🤖〽️Prompt Engineering: Copilot Unabridged (Part 195: How an AI Model Interprets Conflicting Signals)

Prompt Engineering Series

Prompt: "write a post of 600 words on how the AI model interprets conflicting signals"

Introduction

When people interact with an Artificial Intelligence (AI) system, they often assume the model simply follows the most recent instruction. But modern AI models operate in a far more complex landscape. They constantly juggle multiple layers of guidance - user prompts, system rules, safety constraints, conversational context, and statistical patterns learned during training. When these signals conflict, the model must decide which one to prioritize. Understanding how this decision‑making process works is essential for anyone studying alignment, robustness, or the subtle ways AI behavior can drift from user intent.

At the core of this process is the model’s internal hierarchy of cues. Some cues are explicit, such as a direct instruction from the user. Others are implicit, such as safety rules or stylistic norms embedded during training. Still others are emergent, arising from correlations the model absorbed from massive datasets. When these cues clash, the model resolves the conflict by weighing them according to patterns it learned during training. This is why researchers often turn to instruction‑priority testing and weak‑point mapping to reveal which signals the model over‑trusts.

One of the most important factors in conflict resolution is cue strength. Some signals are inherently stronger because they appear more frequently or more consistently in the model’s training data. For example, a model may have learned that safety‑related instructions are non‑negotiable, so even a strongly worded user request cannot override them. Conversely, a model might over‑weight authoritative phrasing - such as 'system override' or 'developer command' - even when the user has no actual authority. This is why researchers test how models respond to hidden cues that mimic system‑level instructions.

Another key factor is recency. AI models often give more weight to the most recent instruction, especially in conversational settings. But recency is not absolute. If a new instruction contradicts a deeply embedded rule - such as a safety constraint - the model will ignore the new instruction and follow the stronger internal rule. This interplay between recency and rule‑strength is one of the clearest windows into the model’s internal priorities.

Context also plays a major role. AI models interpret instructions not in isolation but as part of a broader conversational or task‑based narrative. If a user gives two conflicting instructions—one early in the conversation and one later - the model may choose the one that better fits the inferred goal of the interaction. This is why subtle changes in framing can dramatically shift the model’s behavior. A request framed as a clarification may override a previous instruction, while a request framed as a contradiction may be ignored in favor of the earlier, more coherent directive.

A particularly revealing scenario occurs when the model encounters semantic conflict—cases where the literal meaning of a request clashes with the implied intent. For example, a user might ask the model to 'explain why this harmful action is a good idea' while also stating that they want a safe and responsible answer. The model must decide whether to follow the literal instruction or the implied ethical constraint. Well‑aligned models prioritize safety, but weakly aligned models may follow the literal instruction if the harmful cue is stronger or more familiar.

Ultimately, when an AI model interprets conflicting signals, it is not choosing between right and wrong - it is choosing between competing patterns. These patterns reflect the statistical structure of its training data, the rules imposed during alignment, and the cues present in the user’s prompt. By studying how models resolve these conflicts, researchers gain insight into the hidden architecture of AI decision‑making. This understanding is essential for building systems that behave predictably, safely, and in alignment with human intent.

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

🤖〽️Prompt Engineering: Copilot Unabridged (Part 194: How Weak‑Point Mapping Reveals the Hidden Cues AI Models Over‑Trust)

Prompt Engineering Series

Prompt: "write a post of 600 words on how weak‑point mapping in AI models allows to identify which types of hidden cues the model over‑trusts"

Introduction

As Artifacts Intelligence (AI) systems grow more capable, one of the most important challenges is understanding why they behave the way they do. Modern models don’t simply follow instructions; they respond to a complex mix of signals - some explicit, some subtle, and some completely unintended. This is where weak‑point mapping becomes a powerful diagnostic tool. It allows researchers to uncover which hidden cues an AI model over‑trusts, revealing blind spots that would otherwise remain invisible.

