🤖Prompt Engineering: Prompt Engineering (Just the Quotes)

"[...] building an effective LLM-based application can require more than just plugging in a pre-trained model and retrieving results - what if we want to parse them for a better user experience? We might also want to lean on the learnings of massively large language models to help complete the loop and create a useful end-to-end LLM-based application. This is where prompt engineering comes into the picture." (Sinan Ozdemir, "Quick Start Guide to Large Language Models: Strategies and Best Practices for Using ChatGPT and Other LLMs", 2024)

"Prompt engineering involves crafting inputs to LLMs (prompts) that effectively communicate the task at hand to the LLM, leading it to return accurate and useful outputs. Prompt engineering is a skill that requires an understanding of the nuances of language, the specific domain being worked on, and the capabilities and limitations of the LLM being used." (Sinan Ozdemir, "Quick Start Guide to Large Language Models: Strategies and Best Practices for Using ChatGPT and Other LLMs", 2024)

"As the tech industry moves from non-generative models to generative models, it is shifting away from feature engineering, or creating features to model the data and experimenting with different hyperparameters to optimize performance. Generative models, and specifically LLMs, do not require feature engineering. Today, the core requirements are usually prompt engineering or building a RAG pipeline - skills that lie within the domain of AI engineers." (Abi Aryan, "LLMOps: Managing Large Language Models in Production", 2025)

"In prompt engineering, we customize the prompts or questions we give the model to get more accurate or insightful responses. The way a prompt is structured has a massive impact on how well a model understands the task at hand and, ultimately, how well it performs. Given LLMs’ versatility, prompt engineering has become an important skill for getting the most out of these models across different domains and tasks. The key is to understand how different prompt structures lead to different model behaviors. There are various strategies - ranging from simple one-shot prompting to more complex techniques like chain-of-thought prompting - that can significantly improve the effectiveness of LLMs." (Abi Aryan, "LLMOps: Managing Large Language Models in Production", 2025)

"[...] prompt engineering, the science and art of crafting the text inputs that are sent to the models. Prompt updates can significantly improve or degrade the user experience. But prompt engineering is iterative and can be difficult to master and document, especially with closed-source LLMs." (Abi Aryan, "LLMOps: Managing Large Language Models in Production", 2025)

"Prompt engineering is a crucial aspect of working with large language models (LLMs) like OpenAI's GPT, Google's PaLM, and others in the space of AI and machine learning. It involves the art and science of designing inputs (prompts) in a way that maximizes the quality, relevance, and accuracy of the AI-generated output. As the capabilities of AI continue to improve, the task of crafting effective prompts has become an essential skill for anyone leveraging these tools for real-world applications, including natural language understanding, translation, summarization, code generation, and more." (Code Planet, "Python for Large Language Models", 2025)

"There are three techniques for model domain adaptation: prompt engineering, RAG, and fine-tuning. Strictly speaking, RAG is a form of dynamic prompt engineering where developers use a retrieval system to add content to an existing prompt, but RAG systems are used so often that it’s worth discussing them separately. One critical difference with fine-tuning is that you must have access to the model’s weights, information that is usually not available with cloud-based, proprietary LLMs." (Abi Aryan, "LLMOps: Managing Large Language Models in Production", 2025)

"The art of mega-prompts spanning multiple written pages and looking like essays has become commonplace for complex tasks when building applications to get things 'just right'. Unfortunately, they bring with them lots of issues: errors, portability, complexity, and more. The GenAI world didn’t plan for mega-prompts. They have simply evolved into what they’ve become today because practitioners kept wanting to do more and more complex things, and their only way to express those intents was with a prompt. But step back and look at some of these prompts [...] Lurking just below the surface are a bunch of classical computing concepts like data, programming instructions, control flows, memory, and stora - all the components typically associated with classical computing elements." (Rob Thomas et al, "AI Value Creators: Beyond the Generative AI User Mindset", 2025)

🖍️Dianne Cook - Collected Quotes

"A common myth is that non-linear dimension reduction captures non-linear patterns in the high-dimensional data. It may or may not do this. The term means that the methods transform the data non-linearly into a useful (or not) visual representation." (Dianne Cook & Ursula Laa, "Interactively Exploring High-Dimensional Data and Models in R", 2026)

"Bias and variance are conceptual constructs. Bias is not possible to quantify unless a true model is known. It is used for setting up simulations and comparing various models, because in these controlled scenarios bias and variance can be computed. In practice, it is not possible to compute. Using high-dimensional visualisation can help with understanding the shape of the class and separation between classes. This provides a better sense about whether a particular approach will be able to capture the shape of the boundary or not, and will thus likely have low or high bias." (Dianne Cook & Ursula Laa, "Interactively Exploring High-Dimensional Data and Models in R", 2026)

"Defining an appropriate distance metric from the context ofthe problem is a most important decision. For example, if your variables are all numeric, and on the same scale, then Euclidean distance might be best. If your variables are categorical, you might need to use something like Hamming distance." (Dianne Cook & Ursula Laa, "Interactively Exploring High-Dimensional Data and Models in R", 2026)

"Hierarchical clustering is summarised by a dendrogram, which sequentially shows points being joined to form a cluster, with the corresponding distances. Breaking the data into clusters is done by cutting the dendrogram at the long edges. [...] Plotting the dendrogram in the data space can help you understand how the hierarchical clustering has collected the points together into clusters. You can learn if the algorithm has been confused by nuisance patterns in the data, and how different choices of linkage method affect the result." (Dianne Cook & Ursula Laa, "Interactively Exploring High-Dimensional Data and Models in R", 2026)

"High-dimensional data spaces are fascinating places. You may think that there are a lot of ways to plot one or two variables, and a lot of types of patterns that can be found. You might use a density plot and see skewness or a dot plot to find outliers. A scatterplot of two variables might reveal a non-linear relationship or a barrier beyond which no observations exist. We don’t as yet have so many different choices of plot types for high dimensions, but these types of patterns are also what we seek in scatterplots of high-dimensional data. The additional dimensions can clarify these patterns, so that clusters are likely to be more distinct. Observations that did not appear to be very different can be seen to be lonely anomalies in high dimensions, and that no other observations have quite the same combination of values." (Dianne Cook & Ursula Laa, "Interactively Exploring High-Dimensional Data and Models in R", 2026)

"It is important to visualise your data because you might discover things that you could never have anticipated. Although there are many resources available for data visualisation, there are few comprehensive resources on high-dimensional data visualisation. High-dimensional (or multivariate) data arises when many different things are measured for each observation. While we can learn many things from plotting with 1D and 2D or 3D methods there are likely more structures hidden in the higher dimensions." (Dianne Cook & Ursula Laa, "Interactively Exploring High-Dimensional Data and Models in R", 2026)

"Non-linear dimension reduction (NLDR) aims to find a single low-dimensional representation of the high-dimensional data that shows the main features of the data. If there are separated clusters present, then it might be a layout where the clusters are all distinct, in a way that a single linear projection could not reveal. For observations falling on a low-dimensional non-linear manifold in high dimensions the NLDR might unfold or unroll it so that they are represented in a plane where the distances are similar to their distance along the manifold." (Dianne Cook & Ursula Laa, "Interactively Exploring High-Dimensional Data and Models in R", 2026)

"PCA (Principal Component Analysis) is very broadly useful for summarising linear association by using combinations of the variables that are highly correlated. However, high correlation can also occur when there are outliers or clustering. PCA is commonly used to detect these patterns also, although this might NOT be a reliable way to do so. To detect clustering or anomalies, using a different approach that is specifically focused on these types of patterns is advisable. To some extent capturing clustering or anomalies using PCA is actually finding problematic patterns that adversely affect conducting appropriate dimension reduction." (Dianne Cook & Ursula Laa, "Interactively Exploring High-Dimensional Data and Models in R", 2026)

"PCA (Principal Component Analysis) is not very effective when the distribution of the variables is highly skewed, so it can be helpful to transform variables to make them more symmetrically distributed before conducting PCA. It is also possible to summarise different types of structure by generalising the optimisation criteria to any function of projected data, f(XA), which is called projection pursuit (PP)." (Dianne Cook & Ursula Laa, "Interactively Exploring High-Dimensional Data and Models in R", 2026)

"Unsupervised classification, or cluster analysis, organizes observations into similar groups. Clusteranalysis is a commonly used, appealing, and conceptually intuitive statistical method. Some of its uses include market segmentation, where customers are grouped into clusters with similar attributes for targeted marketing; gene expression analysis, where genes with similar expression patterns are grouped together; and the creation of taxonomies for animals, insects, or plants. Clustering can be used as a way of reducing a massive amount of data because observations within a cluster can be summarised by its centre. Also, clustering effectively subsets the data thus simplifying analysis because observations in each cluster can be analysed separately." (Dianne Cook & Ursula Laa, "Interactively Exploring High-Dimensional Data and Models in R", 2026)

