Entropy Randomization in Machine Learning

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A01=Alexey Yu. Popkov
A01=Yuri A. Dubnov
A01=Yuri S. Popkov
Address Space
Admissible Set
AR Method
Author_Alexey Yu. Popkov
Author_Yuri A. Dubnov
Author_Yuri S. Popkov
Balance Constraints
binary classification methods
Category=PB
Category=UMK
Category=UT
Category=UY
Category=UYA
Category=UYD
Category=UYQM
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Computational Methods
Decision Rule Model
Decision Tree Design
Dynamic Regression
electric load forecasting
Elementary Cube
Elementary Parallelepipeds
Entropy Classification
Entropy Randomization
Entropy-Robust Estimation
eq_bestseller
eq_computing
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eq_isMigrated=2
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Gateaux Derivative
High Dimensional Random Vectors
Information Technologies
Lagrange Functional
Lagrange Multipliers
Learning Sample
Lipschitz Constant
Machine Learning
Measurement Noises
Ml Algorithm
Ml Procedure
Modern Computer Systems
multidimensional integration
nonlinear optimisation
Obtain Optimality Conditions
population dynamics modelling
Prediction
probabilistic modelling
Probabilities
Procedures
Pulse Characteristics
Random Vectors
randomised parameter estimation in AI
Rpm
Standard PDF
SVM

Product details

  • ISBN 9781032307749
  • Weight: 453g
  • Dimensions: 156 x 234mm
  • Publication Date: 08 Oct 2024
  • Publisher: Taylor & Francis Ltd
  • Publication City/Country: GB
  • Product Form: Paperback
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Entropy Randomization in Machine Learning presents a new approach to machine learning—entropy randomization—to obtain optimal solutions under uncertainty (uncertain data and models of the objects under study). Randomized machine-learning procedures involve models with random parameters and maximum entropy estimates of the probability density functions of the model parameters under balance conditions with measured data. Optimality conditions are derived in the form of nonlinear equations with integral components. A new numerical random search method is developed for solving these equations in a probabilistic sense. Along with the theoretical foundations of randomized machine learning, Entropy Randomization in Machine Learning considers several applications to binary classification, modelling the dynamics of the Earth’s population, predicting seasonal electric load fluctuations of power supply systems, and forecasting the thermokarst lakes area in Western Siberia.

Features

• A systematic presentation of the randomized machine-learning problem: from data processing, through structuring randomized models and algorithmic procedure, to the solution of applications-relevant problems in different fields

• Provides new numerical methods for random global optimization and computation of multidimensional integrals

• A universal algorithm for randomized machine learning

This book will appeal to undergraduates and postgraduates specializing in artificial intelligence and machine learning, researchers and engineers involved in the development of applied machine learning systems, and researchers of forecasting problems in various fields.

Yuri S. Popkov: Doctor of Engineering, Professor, Academician of Russian Academy of Sciences; Chief Researcher at Federal Research Center “Computer Science and Control,” Russian Academy of Sciences; Chief Researcher at Trapeznikov Institute of Control Sciences, Russian Academy of Sciences; Professor at Lomonosov Moscow State University. Author of more than 250 scientific publications, including 15 monographs. His research interests include stochastic dynamic systems, optimization, machine learning, and macrosystem modeling.

Alexey Yu. Popkov: Candidate of Sciences, Leading Researcher at Federal Research Center “Computer Science and Control,” Russian Academy of Sciences; author of 47 scientific publications. His research interests include software engineering, high-performance computing, data mining, machine learning, and entropy methods.

Yuri A. Dubnov: MSc in Physics, Researcher at Federal Research Center “Computer Science and Control,” Russian Academy of Sciences. Author of more than 18 scientific publications. His research interests include machine learning, forecasting, randomized approaches, and Bayesian estimation.

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