📦Data Migrations (DM): Approaches to Planning a Data Migration for an ERP Implementation

Data Migrations Series

Introduction

ERP implementations are one of the most complex projects to plan as they often imply changes/transformations at different levels (e.g. strategic, processes, data, cultural, technological), span over one or more years, involve many resources that need to be efficiently managed, and often come with important costs for the organization.

One way of handling complexity is to ignore the nonessential in planning by focusing on the important activities/phases, following to go deeper as the project progresses. Another way to handle complexity is to split it at manageable parts – identifying and grouping together components. For example, Data Migration (DM) and Data Quality (DQ) are managed as subprojects, with their own planning. The two strategies can be combined to increase the effect.

Planning a DM cannot be done without looking at the timelines of the ERP implementation and considering the various interfaces to the DQ, however in this post I will focus only on the first two.

The Context

In the context of an ERP implementation there are three main approaches to the planning of a DM – pushing the activities toward the end of the implementation, pushing most activities toward the beginning of the implementation, or splitting the various activities over the whole timeline of the ERP implementation. Borrowing a term from statistics, we can talk about a left-skewed plan, a right-skewed plan, respectively a uniform-distributed plan.

For exemplification I will use a set of Lego pieces grouped together in 3 rows and representing the main phases of an ERP implementation, DM, respectively DQ:

The Lego pieces are a good tool for representing the phases, even they can be mischievous because there’s often no clear delimitation between certain phases as they overlap or repeat over several iterations, and bricks’ length doesn’t necessarily represent the actual duration of the phases. In addition, the phases are oversimplified in order not to clutter the diagrams. The detailed phases will be considered in further posts. The color changes gradually as the activities get closer toward the end.

Left-Skewed Planning

One way to plan a DM is backwards from the Go-Live, the DM activities flowing continuously backwards (the DM bricks are arranged from the end over the implementation bricks) and thus accumulating toward the end of the ERP implementation. This approach is natural considering that the requirements stabilize in the second half of the implementation, the code freeze occurring toward the end. Stabilizing means that the most important code changes were performed, and only minor changes need to be performed, typically bug fixing, refactoring or last-minute changes.

The DM starts with a set of requirements in what concerns the business processes, the data and configuration. Each change to these requirements equate with overwork that need to be performed. Typically, this happens only at entity level, however there can be changes that have impact for the whole or important parts of the migration. Additionally, after each set of changes another dry-run needs to be performed in order test the changes. Therefore, to minimize the volume of rework a DM needs a stable environment – in other words a stabile data model, configuration and requirements.

Thus, the conceptualizing of the migration including the prototyping can start in the first half of the implementation or, for long-running projects, even in the second half of the implementation. Performing the DM without interruptions assures an optimal use and planning of the resources – the resources are continuously working on the project, they are focused toward the end.

On the other side, the accumulation of the activities toward the end can easily lead to problems in what concerns resources’ availability. This type of approach needs a good planning, otherwise the project runs into the risk of having the Go-Live delayed until the stability of the DM is assured, or of going Live with data that don’t have the expected quality. These risks can be alleviated by adding a puffer to DM’s timeline, or by considering one of the other two approaches.

This approach minimizes the various types of waste associated with software projects, and thus the costs associated with waste.

Right-Skewed Planning

To release the pressure existing toward the end of the project, some of the DM activities can be performed toward the beginning of the project – the conceptualization and prototyping, as well the data mapping. One can in theory build also an important part of the DM for the standard functionality, following to address the changes in data model, processes and configuration in subsequent iterations. This could involve a higher volume of rework and more dry-runs, however this depends on the complexity and number of the changes. If a small number of customizations are expected, then this approach may be the best approach. Even in the case of many customization this approach might be something to consider, however the DM costs increase with the number of customization made, and in certain contexts the increase can be exponential.

This approach pushes some of the costs toward the beginning of the implementation, and this can have positive as well negative aspects. For example, it is well-known that ERP implementations involve cost overruns. With this approach the DM costs are assured toward the beginning and one can better get a hold of the budget, at least in theory. As negative aspect could be considered the cases in which an ERP implementation is stopped toward the middle of the project, the incurred costs being thus higher. In the end the main cost-driver are the volume of customizations.

Breaking a DM in two can have several other negative aspects. The data cleaning needs to be broken eventually as well, most probably in the second phase more data enrichment activities need to be considered.

The resources that worked on the first phase might not be available for the second phase. An adequate knowledge transfer might be hard to make, so the second team might need good documentation or time to understand the solution. This can lead to other type of behavior, e.g. rewriting unnecessarily the code, the push for a redesign, and so on.

As the environment stabilizes much later, there is the risk that an important part of the migration need to be reworked/redesigned. In extreme cases might be needed to start from zero. The chances for this to happen are small, though such a case can occur. Probably some of the code, transformation can be reused, though this depends from case to case. Without knowing implementation’s details it’s difficult to estimate the chances for something like this to happen. Sometimes is enough to invalidate a premise considered in design phase. Usually the interplay between several new requirements lead to redesign.

Uniform-distributed Plan

To alleviate the risks from the first two approaches, some of the activities could be uniformly distributed over the whole duration of the ERP implementation. This approach works well when same resources from the vendor side are involved in activities from all the three layers, the nature of the tasks allowing them to work continuously in the project. For example, the consultants working on the DM concept are helping on the mapping of the attributes, as well on data cleansing. When the work on multiple activities isn’t possible then the vendor(s) more likely will have problems in assigning resources to the project. Either the same resources will be assigned for big parts from the projects, incurring thus higher costs, or the resources will be replaced by others, additional learning being involved. In either case the costs are higher.

One of the main dangers of this approach is that certain activities will expand taking the time available, incurring thus higher costs. When the Implementation time is much higher than DM’s duration, the distance between DM’s phases can increase dramatically, being almost impossible to manage resources adequately. Keeping the metaphor of the Lego pieces, it will be thus also more difficult to build a structure on which an edifice can be built. With proper planning and adequate use of resources and knowledge the empty spaces can be incorporated in the structure for project’s advantage.

Even if this approach attempts to even the DM effort over the whole duration of the ERP implementation, performing the activities too early, before requirements stabilized can have an adverse effect.

Personal Approach

Looking back at the projects I worked on, I think I used a hybrid between the 3 approaches. The DM was planed backwards from the Go Live, however the first draft of the DM concept and prototyping was performed at the beginning of the implementation. This assured that the technical solution was working. Being involved in the creation of the data mappings as well in data cleansing, the jumps between activities allowed me to smoothly switch between the various activities, however toward the end of the project this became a bottleneck, the activities being harder to synchronize, and the volume of work could be addressed at that time only with overtime.

With a few exceptions I worked mainly alone on the technical activities, being responsible for the data mappings, design, prototyping, implementation, testing, protocolling, and execution of the DM. I think that more resources would have removed some of the burden but made the planning more complicated and the synchronization even harder. Probably a team of 2-3 people that could cover these activities would provide the optimum balance between costs, effort and quality.

Conclusion

I suppose there is no best solution that will work for all. The three approaches are more an attempt to highlight some of the extreme usages of planning. In an ERP implementation there are so many factors, so many chances for a decision to be an opportunity or a threat. My advice – ponder the various aspects/constraints, choose an approach, and adjust it as the project advances.