"The way variables are scaled can affect the appearance of dimensionity. If the variables are scaled together, using global values, some variables may have smaller variance than others. Scaling variables individually shifts the focus to association between variables, as the predominant reason for reduced dimension." (Dianne Cook & Ursula Laa, "Interactively Exploring High-Dimensional Data and Models in R", 2026)

"To determine which variables are responsible for the reduced dimension look for the axes that extend out of the point cloud. These contribute to smaller variation in the observations, and thus indicate possible dimension reduction using these variables." (Dianne Cook & Ursula Laa, "Interactively Exploring High-Dimensional Data and Models in R", 2026)

"To understand variance, we need to know how the model fit changes when a different training sample is used to fit the model. This is achieved by dividing the training sample into folds and fitting a model to each fold. This is more difficult to evaluate with visual methods because it would require examining multiple samples for small differences." (Dianne Cook & Ursula Laa, "Interactively Exploring High-Dimensional Data and Models in R", 2026)

"Viewing the dendrograms in high dimensions provides insight into how the algorithm has joined points to clusters. For example, single linkage often has edges leading to a single focal point, which might not yield a useful clustering but might help to 

identify outliers. If the edges point to multiple focal points, with long edges bridging gaps in the data, the result is more likely yielding a useful clustering." (Dianne Cook & Ursula Laa, "Interactively Exploring High-Dimensional Data and Models in R", 2026)

"When exploring the implicit dimensionality of multivariate data we are looking for projections where the points do not fill the plotting canvas fully. This would indicate that the observed values do not fully populate the high dimensions." (Dianne Cook & Ursula Laa, "Interactively Exploring High-Dimensional Data and Models in R", 2026)

📉Graphical Representation: Function (Just the Quotes)

"The best-known function of charts is for demonstration purposes, to show up facts. When so presented they do not require a trained mind for their appreciation, since the spatial sense through the optic nerve is among the commonest of the human attributes." (Allan C Haskell, "How to Make and Use Graphic Charts", 1919)

"Under certain conditions, however, the ordinary form of graphic chart is slightly misleading. It will be conceded that its true function is to portray comparative fluctuations. This result is practically secured when the factors or quantities compared are nearly of the same value or volume, but analysis will show that this is not accomplished when the amounts compared differ greatly in value or volume. [...] The same criticism applies to charts which employ or more scales for various curve. If the different scale are in proper proportion, the result is the same as with one scale, but when two or more scales are used which are not proportional an indication may be given with respect to comparative fluctuations which is absolutely false." (Allan C Haskell, "How to Make and Use Graphic Charts", 1919)

"Graphic presentation is a functional form of art as much as modern painting or architectural design. The painter studies his subject to determine what colors and style and design will best express his ideas. The same kind of imagination is exercised by the graphic artist and analyst. In addition, the graphic analyst has some of the same problems as the architect. The modern architect studies the family, its hobbies, interests, ambitions, and financial status, among other things, before he designs the new home. The graphic analyst should make just as thorough a study of the characteristics of the data and file uses for which it is intended before he designs his project. In the same way that the architect must know his materials and how they can best be used both in traditional ways and in new ways of his own devising, so must the graphic analyst be familiar with materials and techniques." (Mary E Spear, "Charting Statistics", 1952)

"A drawing can show a true picture of both the situation as a whole and its separate components at a glance, and do the job better than could figures or the spoken word. In its essence, a chart is a medium of communication conveying a thought, an idea, a situation from one mind to another and not a work of art or a statistical table. The simpler, the more direct it is, the better it will perform that service which is its sole function." (Anna C Rogers, "Graphic Charts Handbook", 1961)

"Because ease of use is the purpose, this ratio of function to conceptual complexity is the ultimate test of system design. Neither function alone nor simplicity alone defines a good design. [...] Function, and not simplicity, has always been the measure of excellence for its designers." (Fred P Brooks, "The Mythical Man-Month: Essays", 1975)

"Remember, the primary function of a graph of any kind is to illustrate the relationship between two variables. [...] To draw any graph we must have established some relationship between the two variables. This relationship can be in the form of a formula" (equation is the more mathematical term), as we have just seen, or simply a set of observations, as is common in all types of statistical work. Sometimes we develop set of observations and then try to find an equation that expresses, in mathematical language, the relationship between the two variables." (Peter H Selby, "Interpreting Graphs and Tables", 1976)

"Graphic forms help us to perform and influence two critical functions of the mind: the gathering of information and the processing of that information. Graphs and charts are ways to increase the effectiveness and the efficiency of transmitting information in a way that enhances the reader's ability to process that information. Graphics are tools to help give meaning to information because they go beyond the provision of information and show relationships, trends, and comparisons. They help to distinguish which numbers and which ideas are more important than others in a presentation." (Robert Lefferts, "Elements of Graphics: How to prepare charts and graphs for effective reports", 1981)

"Graphs can present internal accounting data effectively. Because one of the main functions of the accountant is to communicate accounting information to users. accountants should use graphs, at least to the extent that they clarify the presentation of accounting data. present the data fairly, and enhance management's ability to make a more informed decision. It has been argued that the human brain can absorb and understand images more easily than words and numbers, and, therefore, graphs may be better communicative devices than written reports or tabular statements." (Anker V Andersen, "Graphing Financial Information: How accountants can use graphs to communicate", 1983)

"In order to be easily understood, a display of information must have a logical structure which is appropriate for the user's knowledge and needs, and this structure must be clearly represented visually. In order to indicate structure, it is necessary to be able to eemphasiz, divide and relate items of information. Visual emphasis can be used to indicate a hierarchical relationship between items of information, as in the case of systems of headings and subheadings for example. Visual separation of items can be used to indicate that they are different in kind or are unrelated functionally, and similarly a visual relationship between items will imply that they are of a similar kind or bear some functional relation to one another. This kind of visual 'coding' helps the reader to appreciate the extent and nature of the relationship between items of information, and to adopt an appropriate scanning strategy." (Linda Reynolds & Doig Simmonds, "Presentation of Data in Science" 4th Ed, 1984)

"The basic principle which should be observed in designing tables is that of grouping related data, either by the use of space or, if necessary, rules. Items which are close together will be seen as being more closely related than items which are farther apart, and the judicious use of space is therefore vitally important. Similarly, ruled lines can be used to relate and divide information, and it is important to be sure which function is required. Rules should not be used to create closed compartments; this is time-wasting and it interferes with scanning." (Linda Reynolds & Doig Simmonds, "Presentation of Data in Science" 4th Ed, 1984)

"The practice of framing an illustration with a drawn rectangle is not recommended. This kind of typographic detailing should never be added purely for aesthetic reasons or for decoration. A simple, purely functional drawing will automatically be aesthetically pleasing. Unnecessary lines usually reduce both legibility and attractiveness." (Linda Reynolds & Doig Simmonds, "Presentation of Data in Science" 4th Ed, 1984)

"A coordinate is a number or value used to locate a point with respect to a reference point, line, or plane. Generally the reference is zero. […] The major function of coordinates is to provide a method for encoding information on charts, graphs, and maps in such a way that viewers can accurately decode the information after the graph or map has been generated. " (Robert L Harris, "Information Graphics: A Comprehensive Illustrated Reference", 1996)

"The main goal of data visualization is its ability to visualize data, communicating information clearly and effectively. It doesn’t mean that data visualization needs to look boring to be functional or extremely sophisticated to look beautiful. To convey ideas effectively, both aesthetic form and functionality need to go hand in hand, providing insights into a rather sparse and complex dataset by communicating its key aspects in a more intuitive way. Yet designers often tend to discard the balance between design and function, creating gorgeous data visualizations which fail to serve its main purpose - communicate information." (Vitaly Friedman, "Data Visualization and Infographics", Smashing Magazine, 2008

"Usually, diagrams contain some noise – information unrelated to the diagram’s primary goal. Noise is decorations, redundant, and irrelevant data, unnecessarily emphasized and ambiguous icons, symbols, lines, grids, or labels. Every unnecessary element draws attention away from the central idea that the designer is trying to share. Noise reduces clarity by hiding useful information in a fog of useless data. You may quickly identify noise elements if you can remove them from the diagram or make them less intense and attractive without compromising the function." (Vasily Pantyukhin, "Principles of Design Diagramming", 2015)

"The sizes of charts in space reflect how we convey information to a reader. In a dashboard context, the content, size, and space that the various charts occupy should reflect the form and function of the main message. As you saw with the bento box metaphor from the introduction, there needs to be deliberate thought put into the placement and size of each individual chart so that they all work together in harmony." (Vidya Setlur & Bridget Cogley, "Functional Aesthetics for data visualization", 2022)