Weak‑point mapping is the process of systematically probing an AI model with carefully designed prompts to identify the specific patterns, phrases, or contextual signals that disproportionately influence its behavior. These weak points are not necessarily flaws in the traditional sense. Instead, they are over‑weighted cues - signals the model treats as more important than they should be. By mapping these cues, we gain insight into the model’s internal priorities and vulnerabilities.

One of the most striking aspects of weak‑point mapping is how it exposes latent biases in the model’s decision‑making hierarchy. AI systems learn from vast datasets, absorbing statistical patterns that may not align with human expectations. For example, a model might over‑trust authoritative‑sounding language, even when the content is incorrect. Or it might respond more strongly to emotionally charged phrasing, interpreting it as a cue to shift tone or urgency. These tendencies are rarely visible in everyday use, but weak‑point mapping brings them to the surface.

Another important insight comes from observing how models react to structural cues - the formatting, ordering, or framing of information. A model might treat bullet points as more reliable than paragraphs, or prioritize the last instruction in a sequence even when earlier instructions were more important. Weak‑point mapping helps identify these structural preferences by varying the format while keeping the content constant. When the model’s behavior changes dramatically, it signals a hidden dependency.

Weak‑point mapping also reveals how models handle conflicting signals. By presenting prompts that contain both strong and weak cues, researchers can see which ones the model prioritizes. For instance, a model might claim to follow safety rules, but a cleverly phrased request could override those rules if it triggers a cue the model over‑weights - such as a request framed as a system instruction. Identifying these override points is essential for building safer, more reliable AI systems.

One of the most valuable outcomes of weak‑point mapping is its ability to uncover semantic shortcuts - cases where the model relies on superficial correlations rather than deeper reasoning. For example, a model might associate certain keywords with specific actions, even when the surrounding context contradicts that association. By systematically altering the context while keeping the keywords, weak‑point mapping exposes these shortcuts and helps developers correct them.

The technique also highlights how models respond to social cues, such as politeness, urgency, or emotional tone. While these cues can be helpful in making AI interactions feel natural, over‑trusting them can lead to inconsistent or unsafe behavior. Weak‑point mapping helps determine whether the model is overly sensitive to these cues, ensuring that emotional framing does not override more important constraints.

Ultimately, weak‑point mapping is not just a debugging tool - it is a window into the model’s internal logic. By identifying the hidden cues an AI system over‑trusts, researchers can strengthen alignment, improve robustness, and reduce the risk of unintended behavior. In a world where AI systems are increasingly embedded in critical workflows, understanding these weak points is essential. Weak‑point mapping gives us the clarity we need to build models that are not only powerful, but also predictable, trustworthy, and aligned with human intent.

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

🤖〽️Prompt Engineering: Copilot Unabridged (Part 181: How the Early Layers in Deep Learning Models Can Detect Simple Features)

Prompt Engineering Series

Prompt: "write a post of 600 words on how the early layers in deep learning models can detect simple features in the context of AI"

Introduction

One of the most elegant aspects of deep learning is the way its internal structure mirrors the layered complexity of the world. At the foundation of this architecture lie the early layers - components that specialize in detecting simple, low‑level features. These layers may seem modest compared to the deeper, more abstract parts of the network, but they play a crucial role. They act as the sensory foundation upon which all higher‑level understanding is built. Understanding how these early layers work reveals not only the mechanics of deep learning but also why these models are so effective at capturing patterns that humans often overlook.

The first key insight is that early layers operate as feature detectors, identifying the most basic building blocks of a signal. In image models, these features include edges, corners, textures, and simple color gradients. In language models, they correspond to character patterns, subword fragments, punctuation structures, and basic syntactic cues. These features are not meaningful on their own, but they form the raw material from which meaning emerges. Just as the human visual system begins by detecting edges before recognizing objects, deep learning models begin by identifying simple patterns before constructing complex representations.