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💫ERP Systems: Dynamics AX 2009 (Part I: Deleting Obsolete Companies)

Introduction   

    During implementations, migrations and other projects are created in Dynamics AX temporary companies (aka legal entities, data areas) that aren’t needed anymore once they fulfilled their purpose. Excepting the fact that obsolete companies occupy space in the data center, under certain circumstances they can lead to performance problems. The logical thing to do would be to delete the obsolete companies as long there’s no further demand from the business.    

   In what follows we will look at several methods for deleting obsolete companies. The scripts were tested in Dynamics AX 2009, and more likely they’ll work in coming versions as long the data model behind was kept.

Warning:
    Please note that the scripts are provided “AS IS” only to exemplify a technique and they come without any warranty! Before attempting any of the methods described here, review the comments from “Further Considerations” section!

Method 1: Using DynamcsAX Built-In Functionality   

   Dynamics AX 2009 provides built-in functionality for deleting a company, however when the volume of data in the system goes above a certain limit the functionality starts to perform poorly, even when run directly on an AOS. (It is recommended to run long-running administration jobs directly on the AOS rather than clients.)    For example, it was attempted to use this method to delete several companies in Dynamics AX Test environment. By the first company the deletion job needed a few hours, while by the second company the job hasn’t finished after two days, being thus forced to stop it. After two further failed attempts it came the time to look for another solution.

Warning:
     It seems that this solution can lead to orphaned data (see [1]). So, even if you are using this method, you might need to consider one of the following methods as well.

Method 2: Using sp_MSforEachTable   

  In almost all tables in AX the company is stored in a DataAreaId attribute. Over this attribute the records belonging to a company are logically partitioned. This allows writing a script via the undocumented sp_MSforEachTable stored procedure:

--delete the data for one data area
sp_MSforEachTable @command1 = 'DELETE FROM ? WHERE DataAreaId = ''m01'''

An error with be thrown for the tables that don’t contain the DataAreaId attribute:
Msg 207, Level 16, State 1, Line 1

Invalid column name 'DataAreaId'.The script can be extended to delete in the same step two or more companies:

--delete the data for multiple data areas
 sp_MSforEachTable @command1 = 'DELETE FROM ? WHERE DataAreaId IN (''m01'', ''m02'')'

     During the first test the script needed half of hour to run, however a few tables  in which the company is stored in other attributes remained untouched. One can either search for such tables manually, via a script, or run the built-in AX functionality. We opted for running the built-in functionality, which managed to delete the remaining data relatively fast.

Warning:
Microsoft doesn’t support this method and can be used when the volume of obsolete data is relatively small!    What does it mean relatively small? The most important limitation of this method is the transaction log, considering that the deleted data are logged. One can either change log’s size to accommodate the volume of data to be deleted or run the deletion only for a subset of the tables. (Changing the recovery model to “simple” or “bulk-logged” won’t make a difference.)

   The second important limitation is the available memory, once the available memory is reached SQL Server having to paginate the data, fact that could lead to further disk space consumed.    Other limitations have more with the performance to do, e.g. each deletion is reflected also in the indexes. One might consider for example dropping the indexes before deletion and recreating them afterwards.

Method 3: Using a Cursor    

  Instead of using the undocumented sp_MSforEachTable stored procedure, the loop can be performed via a cursor (see [1]). This method is advantageous when the deletion needs to be performed only for a subset of tables one could use a cursor. The deletion can be grouped together with other activities and run together.

Method 4: Using „Shadow“ Tables    

   When the volume of data available is huge, and the volume of data that remain in the table is small compared with the overall data, it might be useful to consider using “shadow” tables. One can take advantage of the fact that a truncate command performs incomparable better than a delete command.  To use a truncate on a table, the records that need to be kept could be saved temporarily to a copy (aka “shadow”) of the table, the truncate then applied, and the copied records could be moved back. The following scripts exemplify the logic needed to delete the records from InventDim (inventory dimensions) table:

-- (optional) prove the number of records
SELECT count(*) 
FROM dbo.InventDim 
WHERE DataAreaId = 'm01'

-- create the “shadow” table
CREATE TABLE [dbo].[INVENTDIM_Dump](
[INVENTDIMID] [nvarchar](30) NOT NULL,
[INVENTBATCHID] [nvarchar](21) NOT NULL,
[WMSLOCATIONID] [nvarchar](12) NOT NULL,
[INVENTSERIALID] [nvarchar](21) NOT NULL,
[INVENTLOCATIONID] [nvarchar](10) NOT NULL,
[CONFIGID] [nvarchar](10) NOT NULL,
[INVENTSIZEID] [nvarchar](10) NOT NULL,
[INVENTCOLORID] [nvarchar](10) NOT NULL,
[INVENTSITEID] [nvarchar](10) NOT NULL,
[DATAAREAID] [nvarchar](4) NOT NULL,
[RECVERSION] [int] NOT NULL,
[RECID] [bigint] NOT NULL,
[WMSPALLETID] [nvarchar](18) NOT NULL,
[INVENTSTYLEID] [nvarchar](10) NOT NULL
) ON [PRIMARY]

-- copy the data into the “shadow” table
INSERT INTO [dbo].[InventDim_Dump] WITH (TABLOCK)
SELECT *
FROM [dbo].[InventDim] 
WHERE DataAreaId = 'm01'

-- truncate the data frome the main table 
--TRUNCATE TABLE [dbo].[InventDim]

-- copy the data back
INSERT INTO [dbo].[InventDim] WITH (TABLOCK)
SELECT *
FROM [dbo].[InventDim_Dump]

-- (optional) prove whether the IDs were correctly copied 
SELECT count(*)
FROM [dbo].[InventDim] A
JOIN [dbo].[InventDim_Dump] B
ON A.recid = B.RECID 
AND A. DATAAREAID = B.DATAAREAID 
WHERE A.DataAreaId = 'm01'

-- drop the „shadow“ table 
--DROP TABLE[dbo].[InventDim_Dump]

  

   As can be seen the “shadow” tables are simplified versions of the original tables, without constraints or indexes. They can be eventually created in another schema or even other database.   

   Except the script for table’s creation in the other scripts table’s name can be easily replaced in the editor via the search and replace functionality, trick that reduces considerably the time needed for development. I needed on average 5 minutes for each table, plus 3-4 hours for further tests.    

   The optional steps are more for exemplification and can be eventually removed.  

   The Tablock hint used in inserts provides better performance and minimizes the volume of data logged.    

   I used this method only for the tables having more than 3 million records, around 50 tables in total. Between them there were a few tables having 20-200 GB worth of records. I started with these big tables and figured out that also smaller tables could benefit from this method. A few minutes gained for each small table resulted in the end in a gain of a couple of hours.

   The remained records were 0-25% of the initial tables.   

   In theory, these steps could be performed within a cursor in which the creation of the “shadow” tables could be automated via table metadata as well. This approach will pay-off especially when the schema is not fixed, or the procedure needs to be repeated on different schemas.

