RELATIVISTIC CONCEPT MEASURING SYSTEM FOR DATA CLUSTERING
First Claim
1. A method for mapping concepts and attributes to distance fields via rvachev-functions implemented using a computer having a microprocessor, comprising:
- generating, using the microprocessor and for each object of a plurality of objects, equations representing boundaries of attributes for each respective object;
converting, using the microprocessor and for each object of a plurality of objects, the equations into greater than or equal to zero type inequalities;
generating, using the microprocessor and for each object of a plurality of objects, a logical expression combining regions of space defined by the inequalities into a semantic entity;
substituting, using the microprocessor and for each object of a plurality of objects, the logical expression with a corresponding rvachev-function such that the resulting rvachev-function is equal to 0 on a boundary of the semantic entity, greater then 0 inside a region of the semantic entity, and less then 0 outside the region of the semantic entity;
generating, using the microprocessor, a composite rvachev-function representing logical statements corresponding to the plurality of objects using the respective rvachev-functions of the objects.
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Abstract
A method and apparatus for mapping concepts and attributes to distance fields via rvachev-functions. The steps including generating, for a plurality of objects, equations representing boundaries of attributes for each respective object, converting, for a plurality of objects, the equations into greater than or equal to zero type inequalities, generating, for a plurality of objects, a logical expression combining regions of space defined by the inequalities into a semantic entity, and substituting, for a plurality of objects, the logical expression with a corresponding rvachev-function such that the resulting rvachev-function is equal to 0 on a boundary of the semantic entity, greater then 0 inside a region of the semantic entity, and less then 0 outside the region of the semantic entity. Also included is the step of generating a composite rvachev-function representing logical statements corresponding to the plurality of objects using the respective rvachev-functions of the objects.
61 Citations
1 Claim
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1. A method for mapping concepts and attributes to distance fields via rvachev-functions implemented using a computer having a microprocessor, comprising:
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generating, using the microprocessor and for each object of a plurality of objects, equations representing boundaries of attributes for each respective object; converting, using the microprocessor and for each object of a plurality of objects, the equations into greater than or equal to zero type inequalities; generating, using the microprocessor and for each object of a plurality of objects, a logical expression combining regions of space defined by the inequalities into a semantic entity; substituting, using the microprocessor and for each object of a plurality of objects, the logical expression with a corresponding rvachev-function such that the resulting rvachev-function is equal to 0 on a boundary of the semantic entity, greater then 0 inside a region of the semantic entity, and less then 0 outside the region of the semantic entity; generating, using the microprocessor, a composite rvachev-function representing logical statements corresponding to the plurality of objects using the respective rvachev-functions of the objects.
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Specification