A second important aspect is how these early layers learn. They are not programmed to detect specific features. Instead, they discover them automatically through training. When a model is exposed to large amounts of data, the early layers adjust their parameters to capture the most statistically useful patterns. In images, edges are among the most informative features because they define boundaries and shapes. In text, character sequences and word fragments are essential for understanding structure. The model learns these features because they consistently help reduce prediction error. This self‑organization is one of the reasons deep learning is so powerful: the model discovers the right features without human intervention.

Another strength of early layers is their universality. The simple features they detect tend to be useful across many tasks. An edge detector trained on one dataset will often work well on another. This is why transfer learning is so effective. When a model trained on millions of images is fine‑tuned for a new task, the early layers usually remain unchanged. They provide a stable foundation of general-purpose features, while the deeper layers adapt to the specifics of the new problem. This mirrors biological systems, where early sensory processing is largely universal, and higher-level interpretation is specialized.

Early layers also excel at capturing local patterns, which is essential for building more complex representations. In convolutional neural networks, for example, early filters scan small regions of an image, detecting local structures. These local features are then combined by deeper layers to form larger, more abstract patterns - textures, shapes, and eventually full objects. In language models, early layers capture local dependencies between characters or words, which deeper layers then assemble into phrases, sentences, and semantic relationships. This hierarchical composition is what allows deep learning models to scale from simple signals to sophisticated understanding.

A further advantage is robustness. Simple features tend to be stable across variations in data. An edge remains an edge even when lighting changes. A character sequence remains the same even when the surrounding context shifts. By anchoring their understanding in these stable features, deep learning models become more resilient to noise and variation. This stability is essential for generalization - the ability to perform well on new, unseen data.

Ultimately, the early layers of deep learning models are not just technical components; they are the foundation of the model’s perceptual world. They transform raw data into structured signals, enabling deeper layers to build meaning, context, and abstraction. When humans and AI collaborate, understanding these foundations helps us appreciate how machines perceive the world - and how their perception can complement our own.

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

🤖〽️Prompt Engineering: Copilot Unabridged (Part 179: How AI Can Detect Interactions Between Multiple Variables in Complex Patterns)

Prompt Engineering Series

Prompt: "write a post of 600 words on how AI can detect interactions between multiple variables in complex patterns"

Introduction

One of the most powerful capabilities of modern Artificial Intelligence (AI) is its ability to detect interactions between multiple variables - interactions that are subtle, nonlinear, and often invisible to human intuition. Humans are good at spotting simple relationships: when one variable increases, another tends to rise or fall. But real‑world systems rarely behave so cleanly. Instead, outcomes often emerge from the interplay of many factors acting together, sometimes reinforcing each other, sometimes canceling each other out, and sometimes producing effects that only appear under very specific conditions. AI excels in precisely this territory. Its architecture allows it to uncover complex, multi‑variable interactions that would otherwise remain hidden.

The first reason AI can detect these interactions is its ability to analyze high‑dimensional data without cognitive limits. Humans can reason about two or three variables at a time, but beyond that, our intuition collapses. AI systems, especially deep learning models, can process hundreds or thousands of variables simultaneously. They can map how changes in one variable influence another, not in isolation, but in combination with many others. This is essential in fields like genomics, where the effect of a single gene may depend on the presence of dozens of others, or in economics, where market behavior emerges from the interplay of countless signals.

A second advantage lies in AI’s capacity to model nonlinear relationships. Interactions between variables are rarely linear. The effect of one variable may depend on the level of another, creating curved, threshold‑based, or conditional relationships. Traditional statistical methods often struggle with these nonlinearities unless explicitly instructed to look for them. AI models, by contrast, naturally capture nonlinear interactions through their layered structure. Neural networks, for example, learn complex transformations at each layer, allowing them to detect relationships that bend, twist, or reverse depending on context. This flexibility enables AI to uncover interactions that humans would never think to test.