Method 5: Delete Records in Batches    

   There will be a point beyond which the performance provided by the fourth method will deprecate considerably. This point is based on the volume of records available in the table, and the records needed to be inserted back and forth. Without further tests, I suppose that this point lies in the 50-75% interval. Beyond this point for big tables in range of 10x or 100x GB it might be useful to delete the data in batches. A push in this direction might be constrained by the need to shrink the transaction log in between the deletes. The query could be written as follow:

-- deleting top x records 
DELETE top 10000
FROM dbo.InventDim WITH (TABLOCK)
WHERE DataAreaId = ‘m01’

   The query can be included in a loop or run manually until no records are returned. It can be tested with different batch sizes to determine the best solution. In between is recommended to check also the growth of the log file and truncate it accordingly when needed.

Method 6: Using X++ Code  

    For those having some basic knowledge of X++ and Dynamics AX classes, a solution based on deleting data via AX code could prove to be a better solution as standard functionality can be leveraged, functionality that eventually considers also the business logic implemented. The downside is the code that need to be written for this purpose, however there are already some examples available on the web (see [4]).

Hint:
In AX 2012 built-in support for batch deletes was added via the delete_from statement (see [3]).

Further Considerations    

   Before attempting a deletion, it might be useful to analyze how many records will be deleted from each table, and eventually devise different scenarios for specific table categories. To get the number of records one can use either the built-in functionality from AX or use the sp_MSforEachTable stored procedure and export the results to text, following to overwork the data further in Excel:

-- listing the number of records per company 
sp_MSforEachTable @command1 = 'SELECT dataareaid, ''?'' table_name, count(*) no_records FROM ? WHERE DataAreaId IN (''m01'', ''m02'') GROUP BY dataareaid'

The results can be used also to approximate the space occupied by the data.   

   Independently of the method used it is recommended to restrict users‘ access to the system and to deactivate the scheduled AX or SQL Server jobs. This will ensure that no blockings will occur in the system during the respective time.    

   As data are synchronized between the AOS’s and the database, it is recommended to shut down the not needed AOS services before the deletions are performed, and restart them once all activities were performed.   

   To minimize the risks associated with the loss of data it’s recommended to perform a backup of the database(s) before performing any changes.    

   By deleting the data directly on the database, the business logic from AX (including customizations) is skipped. In theory this can lead to logical inconsistencies, however considering that all the data for a company are deleted, the risks are very small, unless intercompanies are involved.   

   After the data are deleted it is recommended to recreate the indexes and update the statistics on the tables.  

   Check whether the transaction log can accommodate the volume of records to be deleted! In extreme cases your SQL Server might crash! From this consideration it might be advantageous to delete only a company at a time.    

   Based on the volume of data available in the transaction log it might be needed to truncate the log(s) between the steps, as well at the end.  

   After the principle “better safe than sorrow”, it might be a good idea to check the physical and logical consistency of the data before letting the users in.   

  To minimize the impact on the business, it is recommended to perform the deletion outside the working hours, otherwise the action can lead to blocking and even deadlocks in the system.     Always attempt to use standard functionality and resort to other methods only when there’s no way around it.

  It is recommended to always test the scripts thoroughly in the test environment before attempting their productive usage!

References:
[1] Microsoft Dynamics AX Technical Support Blog (2010) How to delete orphaned data remained from deleted company?, by Martin Falta [Online] Available from: https://blogs.msdn.microsoft.com/emeadaxsupport/2010/12/09/how-to-delete-orphaned-data-remained-from-deleted-company/
[2] Art of Creation (2010) Delete an AX company on SQL [Online] Available from: http://www.artofcreation.be/2010/02/03/delete-an-ax-company-on-sql/
[3] MSDN (2012) delete_from Statement [Online] Available from: https://msdn.microsoft.com/en-us/library/aa624886.aspx[
4] Kevin’s blog (2017) Dynamics Ax 2012 History cleanup, by Kevin Roos [Online] Available from: https://www.kevinroos.be/2017/07/dynamics-ax-2012-history-cleanup/

📦Data Migrations (DM): Guiding Principles

Data Migrations Series

Introduction

“An army of principles can penetrate where an army of soldiers cannot."
Thomas Paine

In life as well in IT principles serve as patterns of advice in form of general or fundamental ideas, truths or values stated in a context-independent manner. They can be used as guidelines in understanding and modeling the reality, the world we live in. With the invasion of technologies in our lives principles serve as a solid ground on which we can build castles – solutions for our problems. Each technology comes with its own set of principles that defines in general terms its usage. That's why most of the IT books attempt to catch these sets of principles. Unfortunately, few of the technical writers manage to define some meaningful principles and showcase their usages.

Many of the ideas considered as principles in papers on Data Migration (DM) are at best just practices, and some can be considered as best/good practices. Just because something worked good in a previous migration doesn’t mean automatically that the idea behind the respective decision turns automatically in a principle. Some of the advices advanced are just lessons learned in disguise. Principles through their generality apply to a broad range of cases, while practices are more activity specific.

A DM through its nature finds its characteristics at the intersection of several area - database-based architecture design, ETL workflows, data management, project management (PM) and services. From these areas one can pull a set of principles that can be used in building DM architectures.

Architecture Principles

“Architecture starts when you carefully put two bricks together.”
Ludwig Mies van der Rohe

There are several general principles that apply to the architecture of applications, independently of the technologies used or the industry, e.g. research first, keep it simple/small, start with the end in mind, model first, design to handle failure, secure by design (aka safety first), prototype, progress iteratively, focus on value, reuse (aka don't reinvent the wheel), test early, early feedback, refactor, govern, validate, document, right tool – right people, make it to last, make it sustainable, partition around limits, scale out, defensive coding, minimal intervention, use common sense, process orientation, follow the data, abstract, anticipate obsolescence, benchmark, single-responsibility, single dispatch, separation of concerns, right perspective.

To them add a range of application design characteristics that can be considered as principles as well: extensibility, modularity, adaptability, reusability, repeatability, modularity, performance, revocability, auditability, subject-orientation, traceability, robustness, locality, heterogeneity, consistency, atomicity, increased cohesion, reduced coupling, monitoring, usability, etc. There are several principles that can be transported from problem solving into design - divide and conquer, prioritize, system’s approach, take inventory, and so on.

A DM’s architecture has more to do with a data warehouse as it relies heavily on ETL tasks and data need to be stored for various purposes. Besides the principles of good database design, a few other principles apply: model (the domain) first, denormalize, design for performance, maintainability and security, validate continuously. From ETL area following principles can be considered: single point of processing, each step must have a purpose, minimize touch points, rest data for checkpoints, leverage existing knowledge, automate the steps, batch processing.

 In addition, considering their data-specific character, a DM can be regarded as one or several data products, though in contrast with typical data products DM have typically a limited purpose. From this area following principles could be considered: build trust with transparency, blend in, visualize the complex.

Data Management Principles

Considering that a DM’s focus is an organization's data, some principles need to focus on the management and governance of Data. Data Governance together with Data Quality, Data Architecture, Metadata Management, Master Data Management are functions of Data Management. The focus is on data, metadata and their lifecycle, on processes, ownership and roles and their responsibilities. With this in mind there can be defined several principles supposed to facilitate the functions of Data Management: manage data as asset, manage data lifecycle, the business owns the data, integration across the organization, make data/metadata accessible, transparent and auditable processes, one source of truth.

