Similarity

Similarity
Author: Anil Bhatti
Publisher:
Total Pages: 372
Release: 2018
Genre: Identity (Philosophical concept)
ISBN: 9789382381969

Papers presented in three conferences, supported by the Fritz Thyssen Foundation, the Excellence Cluster 16: 'Cultural Foundation of Integration' at the University of Konstanz, and the Institute of German Studies and the Forum Scientairum at the Univesity of Tubingen.

Long-Range Dependence and Self-Similarity

Long-Range Dependence and Self-Similarity
Author: Vladas Pipiras
Publisher: Cambridge University Press
Total Pages: 693
Release: 2017-04-18
Genre: Business & Economics
ISBN: 1107039460

A modern and rigorous introduction to long-range dependence and self-similarity, complemented by numerous more specialized up-to-date topics in this research area.

Semantic Similarity from Natural Language and Ontology Analysis

Semantic Similarity from Natural Language and Ontology Analysis
Author: Sébastien Harispe
Publisher: Morgan & Claypool Publishers
Total Pages: 256
Release: 2015-05-01
Genre: Computers
ISBN: 1627054472

Artificial Intelligence federates numerous scientific fields in the aim of developing machines able to assist human operators performing complex treatments---most of which demand high cognitive skills (e.g. learning or decision processes). Central to this quest is to give machines the ability to estimate the likeness or similarity between things in the way human beings estimate the similarity between stimuli. In this context, this book focuses on semantic measures: approaches designed for comparing semantic entities such as units of language, e.g. words, sentences, or concepts and instances defined into knowledge bases. The aim of these measures is to assess the similarity or relatedness of such semantic entities by taking into account their semantics, i.e. their meaning---intuitively, the words tea and coffee, which both refer to stimulating beverage, will be estimated to be more semantically similar than the words toffee (confection) and coffee, despite that the last pair has a higher syntactic similarity. The two state-of-the-art approaches for estimating and quantifying semantic similarities/relatedness of semantic entities are presented in detail: the first one relies on corpora analysis and is based on Natural Language Processing techniques and semantic models while the second is based on more or less formal, computer-readable and workable forms of knowledge such as semantic networks, thesauri or ontologies. Semantic measures are widely used today to compare units of language, concepts, instances or even resources indexed by them (e.g., documents, genes). They are central elements of a large variety of Natural Language Processing applications and knowledge-based treatments, and have therefore naturally been subject to intensive and interdisciplinary research efforts during last decades. Beyond a simple inventory and categorization of existing measures, the aim of this monograph is to convey novices as well as researchers of these domains toward a better understanding of semantic similarity estimation and more generally semantic measures. To this end, we propose an in-depth characterization of existing proposals by discussing their features, the assumptions on which they are based and empirical results regarding their performance in particular applications. By answering these questions and by providing a detailed discussion on the foundations of semantic measures, our aim is to give the reader key knowledge required to: (i) select the more relevant methods according to a particular usage context, (ii) understand the challenges offered to this field of study, (iii) distinguish room of improvements for state-of-the-art approaches and (iv) stimulate creativity toward the development of new approaches. In this aim, several definitions, theoretical and practical details, as well as concrete applications are presented

Basic Lessons On Isometries, Similarities And Inversions In The Euclidean Plane: A Synthetic Approach

Basic Lessons On Isometries, Similarities And Inversions In The Euclidean Plane: A Synthetic Approach
Author: Ioannis Markos Roussos
Publisher: World Scientific
Total Pages: 501
Release: 2021-09-03
Genre: Mathematics
ISBN: 9811239878

The aim of this book is to provide a complete synthetic exposition of plane isometries, similarities and inversions to readers who are interested in studying, teaching, and using this material.The topics developed in this book can provide new proofs and solutions to many results and problems of classical geometry, which are presented with different proofs in the literature. Their applications are numerous and some, such as the Steiner Chains and Point, are useful to engineers.The book contains many good examples, important applications and numerous exercises of various level and difficulty, which are classified in the three groups of: general exercises, geometrical constructions, and geometrical loci. Some lengthy exercises or groups of related exercises can be viewed as projects. On the basis of the above, this book, besides Classical Geometry, is an important addition to Mathematics Education.

