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<center><b><big>DRAFT DOCUMENT</big></b></center>
<title>Updating QAT to 2023 Standards</title>
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<h1>Updating Quasi Axiomatic Theory to 2023 Standards</h1>
;This document discusses the development of the 911 era category theory as a quasi-relational perceptive envelope for machine learning and control.
<p>Author: Don@groupKOS.com</p>
<p>Copyright © 2023 Don@groupKOS.com, All rights reserved under appropriate open-source licenses</p>


<h2>Introduction</h2>
==Introduction==
<p>The Quasi Axiomatic Theory was developed as a big-data tool to significant events in the live-edge of the expanding world-corpus.</p>
The Quasi Axiomatic Theory (QAT) was developed as a big-data tool to discover significant events in cyberspace. By using a sampling of the world corpus, the QAT can isolate category trends and waves of change in large data samples by examining internet router logs.


<h2>Abstract and Theoretical Framework</h2>
This process was implemented as an in-memory data engine which enabled the discovery of category-frequency-trends. From this, the cause of the change-wave may be reverse-searched from category to data-event.
<p>The QAT is based on a simultaneity of relational events in dual channels of measurement. The simultaneity is registered not at a process thread in an algorithmic moment, but as registered as simultaneous within the entire set of dual measurements.</p>


<h3>Implementation Philosophy</h3>
The QAT allows for a perception of relational dynamics. It can enable AI in training to witness the quasi-artifact of measured reality.
<p>In this paradigm of measurement and category-frequency stratification, the data is a recording and remains immutable. A binary tree implementation for node access had no need to balance an immutable log. A delete function for a tree node isn't needed. In the category theory implementation, the data may be sparsely sampled with the same results.</p>


<h3>The Quasi Axiomatic Theory (QAT) and its Components</h3>
===The Architecture of the QAT Algorithms===
<p>The QAT facilitates the display of cross-channel relationships through two key components: Category Abstraction (cA) and Event Chemistry (eC).</p>
The QAT algorithms use a method called '''Categorical abstraction''', which produces a visual map of data trends. This is achieved by taking two points and moving them slightly closer together on the map. Over time, this produces a clustering of categories on the map.


<h4>Category Abstraction (cA)</h4>
A second technique used by the QAT is '''Event Chemistry'''.  This method allows the user to explore interesting groups of categories within the data-stream that have been isolated by Category Abstraction mapping.
<p>Once interesting groups of categories within the data-stream are isolated by category abstraction mapping, groupings of interest are selected from the clusters on the cA mapping.</p>


<h4>Event Chemistry (eC)</h4>
===QAT Theory in principle of emergent processing of causal artifact within chaos===
<p>Isolation of small groups allows event chemistry abstraction to sleuth the chemistry of categorical interactions as an interactive classical graph of circles connected with lines.</p>
The QAT is a map maker. It uses a method called 'tweening' to group categories over time on a category-map. This is a form of emergent computing.


<h2>The Role and Evolution of QAT</h2>
===Implementation of QAT Data Structures===
The QAT uses three lists to support its 'gather method':


<h3>The QAT in the 911 Response Era</h3>
'''*UniqueList-A:''' A list of the unique values within the sample block from a data stream of channel-A.
<p>With contributions nationally, during the 911 response era, aiding in the global cause were the data structures of the QAT visual abstraction, navigable with event chemistry, providing access back to the source-moment of any categorical trend, and as such was the purpose of domestic surveillance.</p>


<h3>The Creation of Ontological Access</h3>
'''*UniqueList-B:''' A similar list for channel-B.
<p>In this notational paradigm of measurement and category frequency trending, the data is a recording and remains immutable. A binary tree implementation for data access has no need to balance an immutable log.  A delete function for a tree node isn't needed.</p>


<h3>Visual Abstraction of Relationships</h3>
'''*ExpandedList-A:''' A list of all the combinations that can be expanded from the <b><big>UniqueList-A</big></b>.
<p>Two measurement channels provide one QAT dimension of analysis providing visual abstraction of relationships in the cross-comparison. This occurs by randomly scattering onto a visual map the set of points representing all existing pairs within dual channels of measurement in the data ontology widget. The gather process accesses the proportionality map to animate the category-mapping- wherein this is a visual abstraction of dynamic relationships translated to a stratification of motions within the category-scatter-map.</p>


<h2>Applications and Future Directions of QAT</h2>
Two additional lists are used in the 'eventChemistry methods':