As part of DM there are customer, employee and vendor information which fall under the General Data Protection Regulation (GDPR) EU 2016/679 regulation which defines the legal framework for data protection and privacy for all individuals within the European Union (EU) and the European Economic Area (EEA) as well the export of personal data outside the EU and EEA. The regulation defines a set of principles that make its backbone: fairness, lawfulness and transparency, purpose limitation, data minimization, accuracy, storage limitation, integrity and confidentiality, accountability [6].

Overseas, the US Federal Trade Commission (FTC) issued in 2012, a report recommending organizations design and implement their own privacy programs based on a set of best practices. The report reaffirms the FTC’s focus on Fair Information Processing Principles, which include notice/awareness, choice/consent, access/participation, integrity/security, enforcement/redress [6].

Project Management (PM) Principles

"Management is doing things right […]"
Peter Drucker

A DM though its characteristics is a project and, to increase the chances of success, it needs to be managed as a project. Managing DM as a project is one of the most important principles to consider. The usage of a PM framework will further increase the chances of success, as long the framework is adequate for the purpose and the organization team is able to use the framework. PMI, Prince2, Agile/Scrum/Kanban are probably the most used PM methodologies and they come with their own sets of principles.

In general, all or some of the PM principles apply independently on whether is used alone or in combination with other PM methodologies: a single project manager, an informed and supportive management, a dedicated team of qualified people to do the work of the project, clearly defined goals addressing stakeholders’ priorities, an integrated plan and schedule, as well a budget of costs and/or resources required [1].

On the other side, an agile approach could prove to be a better match for a DM given that requirements change a lot, frequent and continuous deliveries are needed, collaboration is necessary, agile processes as well self-organizing teams can facilitate the migration. These are just a few of the catchwords that make the backbone of the Agile Manifesto (see [3]).

An agile form of Prince2 could be something to consider as well, especially when Prince2 is used as methodology for other projects. For Prince2 are the following principles to consider: continued business justification, learn from experience, defined roles and responsibilities, manage by stages, management by exception, focus on products, tailor to suit the project environment [2].

All these PM principles reveal important aspects to ponder upon, and maybe with a few exceptions, all can be incorporated in the way the DM project is managed.

Service Principles

Considering the dependencies existing between the DM and Data Quality as well to the broader project, a DM can have the characteristics of a service. It’s not an IT Service per se, as IT only supports technically and eventually from a PM perspective the project. Even if a DM is not a ITSM service, some of the ITIL principles can still apply: focus on value, design for experience, start where you are, work holistically, progress iteratively, observe directly, be transparent, collaborate and keep it simple [4].

Conclusion

“Obey the principles without being bound by them.”
Bruce Lee

Within a DM all the above principles can be considered, though the network of implication they create can easily shift the focus from the solution to the philosophical aspects, and that’s a marshy road to follow. Even if all principles are noble, not all can be considered. It would be utopic to consider each possible principle. The trick is to identify the most “important” principles (principles that make sense) and prioritize them according to existing requirements. In theory, this is a one-time process that involves establishing a “framework” of best/good practices for the DM, in next migrations needing only to consider the new facts and aspects.

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References:
[1] “Principles of project management”, by J. A. Bing, PM Network, 1994 (link)
[2] Axelos (2018) What is PRINCE2? (link)
[3] Agile Manifesto (2001) Principles behind the Agile Manifesto (link)
[4] Axelos (2018) ITIL® Practitioner 9 Guiding Principles (link)
[5] The Data Governance Institute (2018) Goals and Principles for Data Governance (link) 
[6] Navigating the Labyrinth: An Executive Guide to Data Management, by Laura Sebastian-Coleman for DAMA International, Technics Publications, 2018 (link)  

🔬Data Science: Data Model (Definitions)

"simplified and approximative description of a system or process, based on a finite set of essential variables and their analytically definable behavior." (Teuvo Kohonen, "Self-Organizing Maps" 3rd Ed., 2001)

"(i) An abstract, self-contained logical definition of the data structures and associated operators that make up the abstract machine with which users interact (such as the relational model of data). (ii) A model of the persistent data of some enterprise" (Keith Gordon, "Principles of Data Management", 2007)

"A means of encapsulating the data elements that were decided on by the business experts, in conjunction with the data stewards and IT professionals. The data models reflect an organization’s business as represented in the data." (Tony Fisher, "The Data Asset", 2009)

"An abstraction of how individual data elements relate to each other. It visually depicts how the data is to be organized and stored in a database. A data model provides the mechanism to document and understand how data is organized." (Laura Reeves, "A Manager's Guide to Data Warehousing", 2009)

"An organization of data that describes the relationships among primitive and composite data elements." (Toby J. Teorey, "Database Modeling and Design" 4th Ed., 2010)

"A model of the structure (and to some extent the content) of a database and at least some of the rules governing the data therein." (Graham Witt, "Writing Effective Business Rules", 2012)

"A data model is a visual representation of data content and the relationships, created for purposes of understanding how data is or might be organized, and for ensuring the comprehensibility and usability of that way of organizing data." (Laura Sebastian-Coleman, "Measuring Data Quality for Ongoing Improvement", 2013)

"Represents data objects and their relationships with each other. Data models form the basis for data integration at the conceptual level as well as the improvement of data quality, such as with regard to the reduction of data redundancy. Data models are one component of the data architecture." (Boris Otto & Hubert Österle, "Corporate Data Quality", 2015)

"A template formalizing the relationship between an input and an output. Its structure is fixed but it also has parameters that are modifiable; the parameters are adjusted so that the same model with different parameters can be trained on different data to implement different relationships in different tasks." (Ethem Alpaydın, "Machine learning : the new AI", 2016)

"A visual means of depicting data and its relationship to other data." (Gregory Lampshire et al, "The Data and Analytics Playbook", 2016)

"An abstract representation of a subject that looks and/or behaves like all or part of the original." (George Tillmann, "Usage-Driven Database Design: From Logical Data Modeling through Physical Schmea Definition", 2017)

"In the context of machine learning, a model is a representation of a pattern extracted using machine learning from a data set. Consequently, models are trained, fitted to a data set, or created by running a machine learning algorithm on a data set. Popular model representations include decision trees and neural networks. A prediction model defines a mapping (or function) from a set of input attributes to a value for a target attribute. Once a model has been created, it can then be applied to new instances from the domain. For example, in order to train a spam filter model, we would apply a machine learning algorithm to a data set of historic emails that have been labeled as spam or not spam. Once the model has been trained it can be used to label (or filter) new emails that were not in the original data set." (John D Kelleher & Brendan Tierney, "Data science", 2018)

"An abstract model that describes how data is presented and used." (Piethein Strengholt, "Data Management at Scale", 2020)

"A logical map that represents the inherent properties of the data independent of software, hardware or machine performance considerations. The model shows data elements grouped into records, as well as the association around those records." (Information Management)

"Defines how data is structured, related, and standardized for the purpose of extracting meaningful insight." (Insight Software)

"A data model is an abstract model that organizes elements of data and standardizes how they relate to one another. Their properties are generally governed by properties of the real world entities." (kloudless)