Similarity Problems and Completely Bounded Maps

Similarity Problems and Completely Bounded Maps
Author: Gilles Pisier
Publisher: Springer
Total Pages: 210
Release: 2004-10-12
Genre: Mathematics
ISBN: 3540445633

These notes revolve around three similarity problems, appearing in three different contexts, but all dealing with the space B(H) of all bounded operators on a complex Hilbert space H. The first one deals with group representations, the second one with C* -algebras and the third one with the disc algebra. We describe them in detail in the introduction which follows. This volume is devoted to the background necessary to understand these three problems, to the solutions that are known in some special cases and to numerous related concepts, results, counterexamples or extensions which their investigation has generated. While the three problems seem different, it is possible to place them in a common framework using the key concept of "complete boundedness", which we present in detail. Using this notion, the three problems can all be formulated as asking whether "boundedness" implies "complete boundedness" for linear maps satisfying certain additional algebraic identities.

Simulation and Similarity

Simulation and Similarity
Author: Michael Weisberg
Publisher: OUP USA
Total Pages: 211
Release: 2013-02-14
Genre: Science
ISBN: 0199933669

This book is an account of modeling and idealization in modern scientific practice, focusing on concrete, mathematical, and computational models. The main topics of this book are the nature of models, the practice of modeling, and the nature of the relationship between models and real-world phenomena. In order to elucidate the model/world relationship, Weisberg develops a novel account of similarity called weighted feature matching.

Substantial Similarity in Copyright Law

Substantial Similarity in Copyright Law
Author: Robert C. Osterberg
Publisher: Practising Law Inst
Total Pages: 506
Release: 2003
Genre: Law
ISBN: 9781402403415

Substantial Similarity in Copyright Law lucidly examines the principal substantial similarity tests used by the various circuit courts to assess whether the copying of specific subject matter is sufficient to support a conclusion of copyright infringement.

Preference, Belief, and Similarity

Preference, Belief, and Similarity
Author: Amos Tversky
Publisher: MIT Press
Total Pages: 1046
Release: 2003-11-21
Genre: Psychology
ISBN: 9780262700931

Amos Tversky (1937–1996), a towering figure in cognitive and mathematical psychology, devoted his professional life to the study of similarity, judgment, and decision making. He had a unique ability to master the technicalities of normative ideals and then to intuit and demonstrate experimentally their systematic violation due to the vagaries and consequences of human information processing. He created new areas of study and helped transform disciplines as varied as economics, law, medicine, political science, philosophy, and statistics. This book collects forty of Tversky's articles, selected by him in collaboration with the editor during the last months of Tversky's life. It is divided into three sections: Similarity, Judgment, and Preferences. The Preferences section is subdivided into Probabilistic Models of Choice, Choice under Risk and Uncertainty, and Contingent Preferences. Included are several articles written with his frequent collaborator, Nobel Prize-winning economist Daniel Kahneman.

Similarities, Connections, and Systems

Similarities, Connections, and Systems
Author: Niraj Verma
Publisher: Lexington Books
Total Pages: 206
Release: 1998
Genre: Business & Economics
ISBN: 9780739100004

In this groundbreaking work, Niraj Verma goes beyond the criticism of rationality to present a bold alternative model of inquiry--a new rationality for the professions. Inspired by the work of pragmatist William Jones, Verma proposes a methodology that fuses the rational and the irrational to offer professionals an approach to inquiry that more completely examines the factors that impact the planning process in a practical, systematic way. The new rationlity is systemic and so values similarities more that differences, connectivity more that fungibility, and purposes and ends more that causes and mechanisms.