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Optimization and Its Applications in Control and Data Sciences: In Honor of Boris T. Polyak’s 80th Birthday

✍ Scribed by Boris Goldengorin (eds.)


Publisher
Springer International Publishing
Year
2016
Tongue
English
Leaves
516
Series
Springer Optimization and Its Applications 115
Edition
1
Category
Library

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✦ Synopsis


This book focuses on recent research in modern optimization and its implications in control and data analysis. This book is a collection of papers from the conference “Optimization and Its Applications in Control and Data Science” dedicated to Professor Boris T. Polyak, which was held in Moscow, Russia on May 13-15, 2015.


This book reflects developments in theory and applications rooted by Professor Polyak’s fundamental contributions to constrained and unconstrained optimization, differentiable and nonsmooth functions, control theory and approximation. Each paper focuses on techniques for solving complex optimization problems in different application areas and recent developments in optimization theory and methods. Open problems in optimization, game theory and control theory are included in this collection which will interest engineers and researchers working with efficient algorithms and software for solving optimization problems in market and data analysis. Theoreticians in operations research, applied mathematics, algorithm design, artificial intelligence, machine learning, and software engineering will find this book useful and graduate students will find the state-of-the-art research valuable.

✦ Table of Contents


Front Matter....Pages i-xvii
A New Adaptive Conjugate Gradient Algorithm for Large-Scale Unconstrained Optimization....Pages 1-16
On Methods of Terminal Control with Boundary-Value Problems: Lagrange Approach....Pages 17-49
Optimization of Portfolio Compositions for Small and Medium Price-Taking Traders....Pages 51-117
Indirect Maximum Likelihood Estimation....Pages 119-138
Lagrangian Duality in Complex Pose Graph Optimization....Pages 139-184
State-Feedback Control of Positive Switching Systems with Markovian Jumps....Pages 185-219
Matrix-Free Convex Optimization Modeling....Pages 221-264
Invariance Conditions for Nonlinear Dynamical Systems....Pages 265-280
Modeling of Stationary Periodic Time Series by ARMA Representations....Pages 281-314
A New Two-Step Proximal Algorithm of Solving the Problem of Equilibrium Programming....Pages 315-325
Nonparametric Ellipsoidal Approximation of Compact Sets of Random Points....Pages 327-340
Extremal Results for Algebraic Linear Interval Systems....Pages 341-351
Applying the Gradient Projection Method to a Model of Proportional Membership for Fuzzy Cluster Analysis....Pages 353-380
Algorithmic Principle of Least Revenue for Finding Market Equilibria....Pages 381-435
The Legendre Transformation in Modern Optimization....Pages 437-507

✦ Subjects


Optimization;Data Structures;Systems Theory, Control;Dynamical Systems and Ergodic Theory;Algorithms;Mathematical Applications in Computer Science


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