🔬Data Science: Multilayer Perceptron (Definitions)

"A neural net composed of three or more slabs (and therefore two or more layers of weighted connection paths); such nets are capable of solving more difficult problems than are single layer nets. They are often trained by backpropagation." (Laurene V Fausett, "Fundamentals of Neural Networks: Architectures, Algorithms, and Applications", 1994)

"A fully connected feedforward NN with at least one hidden layer that is trained using back-propagation algorithmic techniques." (Ioannis Papaioannou et al, "A Survey on Neural Networks in Automated Negotiations", Encyclopedia of Artificial Intelligence, 2009)

"A kind of feed-forward neural network which has at least one hidden layer of neurons." (Fernando Mateo et al, "A 2D Positioning Application in PET Using ANNs", Encyclopedia of Artificial Intelligence, 2009)

"A neural network that has one or more hidden layers, each of which has a linear combination function and executes a nonlinear activation function on the input to that layer." (Robert Nisbet et al, "Handbook of statistical analysis and data mining applications", 2009)

"It has a layered architecture consisting of input, hidden and output layers. Each layer consists of a number of perceptrons." (Siddhartha Bhattacharjee et al, "Quantum Backpropagation Neural Network Approach for Modeling of Phenol Adsorption from Aqueous Solution by Orange Peel Ash", 2013)

"A type of neural network. The MLP is the most common, and arguably the simplest, neural network used for classification." (Meta S Brown, "Data Mining For Dummies", 2014)

"An artificial neural network model with feed forward architecture that maps sets of input data onto a set of desired outputs iteratively, through the process of learning. A MLP consists of an input layer of neurons, one or more hidden layers of neurons and an output layer of neurons, where each layer is fully connected to the next layer." (Eitan Gross, "Stochastic Neural Network Classifiers", 2015) 

"an important class of ANN that typically consists of the input layer, one or more hidden layers of computation nodes, and an output layer. The input signal propagates through the network in a forward direction, on a layer-by-layer basis." (Pablo Escandell-Montero et al,"Artificial Neural Networks in Physical Therapy", 2015)

"Arguably the most popular artificial neural network model. It is usually composed by three or four layers of units. Each unit is fully connected to the units of the previous layer. Learning is customarily performed via the backpropagation rule." (D T Pham & M Castellani, "The Bees Algorithm as a Biologically Inspired Optimisation Method", 2015)

"Is an ANN type that requires a reference to learn patterns. It is trained using (error) back propagation algorithm." (Kandarpa K Sarma, "Learning Aided Digital Image Compression Technique for Medical Application", 2016)

"MLP is a feed forward neural network with one or more layers between input and output layer and are used to solve non-linearly separable problems. MLPs are trained using the back propagation algorithm. MLPs are widely used in pattern classification, recognition, prediction, etc." (Mridusmita Sharma & Kandarpa K Sarma, "Soft-Computational Techniques and Spectro-Temporal Features for Telephonic Speech Recognition: An Overview and Review of Current State of the Art", 2016)

🔬Data Science: Neuron (Definitions)

[Chaotic neuron:] "An artificial neuron whose output is calculated with the use of a chaotic output function." (Nikola K Kasabov, "Foundations of Neural Networks, Fuzzy Systems, and Knowledge Engineering", 1996)

[Oscillatory neuron:] "An artificial neuron built up of two elements (or two groups of elements), one of them being excitatory and the other inhibitory. Its functioning is described as oscillation, characterized by three parameters: frequency; phase; amplitude." (Nikola K Kasabov, "Foundations of Neural Networks, Fuzzy Systems, and Knowledge Engineering", 1996)

"A nerve cell in the physiological nervous system." (Guido J Deboeck and Teuvo Kohonen, "Visual explorations in finance with self-organizing maps", 2000)

[Hidden neuron:] "Usually a nonlinear (or linear) processing element with no direct connections to either inputs or outputs. It often provides the learning capacity of the neural network." (Guido Deboeck & Teuvo Kohonen (Eds), "Visual Explorations in Finance with Self-Organizing Maps", 2000)

"any of the numerous types of specialized cell in the brain or other nervous systems that transmit and process neural signals. The nodes of artificial neural networks are also called neurons." (Teuvo Kohonen, "Self-Organizing Maps 3rd Ed.", 2001)

"A single processing element in a neural network. The most common form of neuron has two basic parts: a summation function that receives inputs and a transfer function that processes inputs and passes the processed values to the next layer of neurons. If the neuron is in the last layer of the network, the output is the final estimate of the dependent variable for that input vector or case." (David Scarborough & Mark J Somers, "Neural Networks in Organizational Research: Applying Pattern Recognition to the Analysis of Organizational Behavior", 2006)

"the elementary processing unit that composes an ANN." (Pablo Escandell-Montero et al, "Artificial Neural Networks in Physical Therapy", 2015)

"A neuron takes a number of input values (or activations) as input and maps these values to a single output activation. This mapping is typically implemented by applying a multi-input linear-regression function to the inputs and then pushing the result of this regression function through a nonlinear activation function, such as the logistic or tanh function." (John D Kelleher & Brendan Tierney, "Data science", 2018)

"Specialized brain cell that integrates inputs from other neurons and sends outputs to other neurons." (Terrence J Sejnowski, "The Deep Learning Revolution", 2018)

"A unit in a neural net whose function (such as y = tanh(w.dot(x))) takes multiple inputs and outputs a single scalar value. This value is usually the weights for that neuron (w or wi) multiplied by all the input signals (x or xi) and summed with a bias weight (w0) before applying an activation function like tanh. A neuron always outputs a scalar value, which is sent to the inputs of any additional hidden or output neurons in the network. If a neuron implements a much more complicated activation function than that, like the enhancements that were made to recurrent neurons to create an LSTM, it is usually called a unit, for example, an LSTM unit." (Hobson Lane et al, "Natural Language Processing in Action: Understanding, analyzing, and generating text with Python", 2019)

"An artificial neuron is a model of a neuron present in an animal brain that is perceived as a mathematical function." (Hari K Kondaveeti et al, "Deep Learning Applications in Agriculture: The Role of Deep Learning in Smart Agriculture", 2021)

🔬Data Science: Pattern Recognition (Definitions)

"The categorization of patterns in some domain into meaningful classes. A pattern usually has the form of a vector of measurement values." (Guido Deboeck & Teuvo Kohonen (Eds), "Visual Explorations in Finance with Self-Organizing Maps 2nd Ed.", 2000)

"in the most general sense the same as artificial perception." (Teuvo Kohonen, "Self-Organizing Maps" 3rd Ed., 2001)

"The operation and design of systems that recognize patterns in data." (Craig F Smith & H Peter Alesso, "Thinking on the Web: Berners-Lee, Gödel and Turing", 2008)

"Research area that enclose the development of methods and automatized techniques for identification and classification of samples in specific groups, in accordance with representative characteristics." (Paulo E Ambrósio, "Artificial Intelligence in Computer-Aided Diagnosis",  Encyclopedia of Artificial Intelligence, 2009)

"The process of identifying patterns in data via algorithms to make predictions within a subject area." (Jason Williamson, Getting a Big Data Job For Dummies, 2015)