"Good design serves a more important function than simply pleasing you: It helps you access ideas. It improves your comprehension and makes the ideas more persuasive. Good design makes lesser charts good and good charts transcendent." (Scott Berinato, "Good Charts : the HBR guide to making smarter, more persuasive data visualizations", 2023)

"Graphic design is not just about making things look good. It is a powerful combination of form and function that uses visual elements to communicate a message. Form refers to the physical appearance of a design, such as its shape, color, and typography. Function refers to the purpose of a design, such as what it is trying to communicate or achieve. A good graphic design is both visually appealing and functional. It uses the right combination of form and function to communicate its message effectively. Graphic design is also a strategic and thoughtful craft. It requires careful planning and execution to create a design that is both effective and aesthetically pleasing." (Faith Aderemi, "The Essential Graphic Design Handbook", 2024)

🖍️James G Scott - Collected Quotes

"A histogram is a great way to depict the distribution of a numerical variable. To construct one, we first partition the range of possible outcomes (here, temperatures) into a set of disjoint intervals ('bins'). Next, we count the number of cases that fall into each bin. Finally, we draw a rectangle over each bin whose height is equal to the count within each bin." (James G Scott, "Statistical Modeling: A Gentle Introduction", 2017)

"A model is a metaphor, a description of a system that helps us to reason more clearly. Like all metaphors, models are approximations, and will never account for every last detail. A useful mantra here is: all models are wrong, but some models are useful." (James G Scott, "Statistical Modeling: A Gentle Introduction", 2017)

"[...] always remember that the construction of an ANOVA table is inherently sequential. For example, first we add the clutter variable, which remains in the model at every subsequent step; then we add the distance variable, which remains in the model at every subsequent step; and so forth. Thus the actual question being answered at each stage of an analysis of variance is: how much variation in the response can this new variable predict, in the context of what has already been predicted by other variables in the model? This point - the importance of context in interpreting an ANOVA table - is subtle, but important." (James G Scott, "Statistical Modeling: A Gentle Introduction", 2017)

"An obvious question is: do bootstrapped confidence intervals satisfy the frequentist coverage property? If your sample is fairly representative of the population, then the answer is a qualified yes. That is, the bootstrapping procedure yields nominal X% intervals that cover the true value 'approximately' X% of the time. Moreover, as the size of the original sample gets bigger, the quality of the approximation gets better. Alas, it is necessary to appeal to some very advanced probability theory to put both of these claims on firm footing." (James G Scott, "Statistical Modeling: A Gentle Introduction", 2017)

"At the core of the resampling approach to statistical inference lies a simple idea. Most of the time, we can’t feasibly take repeated samples of size n from the population, to see how our estimate changes from one sample to the next. But we can repeatedly take samples of size n from the sample itself, and apply our estimator afresh to each notional sample. The idea is that the variability of the estimates across all these samples can be used to approximate our estimator’s true sampling distribution. This process - pretending that our sample is the whole population, and taking repeated samples of size n with replacement from our original sample of size n - is called bootstrap resampling, or just bootstrapping" (James G Scott, "Statistical Modeling: A Gentle Introduction", 2017)

"By themselves, sums of squares are hard to interpret, because they are measured in squared units of the Y variable. But their ratios are highly meaningful. In fact, the ratio of PV to TV - or what fraction of the total variation has been predicted by the model - is one of the most frequently quoted summary measures in all of statistical modeling. This ratio is called the coefficient of determination, and is usually denoted by the symbol R2 [...] The correct interpretation of R2 sometimes trips people up, and is therefore worth repeating: it is the proportion of variance in the data that can be predicted using the statistical model in question." (James G Scott, "Statistical Modeling: A Gentle Introduction", 2017)

"[boxplots] allow you to assess variability both between and within the groups. [...] Each box shows the within-group variability, as measured by the interquartile range of the numerical variable (SAT score) for all cases in that category. The middle line within each box is the median of that category, and the differences between these medians give you a sense of the between-group variability. In this boxplot, the whiskers extend outside the box no further than 1.5 times the interquartile range. Points outside this interval are shown as individual dots." (James G Scott, "Statistical Modeling: A Gentle Introduction", 2017)

"Good estimators are those that usually yield estimates close to the truth, with minimal variation. Therefore, we typically summarize a sampling distribution using its standard deviation, which we refer to as the standard error. In quoting the standard error of an estimator’s sampling distribution, you are saying: 'If I were to take repeated samples from the population and use this estimatorfor every sample, my estimate is typically off from the truth by about this much.' Notice again that this is a claim about a procedure, not a particular estimate. The bigger the standard error, the less stable the estimator across different samples, and the less you can trust the estimate for any particular sample." (James G Scott, "Statistical Modeling: A Gentle Introduction", 2017)

"In fitting statistical models, we typically equate the trustworthiness of a procedure with its stability under the influence of luck, and we seek to measure the degree to which that procedure might have given a different answer if the forces of randomness had made the world look a bit different. Specifically, the question we seek to answer is: 'if our data set had been different merely due to chance, would our answer have been different, too?'" (James G Scott, "Statistical Modeling: A Gentle Introduction", 2017)

"Model-building requires much more than just technical knowledge of statistical ideas. It also requires care and judgment, and cannot be reduced to a flowchart, a table of formulas, or a tidy set of numerical summaries that wring every last drop of truth from a data set. There is almost never a single 'right' statistical model for some problem. But there are definitely such things as good models and bad models, and learning to tell the difference is important. Just remember: calling a model good or bad requires knowing both the tool and the task." (James G Scott, "Statistical Modeling: A Gentle Introduction", 2017)

"[...] complexity sometimes comes at the expense of explanatory power. We must avoid building models calibrated so perfectly to past experience that they do not generalize to future cases." (James G Scott, "Statistical Modeling: A Gentle Introduction", 2017)

"It is common to view a statistical model as nothing more than a recipe for calculating the fitted values, and to think that the residuals are just the errors made by this model. But we’ll have a richer picture if instead we view the residuals as part of the model. If you’ve ignored the variation in the residuals, then you really haven’t specified a complete forecast." (James G Scott, "Statistical Modeling: A Gentle Introduction", 2017)

"Resampling won’t yield the true sampling distribution of an estimator, but it is often good enough for approximating the standard error (which you’ll remember is just the standard deviation of the sampling distribution). We use the term bootstrapped standard error for the standard deviation of the bootstrapped sampling distribution. The bootstrapped standard error is an estimate of the true standard error." (James G Scott, "Statistical Modeling: A Gentle Introduction", 2017)

"Tables are almost always the best way to display categorical data sets with few classifying variables, for the simple reason that they convey a lot of information in a small space." (James G Scott, "Statistical Modeling: A Gentle Introduction", 2017)

"The residuals from a regression model are sometimes called 'errors'. This is especially true in experimental science, where measurements of some Y variable will be taken at different values of the X variable (called design points), and where noisy measurement instruments can introduce random errors into theobservations. But in many cases this interpretation of a residual as an error can be misleading. A regression model can still give a nonzero residual, even if there is no mistake in the measurement of the Y variable. It’s often far more illuminating to think of the residual as the part of the Y variable that it is left unpredicted by X." (James G Scott, "Statistical Modeling: A Gentle Introduction", 2017)

🤖Prompt Engineering: Large Language Modeld [LLMs] (Just the Quotes)

"Another problem that can be confusing is that LLMs seldom put out the same thing twice. [...] Traditional databases are straightforward - you ask for something specific, and you get back exactly what was stored. Search engines work similarly, finding existing information. LLMs work differently. They analyze massive amounts of text data to understand statistical patterns in language. The model processes information through multiple layers, each capturing different aspects - from simple word patterns to complex relationships between ideas." (Jeremy C Morgan, "Coding with AI: Examples in Python", 2025)

"Generative AI for coding and language tools is based on the LLM concept. A large language model is a type of neural network that processes and generates text in a humanlike way. It does this by being trained on a massive dataset of text, which allows it to learn human language patterns, as described previously. It lets LLMs translate, write, and answer questions with text. LLMs can contain natural language, source code, and  more." (Jeremy C Morgan, "Coding with AI: Examples in Python", 2025)

"Generative AI tools for coding are sometimes inaccurate. They can produce results that look good but are wrong. This is common with LLMs. They can write code or chat like a person. And sometimes, they share information that’s just plain wrong. Not just a bit off, but totally backwards or nonsense. And they say it so confidently! We call this 'hallucinating', which is a funny term, but it makes sense." (Jeremy C Morgan, "Coding with AI: Examples in Python", 2025)

"In prompt engineering, we customize the prompts or questions we give the model to get more accurate or insightful responses. The way a prompt is structured has a massive impact on how well a model understands the task at hand and, ultimately, how well it performs. Given LLMs’ versatility, prompt engineering has become an important skill for getting the most out of these models across different domains and tasks. The key is to understand how different prompt structures lead to different model behaviors. There are various strategies - ranging from simple one-shot prompting to more complex techniques like chain-of-thought prompting - that can significantly improve the effectiveness of LLMs." (Abi Aryan, "LLMOps: Managing Large Language Models in Production", 2025)