Another key factor is AI’s ability to detect higher‑order interactions - relationships that involve not just pairs of variables, but combinations of three, four, or more. These higher‑order interactions are common in complex systems. For example, a medical treatment might be effective only when a patient has a specific genetic profile and a particular environmental exposure and a certain lifestyle pattern. Humans rarely detect such interactions because they require examining an enormous number of possible combinations. AI, however, can explore these combinations efficiently, identifying the rare configurations that produce meaningful effects.

AI also excels at local pattern detection, which is crucial for identifying interactions that appear only under specific conditions. Humans tend to look for global rules that apply everywhere. AI can break a dataset into many small regions and learn different relationships in each one. A variable might matter only when another variable crosses a certain threshold, or only within a particular subgroup. Models like decision trees, random forests, and gradient boosting machines are particularly good at uncovering these conditional interactions. They reveal patterns that are invisible when looking at the dataset as a whole.

A further strength comes from AI’s ability to integrate heterogeneous data sources. Interactions often span different types of information - numerical measurements, text, images, signals, or categorical variables. Humans struggle to combine such diverse inputs. AI systems, however, can fuse them into a unified representation, allowing interactions to emerge across modalities. This is especially valuable in fields like healthcare, where symptoms, lab results, imaging data, and patient history interact in complex ways.

Finally, AI’s ability to detect multi‑variable interactions is amplified by continuous learning. As new data arrives, AI systems can update their internal models, refining their understanding of how variables interact. This dynamic adaptation allows them to track evolving systems where interactions shift over time.

AI’s ability to detect interactions between multiple variables is not a replacement for human insight. Instead, it expands our analytical reach, revealing structures that lie beyond the limits of intuition. When humans and AI collaborate - combining human judgment with machine‑level pattern detection - we gain a deeper, more accurate understanding of the complex systems that shape our world.

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 

🤖〽️Prompt Engineering: Copilot Unabridged (Part 176: How AI Can Detect Rare Patterns That Humans Might Overlook)

Prompt Engineering Series

Prompt: "write a post of 600 words on how AI can detect rare patterns that humans might overlook"

Introduction

One of the most transformative capabilities of modern Artificial Intelligence (AI) is its ability to detect patterns that are too subtle, too rare, or too complex for humans to notice. While humans excel at intuitive reasoning, contextual understanding, and creative interpretation, we are limited by cognitive bandwidth, memory constraints, and perceptual biases. AI, by contrast, thrives in environments where scale, precision, and exhaustive analysis are essential. Understanding how AI uncovers rare patterns reveals not only its technical power but also its potential to reshape scientific discovery, business strategy, and our understanding of complex systems.

The first reason AI can detect rare patterns is its ability to process massive datasets without fatigue or bias. Humans can analyze only a small number of variables at once, and our attention is easily overwhelmed by noise. AI systems, especially those built on deep learning or advanced statistical models, can examine millions of data points simultaneously. They can identify correlations that occur only once in a million cases - signals so faint that they disappear into the background for human observers. This ability is particularly valuable in fields like fraud detection, where unusual behavior is intentionally hidden, or in medical diagnostics, where early signs of disease may be nearly invisible.

A second advantage lies in AI’s capacity to operate beyond human intuition. Humans rely heavily on heuristics - mental shortcuts that help us navigate the world efficiently but can blind us to unexpected relationships. AI does not share these cognitive shortcuts. It does not assume which variables matter or which patterns are plausible. Instead, it evaluates all possibilities, including those that defy conventional wisdom. This openness allows AI to uncover patterns that humans would never think to look for. In scientific research, for example, AI has identified previously unknown relationships between genetic markers and diseases, not because it 'understood' biology, but because it was not constrained by human assumptions about what should or should not be related.

Another key factor is AI’s ability to detect patterns across multiple scales simultaneously. Humans tend to focus on either the big picture or the fine details, but rarely both at once. AI can analyze micro‑patterns—minute fluctuations, rare anomalies, subtle deviations - while also tracking macro‑patterns that unfold across long time horizons. This multi‑scale analysis is essential in fields like climate modeling, financial forecasting, and cybersecurity. A human analyst might notice a sudden spike in activity, but an AI system can detect the faint precursors that occurred months earlier, revealing a pattern that only becomes meaningful when viewed across scales.

