Tags
Language
Tags
March 2024
Su Mo Tu We Th Fr Sa
25 26 27 28 29 1 2
3 4 5 6 7 8 9
10 11 12 13 14 15 16
17 18 19 20 21 22 23
24 25 26 27 28 29 30
31 1 2 3 4 5 6

Nigel J. Kalton Selecta: Volume 2 (Repost)

Posted By: AvaxGenius
Nigel J. Kalton Selecta: Volume 2 (Repost)

Nigel J. Kalton Selecta: Volume 2 by Fritz Gesztesy, Gilles Godefroy, Loukas Grafakos, Igor Verbitsky
English | PDF (True | 2016 | 778 Pages | ISBN : 3319187988 | 262.5 MB

This is the second part of a two volume anthology comprising a selection of 49 articles that illustrate the depth, breadth and scope of Nigel Kalton’s research. Each article is accompanied by comments from an expert on the respective topic, which serves to situate the article in its proper context, to successfully link past, present and hopefully future developments of the theory and to help readers grasp the extent of Kalton’s accomplishments. Kalton’s work represents a bridge to the mathematics of tomorrow, and this book will help readers to cross it.

Machine Learning and Knowledge Discovery in Databases. Research Track (Repost)

Posted By: AvaxGenius
Machine Learning and Knowledge Discovery in Databases. Research Track (Repost)

Machine Learning and Knowledge Discovery in Databases. Research Track: European Conference, ECML PKDD 2021, Bilbao, Spain, September 13–17, 2021, Proceedings, Part III by Nuria Oliver
English | EPUB | 2021 | 857 Pages | ISBN : 3030865223 | 121 MB

The multi-volume set LNAI 12975 until 12979 constitutes the refereed proceedings of the European Conference on Machine Learning and Knowledge Discovery in Databases, ECML PKDD 2021, which was held during September 13-17, 2021. The conference was originally planned to take place in Bilbao, Spain, but changed to an online event due to the COVID-19 pandemic.

Computational Intelligence in Games

Posted By: AvaxGenius
Computational Intelligence in Games

Computational Intelligence in Games by Norio Baba, Lakhmi C. Jain
English | PDF | 2001 | 171 Pages | ISBN : 3790813486 | 13.7 MB

The most powerful computers in the world are not only used for scientific research, defence, and business, but also in game playing. Computer games are a multi-billion dollar industry. Recent advances in computational intelligence paradigms have generated tremendous interest among researchers in the theory and implementation of games. Game theory is a branch of operational research dealing with decision theory in a competitive situation. Game theory involves the mathematical calculations and heuristics to optimize the efficient lines of play. This book presents a sample of the most recent research on the application of computational intelligence techniques in games.

The Nature of Statistical Learning Theory

Posted By: AvaxGenius
The Nature of Statistical Learning Theory

The Nature of Statistical Learning Theory by Vladimir N. Vapnik
English | PDF | 2000 | 324 Pages | ISBN : 0387987800 | 22.6 MB

The aim of this book is to discuss the fundamental ideas which lie behind the statistical theory of learning and generalization. It considers learning as a general problem of function estimation based on empirical data. Omitting proofs and technical details, the author concentrates on discussing the main results of learning theory and their connections to fundamental problems in statistics. These include: * the setting of learning problems based on the model of minimizing the risk functional from empirical data * a comprehensive analysis of the empirical risk minimization principle including necessary and sufficient conditions for its consistency * non-asymptotic bounds for the risk achieved using the empirical risk minimization principle * principles for controlling the generalization ability of learning machines using small sample sizes based on these bounds * the Support Vector methods that control the generalization ability when estimating function using small sample size.

Nigel J. Kalton Selecta: Volume 2

Posted By: AvaxGenius
Nigel J. Kalton Selecta: Volume 2

Nigel J. Kalton Selecta: Volume 2 by Fritz Gesztesy, Gilles Godefroy, Loukas Grafakos, Igor Verbitsky
English | PDF (True | 2016 | 778 Pages | ISBN : 3319187988 | 262.5 MB

This is the second part of a two volume anthology comprising a selection of 49 articles that illustrate the depth, breadth and scope of Nigel Kalton’s research. Each article is accompanied by comments from an expert on the respective topic, which serves to situate the article in its proper context, to successfully link past, present and hopefully future developments of the theory and to help readers grasp the extent of Kalton’s accomplishments. Kalton’s work represents a bridge to the mathematics of tomorrow, and this book will help readers to cross it.

Marginal and Functional Quantization of Stochastic Processes

Posted By: AvaxGenius
Marginal and Functional Quantization of Stochastic Processes

Marginal and Functional Quantization of Stochastic Processes by Harald Luschgy , Gilles Pagès
English | PDF (True) | 2023 | 918 Pages | ISBN : 3031454634 | 16.8 MB

Vector Quantization, a pioneering discretization method based on nearest neighbor search, emerged in the 1950s primarily in signal processing, electrical engineering, and information theory. Later in the 1960s, it evolved into an automatic classification technique for generating prototypes of extensive datasets. In modern terms, it can be recognized as a seminal contribution to unsupervised learning through the k-means clustering algorithm in data science.

