Perception-Based Granularity Levels in Concept Representation

In this paper we propose a perception-based view of abstraction, which originates from the observation that conceptualization of a domain involves entities belonging to several episteological levels. The fundamental level corresponds to the preception of a world. For memorization purposes, some kind of structure is needed, in order to organize objects and relations perceived in the world into coherent ensembles. To communicate with others, a language must be invented, and, finally, a theory makes it possible to reason about the world. After invented, suitable properties abstraction should have to be useful for concept representation, examples of abstraction operators, designed to perform the abstraction process in practice, will be introduced.

[1]  Z. Pawlak Rough Sets: Theoretical Aspects of Reasoning about Data , 1991 .

[2]  Josh D. Tenenberg Preserving Consistency Across Abstraction Mappings , 1987, IJCAI.

[3]  Ming Li,et al.  An Introduction to Kolmogorov Complexity and Its Applications , 2019, Texts in Computer Science.

[4]  Tomasz Imielinski Domain Abstraction and Limited Reasoning , 1987, IJCAI.

[5]  P. Pandurang Nayak,et al.  A Semantic Theory of Abstractions , 1995, IJCAI.

[6]  Lorenza Saitta,et al.  Abstracting Concepts with Inverse Resolution , 1991, ML.

[7]  Thomas Ellman Synthesis of Abstraction Hierarchies for Constraint Satisfaction by Clustering Approximately Equivalent Objects , 1993, ICML.

[8]  David A. Plaisted,et al.  Theorem Proving with Abstraction , 1981, Artif. Intell..

[9]  Robert L. Goldstone,et al.  Reuniting perception and conception , 1998, Cognition.

[10]  Earl D. Sacerdott Planning in a hierarchy of abstraction spaces , 1973, IJCAI 1973.

[11]  Jean-Gabriel Ganascia,et al.  Representation Changes for Efficient Learning in Structural Domains , 1996, ICML.

[12]  Devika Subramanian,et al.  A Theory of Justified Reformulations , 1989, ML.

[13]  D. Benjamin Change of Representation and Inductive Bias , 1989 .

[14]  Jeffrey D. Ullman,et al.  Principles of Database Systems , 1980 .

[15]  Dirk van Dalen,et al.  Logic and structure , 1980 .

[16]  Russell Greiner,et al.  The Relevance of Relevance (Editorial) , 1997, Artif. Intell..

[17]  Richard E. Korf,et al.  Toward a Model of Representation Changes , 1980, Artif. Intell..

[18]  Yumi Iwasaki,et al.  Reasoning with multiple abstraction models , 1993 .

[19]  Fausto Giunchiglia,et al.  A Theory of Abstraction , 1992, Artif. Intell..

[20]  Michael R. Lowry The Abstraction/Implementation Model of Problem Reformulation , 1987, IJCAI.

[21]  Robert C. Holte,et al.  Speeding up Problem Solving by Abstraction: A Graph Oriented Approach , 1996, Artif. Intell..

[22]  Walter F. Bischof,et al.  Methods of heuristics , 1983 .