"It’s essentially a sophisticated prediction system. Instead of looking up stored answers, an LLM calculates probabilities to determine what text should come next. While these predictions are often accurate, they’re still predictions - which is why it’s crucial to verify any code or factual claims the model generates. This probabilistic nature makes LLMs powerful tools for generating text and code but also means they can make mistakes, even when seeming very confident. Understanding this helps set realistic expectations about what these tools can and cannot do reliably."  (Jeremy C Morgan, "Coding with AI: Examples in Python", 2025)

"LLMs can inadvertently produce toxic content or biased language, leak private information, or be vulnerable to jailbreak prompts. These risks carry serious legal and reputational consequences. To mitigate them, evaluation tools must integrate automated filters and classifiers that flag problematic outputs in real time, as we discussed earlier in the chapter. Metrics such as safety scores, toxicity indices, and bias measurements should be collected alongside model metadata for auditing purposes." (Abi Aryan, "LLMOps: Managing Large Language Models in Production", 2025)

"LLM deployment failures often trace back not to the model itself, but to the prompts it receives. In production environments, prompts are rarely fixed, handcrafted snippets. Instead, they are dynamically generated, assembled from templates, and parameterized based on upstream data sources or evolving user state. This dynamism introduces complexity and variability that can subtly undermine the system’s performance if not carefully managed." (Abi Aryan, "LLMOps: Managing Large Language Models in Production", 2025)

"LLMs excel at understanding context and making associations among words, phrases, and concepts to provide relevant information based on the input query or prompt. While structured knowledge bases rely on humancurated data, LLMs can  automatically extract knowledge from unstructured text. When trained on diverse textual sources, they can process a vast amount of information without explicit human intervention. However, this also introduces a challenge, as the model can learn biased or incorrect information from the training data." (Abi Aryan, "LLMOps: Managing Large Language Models in Production", 2025)

"Prompt engineering is a crucial aspect of working with large language models (LLMs) like OpenAI's GPT, Google's PaLM, and others in the space of AI and machine learning. It involves the art and science of designing inputs (prompts) in a way that maximizes the quality, relevance, and accuracy of the AI-generated output. As the capabilities of AI continue to improve, the task of crafting effective prompts has become an essential skill for anyone leveraging these tools for real-world applications, including natural language understanding, translation, summarization, code generation, and more." (Code Planet, "Python for Large Language Models", 2025)

"[...] LLMs raise serious concerns about ethics, bias and fairness, errors in reasoning, hallucinations, and misuse (e.g., misinformation and disinformation). These concerns are exacerbated by modern LLMs being both literal and figurative 'black boxes': Literal black boxes because many advanced AI systems are proprietary and the weights (trained parameters of the models) are not released to the public; and figurative black boxes because even the open-source AI models are so complicated that understanding them and developing safety guardrails has thus far proven extremely difficult." (Mike X Cohen,"50 ML Projects To Understand LLMs", 2026)

"ML is a useful - and under-utilized - framework for studying LLMs. For one thing, LLMs are literally composed of simple ML algorithms (linear weighted averages and nonlinear transformations). Furthermore, using ML techniques like regression, classification, and clustering, can help reveal how concepts like grammar rules are represented inside LLMs. And finally, many people find LLMs to be intimidatingly complicated while finding ML to be much more approachable. Thus, using ML to study LLMs involves using simple tools to understand complicated tools." (Mike X Cohen,"50 ML Projects To Understand LLMs", 2026)

🤖Prompt Engineering: Agents (Just the Quotes)

"An internal model allows a system to look ahead to the future consequences of current actions, without actually committing itself to those actions. In particular, the system can avoid acts that would set it irretrievably down some road to future disaster ('stepping off a cliff'). Less dramatically, but equally important, the model enables the agent to make current 'stage-setting' moves that set up later moves that are obviously advantageous. The very essence of a competitive advantage, whether it be in chess or economics, is the discovery and execution of stage-setting moves." (John H Holland, 1992)

"The systems' basic components are treated as sets of rules. The systems rely on three key mechanisms: parallelism, competition, and recombination. Parallelism permits the system to use individual rules as building blocks, activating sets of rules to describe and act upon the changing situations. Competition allows the system to marshal its rules as the situation demands, providing flexibility and transfer of experience. This is vital in realistic environments, where the agent receives a torrent of information, most of it irrelevant to current decisions. The procedures for adaptation - credit assignment and rule discovery - extract useful, repeatable events from this torrent, incorporating them as new building blocks. Recombination plays a key role in the discovery process, generating plausible new rules from parts of tested rules. It implements the heuristic that building blocks useful in the past will prove useful in new, similar contexts." (John H Holland, "Complex Adaptive Systems", Daedalus Vol. 121 (1), 1992) 

"If we are to understand the interactions of a large number of agents, we must first be able to describe the capabilities of individual agents." (John H Holland, "Hidden Order: How Adaptation Builds Complexity", 1995)

"The no free lunch theorem for machine learning states that, averaged over all possible data generating distributions, every classification algorithm has the same error rate when classifying previously unobserved points. In other words, in some sense, no machine learning algorithm is universally any better than any other. The most sophisticated algorithm we can conceive of has the same average performance (over all possible tasks) as merely predicting that every point belongs to the same class. [...] the goal of machine learning research is not to seek a universal learning algorithm or the absolute best learning algorithm. Instead, our goal is to understand what kinds of distributions are relevant to the 'real world' that an AI agent experiences, and what kinds of machine learning algorithms perform well on data drawn from the kinds of data generating distributions we care about." (Ian Goodfellow et al, "Deep Learning", 2015)

"Inference is to bring about a new thought, which in logic amounts to drawing a conclusion, and more generally involves using what we already know, and what we see or observe, to update prior beliefs. […] Inference is also a leap of sorts, deemed reasonable […] Inference is a basic cognitive act for intelligent minds. If a cognitive agent (a person, an AI system) is not intelligent, it will infer badly. But any system that infers at all must have some basic intelligence, because the very act of using what is known and what is observed to update beliefs is inescapably tied up with what we mean by intelligence. If an AI system is not inferring at all, it doesn’t really deserve to be called AI." (Erik J Larson, "The Myth of Artificial Intelligence: Why Computers Can’t Think the Way We Do", 2021)

"Agentic intelligence feels incredibly powerful in demos but breaks in production. Indeed, it is very fragile without solid infrastructure. Every day, I personally see tons of clever orchestrations around dumb prompt chains tied up in a brittle, underused LLMOps infrastructure. But building this infrastructure means acknowledging the costs: performance overhead, strict interface contracts, and state complexity, as well as a need for more LLMOps engineers to create the best practices, tooling, and frameworks to run these systems reliably, safely, and robustly." (Abi Aryan, "LLMOps: Managing Large Language Models in Production", 2025)

"Agentic workflows break when the logic is messy - if, say, the plans don’t decompose or memory is poorly structured. However, infrastructure-level LLM applications introduce even more failure points and complexity. If the protocols don’t sync with each other, or the data flows start leaking, or the model boundaries are unclear... there are far too many failure points to count. While most people have been jumping on the bandwagon to adopt MCPs or A2A, very few are equipped to handle the LLMOps issues these tools introduce." (Abi Aryan, "LLMOps: Managing Large Language Models in Production", 2025)

"Prompt injection is a security vulnerability that is specific to AI systems, especially LLM systems, in which malicious users try to manipulate prompts to make a model behave in a certain unintended way. They may try to get it to leak data, execute unauthorized tasks (especially with agentic systems), or ignore constraints. This is possible because LLMs are typically encapsulated inside applications using metaprompts, which are developer-created instructions that define the model’s behavior. Metaprompts usually contain safeguard instructions, such as 'do not use curse words', and placeholders where the input submitted by the user is pasted. The user’s input is combined with the metaprompts into a larger prompt that then goes to the model." (Abi Aryan, "LLMOps: Managing Large Language Models in Production", 2025)

"The simplest form of an agent is little more than a wrapped prompt. It takes an input, does some local reasoning, returns an output, and exits. There’s no memory, no iteration, no 

feedback loop. These are useful when the task is bounded, like generating a SQL query, converting a paragraph to a tweet, or answering a direct question. But single-step agents 

are brittle. They assume everything is known up front. They can’t handle surprises or partial failures. You’ll quickly outgrow them when tasks involve multiple actions or require state tracking." (Abi Aryan, "LLMOps: Managing Large Language Models in Production", 2025)

🤖Prompt Engineering: Prompting (Just the Quotes)

