Lorenza Saitta, Jean-Daniel Zucker (auth.)'s Abstraction in artificial intelligence and complex systems PDF

By Lorenza Saitta, Jean-Daniel Zucker (auth.)

ISBN-10: 146147051X

ISBN-13: 9781461470519

ISBN-10: 1461470528

ISBN-13: 9781461470526

Abstraction is a primary mechanism underlying either human and synthetic notion, illustration of information, reasoning and studying. This mechanism performs an important function in lots of disciplines, significantly machine Programming, common and synthetic imaginative and prescient, complicated platforms, man made Intelligence and desktop studying, paintings, and Cognitive Sciences. This publication first offers the reader with an outline of the notions of abstraction proposed in a number of disciplines via evaluating either commonalities and alterations. After discussing the characterizing houses of abstraction, a proper version, the KRA version, is gifted to catch them. This version makes the concept of abstraction simply appropriate via the advent of a suite of abstraction operators and abstraction styles, reusable throughout diversified domain names and functions. it's the influence of abstraction in synthetic Intelligence, complicated structures and computing device studying which creates the center of the booklet. A common framework, in line with the KRA version, is gifted, and its pragmatic strength is illustrated with 3 case reports: Model-based prognosis, Cartographic Generalization, and studying Hierarchical Hidden Markov Models.

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4 K. Malevich’s Portrait of Ivan Klioune (1911). The State Russian Museum, St. Petersburg [A color version of this figure is reported in Fig. H3 of Appendix H] In Fig. 5 an even more abstract painting, by the contemporary French painter Pierre Soulages, is reported. He says: “J’aime l’autorit e´ du noir. C’est une couleur qui ne transige pas. Une couleur violente mais qui incite pourtant a` l’int eriorisation. ´ A la fois couleur et non-couleur. Quand la lumiere ` s’y refl ete, ` il la transforme, la transmute.

Abstraction principles are linguistically represented by introducing a “term-forming” operator Φ(P), which stands for the possibly complex predicate expression P. ” By looking at the history of Mathematics, Ferrari acknowledges that abstract objects have been characterized by a certain degree of both generalization and decontextualization. However, he points out that maybe their primary role is in creating new concepts, when, specifically, a (possibly complex) process or relation are reinterpreted as (possibly simpler) objects, as in Antonelli’s approach [19, 20].

This intrinsic abstractness actually proves to be an obstacle for students learning how to make mathematical proofs [151]. Inside the generic abstractness of Mathematics, specific theories of abstraction have been proposed, which have also generated hot debates. One which deserves to be mentioned saw Frege [181] launching a nasty attack to Husserl’s book Philosophy of Arithmetic [268], which proposed a theory of number abstraction, and included, in turn, a critic to Aristotle’s and Locke’s views on the subject.

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Abstraction in artificial intelligence and complex systems by Lorenza Saitta, Jean-Daniel Zucker (auth.)

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