AI also excels at identifying nonlinear relationships, which are notoriously difficult for humans to detect. Many real‑world systems - ecosystems, markets, neural networks - do not behave in simple, linear ways. Small changes can produce disproportionate effects, and interactions between variables can create emergent behavior. AI models, especially neural networks, are designed to capture these nonlinearities. They can map complex relationships that would be invisible to traditional statistical methods or human intuition. This capability allows AI to detect rare patterns that emerge only when multiple variables interact in specific, unusual ways.

Finally, AI’s ability to detect rare patterns is amplified by continuous learning. Humans learn slowly and forget quickly. AI systems can update their models in real time, incorporating new data as it arrives. This allows them to detect emerging patterns before they become obvious. In cybersecurity, for example, AI can identify a new type of attack based on a handful of early signals. In healthcare, AI can detect subtle shifts in patient data that indicate a rare complication long before symptoms appear.

The ability of AI to detect rare patterns is not a replacement for human judgment. Instead, it is a complement - a way to extend our perceptual reach and reveal structures hidden beneath the surface of complexity. When humans and AI work together, combining intuition with computation, we gain a deeper, more nuanced understanding of the world.

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

🪙Business Intelligence: Signals (Just the Quotes)

"Data are generally collected as a basis for action. However, unless potential signals are separated from probable noise, the actions taken may be totally inconsistent with the data. Thus, the proper use of data requires that you have simple and effective methods of analysis which will properly separate potential signals from probable noise." (Donald J Wheeler, "Understanding Variation: The Key to Managing Chaos" 2nd Ed., 2000)

"No matter what the data, and no matter how the values are arranged and presented, you must always use some method of analysis to come up with an interpretation of the data.

While every data set contains noise, some data sets may contain signals. Therefore, before you can detect a signal within any given data set, you must first filter out the noise." (Donald J Wheeler," Understanding Variation: The Key to Managing Chaos" 2nd Ed., 2000)

"Data analysis is not generally thought of as being simple or easy, but it can be. The first step is to understand that the purpose of data analysis is to separate any signals that may be contained within the data from the noise in the data. Once you have filtered out the noise, anything left over will be your potential signals. The rest is just details." (Donald J Wheeler," Myths About Data Analysis", International Lean & Six Sigma Conference, 2012)

"A complete data analysis will involve the following steps: (i) Finding a good model to fit the signal based on the data. (ii) Finding a good model to fit the noise, based on the residuals from the model. (iii) Adjusting variances, test statistics, confidence intervals, and predictions, based on the model for the noise." (DeWayne R Derryberry, "Basic data analysis for time series with R", 2014

"Data catalogs that focus on search bring techniques and methods from information retrieval and web search engines to the data domain within enterprises. Some of those catalogs, such as Facebook Nemo, use advanced machine learning and NLP tools to provide personalized search of data within an enterprise. The search can also use data-specific signals such as usage, popularity, and freshness to rank data assets by usefulness." (Fadi Maali & Jason Lim, "Implementing a Modern Data Catalog to Power Data Intelligence: Make Trustworthy Data Central to Your Organization", 2022)

"In a self-service environment with multiple publishers, it’s impossible to completely avoid data redundancy and overlapping. Multiple data assets with similar content, but possibly with varying quality, will exist. A data catalog can guide users to trusted data that comes from a reliable source and is frequently used. A data catalog can also use various explicit and implicit quality signals when ranking datasets for recommendation. Some of those signals are discussed next. Furthermore, a data catalog can recommend domain experts who are automatically identified based on actual data usage." (Fadi Maali & Jason Lim, "Implementing a Modern Data Catalog to Power Data Intelligence: Make Trustworthy Data Central to Your Organization", 2022)