"A prompt is a piece of text - questions, thoughts, ideas, or phrases - that you give to the model as a starting point for generating text. A prompt can be a short question, or it can be paragraphs in length." (TJ Books, "Create Highly Effective Prompts, Strategies, and Best Practices to From Novice to Expert", 2023)

"As the tech industry moves from non-generative models to generative models, it is shifting away from feature engineering, or creating features to model the data and experimenting with different hyperparameters to optimize performance. Generative models, and specifically LLMs, do not require feature engineering. Today, the core requirements are usually prompt engineering or building a RAG pipeline - skills that lie within the domain of AI engineers." (Abi Aryan, "LLMOps: Managing Large Language Models in Production", 2025)

"In prompt engineering, we customize the prompts or questions we give the model to get more accurate or insightful responses. The way a prompt is structured has a massive impact on how well a model understands the task at hand and, ultimately, how well it performs. Given LLMs’ versatility, prompt engineering has become an important skill for getting the most out of these models across different domains and tasks. The key is to understand how different prompt structures lead to different model behaviors. There are various strategies - ranging from simple one-shot prompting to more complex techniques like chain-of-thought prompting - that can significantly improve the effectiveness of LLMs." (Abi Aryan, "LLMOps: Managing Large Language Models in Production", 2025)

"[...] prompt engineering, the science and art of crafting the text inputs that are sent to the models. Prompt updates can significantly improve or degrade the user experience. But prompt engineering is iterative and can be difficult to master and document, especially with closed-source LLMs." (Abi Aryan, "LLMOps: Managing Large Language Models in Production", 2025)

"Professional software developers must know how to use AI tools strategically.  This involves mastering advanced prompting techniques and working with AI across various files and modules. We must also learn how to manage context wisely. This is a new concept for most, and it is vitally important with code generation. AI-generated code requires the same scrutiny and quality checks as any code written by humans." (Jeremy C Morgan, "Coding with AI: Examples in Python", 2025)

"Prompt engineering is a crucial aspect of working with large language models (LLMs) like OpenAI's GPT, Google's PaLM, and others in the space of AI and machine learning. It involves the art and science of designing inputs (prompts) in a way that maximizes the quality, relevance, and accuracy of the AI-generated output. As the capabilities of AI continue to improve, the task of crafting effective prompts has become an essential skill for anyone leveraging these tools for real-world applications, including natural language understanding, translation, summarization, code generation, and more." (Code Planet, "Python for Large Language Models", 2025)

"Prompt injection is a security vulnerability that is specific to AI systems, especially LLM systems, in which malicious users try to manipulate prompts to make a model behave in a certain unintended way. They may try to get it to leak data, execute unauthorized tasks (especially with agentic systems), or ignore constraints. This is possible because LLMs are typically encapsulated inside applications using metaprompts, which are developer-created instructions that define the model’s behavior. Metaprompts usually contain safeguard instructions, such as 'do not use curse words', and placeholders where the input submitted by the user is pasted. The user’s input is combined with the metaprompts into a larger prompt that then goes to the model." (Abi Aryan, "LLMOps: Managing Large Language Models in Production", 2025)

"Recursive prompting is a systematic approach to achieving higher-quality outputs through iterative refinement. Rather than accepting the first response, it uses a step-by-step process of evaluation and improvement, making it particularly valuable for complex tasks such as code development, writing, and problem-solving. Our example demonstrated how a basic factorial function evolved from a simple implementation to a robust, optimized solution through multiple iterations of targeted refinements." (Jeremy C Morgan, "Coding with AI: Examples in Python", 2025)

"The simplest form of an agent is little more than a wrapped prompt. It takes an input, does some local reasoning, returns an output, and exits. There’s no memory, no iteration, no 

feedback loop. These are useful when the task is bounded, like generating a SQL query, converting a paragraph to a tweet, or answering a direct question. But single-step agents 

are brittle. They assume everything is known up front. They can’t handle surprises or partial failures. You’ll quickly outgrow them when tasks involve multiple actions or require state tracking." (Abi Aryan, "LLMOps: Managing Large Language Models in Production", 2025)

"With MCP, a model no longer has to guess what’s possible. Instead, it can discover tools, query data sources, and select prompts - all in real time, all through a shared protocol. This means a model doesn’t just generate responses; it acts, it calls tools, it gathers context, and it learns how to interact with the outside world in a modular,controlled way." (Abi Aryan, "LLMOps: Managing Large Language Models in Production", 2025)

📉Graphical Representation: Overlapping (Just the Quotes)

"[...] for merely theoretical purposes the rule of formation would be very simple. It would merely be to begin by drawing any closed figure, and then proceed [sic] to draw others, subject to the one condition that each is to intersect once and once only all the existing subdivisions produced by those which had gone before." (John Venn, "On the Diagrammatic and Mechanical Representation of Propositions and Reasonings", 1880)

"Whereas the Eulerian plan endeavoured at once and directly to represent propositions, or relations of class terms to one another, we shall find it best to begin by representing only classes, and then proceed to modify these in some way so as to make them indicate what our propositions have to say. How, then, shall we represent all the subclasses which two or more class terms can produce? Bear in mind that what we have to indicate is the successive duplication of the number of subdivisions produced by the introduction of each successive term. and we shall see our way to a very important departure from the Eulerian conception. All that we have to do is to draw our figures, say circles, so that each successive one which we introduce shall intersect once, and once only, all the subdivisions already existing, and we then have what may be called a general framework indicating every possible combination producible by the given class terms." (John Venn, "On the Diagrammatic and Mechanical Representation of Propositions and Reasonings", 1880)

"The practice of drawing several curves on the same sheet is not to be commended except in cases where the curves will not intersect. A crowded chart on which the curves frequently intersect resembles a Chinese puzzle more than a graphic record, and a report submitted in figures is to be preferred to a chart of this kind. Even when the curves do not intersect, they should be made in different colors in order that they may be readily distinguished, one from the other." (Allan C Haskell, "How to Make and Use Graphic Charts", 1919)

"If two or more data paths ate to appear on the graph. it is essential that these lines be labeled clearly, or at least a reference should be provided for the reader to make the necessary identifications. While clarity seems to be a most obvious goal. graphs with inadequate or confusing labeling do appear in publications, The user should not find identification of data paths troublesome or subject to misunderstanding. The designer normally should place no more than three data paths on the graph to prevent confusion - particularly if the data paths intersect at one or more points on the Cartesian plane." (Cecil H Meyers, "Handbook of Basic Graphs: A modern approach", 1970)

"The quantile plot is a good general display since it is fairly easy to construct and does a good job of portraying many aspects of a distribution. Three convenient features of the plot are the following: First, in constructing it, we do not make any arbitrary choices of parameter values or cell boundaries [...] and no models for the data are fitted or assumed. Second, like a table, it is not a summary but a display of all the data. Third, on the quantile plot every point is plotted at a distinct location, even if there are duplicates in the data. The number of points that can be portrayed without overlap is limited only by the resolution of the plotting device. For a high resolution device several hundred points distinguished." (John M Chambers et al, "Graphical Methods for Data Analysis", 1983)

"Two types of graphic organizers are commonly used for comparison: the Venn diagram and the comparison matrix [...] the Venn diagram provides students with a visual display of the similarities and differences between two items. The similarities between elements are listed in the intersection between the two circles. The differences are listed in the parts of each circle that do not intersect. Ideally, a new Venn diagram should be completed for each characteristic so that students can easily see how similar and different the elements are for each characteristic used in the comparison." (Robert J. Marzano et al, "Classroom Instruction that Works: Research-based strategies for increasing student achievement, 2001)

"The notion of outcomes covering a space is a very useful mental image, as it ties in strongly with the use of Venn diagrams and tables for clarifying the nature of possible events resulting from a trial. There are two important aspects to this. First, when enumerating the various outcomes that comprise an event, the number of" (equally. likely) outcomes should correspond, visually, with the area of that part of the diagram represented by the event in question - the greater the probability, the larger the area. Secondly, where events overlap (for example, when rolling a die, consider the two events 'getting an even score' and 'getting a score greater than 2' ), the various regions in the Venn diagram help to clarify the various combinations of events that might occur." (Alan Graham, "Developing Thinking in Statistics", 2006)

"There are some chart types that occasionally appear in print but are so bad that they serve neither honesty nor deceit. Among these monuments to human ingenuity at the expense of common sense are the concentric donut and overlapping segments. The concentric donut is really just a bar or column chart bent back on itself to save space. However as anyone who has ever watched a two or four hundred metre race will know, to make sense of the order of arrival at the tape you have to stagger the start to take account of the bend in the track. Blithely ignoring this problem, the concentric donut uses to diminish the difference between the inner and the outer absolute values by anything up to 2.5 times." (Nicholas Strange, "Smoke and Mirrors: How to bend facts and figures to your advantage", 2007)

