Sammut, Claude; Webb, Geoffrey I. (Eds.)

Encyclopedia of Machine Learning

Version: print (book)
2010, Approx. 1000 p., Hardcover
ISBN: 978-0-387-30768-8
Due: September 2010

About this encyclopedia


The only reference work on Machine Learning currently in publication
Comprehensive A-Z coverage of this complex subject area makes for easy accessibility
Benefits professionals, students and researchers in computer science, artificial intelligence and related fields

This comprehensive encyclopedia, in A-Z format, provides easy access to relevant information for those seeking entry into any aspect within the broad field of Machine Learning. Most of the several hundred entries in this pre-eminent work include useful literature references, providing the reader with a portal to more detailed information on any given topic.

Topics for the "Encyclopedia of Machine Learning" were selected by a distinguished international advisory board. Each peer-reviewed, highly-structured entry includes a definition, key words, an illustration, applications, a bibliography, and links to related literature.

The style of the entries in the "Encyclopedia of Machine Learning" is expository and tutorial. This makes the book a practical resource for high-performance computing experts, as well as professionals in other fields, who need to access this vital information but may not have the time to work their way through an entire text on their topic of interest.

Written for:

Research scientists, professors, and graduate-level students in machine learning, industry practitioners

Table of contents

Active Learning.- Adaptive Systems.- Applications.- Artificial Neural Network.- Behavioral Cloning.- Clustering.- Computational Learning Theory.- Data Mining.- Dimensionality.- Evolutionary Computation.- Explanation-based Learning.- Graph Mining.- Inductive Logic Programming.- Information Theory.- Instance-based Learning.- Learning and logic.- Learning Paradigms.- Machine Learning in Bioinformatics.- Meta-Learning.- Model-based Reinforcement Learning.- Policy Search and Active Selection.- Qualitative Reasoning.- Query-Based Learning.- Reinforcement Learning.- ROC analysis.- Rule Learning.- Search.- Statistical Language Learning.- Statistical Machine Learning.- Text Mining.- Theory.- Time Series.- Weka.

Sabadini, Irene; Sommen, Frank (Eds.)

Hypercomplex Analysis and Applications

Series: Trends in Mathematics
2011, Approx. 350 p., Hardcover
ISBN: 978-3-0346-0245-7
Due: February 2011

About this book

Purpose of the book is to give an overview of recent results and developments in hypercomplex analysis. The source of this overview will be given by the participants to the 7th ISAAC Conference. The topic covered will vary from the study of monogenic functions, its generalisations to higher spin such as the Rarita-Schwinger system, Clifford analysis on superspace, Clifford-Radon and Fourier transforms, discrete Clifford analysis (see the list of abstract). The list of speakers includes several first rate mathematicians and several young researchers working on several different aspects in quaternionic and Clifford analysis. Besides original research papers, we would call for very well written expository papers whose purpose would be a state-of-art of a specific topic in quaternion or Clifford analysis, possibly also containing interdisciplinary connections. The intended audience includes researchers in various areas of mathematical analysis in very wide meaning of the term.

Written for:

1) Researchers in various areas of mathematical analysis in very wide meaning of the term: one and several complex variables; PDE; hypercomplex analysis; operator theory; theoretical and mathematical physics

2) Postgraduate students in those areas.

Gass, Saul I.; Fu, Michael C. (Eds.)

Encyclopedia of Operations Research and Management Science, 3rd ed.
Centennial Edition

Version: print (book)
2011, Approx. 1250 p. In 2 volumes, not available separately., Hardcover
ISBN: 978-1-4419-1137-7
Due: October 2011

About this encyclopedia

The Encyclopedia aims to provide decision-makers in the OR field with a comprehensive overview of the range of ideas and forces that combine in the fields of operations research and management science.