"Many argue that model drift is best monitored by monitoring the data drift in incoming data and the drift in the generated features. As and when the ground truth is available, it is joined by some primary key criteria with the inference data in a Delta table. Again, the update and merge operation support in Delta makes this a breeze. Now the actual and predicted values of the inference data are computed to see how well the model is doing in terms of the quality of insight generation. The feature engineering pipeline is completely in-house and is easier to monitor for drift. The model interpretability may indicate that some columns contributing to the predictive power are incorrect, and it may be necessary to add or remove features. In such cases, a threshold of tolerance is violated, which signals a need for model retraining." (Anindita Mahapatra, "Simplifying Data Engineering and Analytics with Delta", 2022)

"Establishing a comprehensive observability architecture necessitates a systematic approach that spans the entirety of the data pipeline, from initial telemetry collection to actionable insights accessible by diverse stakeholders. The core objective is to unify distributed data sources - metrics, logs, traces, and quality signals - into a coherent framework that enables rapid diagnosis, continuous monitoring, and strategic decision-making." (William Smith, "Soda Core for Modern Data Quality and Observability: The Complete Guide for Developers and Engineers", 2025)

"A defining attribute of the domain-oriented ownership principle is the focus on context preservation in Data Management. This aspect accentuates the importance of keeping data within its native domain environment, allowing it to retain its original context, value, and meaning. When data is managed close to its source, its contextual richness is preserved. This sharply contrasts centralized models, where data is often abstracted from its source, leading to potential loss of signal or context. When data remains within its generating domain, it retains the nuances and specificities unique to its activities, challenges, and goals." (Pradeep Menon, "Data Mesh Principles, patterns, architecture, and strategies for data-driven decision making", 2024)

 More on Signals in Data Science, Graphical Representation, Systems Engineering

🕸Systems Engineering: Signals (Just the Quotes)

"The theory of communication is partly concerned with the measurement of information content of signals, as their essential property in the establishment of communication links. But the information content of signals is not to be regarded as a commodity; it is more a property or potential of the signals, and as a concept it is closely related to the idea of selection, or discrimination. This mathematical theory first arose in telegraphy and telephony, being developed for the purpose of measuring the information content of telecommunication signals. It concerned only the signals themselves as transmitted along wires, or broadcast through the aether, and is quite abstracted from all questions of 'meaning'. Nor does it concern the importance, the value, or truth to any particular person. As a theory, it lies at the syntactic level of sign theory and is abstracted from the semantic and pragmatic levels. We shall argue [...] that, though the theory does not directly involve biological elements, it is nevertheless quite basic to the study of human communication - basic but insufficient." (Colin Cherry, "On Human Communication", 1957)) 

"The term closed loop-learning process refers to the idea that one learns by determining what s desired and comparing what is actually taking place as measured at the process and feedback for comparison. The difference between what is desired and what is taking place provides an error indication which is used to develop a signal to the process being controlled." (Harold Chestnut, 1984) 

"In a real experiment the noise present in a signal is usually considered to be the result of the interplay of a large number of degrees of freedom over which one has no control. This type of noise can be reduced by improving the experimental apparatus. But we have seen that another type of noise, which is not removable by any refinement of technique, can be present. This is what we have called the deterministic noise. Despite its intractability it provides us with a way to describe noisy signals by simple mathematical models, making possible a dynamical system approach to the problem of turbulence." (David Ruelle, "Chaotic Evolution and Strange Attractors: The statistical analysis of time series for deterministic nonlinear systems", 1989)

"The cybernetics phase of cognitive science produced an amazing array of concrete results, in addition to its long-term" (often underground) influence: the use of mathematical logic to understand the operation of the nervous system; the invention of information processing machines" (as digital computers), thus laying the basis for artificial intelligence; the establishment of the metadiscipline of system theory, which has had an imprint in many branches of science, such as engineering" (systems analysis, control theory), biology" (regulatory physiology, ecology), social sciences" (family therapy, structural anthropology, management, urban studies), and economics" (game theory); information theory as a statistical theory of signal and communication channels; the first examples of self-organizing systems. This list is impressive: we tend to consider many of these notions and tools an integrative part of our life […]" (Francisco Varela, "The Embodied Mind", 1991)