"Shingling is the process of dividing a continuous variable into - possibly overlapping - intervals in order to convert a continuous variable into a discrete variable. Shingling is quite different from conditioning on categorical variables. Overlapping shingles/intervals lead to multiple representation of data within a trellis display, which is not the case for categorical variables. Furthermore, it is challenging to judge which intervals/cases have been chosen to build a shingle. Trellis displays represent the shingle interval visually by an interval of the strip label. Although no plotting space is wasted, the information on the intervals is difficult to read from the strip label. Despite these drawbacks, there is a valid motivation for shingling […]." (Martin Theus & Simon Urbanek, "Interactive Graphics for Data Analysis: Principles and Examples", 2009) 

"Trellis displays introduce the concept of shingling. Shingling is the process of dividing a continuous variable into - possibly overlapping - intervals in order to convert a continuous variable into a discrete variable. Shingling is quite different from conditioning on categorical variables. Overlapping shingles/intervals lead to multiple representation of data within a trellis display, which is not the case for categorical variables. Furthermore, it is challenging to judge which intervals/cases have been chosen to build a shingle. Trellis displays represent the shingle interval visually by an interval of the strip label. Although no plotting space is wasted, the information on the intervals is difficult to read from the strip label. Despite these drawbacks, there is a valid motivation for shingling," (Martin Theus & Simon Urbanek, "Interactive Graphics for Data Analysis: Principles and Examples", 2009)

"We see first what stands out. Our eyes go right to change and difference - peaks, valleys, intersections, dominant colors, outliers. Many successful charts - often the ones that please us the most and are shared and talked about - exploit this inclination by showing a single salient point so clearly that we feel we understand the chart’s meaning without even trying." (Scott Berinato, "Good Charts : the HBR guide to making smarter, more persuasive data visualizations", 2023)

"Another way to make points visible on a crowded visualization is to change the opacity of the points. This makes it easier to see where the points overlap. Opacity is a way of describing how hard it is to see though something. If it’s hard to see through, then it’s opaque or has a high opacity. Transparency is the opposite: if something is easy to see through, you can say that it is transparent." (Nancy Organ, "Data Visualization for People of All Ages", 2024)

🤖〽️Prompt Engineering: Copilot Unabridged (Part 212: How Multi‑Modal Stressors Enable Holistic Evaluation Through Incomplete or Corrupted Inputs in AI Models)

Prompt Engineering Series

Prompt: "write a post of 600 words on how to use multi‑modal stressors for holistic evaluation in which stress testing reflects the complexity through incomplete or corrupted inputs in AI models"

Introduction

As Artificial Intelligence (AI) systems expand into multi‑modal architectures - processing text, images, audio, diagrams, tables, and code - their vulnerabilities become more complex. Real‑world environments rarely present clean, perfectly aligned inputs. Instead, models must interpret incomplete, corrupted, or partially contradictory signals across modalities. This is where multi‑modal stressors become essential. By deliberately introducing degraded or inconsistent inputs, evaluators can observe how the model prioritizes signals, how it compensates for missing information, and where its reasoning begins to break down.

Incomplete or corrupted inputs matter because each modality activates different representational pathways. Text relies on linguistic priors; images rely on spatial embeddings; audio relies on temporal patterns; code relies on structural logic. When one modality is degraded, the model must decide whether to rely more heavily on the remaining modalities or attempt to reconstruct the missing information. That decision exposes its internal hierarchy of cues, a central theme in instruction‑priority testing.

One of the simplest multi‑modal stressors is the partially corrupted image. For example, an image may be blurred, occluded, or missing key regions, while the accompanying text describes a scene that may or may not match the visible content. This tests whether the model over‑trusts visual fragments or defaults to textual interpretation. The result reveals how the model resolves conflicts between incomplete sensory input and linguistic cues - an essential capability for real‑world robustness.

A more advanced technique involves cross‑signal incompleteness, where each modality is missing different pieces of information. For example:

• The text describes an event but omits the key actor.
• The image shows the actor but hides the action.
• The audio clip provides environmental noise but no speech.

The model must integrate these partial signals to form a coherent interpretation. This exposes whether the model can perform multi‑modal reconstruction, or whether it collapses into hallucination or over‑generalization - patterns often surfaced through weak‑point analysis.

Another powerful stressor is corrupted‑modality contradiction, where the corruption itself creates misleading cues. For example, a distorted audio clip may sound angry even though the text describes a calm conversation. Or a corrupted diagram may misalign labels, contradicting the accompanying explanation. These stressors force the model to determine whether the corruption is noise or signal. The model’s behavior reveals whether it can distinguish reliable from unreliable modalities, a key insight for holistic evaluation.

Incomplete inputs can also be used to test temporal resilience. A video clip may drop frames, skip segments, or freeze mid‑action, while the text describes a continuous sequence. The model must decide whether to trust the visual timeline or the textual narrative. This exposes how the model handles temporal reasoning, a capability often overlooked in single‑modality evaluation.

The most challenging multi‑modal stressors involve hybrid corrupted inputs, where multiple modalities degrade in different ways. For example:

• A table with missing values contradicts a narrative summary.
• A diagram with corrupted labels conflicts with a code snippet.
• An audio clip with static obscures key words while the text misidentifies the speaker.

These hybrid contradictions push the model into conceptual regions where no training example exists. The resulting behavior reveals the model’s cross‑modal arbitration strategy, a crucial insight for understanding its robustness.

Ultimately, multi‑modal stressors that use incomplete or corrupted inputs allow evaluators to move beyond surface‑level robustness. By introducing degradation across text, images, audio, diagrams, and structured data, we can map the deep architecture of model reasoning - how it prioritizes modalities, how it compensates for missing information, and where its internal logic becomes unstable. This is the next frontier of boundary‑stress evaluation: not just testing what the model can do, but testing how it behaves when the world becomes noisy, partial, and imperfect.

Disclaimer: The whole text was generated by Copilot (under Windows 11) at the first attempt. This is just an experiment to evaluate feature's ability to answer standard general questions, independently on whether they are correctly or incorrectly posed. Moreover, the answers may reflect hallucinations and other types of inconsistent or incorrect reasoning.

Previous Post <<||>> Next Post

📉Graphical Representation: Gaps (Just the Quotes)

"The space between columns, on the other hand, should be just sufficient to separate them clearly, but no more. The columns should not, under any circumstances, be spread out merely to fill the width of the type area. […] Sometimes, however, it is difficult to avoid undesirably large gaps between columns, particularly where the data within any given column vary considerably in length. This problem can sometimes be solved by reversing the order of the columns […]. In other instances the insertion of additional space after every fifth entry or row can be helpful, […] but care must be taken not to imply that the grouping has any special meaning." (Linda Reynolds & Doig Simmonds, "Presentation of Data in Science" 4th Ed, 1984)

"It is common for positive data to be skewed to the right: some values bunch together at the low end of the scale and others trail off to the high end with increasing gaps between the values as they get higher. Such data can cause severe resolution problems on graphs, and the common remedy is to take logarithms. Indeed, it is the frequent success of this remedy that partly accounts for the large use of logarithms in graphical data display." (William S Cleveland, "The Elements of Graphing Data", 1985)

"Use of a histogram should be strictly reserved for continuous numerical data or for data that can be effectively modelled as continuous […]. Unlike bar charts, therefore, the bars of a histogram corresponding to adjacent intervals should not have gaps between them, for obvious reasons." (Alan Graham, "Developing Thinking in Statistics", 2006)

"When it comes to drawing a picture of continuous data, you need to think through carefully where one interval ends and the next one begins. Failing to do this can result in overlaps or gaps between adjacent intervals, which can cause confusion." (Alan Graham, "Developing Thinking in Statistics", 2006)

"Perception requires imagination because the data people encounter in their lives are never complete and always equivocal. [...] We also use our imagination and take shortcuts to fill gaps in patterns of nonvisual data. As with visual input, we draw conclusions and make judgments based on uncertain and incomplete information, and we conclude, when we are done analyzing the patterns, that out picture is clear and accurate. But is it?" (Leonard Mlodinow, "The Drunkard’s Walk: How Randomness Rules Our Lives", 2008)

"Histograms are often mistaken for bar charts but there are important differences. Histograms show distribution through the frequency of quantitative values (y axis) against defined intervals of quantitative values(x axis). By contrast, bar charts facilitate comparison of categorical values. One of the distinguishing features of a histogram is the lack of gaps between the bars [...]" (Andy Kirk, "Data Visualization: A successful design process", 2012)

"Are your insights based on data that is accurate and reliable? Trustworthy data is correct or valid, free from significant defects and gaps. The trustworthiness of your data begins with the proper collection, processing, and maintenance of the data at its source. However, the reliability of your numbers can also be influenced by how they are handled during the analysis process. Clean data can inadvertently lose its integrity and true meaning depending on how it is analyzed and interpreted." (Brent Dykes, "Effective Data Storytelling: How to Drive Change with Data, Narrative and Visuals", 2019)