"A branch of machine learning that recognizes and separates the patterns of one class from the other." (Mridusmita Sharma & Kandarpa K Sarma, "Soft-Computational Techniques and Spectro-Temporal Features for Telephonic Speech Recognition: An Overview and Review of Current State of the Art", 2016)

"A pattern is a particular configuration of data; for example, ‘A’ is a composition of three strokes. Pattern recognition is the detection of such patterns." (Ethem Alpaydın, "Machine learning : the new AI", 2016)

"Pattern Recognition in the discipline which tries to find the classes in the datasets of the various applications and it is the major building block of artificially intelligent systems." (Vandana M Ladwani, "Support Vector Machines and Applications", 2017)

"identifying patterns in data via algorithms to make predictions of new data coming from the same source." (Analytics Insight)

🔬Data Science: Markov Process (Definitions)

"A Markov process is any stochastic process in which the future development is completely determined by the present state and not at all by the way in which the present state arose." (David B MacNeil, "Modern Mathematics for the Practical Man", 1963)

"A Markov process is a stochastic process in which present events depend on the past only through some finite number of generations. In a first-order Markov process, the influential past is limited to a single earlier generation: the present can be fully accounted for by the immediate past." (Manfred Schroeder, "Fractals, Chaos, Power Laws Minutes from an Infinite Paradise", 1990)

"stochastic process in which the new state of a system depends on the previous state only (or more generally, on a finite set of previous states)." (Teuvo Kohonen, "Self-Organizing Maps" 3rd Ed., 2001)

"A stochastic process in which the transition probabilities can be estimated on the basis of first order data. Such a process is also stationary in that probability estimates do not change across the sample (generally across time)." (W David Penniman,"Historic Perspective of Log Analysis", 2009)

"Stochastic process in which the new state of a system depends on the previous state or a finite set of previous states." (Patrick Rousset & Jean-Francois Giret, "A Longitudinal Analysis of Labour Market Data with SOM" Encyclopedia of Artificial Intelligence, 2009)

"A stochastic process where the probabilities of the events depend on the previous event only." (Michael M Richter, "Business Processes, Dynamic Contexts, Learning", 2014)

"A Markov chain (or Markov process) is a system containing a finite number of distinct states S1,S2,…,Sn on which steps are performed such that: (1) At any time, each element of the system resides in exactly one of the states. (2) At each step in the process, elements in the system can move from one state to another. (3) The probabilities of moving from state to state are fixed - that is, they are the same at each step in the process." (Stephen Andrilli & David Hecker, [in [Elementary Linear Algebra] 5th Ed.), 2016)

[hidden Markov model:] "A hidden Markov model is a technique for modeling sequences using a hidden state that only uses the previous part of the sequence." (Alex Thomas, "Natural Language Processing with Spark NLP", 2020)

[Markov decision process:] "A stochastic dynamic program, whereby for each policy the resulting state variables comprise a Markov process (a stochastic process with the property that the conditional probability of a transition to any state depends only on the current state, and not on previous states)." (Mathematical Programming Glossary)

🔬Data Science: Time Series (Definitions)

"A time series may be defined as a collection of readings belonging to different time periods, of some economic variable or composite of variables." (Ya-lun Chou, "Statistical Analysis", 1969)

"It is composed of a sequence of values, where each value corresponds to a time instance. The length remains constant." (Maria Kontaki et al, "Similarity Search in Time Series",  2009)

"a time series is a sequence of data points, measured typically at successive times, spaced at time intervals." (Yong Yu et al, "Applications of Evolutionary Neural Networks for Sales Forecasting of Fashionable Products", 2010)

"A sequence of numerical values of a variable obtained at some regular/uniform intervals of time or at non uniform intervals of time." (Mofazzal H Khondekar et al, "Soft Computing Based Statistical Time Series Analysis, Characterization of Chaos Theory, and Theory of Fractals", 2013)

"A series of values of a quantity obtained at successive times, often with equal intervals between them." (Dima Alberg & Zohar Laslo, "Segmenting Big Data Time Series Stream Data", 2014) 

"An ordered sequence of values that correspond to a variable that is typically sampled at a uniform sampling rate. Time series prediction is intended to make estimations about the future values of the series." (Fernando Mateo et al, "Forecasting Techniques for Energy Optimization in Buildings", 2015)

"A sequence of data points consisting of consecutive measurements that are made over a time interval." (Vasileios Zois, "Querying of Time Series for Big Data Analytics", 2016)

"A series of values of a quantity obtained at successive times, often with equal intervals between them." (Dima Alberg, "Big Data Time Series Stream Data Segmentation Methods", Encyclopedia of Information Science and Technology, 2018)

"A time series is a sequence of values, usually taken in equally spaced intervals. […] Essentially, anything with a time dimension, measured in regular intervals, can be used for time series analysis." (Andy Kriebel & Eva Murray, "#MakeoverMonday: Improving How We Visualize and Analyze Data, One Chart at a Time", 2018)

"A series of data points indexed (or listed or graphed) in time order. Most commonly, a time series is a sequence taken at successive equally spaced points in time." (Gurpreet Kaur & Akriti Gupta, "India-BIMSTEC Bilateral Trade Activities: A Gravity Model Approach", 2020)

"Time series is a series of data points that are listed in time order." (Siyu Shi, "Introduction to Python and Its Statistical Applications", 2020)

"A set of successive observations collected generally at the same interval, named period." (Oumayma Bounouh et al, "Investigating the Pixel Quality Influence on Forecasting Vegetation Change Dynamics: Application Case of Tunisian Olive Sites", 2021)

🔬Data Science: Recurrent Neural Network [RNN] (Definitions)

"A neural net with feedback connections, such as a BAM, Hopfield net, Boltzmann machine, or recurrent backpropagation net. In contrast, the signal in a feedforward neural net passes from the input units (through any hidden units) to the output units." (Laurene V Fausett, "Fundamentals of Neural Networks: Architectures, Algorithms, and Applications", 1994)

"A neural network topology where the units are connected so that inputs signals flow back and forth between the neural processing units until the neural network settles down. The outputs are then read from the output units." (Joseph P Bigus, "Data Mining with Neural Networks: Solving Business Problems from Application Development to Decision Support", 1996)

"Networks with feedback connections from neurons in one layer to neurons in a previous layer." (Nikola K Kasabov, "Foundations of Neural Networks, Fuzzy Systems, and Knowledge Engineering", 1996)

"RNN topology involves backward links from output to the input and hidden layers." (Siddhartha Bhattacharjee et al, "Quantum Backpropagation Neural Network Approach for Modeling of Phenol Adsorption from Aqueous Solution by Orange Peel Ash", 2013)

"Neural network whose feedback connections allow signals to circulate within it." (Terrence J Sejnowski, "The Deep Learning Revolution", 2018)

"An RNN is a special kind of neural network used for modeling sequential data." (Alex Thomas, "Natural Language Processing with Spark NLP", 2020)

"A recurrent neural network (RNN) is a class of artificial neural networks where connections between nodes form a directed graph along a temporal sequence. This allows it to exhibit temporal dynamic behavior." (Udit Singhania & B. K. Tripathy, "Text-Based Image Retrieval Using Deep Learning", 2021)

