TP-RotatE: A knowledge graph representation learning method combining path information and rules to capture complex relational patterns. [PDF]
Liu X, Shi Y, Xu Y, Ren Y.
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An algebraic approach for granularity in qualitative time and space representation
Jérôme Euzenat
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On the Meaning of Local Symmetries: Epistemic-ontological Dialectics. [PDF]
François J, Ravera L.
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Can Generative AI and ChatGPT Break Human Supremacy in Mathematics and Reshape Competence in Cognitive-Demanding Problem-Solving Tasks? [PDF]
Kaya D, Yavuz S.
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Learning Algebraic Representation for Systematic Generalization in Abstract Reasoning
European Conference on Computer Vision, 2021Is intelligence realized by connectionist or classicist? While connectionist approaches have achieved superhuman performance, there has been growing evidence that such task-specific superiority is particularly fragile in systematic generalization.
Chi Zhang+5 more
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Image algebra representation of parallel optical binary arithmetic.
Applied Optics, 1989A binary image algebra (BIA) that gives a mathematical description of parallel processing operations is described. Rigorous and concise BIA representations of parallel arithmetic and symbolic substitution operations are given.
Kung-Shiuh Huang+2 more
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A multiplier algebra representation with application to harmonic signal models
, 2012This paper aims to develop mixed models and new methods of estimation in the context of mono and multidimensional data, the intersection of contexts 1-D and multi-D and also the intersection of harmonic and stochastic type modeling.
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Local algebras in the representation of MV-algebras [PDF]
In this paper we present several results about local MV-algebras, extending existing results given for MV-chains. The role of local MV-algebras in sheaf representation and weak boolean product is stressed and the relationship of local MV-algebras with varieties of MV-algebras is analyzed.
DI NOLA, Antonio, ESPOSITO I, GERLA B.
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Operational Axioms for C*‐algebra Representation of Transformations
, 2007It is shown how a C*-algebra representation of the transformations of a physical system can be derived from two operational postulates: 1) the existence of dynamically independent systems; 2) the existence of symmetric faithful states.
G. D’Ariano
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