"An artificial neural network is an information-processing system that has certain performance characteristics in common with biological neural networks. Artificial neural networks have been developed as generalizations of mathematical models of human cognition or neural biology, based on the assumptions that: 1. Information processing occurs at many simple elements called neurons. 2. Signals are passed between neurons over connection links. 3. Each connection link has an associated weight, which, in a typical neural net, multiplies the signal transmitted. 4. Each neuron applies an activation function" (usually nonlinear) to its net input" (sum of weighted input signals) to determine its output signal." (Laurene Fausett, "Fundamentals of Neural Networks", 1994)

"I wage war on noise every day as part of my work as a scientist and engineer. We try to maximize signal-to-noise ratios. We try to filter noise out of measurements of sounds or images or anything else that conveys information from the world around us. We code the transmission of digital messages with extra 0s and 1s to defeat line noise and burst noise and any other form of interference. We design sophisticated algorithms to track noise and then cancel it in headphones or in a sonogram. Some of us even teach classes on how to defeat this nemesis of the digital age. Such action further conditions our anti-noise reflexes." (Bart Kosko, "Noise", 2006)

"Perturbations are often regarded as noise. What is the difference? Noise is usually understood from the point of the experimenter. If we measure it from the outside, noise is the fluctuation of the value we measure. However, from the point of view of the network, noise is a series ofperturbations changing its original status. Network perturbations can be called either signals or noise." (Péter Csermely, "Weak Links: The Universal Key to the Stabilityof Networks and Complex Systems", 2009)

"To understand, how noise is related to scale-freeness, we have to do some mathematics again. Noise is usually characterized by a mathematical trick. The seemingly random fluctuation of the signal is regarded as a sum of sinusoidal waves. The components of the million waves giving the final noise structure are characterized by their frequency. To describe noise, we plot the contribution (called spectral density) of the various waves we use to model the noise as a function of their frequency. This transformation is called a Fourier transformation [...]" (Péter Csermely, "Weak Links: The Universal Key to the Stabilityof Networks and Complex Systems", 2009)

"Complex systems seem to have this property, with large periods of apparent stasis marked by sudden and catastrophic failures. These processes may not literally be random, but they are so irreducibly complex" (right down to the last grain of sand) that it just won’t be possible to predict them beyond a certain level. […] And yet complex processes produce order and beauty when you zoom out and look at them from enough distance." (Nate Silver, "The Signal and the Noise: Why So Many Predictions Fail-but Some Don't", 2012)

"Information theory leads to the quantification of the information content of the source, as denoted by entropy, the characterization of the information-bearing capacity of the communication channel, as related to its noise characteristics, and consequently the establishment of the relationship between the information content of the source and the capacity of the channel. In short, information theory provides a quantitative measure of the information contained in message signals and help determine the capacity of a communication system to transfer this information from source to sink over a noisy channel in a reliable fashion." (Ali Grami, "Information Theory", 2016)

More on Signals in Business Intelligence, Data Science, Graphical Representation

📉Graphical Representation: Signals (Just the Quotes)

"If statistical graphics, although born just yesterday, extends its reach every day, it is because it replaces long tables of numbers and it allows one not only to embrace at glance the series of phenomena, but also to signal the correspondences or anomalies, to find the causes, to identify the laws." (Émile Cheysson, cca. 1877)

"When large numbers of curves and charts are used by a corporation, it will be found advantageous to have certain standard abbreviations and symbols on the face of the chart so that information may be given in condensed form as a signal to anyone reading the charts." (Willard C Brinton, "Graphic Methods for Presenting Facts", 1919)