"A RNN [Recurrent Neural Network] models sequential interactions through a hidden state, or memory. It can take up to N inputs and produce up to N outputs. For example, an input sequence may be a sentence with the outputs being the part-of-speech tag for each word (N-to-N). An input could be a sentence, and the output a sentiment classification of the sentence (N-to-1). An input could be a single image, and the output could be a sequence of words corresponding to the description of an image (1-to-N). At each time step, an RNN calculates a new hidden state ('memory') based on the current input and the previous hidden state. The 'recurrent' stems from the facts that at each step the same parameters are used and the network performs the same calculations based on different inputs." (Wild ML)

"Recurrent Neural Network (RNN) refers to a type of artificial neural network used to understand sequential information and predict follow-on probabilities. RNNs are widely used in natural language processing, with applications including language modeling and speech recognition." (Accenture)

🔬Data Science: Generative Adversarial Network (Definitions)

"A category of deep learning neural networks that are composed of two competitive neural networks together." (Dulani Meedeniya & Iresha Rubasinghe, "A Review of Supportive Computational Approaches for Neurological Disorder Identification", 2020) 

"A powerful machine learning technique made up of two learning systems that compete with each other in a game-like fashion. Features of the winning system are 'genetically' added to the loser along with random mutations. GANs teach themselves through this 'survival of the fittest' evolutionary model. They 'generate' new solutions through many, often millions, of generations." (Scott R Garrigan, "Frameworks for Integration of Future-Oriented Computational Thinking in K-12 Schools", 2020)

"An artificial intelligence process that includes a 'generator' that produces samples, and a 'discriminator' that differentiates between computer-generated samples and samples derived from 'real-world' sources." (Keram Malicki-Sanchez, "Out of Our Minds: Ontology and Embodied Media in a Post-Human Paradigm", 2020)

"Machine learning framework in which two neural networks compete against each other to win within a gaming environment using a supervised learning pattern." (Jose A R Pinheiro, "Contemporary Imagetics and Post-Images in Digital Media Art: Inspirational Artists and Current Trends (1948-2020)", 2020)

"It refers to a type of neural network that consists of a generative and a discriminative network that contest with each other especially in a game scenario. They are used to generate new data that are statistically similar to the training data." (Vijayaraghavan Varadharajan & J Rian Leevinson, "Next Generation of Intelligent Cities: Case Studies from Europe", 2021)

"A generative adversarial network, or GAN, is a deep neural network framework which is able to learn from a set of training data and generate new data with the same characteristics as the training data." (Thomas Wood)

🔬Data Science: Semi-supervised Learning (Definitions)

"machine learning technique that uses both labelled and unlabelled data for constructing the model." (Óscar Pérez & Manuel Sánchez-Montañés, "Class Prediction in Test Sets with Shifted Distributions", 2009)

"The set of learning algorithms in which the samples in training dataset are all unlabelled." (Jun Jiang & Horace H S Ip, "Active Learning with SVM, Encyclopedia of Artificial Intelligence", 2009) 

"Learning to label new data using both labeled training data plus unlabeled data." (Jesse Read & Albert Bifet, "Multi-Label Classification", 2014)

"A method of empirical concept learning from unlabeled data. The task is to build a model that finds groups of similar examples or that finds dependencies between attribute-value tuples." (Petr Berka, "Machine Learning", 2015)

"Combines the methodology of the supervised learning to process the labeled data with the unsupervised learning to compute the unlabeled data." (Nuno Pombo et al, "Machine Learning Approaches to Automated Medical Decision Support Systems", 2015)

"Estimation of the parameters of a model considering only un-labeled data and without the help of human experts." (Manuel Martín-Merino, "Semi-Supervised Dimension Reduction Techniques to Discover Term Relationships", 2015)

"In this category either the model is developed in such a way that either there are labels exist for all kind of observations or there is no label exist." (Neha Garg & Kamlesh Sharma, "Machine Learning in Text Analysis", 2020)

"It is a machine learning algorithm in which the machine learns from both labeled and unlabeled instances to build a model for predicting the class of unlabeled instances." (Gunjan Ansari et al, "Natural Language Processing in Online Reviews", 2021)

"Semi-supervised learning aims at labeling a set of unlabelled data with the help of a small set of labeled data." (Hari K Kondaveeti et al, "Deep Learning Applications in Agriculture: The Role of Deep Learning in Smart Agriculture", 2021)

"The semi-supervised learning combines both supervised and unsupervised learning algorithms." (M Govindarajan, "Big Data Mining Algorithms", 2021)

🔬Data Science: Perceptron (Definitions)

"the term is often used to refer to a single layer pattern classification network with linear threshold units" (Laurene V Fausett, "Fundamentals of Neural Networks: Architectures, Algorithms, and Applications", 1994)

"adaptive element for multilayer feedforward networks introduced by Rosenblatt" (Teuvo Kohonen, "Self-Organizing Maps" 3rd Ed., 2001)

"An early theoretical model of the neuron developed by Rosenblatt (1958) that was the first to incorporate a learning rule. The term is also used as a generic label for all trained feed-forward networks, which is often referred to collectively as multilayer perceptron networks." (David Scarborough & Mark J Somers, "Neural Networks in Organizational Research: Applying Pattern Recognition to the Analysis of Organizational Behavior", 2006)

"A type of binary classifier that maps its inputs (a vector of real type) to an output value (a scalar real type). The perceptron may be considered as the simplest model of feed-forward neural network, as the inputs directly feeding the output units through weighted connections." )Crescenzio Gallo, "Artificial Neural Networks Tutorial", 2015)

"A perceptron is a type of a neural network organized into layers where each layer receives connections from units in the previous layer and feeds its output to the units of the layer that follow." (Ethem Alpaydın, "Machine learning : the new AI", 2016)

"Perceptron is a learning algorithm which is used to learn the decision boundary for linearly separable data." Vandana M Ladwani, "Support Vector Machines and Applications", 2017)

"A simple neural network model consisting of one unit and inputs with variable weights that can be trained to classify inputs into categories." (Terrence J Sejnowski, "The Deep Learning Revolution", 2018)

"The simplest form of artificial neural network, a basic operational unit which employs supervised learning. It is used to classify data into two classes." (Gaetano B Ronsivalle & Arianna Boldi, "Artificial Intelligence Applied: Six Actual Projects in Big Organizations", 2019)

"A perceptron is a single-layer neural network. It includes input values, weights and bias, net sum, and an activation function." (Prisilla Jayanthi & Muralikrishna Iyyanki, "Deep Learning Techniques for Prediction, Detection, and Segmentation of Brain Tumors", 2020)

"The basic unit of a neural network that encodes inputs from neurons of the previous layer using a vector of weights or parameters associated with the connections between perceptrons." Mário P Véstias, "Deep Learning on Edge: Challenges and Trends", 2020)

"these are machine learning algorithms that undertake supervised learning of functions called binary classifiers which decide whether or not an input, usually identified with a vector of numbers, belongs to a particular class." (Hari Kishan Kondaveeti et al, "Deep Learning Applications in Agriculture: The Role of Deep Learning in Smart Agriculture", 2021)

🔬Data Science: Convolutional Neural Network [CNN] (Definitions)