Potential Functions of Random Walks in ℤ with Infinite Variance: Estimates and Applications

Posted By: AvaxGenius
Potential Functions of Random Walks in ℤ with Infinite Variance: Estimates and Applications

Potential Functions of Random Walks in ℤ with Infinite Variance: Estimates and Applications by Kôhei Uchiyama
English | PDF (True) | 2023 | 277 Pages | ISBN : 303141019X | 6.4 MB

This book studies the potential functions of one-dimensional recurrent random walks on the lattice of integers with step distribution of infinite variance. The central focus is on obtaining reasonably nice estimates of the potential function. These estimates are then applied to various situations, yielding precise asymptotic results on, among other things, hitting probabilities of finite sets, overshoot distributions, Green functions on long finite intervals and the half-line, and absorption probabilities of two-sided exit problems.

Algebraic Structures and Operators Calculus Volume III: Representations of Lie Groups (Repost)

Posted By: AvaxGenius
Algebraic Structures and Operators Calculus Volume III: Representations of Lie Groups (Repost)

Algebraic Structures and Operators Calculus Volume III: Representations of Lie Groups by Philip Feinsilver , René Schott
English | PDF | 1996 | 236 Pages | ISBN : 0792338340 | 11.5 MB

Introduction I. General remarks . 1 II. Notations . . 5 III. Lie algebras: some basics . 8 Chapter 1 Operator calculus and Appell systems I. Boson calculus . 17 II. Holomorphic canonical calculus . . 18 III. Canonical Appell systems . . 23 Chapter 2 Representations of Lie groups I. Coordinates on Lie groups . . . 28 II. Dual representations. 29 III. Matrix elements. . . 37 IV. Induced representations and homogeneous spaces . . 40 General Appell systems Chapter 3 I. Convolution and stochastic processes . 44 II. Stochastic processes on Lie groups . . 46 III. Appell systems on Lie groups. . 49 Chapter 4 Canonical systems in several variables I. Homogeneous spaces and Cartan decompositions . . 54 II. Induced representation and coherent states . 62 III. Orthogonal polynomials in several variables . 68 Chapter 5 Algebras with discrete spectrum I. Calculus on groups: review of the theory .. 83 II. Finite-difference algebra . 85 III. q-HW algebra and basic hypergeometric functions .. 89 IV. su2 and Krawtchouk polynomials .. . 93 V. e2 and Lommel polynomials . . 101 Chapter 6 Nilpotent and solvable algebras I. Heisenberg algebras . .. 113 II. Type-H Lie algebras .. 118 Vll III. Upper-triangular matrices .. . 125 IV. Affine and Euclidean algebras . . 127 Chapter 7 Hermitian symmetric spaces I. Basic structures . 131 II. Space of rectangular matrices . . 133 III. Space of skew-symmetric matrices . . 136 IV. Space of symmetric matrices . 143 Chapter 8 Properties of matrix elements I. Addition formulas .. . 147 II. Recurrences . .. 148 III. Quotient representations and summation formulas .. 149 Chapter 9 Symbolic computations I. Computing the pi-matrices . . 153 II. Adjoint group .. 154 III. Recursive computation of matrix elements .

Weighted Empirical Processes in Dynamic Nonlinear Models

Posted By: AvaxGenius
Weighted Empirical Processes in Dynamic Nonlinear Models

Weighted Empirical Processes in Dynamic Nonlinear Models by Hira L. Koul
English | PDF | 2002 | 444 Pages | ISBN : 0387954767 | 26.9 MB

The role of the weak convergence technique via weighted empirical processes has proved to be very useful in advancing the development of the asymptotic theory of the so called robust inference procedures corresponding to non-smooth score functions from linear models to nonlinear dynamic models in the 1990's. This monograph is an ex­ panded version of the monograph Weighted Empiricals and Linear Models, IMS Lecture Notes-Monograph, 21 published in 1992, that includes some aspects of this development. The new inclusions are as follows. Theorems 2. 2. 4 and 2. 2. 5 give an extension of the Theorem 2. 2. 3 (old Theorem 2. 2b. 1) to the unbounded random weights case. These results are found useful in Chapters 7 and 8 when dealing with ho­ moscedastic and conditionally heteroscedastic autoregressive models, actively researched family of dynamic models in time series analysis in the 1990's. The weak convergence results pertaining to the partial sum process given in Theorems 2. 2. 6 . and 2. 2. 7 are found useful in fitting a parametric autoregressive model as is expounded in Section 7. 7 in some detail. Section 6. 6 discusses the related problem of fit­ ting a regression model, using a certain partial sum process. Inboth sections a certain transform of the underlying process is shown to provide asymptotically distribution free tests. Other important changes are as follows. Theorem 7. 3.