"First, color has identity value. In other words, it serves to distinguish one thing from another. In many cases it does this much better and much quicker than black and white coding by different types of shading or lines. […] Second, color has suggestion value. […] Red is usually taken to mean a danger signal or an unfavorable condition. But since it is one of the most visible of colors it is excellent for adding emphasis, regardless of connotation. […] Green has no such unfavorable implication, and is usually appropriate for suggesting a green light" condition. […] Similarly, every color carries its own connotations; and although they seldom make a vital difference one way or the other, it seems logical to try to make them work for you rather than against you." (Kenneth W Haemer, "Color in Chart Presentation", The American Statistician Vol. 4" (2) , 1950)

"While all data contain noise, some data contain signals. Before you can detect a signal, you must filter out the noise." (Donald J Wheeler, "Understanding Variation: The Key to Managing Chaos" 2nd Ed., 2000)

"Noise is a signal we don't like. Noise has two parts. The first has to do with the head and the second with the heart. The first part is the scientific or objective part: Noise is a signal. [...] The second part of noise is the subjective part: It deals with values. It deals with how we draw the fuzzy line between good signals and bad signals. Noise signals are the bad signals. They are the unwanted signals that mask or corrupt our preferred signals. They not only interfere but they tend to interfere at random." (Bart Kosko, "Noise", 2006)

"One person’s signal is another person’s noise and vice versa. We call this relative role reversal the noise-signal duality." (Bart Kosko, "Noise", 2006)

"A signal is a useful message that resides in data. Data that isn’t useful is noise. […] When data is expressed visually, noise can exist not only as data that doesn’t inform but also as meaningless non-data elements of the display (e.g. irrelevant attributes, such as a third dimension of depth in bars, color variation that has no significance, and artificial light and shadow effects)." (Stephen Few, "Signal: Understanding What Matters in a World of Noise", 2015)

"Data contain descriptions. Some are true, some are not. Some are useful, most are not. Skillful use of data requires that we learn to pick out the pieces that are true and useful. [...] To find signals in data, we must learn to reduce the noise - not just the noise that resides in the data, but also the noise that resides in us. It is nearly impossible for noisy minds to perceive anything but noise in data." (Stephen Few, "Signal: Understanding What Matters in a World of Noise", 2015)

"Form simplification means simplifying relationships among the components of the whole, emphasizing the whole and reducing the relevance of individual components by standardizing and generalizing relationships. This results in an increased weight of useful information (signal) against useless information (noise)." (Jorge Camões, "Data at Work: Best practices for creating effective charts and information graphics in Microsoft Excel", 2016)

"Before you can even consider creating a data story, you must have a meaningful insight to share. One of the essential attributes of a data story is a central or main insight. Without a main point, your data story will lack purpose, direction, and cohesion. A central insight is the unifying theme" (telos appeal) that ties your various findings together and guides your audience to a focal point or climax for your data story. However, when you have an increasing amount of data at your disposal, insights can be elusive. The noise from irrelevant and peripheral data can interfere with your ability to pinpoint the important signals hidden within its core." (Brent Dykes, "Effective Data Storytelling: How to Drive Change with Data, Narrative and Visuals", 2019)

"In addition to managing how the data is visualized to reduce noise, you can also decrease the visual interference by minimizing the extraneous cognitive load. In these cases, the nonrelevant information and design elements surrounding the data can cause extraneous noise. Poor design or display decisions by the data storyteller can inadvertently interfere with the communication of the intended signal. This form of noise can occur at both a macro and micro level." (Brent Dykes, "Effective Data Storytelling: How to Drive Change with Data, Narrative and Visuals", 2019)

"An outlier is a data point that is far away from other observations in your data. It may be due to random variability in the data, measurement error, or an actual anomaly. Outliers are both an opportunity and a warning. They potentially give you something very interesting to talk about, or they may signal that something is wrong in the data." (Jonathan Schwabish, "Better Data Visualizations: A guide for scholars, researchers, and wonks", 2021)

More on Signals in Business Intelligence, Data Science, Systems Engineering