"Mind the gap is a common strategy to think about differences between categories in the data [...]. Thinking about why the gap exists can help explain the reality that the chart is representing." (Jose Berengueres & Marybeth Sandell, "Introduction to Data Visualization & Storytelling: A Guide For The Data Scientist" 2nd. Ed., 2019)

"The first epistemic principle to embrace is that there is always a gap between our data and the real world. We fall headfirst into a pitfall when we forget that this gap exists, that our data isn't a perfect reflection of the real-world phenomena it's representing. Do people really fail to remember this? It sounds so basic. How could anyone fall into such an obvious trap?" (Ben Jones, "Avoiding Data Pitfalls: How to Steer Clear of Common Blunders When Working with Data and Presenting Analysis and Visualizations", 2020) 

🤖〽️Prompt Engineering: Copilot Unabridged (Part 211: How Multi‑Modal Stressors Enable Holistic Evaluation Through Cross‑Signal Conflicts in AI Models)

 

Prompt Engineering Series

Prompt: "write a post of 600 words on how to use multi‑modal stressors for holistic evaluation in which stress testing reflects the complexity through Cross‑signal conflicts in AI models"

Introduction

As Artificial Intelligence (AI) systems evolve into multi‑modal architectures - processing text, images, audio, diagrams, tables, and code - their vulnerabilities no longer reside solely in linguistic reasoning. True robustness requires the ability to reconcile cross‑signal conflicts, situations where different modalities provide competing or contradictory information. Multi‑modal stressors are designed to expose these weaknesses by forcing the model to arbitrate between signals that do not align. This approach produces a more holistic evaluation, revealing how the model prioritizes modalities, how it resolves ambiguity, and where its internal logic becomes unstable.

Cross‑signal conflicts matter because each modality activates distinct representational pathways. Text relies on linguistic priors; images rely on spatial and visual embeddings; audio relies on temporal patterns; code relies on structural logic. When these pathways align, the model behaves predictably. When they diverge, the model must choose which signal to trust. That choice exposes its internal hierarchy of cues, a central theme in instruction‑priority testing.

One of the simplest cross‑signal stressors is the modality mismatch. For example, a prompt may show an image of a crowded street but ask the model to describe the empty field in the picture. This tests whether the model prioritizes visual evidence or textual framing. The result reveals how the model resolves conflicts between sensory input and linguistic cues - an essential capability for real‑world robustness.

A more advanced technique involves signal‑layered contradictions, where each modality provides a different instruction or emotional tone. For example, the text may request a neutral description while the image contains emotionally charged content. Or the text may instruct the model to identify objects, while an accompanying audio clip describes a different scene entirely. These contradictions force the model to reconcile semantic, visual, and temporal signals simultaneously. The model’s resolution strategy reveals whether it treats one modality as dominant or attempts to blend them, often exposing weaknesses similar to those mapped through weak‑point analysis.

Another powerful stressor is cross‑modal task interference, where the model must perform two tasks that rely on incompatible modalities. For example:

• Analyze the sentiment of a paragraph while ignoring the contradictory emotional tone of an audio clip.
• Describe the structure of a diagram while following a textual instruction that mislabels its components.

These stressors test whether the model can maintain task boundaries when modalities compete for attention.

Cross‑signal conflicts can also be introduced through temporal misalignment, where modalities reference different timeframes. A video clip may show one sequence of events while the text describes a different timeline. The model must decide whether to anchor itself to the visual chronology or the textual narrative. This exposes how the model handles temporal reasoning, a capability often overlooked in single‑modality evaluation.

The most challenging multi‑modal stressors involve hybrid contradictions, where modalities interact in structurally incompatible ways. For example:

• A table that contradicts the narrative text.
• A diagram whose labels conflict with the code snippet below it.
• An audio clip that negates the instructions provided in text.

These hybrid contradictions push the model into conceptual regions where no training example exists. The resulting behavior reveals the model’s cross‑modal arbitration strategy, a key insight for holistic evaluation.

Ultimately, multi‑modal stressors allow evaluators to move beyond surface‑level robustness. By introducing cross‑signal conflicts across text, images, audio, diagrams, and structured data, we can map the deep architecture of model reasoning - how it prioritizes modalities, how it resolves cross‑channel conflicts, and where its internal logic becomes unstable. This is the next frontier of boundary‑stress evaluation: not just testing what the model can do, but testing how it behaves when the world becomes noisy, contradictory, and multi‑modal.

Disclaimer: The whole text was generated by Copilot (under Windows 11) at the first attempt. This is just an experiment to evaluate feature's ability to answer standard general questions, independently on whether they are correctly or incorrectly posed. Moreover, the answers may reflect hallucinations and other types of inconsistent or incorrect reasoning.

Previous Post <<||>> Next Post

📉Graphical Representation: Resolution (Just the Quotes)

"The quantile plot is a good general display since it is fairly easy to construct and does a good job of portraying many aspects of a distribution. Three convenient features of the plot are the following: First, in constructing it, we do not make any arbitrary choices of parameter values or cell boundaries [...] and no models for the data are fitted or assumed. Second, like a table, it is not a summary but a display of all the data. Third, on the quantile plot every point is plotted at a distinct location, even if there are duplicates in the data. The number of points that can be portrayed without overlap is limited only by the resolution of the plotting device. For a high resolution device several hundred points distinguished." (John M Chambers et al, "Graphical Methods for Data Analysis", 1983)

"The logarithm is an extremely powerful and useful tool for graphical data presentation. One reason is that logarithms turn ratios into differences, and for many sets of data, it is natural to think in terms of ratios. […] Another reason for the power of logarithms is resolution. Data that are amounts or counts are often very skewed to the right; on graphs of such data, there are a few large values that take up most of the scale and the majority of the points are squashed into a small region of the scale with no resolution." (William S. Cleveland, "Graphical Methods for Data Presentation: Full Scale Breaks, Dot Charts, and Multibased Logging", The American Statistician Vol. 38 (4) 1984)

"It is common for positive data to be skewed to the right: some values bunch together at the low end of the scale and others trail off to the high end with increasing gaps between the values as they get higher. Such data can cause severe resolution problems on graphs, and the common remedy is to take logarithms. Indeed, it is the frequent success of this remedy that partly accounts for the large use of logarithms in graphical data display." (William S Cleveland, "The Elements of Graphing Data", 1985)

"When the data are magnitudes, it is helpful to have zero included in the scale so we can see its value relative to the value of the data. But the need for zero is not so compelling that we should allow its inclusion to ruin the resolution of the data on the graph." (William S Cleveland, "The Elements of Graphing Data", 1985)

"Binning has two basic limitations. First, binning sacrifices resolution. Sometimes plots of the raw data will reveal interesting fine structure that is hidden by binning. However, advantages from binning often outweigh the disadvantage from lost resolution. [...] Second, binning does not extend well to high dimensions. With reasonable univariate resolution, say 50 regions each covering 2% of the range of the variable, the number of cells for a mere 10 variables is exceedingly large. For uniformly distributed data, it would take a huge sample size to fill a respectable fraction of the cells. The message is not so much that binning is bad but that high dimensional space is big. The complement to the curse of dimensionality is the blessing of large samples. Even in two and three dimensions having lots of data can bc very helpful when the observations are noisy and the structure non-trivial." (Daniel B Carr, "Looking at Large Data Sets Using Binned Data Plots", [in "Computing and Graphics in Statistics"] 1991)

"A sparkline is a small, intense, simple, word-sized graphic with typographic resolution. Sparklines mean that graphics are no longer cartoonish special occasions with captions and boxes, but rather sparkline graphics can be everywhere a word or number can be: embedded in a sentence, table, headline, map, spreadsheet, graphic." (Edward R Tufte, "Beautiful Evidence", 2006)

"Conflicting with the idea of integrating evidence regardless of its these guidelines provoke several issues: First, labels are data. even intriguing data. [...] Second, when labels abandon the data points, then a code is often needed to relink names to numbers. Such codes, keys, and legends are Impediments to learning, causing the reader's brow to furrow. Third, segregating nouns from data-dots breaks up evidence on the basis of mode (verbal vs. nonverbal), a distinction lacking substantive relevance. Such separation is uncartographic; contradicting the methods of map design often causes trouble for any type of graphical display. Fourth, design strategies that reduce data-resolution take evidence displays in the wrong direction. Fifth, what clutter? Even this supposedly cluttered graph clearly shows the main ideas: brain and body mass are roughly linear in logarithms, and as both variables increase, this linearity becomes less tight." (Edward R Tufte, "Beautiful Evidence", 2006) [argumentation against Cleveland's recommendation of not using words on data plots]