"A multi layer neural network similar to artificial neural networks only differs in its architecture and mainly built to recognize visual patterns from image pixels." (Nishu Garg et al, "An Insight Into Deep Learning Architectures, Latent Query Features", 2018)

"In machine learning, a convolutional neural network is a class of deep, feed-forward artificial neural networks that has successfully been applied to analyzing visual imagery. CNNs use a variation of multilayer perceptrons designed to require minimal preprocessing. They are also known as shift invariant or space invariant artificial neural networks (SIANN), based on their shared-weights architecture and translation invariance characteristics." (V E Jayanthi, "Automatic Detection of Tumor and Bleed in Magnetic Resonance Brain Images", 2018)

"A special type of feed-forward neural network optimized for image data processing. The key features of CNN architecture include sharing weights, using pooling layers, implementing deep structures with multiple hidden layers." (Lyudmila N. Tuzova et al, "Teeth and Landmarks Detection and Classification Based on Deep Neural Networks", 2019)

"A type of artificial neural networks, which uses a set of filters with tunable (learnable) parameters to extract local features from the input data." (Sergei Savin & Aleksei Ivakhnenko, "Enhanced Footsteps Generation Method for Walking Robots Based on Convolutional Neural Networks", 2019) 

"A convolutional neural network (CNN) is a type of artificial neural network used in image recognition and processing that is specifically designed to process pixel data by means of learnable filters." (Loris Nanni et al, "Digital Recognition of Breast Cancer Using TakhisisNet: An Innovative Multi-Head Convolutional Neural Network for Classifying Breast Ultrasonic Images", 2020)

"A convolutional neural network (CNN) is a type of artificial neural network used in image recognition and processing that is specifically designed to process pixel data. CNNs are powerful image processing, artificial intelligence (AI) that use deep learning to perform both generative and descriptive tasks, often using machine vision that includes image and video recognition, along with recommender systems and natural language processing (NLP)." (Mohammad F Hashmi et al, "Subjective and Objective Assessment for Variation of Plant Nitrogen Content to Air Pollutants Using Machine Intelligence", 2020)

"A neural network with a convolutional layer which does the mathematical operation of convolution in addition to the other layers of deep neural network." (S Kayalvizhi & D Thenmozhi, "Deep Learning Approach for Extracting Catch Phrases from Legal Documents", 2020)

"A special type of neural networks used popularly to analyze photography and imagery." (Murad Al Shibli, "Hybrid Artificially Intelligent Multi-Layer Blockchain and Bitcoin Cryptology", 2020)

"In deep learning, a convolutional neural network is a class of deep neural networks, most commonly applied to analyzing visual imagery. CNNs use a variation of multilayer perceptrons designed to require minimal preprocessing." (R Murugan, "Implementation of Deep Learning Neural Network for Retinal Images", 2020)

"A class of deep neural networks applied to image processing where some of the layers apply convolutions to input data." (Mário P Véstias, "Convolutional Neural Network", 2021)

"A convolution neural network is a kind of ANN used in image recognition and processing of image data." (M Srikanth Yadav & R Kalpana, "A Survey on Network Intrusion Detection Using Deep Generative Networks for Cyber-Physical Systems", 2021)

"A multi-layer neural network similar to artificial neural networks only differs in its architecture and mainly built to recognize visual patterns from image pixels." (Udit Singhania & B K Tripathy, "Text-Based Image Retrieval Using Deep Learning", 2021) 

"A type of deep learning algorithm commonly applied in analyzing image inputs." (Jinnie Shin et al, "Automated Essay Scoring Using Deep Learning Algorithms", 2021)

"It is a class of deep neural networks, most commonly applied to analyzing visual imagery." (Sercan Demirci et al, "Detection of Diabetic Retinopathy With Mobile Application Using Deep Learning", 2021)

"They are a class of deep neural networks that are generally used to analyze image data. They use convolution instead of simple matrix multiplication in a few layers of the network. They have shared weights architecture and have translation invariant characteristics." Vijayaraghavan Varadharajan & J Rian Leevinson, "Next Generation of Intelligent Cities: Case Studies from Europe", 2021) 

🔬Data Science: Boltzmann Machine (Definitions)

[Boltzmann machine (with learning):] "A net that adjusts its weights so that the equilibrium configuration of the net will solve a given problem, such as an encoder problem" (David H Ackley et al, "A learning algorithm for boltzmann machines", Cognitive Science Vol. 9 (1), 1985)

[Boltzmann machine (without learning):] "A class of neural networks used for solving constrained optimization problems. In a typical Boltzmann machine, the weights are fixed to represent the constraints of the problem and the function to be optimized. The net seeks the solution by changing the activations (either 1 or 0) of the units based on a probability distribution and the effect that the change would have on the energy function or consensus function for the net." (David H Ackley et al, "A learning algorithm for boltzmann machines", Cognitive Science Vol. 9 (1), 1985)

"neural-network model otherwise similar to a Hopfield network but having symmetric interconnects and stochastic processing elements. The input-output relation is optimized by adjusting the bistable values of its internal state variables one at a time, relating to a thermodynamically inspired rule, to reach a global optimum." (Teuvo Kohonen, "Self-Organizing Maps 3rd" Ed., 2001)

"A neural network model consisting of interacting binary units in which the probability of a unit being in the active state depends on its integrated synaptic inputs." (Terrence J Sejnowski, "The Deep Learning Revolution", 2018)

"An unsupervised network that maximizes the product of probabilities assigned to the elements of the training set." (Mário P Véstias, "Deep Learning on Edge: Challenges and Trends", 2020)

"Restricted Boltzmann machine (RBM) is an undirected graphical model that falls under deep learning algorithms. It plays an important role in dimensionality reduction, classification and regression. RBM is the basic block of Deep-Belief Networks. It is a shallow, two-layer neural networks. The first layer of the RBM is called the visible or input layer while the second is the hidden layer. In RBM the interconnections between visible units and hidden units are established using symmetric weights." (S Abirami & P Chitra, "The Digital Twin Paradigm for Smarter Systems and Environments: The Industry Use Cases", Advances in Computers, 2020)

"A deep Boltzmann machine (DBM) is a type of binary pairwise Markov random field (undirected probabilistic graphical model) with multiple layers of hidden random variables." (Udit Singhania & B. K. Tripathy, "Text-Based Image Retrieval Using Deep Learning",  2021) 

"A Boltzmann machine is a neural network of symmetrically connected nodes that make their own decisions whether to activate. Boltzmann machines use a straightforward stochastic learning algorithm to discover “interesting” features that represent complex patterns in the database." (DeepAI) [source]

"Boltzmann Machines is a type of neural network model that was inspired by the physical process of thermodynamics and statistical mechanics. [...] Full Boltzmann machines are impractical to train, which is one of the reasons why a limited form, called the restricted Boltzmann machine, is used." (Accenture)

"RBMs [Restricted Boltzmann Machines] are a type of probabilistic graphical model that can be interpreted as a stochastic artificial neural network. RBNs learn a representation of the data in an unsupervised manner. An RBN consists of visible and hidden layer, and connections between binary neurons in each of these layers. RBNs can be efficiently trained using Contrastive Divergence, an approximation of gradient descent." (Wild ML)