New entry topics for the 3rd edition, include the following, yield management, flexible queuing systems, service mangement, local search, tolerance sensitivity analysis, influence diagrams, knowledge management, strategy and policy making, school districting, computational biology, lagrangian relaxation, closed-loop supply chain, sensitivity analysis, bioinformatics, rendevous search, ant search algorithms, agriculture and forestry resources, and many othersc

Among the topics treated in the 2nd edition that will be revisited in the 3rd edition are:

analytic network process, call centers, certainty equivalence, comb. optimization by simulated ce, computational organization, constraint programming, data mining, degeneracy graphs, economic order q extensions, educational issues in b-schools, electronic commerce, financial markets, global climate change, hidden markov models, history of early british or, implementation for public sector, info tech benefits, interactive multi-objective math. programming, knapsacks with nonlinearities, little's law in distribution form, military ops other than war, multivariate quality control, perturbation analysis, simulation metamodeling, simulation optimization, supply chain management, theory of constraints, timetabling.

Written for:

Professional decision-makers with varying educational and skill backgrounds (from undergraduate students to PhDs), all research libraries in OR/MS

Contents

edited by Yisong Yang (Polytechnic Institute of New York University, USA) , Xinchu Fu (Shanghai University, China) , & Jinqiao Duan (Illinois Institute of Technology, USA)

PERSPECTIVES IN MATHEMATICAL SCIENCES

Mathematical sciences have been playing an increasingly important role in modern society. They are in high demand for investigating complex problems in physical science, environmental and geophysical sciences, materials science, life science and chemical sciences.

This is a review volume on some timely and interesting topics in applied mathematical sciences. It surveys new developments and presents some future research directions in these topics. The chapters are written by experts in these fields, with a wide audience in mind and hence will be accessible to graduate students, junior researchers and other professionals who are interested in the subjects. The contributions of Professor Youzhong Guo, a leading expert in these areas, will be celebrated. His life and academic achievements are highlighted in the Preface and Postscript of the book. The underlying theme that binds the various chapters seamlessly is a set of dedicated ideas and techniques from partial differential equations and dynamical systems.

Contents:

Bifurcation Analysis of the Swift?Hohenberg Equation
Canonical Sample Spaces for Random Dynamical Systems
Lattice Boltzmann Simulation of Nonlinear Schrodinger Equation
Perspectives in Nonlinear Dynamics
Subharmonic Bifurcation and Chaos for MEMs Models
Exponential Stability of Nonlocal Time-Delayed Burgers Equation
Mathematical Modeling in Traffic Flow Research
Spreading Dynamics on Complex Networks
Chaotic Dynamics for the Two-Component Bose?Einstein Condensate System
Harmonic Representation of Topological Classes
Nonlinear Analysis of Problems in Cold Plasma Physics
Yang?Mills Instantons and Gravitation

Readership:

Researchers and students in mathematics, professionals in science and engineering who are interested in mathematical modeling, mathematical physics, applications of nonlinear partial differential equations, differential geometry, and topology.

372pp (approx.) Pub. date: Scheduled Spring 2010
ISBN: 978-981-4289-30-6


Tsutomu Kambe (Institute of Dynamical Systems, Japan)

GEOMETRICAL THEORY OF DYNAMICAL SYSTEMS AND FLUID FLOWS
Revised Edition

This is an introductory textbook on the geometrical theory of dynamical systems, fluid flows and certain integrable systems. The topics are interdisciplinary and extend from mathematics, mechanics and physics to mechanical engineering, and the approach is very fundamental. The main theme of this book is a unified formulation to understand dynamical evolutions of physical systems within mathematical ideas of Riemannian geometry and Lie groups by using well-known examples. Underlying mathematical concepts include transformation invariance, covariant derivative, geodesic equation and curvature tensors on the basis of differential geometry, theory of Lie groups and integrability. These mathematical theories are applied to physical systems such as free rotation of a top, surface wave of shallow water, action principle in mechanics, diffeomorphic flow of fluids, vortex motions and some integrable systems.

In the latest edition, a new formulation of fluid flows is also presented in a unified fashion on the basis of the gauge principle of theoretical physics and principle of least action along with new type of Lagrangians. A great deal of effort has been directed toward making the description elementary, clear and concise, to provide beginners easy access to the topics.