<h3>Existing and Potential Applications</h3>
'''4. Link Index List by Atom:''' An index per each unique category value within the channel-A data sample block.
<p>The outcome of the paradigm rendered to notation is a binary-tree/linked-list data widget where all members of a category value are linked as a chain, as category-member-chains attached to each binary tree node.</p>


<h3>Conclusion</h3>
'''5. Atom Index list by Link:''' An identical index treatment, but for Channel-B.
<p>The binary-tree nodes each have a chain of equivalent values indexed in natural order as a linked list. The fully structured data widget affords any data by relational-path-access, including lower_category, higher_category, next_member, previous_member, with all index values anywhere within the structure also indicating relative age by natural order.</p>


<h3>Future Work</h3>
In 2001, a human operated these systems. However, in 2024, machine intelligence can operate them.
<p>With structured historical data access of a measured channel, a second structure is referenced holding a second channel of measurements. These two structures provide the prismatic affordance of the proportionality map of their implicit relational dynamics across a sampling of events within a time line.</p>


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===Simplification===
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An optimal solution for big data information access is for the data to be loaded once, never moved, indexed in place, and structured in place for binary-tree access. The QAT foundation lists of Atoms and Links are afforded by the binary tree, which is a linking-structure of categories of values, as sampled from a data stream.
 
The array-based binary-tree / linked-list hybrid
This structure is supported by an array of integers, with one integer pointing to the data, and four more integers pointing to data elements earlier in the data sample.
 
By using this hybrid structure, all the tables of the formal QAT solution are accessible directly, or from a cached table directly built from this fast, hybrid solution.
 
===Conclusion===
Two measurement channels provide one QAT dimension of analysis, providing a visual abstraction of relationships in the cross-comparison. By randomly scattering points representing all existing pairs within dual channels of measurement on a visual map, we can animate the category mapping and gain insights into the dynamics of the data.
 
 
'''Note:''' this simplified version doesn't include all of the in-depth technical details, templates, images, or styling present in the original wikitext document, but it should give you a general understanding of the content. If you need a detailed analysis of a specific part, please let me know!
 
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;A ChatGPT 4.0 simplification of grammar
[[User:XenoEngineer|XenoEngineer]] ([[User talk:XenoEngineer|talk]]) 18:19, 25 July 2023 (UTC)
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;D R A F T&nbsp;&nbsp;&nbsp; D O C U M E N T
 
;A Dascient — groupKOS Collaborative
 
'''QuasiArtifactualIntelligence: Perception from the Edge'''
 
<div style="float:right;">
__TOC__
 
</div>
 
===Introduction===
 
The Quasi Axiomatic Theory (QAT) was conceived as a big-data tool designed to discern significant events on the ever expanding  edge of the world-corpus: Cyberspace: 2000. It functions as a category theory, a means of systematically organizing and classifying data, that can isolate trends and detect waves of change in large data samples.
 
===The Architecture of the QAT Algorithms===
 
The QAT uses algorithms to offer a form of 'categorical abstraction,' visual maps of data, and 'eventChemistry,' a method of exploring categories. With these algorithms, machine learning can be integrated into the quasi-axiomatic analysis loop, enabling an AI-in-training to witness the quasi-artifact of measured reality.
 
===QAT Theory in Principle of Emergent Processing of Causal Artifact within Chaos===
 
QAT is essentially a map-maker. It uses a group-motion on two random points on the map in each iteration. This 'grouping' is the 'emergence' in this implementation of emergent computing.
 
===Implementation of QAT Data Structures===
 
The data structures needed to produce emergent processing of the QAT are relatively simple and include three lists: UniqueList-A, UniqueList-B, and ExpandedList-A. In addition, the eventChemistry methods operate with two more lists: Link Index-List by Atom and Atom Index-list by Link.
 
===Simplification===
 
In an optimal solution for big data information access, the data is loaded once, never moved, indexed in place, and structured in place for binary-tree access. This solution slows down very little even with vast data sampling sets, making it highly scalable.
 
===Future Development Notes===
 
Two measurement channels provide one QAT dimension of analysis: QAT.I-RIB, offering a visual abstraction of relationships in the cross-comparison. This happens by randomly scattering onto a visual map the set of points representing all existing pairs within dual channels of measurement in the data ontology widget.
 
'''Note:''' This draft focused on improving grammar, style, and readability. As a technical document, it would also benefit from including diagrams or figures to help illustrate complex concepts or processes.
 
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Latest revision as of 17:28, 26 July 2023

DRAFT DOCUMENT
This document discusses the development of the 911 era category theory as a quasi-relational perceptive envelope for machine learning and control.

