Variant Table Compression Using QF-Symbols and VDD Queries
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Solution Overview
Problem
Current systems for managing variant tables in mass customization face inefficiencies due to the inability to handle infinite sets, leading to scalability issues and inefficient compression techniques, particularly in handling quasi-finite sets and constraints.
Innovation Solution
The introduction of quasi-finite symbols (QF-symbols) that represent infinite sets, allowing for the use of specialization relations and variant decomposition diagrams (VDDs) to compress and query tabular constraints efficiently, enabling the handling of infinite domains within the tabular paradigm.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Adaptability or versatility
If traditional tabular structures are used to manage variant tables, then the system can handle finite sets of values, but it cannot efficiently handle infinite sets or quasi-finite sets, leading to scalability issues
Solution Approach 1:
The patent introduces QF-symbols that change the fundamental parameter of set finiteness from finite to quasi-finite/infinite. This allows the tabular structure to represent infinite domains (such as all possible strings, numbers, or geometric shapes) while maintaining the same basic table format, thus improving adaptability without significantly increasing system complexity
Solution Approach 2:
The patent uses VDDs as an intermediary layer between the traditional tabular structure and the infinite sets. The VDD compression technique acts as a mediator that enables the table to efficiently represent and query quasi-finite symbols by compressing redundant information while preserving the ability to handle infinite domains
2Reliability
If uncompressed variant tables are used, then all possible combinations of features can be explicitly stored, but the tables become difficult to work with and breach the limits of spreadsheet programs
Solution Approach 1:
The patent segments the uncompressed variant table into a compressed representation using VDDs. Instead of storing every possible combination explicitly, the table is segmented into a hierarchical structure where common patterns are shared and only variations are explicitly stored, making the data manageable while preserving completeness
Solution Approach 2:
The patent uses symbolic representation where QF-symbols act as copies or references to infinite sets rather than storing actual instances. This allows the system to reference unlimited combinations through compact symbolic representations, improving usability while maintaining data completeness through the ability to expand symbols when needed
3Quantity of substance
If current compression techniques (MDDs and ZDDs) are used, then some space reduction is achieved, but they are not efficient enough for handling quasi-finite sets and tabular constraints in mass customization
Solution Approach 1:
The patent changes the parameter of compression efficiency by introducing VDDs specifically designed for variant tables with quasi-finite symbols. Unlike MDDs and ZDDs that are optimized for binary decisions, VDDs are parameterized to handle multi-valued attributes and constraints common in mass customization, achieving better compression ratios and query performance
Solution Approach 2:
The patent introduces dynamic constraint processing capabilities into the compression scheme. The VDD structure allows constraints to be dynamically applied and propagated during query operations, enabling the system to adaptively compress and query data based on the specific requirements of mass customization scenarios, thereby improving both storage efficiency and computational productivity
Data Source
AI summary
A system for increasing computing efficiency is disclosed. The system includes a memory that stores at least one tabular constraint. The tabular constraint contains a finite array of symbols, with each symbol representing a value thereby creating a relational symbol (r-symbol), or a potentially infinite set of values, with such a symbol thereby creating a quasi-finite symbol (QF-symbol). The system includes a program configured to compress and to query the tabular constraint.