Quantitative Evaluation of Systems

Posted By: AvaxGenius
Quantitative Evaluation of Systems

Quantitative Evaluation of Systems: 18th International Conference, QEST 2021, Paris, France, August 23–27, 2021, Proceedings by Alessandro Abate
English | EPUB (True) | 2021 | 469 Pages | ISBN : 3030851710 | 47.9 MB

This book constitutes the proceedings of the 18th International Conference on Quantitative Evaluation Systems, QEST 2021, held in Paris, France, in August 2021.

Discrete Stochastics

Posted By: AvaxGenius
Discrete Stochastics

Discrete Stochastics by Konrad Jacobs
English | PDF | 1992 | 287 Pages | ISBN : 3764325917 | 20.1 MB

Discrete stochastics is the theory of discrete probability spaces. This undergraduate textbook gives a concise introduction into discrete stochastics in general, and into a variety of typical special topics in this field, such as information theory, fluctuation theory, and semigroups of stochastic matrices. The emphasis lies on probability theory rather than on statistical methodology. Motivations, interpretations, and numerous examples and exercises relate the mathematical theory to stochastic experience.

Aspects of Risk Theory

Posted By: AvaxGenius
Aspects of Risk Theory

Aspects of Risk Theory by Jan Grandell
English | PDF | 1991 | 186 Pages | ISBN : 1461390605 | 18.2 MB

Risk theory, which deals with stochastic models of an insurance business, is a classical application of probability theory. The fundamental problem in risk theory is to investigate the ruin possibility of the risk business. Traditionally the occurrence of the claims is described by a Poisson process and the cost of the claims by a sequence of random variables. This book is a treatise of risk theory with emphasis on models where the occurrence of the claims is described by more general point processes than the Poisson process, such as renewal processes, Cox processes and general stationary point processes. In the Cox case the possibility of risk fluctuation is explicitly taken into account. The presentation is based on modern probabilistic methods rather than on analytic methods. The theory is accompanied with discussions on practical evaluation of ruin probabilities and statistical estimation. Many numerical illustrations of the results are given.

Non-Bayesian Decision Theory: Beliefs and Desires as Reasons for Action (Repost)

Posted By: AvaxGenius
Non-Bayesian Decision Theory: Beliefs and Desires as Reasons for Action (Repost)

Non-Bayesian Decision Theory: Beliefs and Desires as Reasons for Action by Martin Peterson
English | PDF | 2008 | 175 Pages | ISBN : 1402086989 | 2.3 MB

For quite some time, philosophers, economists, and statisticians have endorsed a view on rational choice known as Bayesianism. The work on this book has grown out of a feeling that the Bayesian view has come to dominate the academic com- nitytosuchanextentthatalternative,non-Bayesianpositionsareseldomextensively researched. Needless to say, I think this is a pity. Non-Bayesian positions deserve to be examined with much greater care, and the present work is an attempt to defend what I believe to be a coherent and reasonably detailed non-Bayesian account of decision theory. The main thesis I defend can be summarised as follows. Rational agents m- imise subjective expected utility, but contrary to what is claimed by Bayesians, ut- ity and subjective probability should not be de?ned in terms of preferences over uncertain prospects.

Advances in Mathematical Economics Volume 11

Posted By: AvaxGenius
Advances in Mathematical Economics Volume 11

Advances in Mathematical Economics Volume 11 by S. Kusuoka, A. Yamazaki
English | PDF | 2008 | 163 Pages | ISBN : 4431777830 | 1.7 MB

A lot of economic problems can formulated as constrained optimizations and equilibration of their solutions. Various mathematical theories have been supplying economists with indispensable machineries for these problems arising in economic theory. Conversely, mathematicians have been stimulated by various mathematical difficulties raised by economic theories. The series is designed to bring together those mathematicians who were seriously interested in getting new challenging stimuli from economic theories with those economists who are seeking for effective mathematical tools for their researchers.

Integral, Probability, and Fractal Measures

Posted By: AvaxGenius
Integral, Probability, and Fractal Measures

Integral, Probability, and Fractal Measures by Gerald A. Edgar
English | PDF | 1998 | 292 Pages | ISBN : 0387982051 | 24 MB

This book may be considered a continuation of my Springer-Verlag text Mea­ sure, Topology, and Fractal Geometry. It presupposes some elementary knowl­ edge of fractal geometry and the mathematics behind fractal geometry. Such knowledge might be obtained by study of Measure, Topology, and Fractal Ge­ ometry or by study of one of the other mathematically oriented texts (such as [13] or [87]). I hope this book will be appropriate to mathematics students at the beginning graduate level in the U.S. Most references are numbered and may be found at the end of the book; but Measure, Topology, and Fractal Geometry is referred to as [ MTFG].