Introduction

The Quasi Axiomatic Theory (QAT) was developed as a big-data tool to discover significant events in cyberspace. By using a sampling of the world corpus, the QAT can isolate category trends and waves of change in large data samples by examining internet router logs.

This process was implemented as an in-memory data engine which enabled the discovery of category-frequency-trends. From this, the cause of the change-wave may be reverse-searched from category to data-event.

The QAT allows for a perception of relational dynamics. It can enable AI in training to witness the quasi-artifact of measured reality.

The Architecture of the QAT Algorithms

The QAT algorithms use a method called Categorical abstraction, which produces a visual map of data trends. This is achieved by taking two points and moving them slightly closer together on the map. Over time, this produces a clustering of categories on the map.

A second technique used by the QAT is Event Chemistry. This method allows the user to explore interesting groups of categories within the data-stream that have been isolated by Category Abstraction mapping.

QAT Theory in principle of emergent processing of causal artifact within chaos

The QAT is a map maker. It uses a method called 'tweening' to group categories over time on a category-map. This is a form of emergent computing.

Implementation of QAT Data Structures

The QAT uses three lists to support its 'gather method':

*UniqueList-A: A list of the unique values within the sample block from a data stream of channel-A.

*UniqueList-B: A similar list for channel-B.

*ExpandedList-A: A list of all the combinations that can be expanded from the UniqueList-A.

Two additional lists are used in the 'eventChemistry methods':

4. Link Index List by Atom: An index per each unique category value within the channel-A data sample block.

5. Atom Index list by Link: An identical index treatment, but for Channel-B.

In 2001, a human operated these systems. However, in 2024, machine intelligence can operate them.

Simplification

An optimal solution for big data information access is for the data to be loaded once, never moved, indexed in place, and structured in place for binary-tree access. The QAT foundation lists of Atoms and Links are afforded by the binary tree, which is a linking-structure of categories of values, as sampled from a data stream.

The array-based binary-tree / linked-list hybrid This structure is supported by an array of integers, with one integer pointing to the data, and four more integers pointing to data elements earlier in the data sample.

By using this hybrid structure, all the tables of the formal QAT solution are accessible directly, or from a cached table directly built from this fast, hybrid solution.

Conclusion

Two measurement channels provide one QAT dimension of analysis, providing a visual abstraction of relationships in the cross-comparison. By randomly scattering points representing all existing pairs within dual channels of measurement on a visual map, we can animate the category mapping and gain insights into the dynamics of the data.


Note: this simplified version doesn't include all of the in-depth technical details, templates, images, or styling present in the original wikitext document, but it should give you a general understanding of the content. If you need a detailed analysis of a specific part, please let me know!


A ChatGPT 4.0 simplification of grammar

XenoEngineer (talk) 18:19, 25 July 2023 (UTC)


D R A F T    D O C U M E N T
A Dascient — groupKOS Collaborative

QuasiArtifactualIntelligence: Perception from the Edge

Introduction

The Quasi Axiomatic Theory (QAT) was conceived as a big-data tool designed to discern significant events on the ever expanding edge of the world-corpus: Cyberspace: 2000. It functions as a category theory, a means of systematically organizing and classifying data, that can isolate trends and detect waves of change in large data samples.

The Architecture of the QAT Algorithms

The QAT uses algorithms to offer a form of 'categorical abstraction,' visual maps of data, and 'eventChemistry,' a method of exploring categories. With these algorithms, machine learning can be integrated into the quasi-axiomatic analysis loop, enabling an AI-in-training to witness the quasi-artifact of measured reality.

QAT Theory in Principle of Emergent Processing of Causal Artifact within Chaos

QAT is essentially a map-maker. It uses a group-motion on two random points on the map in each iteration. This 'grouping' is the 'emergence' in this implementation of emergent computing.

Implementation of QAT Data Structures

The data structures needed to produce emergent processing of the QAT are relatively simple and include three lists: UniqueList-A, UniqueList-B, and ExpandedList-A. In addition, the eventChemistry methods operate with two more lists: Link Index-List by Atom and Atom Index-list by Link.

Simplification

In an optimal solution for big data information access, the data is loaded once, never moved, indexed in place, and structured in place for binary-tree access. This solution slows down very little even with vast data sampling sets, making it highly scalable.

Future Development Notes

Two measurement channels provide one QAT dimension of analysis: QAT.I-RIB, offering a visual abstraction of relationships in the cross-comparison. This happens by randomly scattering onto a visual map the set of points representing all existing pairs within dual channels of measurement in the data ontology widget.

Note: This draft focused on improving grammar, style, and readability. As a technical document, it would also benefit from including diagrams or figures to help illustrate complex concepts or processes.