Statistical Machine Learning

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A01=Richard Golden
adaptive learning algorithm convergence
algorithms
artificial intelligence
Author_Richard Golden
Bootstrap Data Sets
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Category=UYQM
Continuous Time Dynamical System
convergence analysis
Data Generating Process
Data Set
Discrete Time Dynamical System
Empirical Risk Function
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eq_computing
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eq_isMigrated=2
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Equilibrium Points
Finite State Space
Gradient Descent Direction
high-dimensional data
ICM
ICM Algorithm
Information Matrix Equality
Iterated Map
Lyapunov Function
M-estimators theory
matrix calculus
MCMC Algorithm
MCMC Sampling Algorithm
Monte Carlo Bootstrap
MSC
Overfitting Phenomenon
Random Vectors
State Transition Graph
statistical inference methods
stochastic algorithms
Stochastic Sequence
Strict Local Minimizer
Strong Wolfe Conditions
Support Specification Measure
vector calculus

Product details

  • ISBN 9781138484696
  • Weight: 3170g
  • Dimensions: 178 x 254mm
  • Publication Date: 02 Jul 2020
  • Publisher: Taylor & Francis Ltd
  • Publication City/Country: GB
  • Product Form: Hardback
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The recent rapid growth in the variety and complexity of new machine learning architectures requires the development of improved methods for designing, analyzing, evaluating, and communicating machine learning technologies. Statistical Machine Learning: A Unified Framework provides students, engineers, and scientists with tools from mathematical statistics and nonlinear optimization theory to become experts in the field of machine learning. In particular, the material in this text directly supports the mathematical analysis and design of old, new, and not-yet-invented nonlinear high-dimensional machine learning algorithms.

Features:

  • Unified empirical risk minimization framework supports rigorous mathematical analyses of widely used supervised, unsupervised, and reinforcement machine learning algorithms
  • Matrix calculus methods for supporting machine learning analysis and design applications
  • Explicit conditions for ensuring convergence of adaptive, batch, minibatch, MCEM, and MCMC learning algorithms that minimize both unimodal and multimodal objective functions
  • Explicit conditions for characterizing asymptotic properties of M-estimators and model selection criteria such as AIC and BIC in the presence of possible model misspecification

This advanced text is suitable for graduate students or highly motivated undergraduate students in statistics, computer science, electrical engineering, and applied mathematics. The text is self-contained and only assumes knowledge of lower-division linear algebra and upper-division probability theory. Students, professional engineers, and multidisciplinary scientists possessing these minimal prerequisites will find this text challenging yet accessible.

About the Author:

Richard M. Golden (Ph.D., M.S.E.E., B.S.E.E.) is Professor of Cognitive Science and Participating Faculty Member in Electrical Engineering at the University of Texas at Dallas. Dr. Golden has published articles and given talks at scientific conferences on a wide range of topics in the fields of both statistics and machine learning over the past three decades. His long-term research interests include identifying conditions for the convergence of deterministic and stochastic machine learning algorithms and investigating estimation and inference in the presence of possibly misspecified probability models.

Richard M. Golden (Ph.D., M.S.E.E., B.S.E.E.) is Professor of Cognitive Science and Participating Faculty Member in Electrical Engineering at the University of Texas at Dallas. Dr. Golden has published articles and given talks at scientific conferences on a wide range of topics in the fields of both statistics and machine learning over the past three decades. His long-term research interests include identifying conditions for the convergence of deterministic and stochastic machine learning algorithms and investigating estimation and inference in the presence of possibly misspecified probability models.

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