Contents:

Mathematical Bases:
Manifolds, Flows, Lie Groups and Lie Algebras
Geometry of Surfaces in R3
Riemannian Geometry
Dynamical Systems:
Free Rotation of a Rigid Body
Water Waves and KdV Equation
Hamiltonian Systems:
Chaos, Integrability and Phase Transition
Flows of Ideal Fluids:
Gauge Principle and Variational Formulation of Fluid Flows
Volume-Preserving Flows of an Ideal Fluid
Motion of Vortex Filaments
Geometry of Integrable Systems:
Geometric Interpretations of Sine-Gordon Equation
Integrable Surfaces:
Riemannian Geometry and Group Theory

Readership:

Advanced undergraduates and graduate students in physics, researchers in mathematics, mechanics and physics, and mechanical engineers.

500pp (approx.) Pub. date: Scheduled Winter 2009
ISBN: 978-981-4282-24-6

Weisheng Qiu (Peking University, China)

DIFFERENCE SETS AND THEIR APPLICATIONS

This book introduces the recent progress on the multiplier conjecture, prime power conjecture, Lander conjecture; including the author's and his graduate student T Feng's work on the multiplier conjecture. It provides a sufficiently broad introduction to algebraic approach for studying difference sets, including group ring, representation theory of finite groups, cyclotomic fields, etc. It also introduces the intricate relationships between difference sets and cryptography, for example, quasi-perfect sequences and cyclic (4n-1, 2n-1, n-1)- difference sets, bent functions and Hadamard difference sets, perfect nonlinear maps and semiregular relative difference sets.

Contents:

Stream Cipher and Difference Sets
Symmetric Designs and Difference Sets
Algebraic Approach for Studying Difference Sets
Multipliers and Multiplier Conjecture
Difference Sets with Singer Parameters
Paley-Hadamard Difference Sets
Skew Difference Sets
Planar Difference Sets
Prime Power Conjecture
Lander Conjecture
Bent Functions and Hadamard Difference Sets
The other Difference Sets with gcd(v,n)>1. Schmidt's Exponent Bound
Perfect Nonlinear Maps for Preventing Differential Cryptanalysis
Relative Difference Sets

Readership:

Advanced undergraduates and graduate students in mathematics; researchers interested in the difference sets, cryptography.

300pp (approx.) Pub. date: Scheduled Winter 2010
ISBN: 978-981-4280-76-1


Richard H Cushman (University of Calgary, Canada) , Jedrzej Sniatycki (University of Calgary, Canada) , & Hans Duistermaat (University of Utrecht, The Netherlands)

GEOMETRY OF NONHOLONOMICALLY CONSTRAINED SYSTEMS

This book gives a modern differential geometric treatment of linearly nonholonomically constrained systems. It discusses in detail what is meant by symmetry of such a system and gives a general theory of how to reduce such a symmetry using the concept of a differential space and the almost Poisson bracket structure of its algebra of smooth functions. The above theory is applied to the concrete example of Caratheodory's sleigh and the convex rolling rigid body. The qualitative behavior of the motion of the rolling disk is treated exhaustively and in detail. In particular, it classifies all motions of the disk, including those where the disk falls flat and those where it nearly falls flat.

The geometric techniques described in this book for symmetry reduction have not appeared in any book before. Nor has the detailed description of the motion of the rolling disk. In this respect, the authors are trail-blazers in their respective fields.

Contents:

Nonholonomically Constrained Motions
Group Actions and Orbit Spaces
Symmetry and Reduction
Reconstruction, Relative Equilibria and Periodic Orbits
Caratheodory's Sleigh
Convex Rolling Rigid Body
The Rolling Disk

Readership:

Graduate students in mathematics and mechanical engineering and researchers in dynamical systems.

420pp (approx.) Pub. date: Scheduled Winter 2009
ISBN: 978-981-4289-48-1