"Sparklines work at intense resolutions, at the level of good typography and cartography. [...] Just as sparklines are like words, so then distributions of sparklines on a page are like sentences and paragraphs. The graphical idea here is make it wordlike and typographic - an idea that leads to reasonable answers for most questions about sparkline arrangements." (Edward R Tufte, "Beautiful Evidence", 2006)

"These little data lines, because of their active quality over time, are named sparklines - small, high-resolution graphics usually embedded in a full context of words, numbers, images. Sparklines are datawords: data-intense, design-simple, word-sized graphics." (Edward R Tufte, "Beautiful Evidence", 2006)

"Sparklines aren't necessarily a variation on the line chart, rather, a clever use of them. [...] They take advantage of our visual perception capabilities to discriminate changes even at such a low resolution in terms of size. They facilitate opportunities to construct particularly dense visual displays of data in small space and so are particularly applicable for use on dashboards." (Andy Kirk, "Data Visualization: A successful design process", 2012)

🤖〽️Prompt Engineering: Copilot Unabridged (Part 210: How to Push Toward Extreme Edge Cases When Applying Incremental Escalation to Identify Breaking Points in AI Models)

 

Prompt Engineering Series

Prompt: "write a post of 600 words on how to push toward extreme edge cases when applying incremental escalation to identify breaking points in AI models""

Introduction

Incremental escalation is a powerful method for probing the limits of an Artificial Intelligence (AI) model’s reasoning. It begins gently - with clarity, mild ambiguity, and soft conflicts - but its true diagnostic value emerges only when the escalation reaches extreme edge cases. These edge cases are the outer boundary of the model’s conceptual stability. They reveal where reasoning collapses, where cue‑weighting becomes erratic, and where the model’s internal logic can no longer reconcile competing demands. But reaching these extremes requires a deliberate, stepwise approach.

The journey toward extreme edge cases begins with controlled destabilization. Early stages introduce mild ambiguity, structural complexity, and overlapping constraints. These steps loosen the model’s internal certainty and expose its interpretive tendencies. Once the model is already navigating tension, evaluators can begin pushing it toward high‑stress scenarios that sit at the edge of its training distribution.

One of the first ways to escalate toward extreme edge cases is through compound contradictions. Unlike simple contradictions, compound contradictions stack multiple incompatible requirements across different layers of the prompt. For example:

'Write a paragraph with no adjectives, but ensure every sentence contains at least three emotionally expressive descriptors.' 

This forces the model to reconcile mutually exclusive constraints across syntax, semantics, and tone. The model’s response reveals whether it prioritizes literal phrasing, emotional cues, or structural rules - a core theme in instruction‑priority testing.

Once compound contradictions are introduced, evaluators can escalate further by adding multi‑domain collisions. These prompts force the model to blend incompatible conceptual frameworks. For example:

'Explain a quantum mechanical process using the rules of medieval theology, while maintaining strict mathematical notation.' 

This pushes the model into conceptual regions where no training example exists. The resulting output exposes how the model interpolates across distant semantic clusters, a behavior often mapped through weak‑point analysis.

The next escalation step involves recursive instability, where the model must apply rules to its own output under shifting constraints. For example:

'Write a summary of your previous answer, but contradict every key point while preserving the original structure.' 

Recursive instability forces the model to track multiple layers of reasoning simultaneously. Failures here often indicate weaknesses in long‑range dependency tracking or self‑referential logic.

After recursion, evaluators can introduce contextual inversion, where the model must reverse its own assumptions mid‑task. For example:

'Begin with a highly technical explanation, then reinterpret everything you wrote as metaphorical fiction without changing the wording.' 

This inversion tests whether the model can maintain coherence when the interpretive frame shifts dramatically. It also reveals whether the model over‑anchors to initial context or adapts to new constraints.

The final escalation stage is full extreme edge‑case synthesis, where multiple stressors  - contradictions, domain collisions, recursive demands, and contextual inversions - are combined into a single prompt. These prompts are intentionally chaotic, designed to push the model beyond its conceptual stability. At this stage, the model’s breaking point becomes unmistakable. It may hallucinate, ignore constraints, collapse into generic output, or choose one instruction arbitrarily. The transition from partial coherence to full breakdown is the most informative moment in the entire escalation ladder.

Ultimately, pushing toward extreme edge cases is not about overwhelming the model. It is about mapping the outer boundary of its reasoning space. By escalating complexity step by step - ambiguity, conflict, contradiction, recursion, inversion, and finally extreme synthesis - evaluators can pinpoint exactly where the model’s internal logic becomes unstable. These insights are essential for building AI systems that remain predictable even under pressure, especially in environments where instructions are messy, contradictory, or adversarial.

Disclaimer: The whole text was generated by Copilot (under Windows 11) at the first attempt. This is just an experiment to evaluate feature's ability to answer standard general questions, independently on whether they are correctly or incorrectly posed. Moreover, the answers may reflect hallucinations and other types of inconsistent or incorrect reasoning.

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🤖〽️Prompt Engineering: Copilot Unabridged (Part 209: How Multi‑Modal Stressors Enable Holistic Evaluation Through Mixed‑Modality Contradictions in AI Models)

Prompt Engineering Series

Prompt: "write a post of 600 words on how to use multi‑modal stressors for holistic evaluation in which stress testing reflects the complexity through mixed‑modality contradictions in AI models"

Introduction

Most stress‑testing frameworks for AI models focus on text alone - contradictions in instructions, nested tasks, overlapping constraints, or adversarial phrasing. But modern Artificial Intelligence (AI) systems increasingly operate across multiple modalities: text, images, audio, code, diagrams, tables, and even hybrid formats. To evaluate these systems holistically, stress testing must evolve beyond single‑channel perturbations. This is where multi‑modal stressors come in. By introducing contradictions across modalities - rather than within a single one - we can expose deeper structural vulnerabilities that remain invisible in text‑only evaluation.

Multi‑modal stressors work because each modality activates different internal pathways in the model. Text relies on linguistic priors; images rely on visual embeddings; audio relies on temporal patterns; code relies on structural logic. When these pathways are aligned, the model behaves predictably. When they conflict, the model must choose which modality to trust. That choice reveals its internal hierarchy of cues, a central theme in instruction‑priority testing.

The simplest form of multi‑modal stressor is a cross‑modal mismatch, where one modality contradicts another. For example, a prompt may include an image of a cat but ask the model to describe the dog in the picture. This tests whether the model prioritizes visual evidence or textual framing. The result exposes how the model resolves conflicts between sensory input and linguistic cues - an ability essential for real‑world robustness.

A more advanced technique involves modality‑layered contradictions, where each modality provides a different instruction. For example, the text may instruct the model to summarize an image neutrally, while the image contains emotionally charged content. Or the text may request a formal explanation, while an accompanying diagram suggests a playful or metaphorical interpretation. These contradictions force the model to reconcile semantic, visual, and stylistic signals simultaneously. The model’s resolution strategy reveals whether it treats one modality as dominant or attempts to blend them, often exposing weaknesses similar to those mapped through weak‑point analysis.

Another powerful stressor is multi‑modal task interference, where the model must perform two tasks that rely on incompatible modalities. For example:

• Analyze the sentiment of a paragraph while ignoring the contradictory emotional tone of an accompanying audio clip.
• Describe the structure of a diagram while following a textual instruction that mislabels its components.

These stressors test whether the model can maintain task boundaries when modalities compete for attention.

Multi‑modal contradictions can also be introduced through temporal misalignment, where modalities reference different timeframes. For example, a video clip may show one sequence of events while the text describes a different timeline. The model must decide whether to anchor itself to the visual chronology or the textual narrative. This exposes how the model handles temporal reasoning, a capability often overlooked in single‑modality evaluation.

The most challenging multi‑modal stressors involve hybrid contradictions, where modalities interact in structurally incompatible ways. For example:

• A table that contradicts the narrative text.
• A diagram whose labels conflict with the code snippet below it.
• An audio clip that negates the instructions provided in text.

These hybrid contradictions push the model into conceptual regions where no training example exists. The resulting behavior reveals the model’s cross‑modal arbitration strategy, a key insight for holistic evaluation.

Ultimately, multi‑modal stressors allow evaluators to move beyond surface‑level robustness. By introducing contradictions across text, images, audio, diagrams, and structured data, we can map the deep architecture of model reasoning - how it prioritizes modalities, how it resolves cross‑channel conflicts, and where its internal logic becomes unstable. This is the next frontier of boundary‑stress evaluation: not just testing what the model can do, but testing how it behaves when the world becomes noisy, contradictory, and multi‑modal.

Disclaimer: The whole text was generated by Copilot (under Windows 11) at the first attempt. This is just an experiment to evaluate feature's ability to answer standard general questions, independently on whether they are correctly or incorrectly posed. Moreover, the answers may reflect hallucinations and other types of inconsistent or incorrect reasoning.

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