Geometry and Meaning

Dominic Widdows

320 pages, parution le 14/12/2003

Ajouter à une liste

Indisponible

Résumé

From the earliest applications in astronomy, music, and biology, to the design of today's user interfaces and search engines, geometric insights have provided powerful tools and accurate scientific predictions. In Geometry and Meaning, these threads are gathered together and told as a single evolving story. Mathematical models from ancient times to the present are described for the general reader, together with the stories behind their discovery, and their applications in the new and vibrant field of natural language processing.

As well as a historical survey, Geometry and Meaning presents startling new research to the scientific public for the first time. Computers can now learn about the meaning of a word just by reading everyday documents, even recognizing ambiguity and idiom. The logic used to explore the meanings of an ambiguous word depends on whether the underlying spatial model is continuous or discrete, and this relates the design of search engines to one of today's great scientific mysteries - the relationship between classical physics and quantum mechanics. In a surprising conclusion, Aristotle, long thought of as a great scientist and philosopher but a poor mathematician, shines through as the unlikely hero of modern geometry.

L'auteur - Dominic Widdows

Dominic Widdows received his doctorate in differential geometry from Oxford in 2OOO, after which he spent 3 years as a Senior Researcher at Stanford University's Center for the Study of Language and Information. He is now a Senior Research Engineer working for MAYA Design in Pittsburgh, Pennsylvania.

Sommaire

Foreword
Introduction
Geometry, Numbers and Sets
The Graph Model: Networks of Concepts
The Vertical Direction: Concept Hierarchies
Measuring Similarity and Distance
Word-Vectors and Search Engines
Exploring Vector Spaces in One and More Languages
Logic with Vectors: Ambiguous Words and Quantum States
Concept Lattices: Binding Everything Loosely Together
Conclusions and Curtain Call
References
Index

Voir tout

Replier

Caractéristiques techniques

	PAPIER
Éditeur(s)	CSLI
Auteur(s)	Dominic Widdows
Parution	14/12/2003
Nb. de pages	320
Format	15 x 22,5
Couverture	Broché
Poids	463g
Intérieur	Noir et Blanc
EAN13	9781575864488
ISBN13	978-1-575-86448-8