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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.

Mathematics. --- Data structures (Computer science). --- Dynamics. --- Ergodic theory. --- System theory. --- Computer science --- Computer mathematics. --- Algorithms. --- Mathematical optimization. --- Optimization. --- Data Structures. --- Systems Theory, Control. --- Dynamical Systems and Ergodic Theory. --- Mathematical Applications in Computer Science. --- Science --- Technology --- Data processing. --- Electronic data processing --- Data structures (Computer scienc. --- Systems theory. --- Differentiable dynamical systems. --- Differential dynamical systems --- Dynamical systems, Differentiable --- Dynamics, Differentiable --- Differential equations --- Global analysis (Mathematics) --- Topological dynamics --- Optimization (Mathematics) --- Optimization techniques --- Optimization theory --- Systems optimization --- Mathematical analysis --- Maxima and minima --- Operations research --- Simulation methods --- System analysis --- Algorism --- Algebra --- Arithmetic --- Foundations --- Computer science—Mathematics. --- Computer mathematics --- Mathematics --- Dynamical systems --- Kinetics --- Mechanics, Analytic --- Force and energy --- Mechanics --- Physics --- Statics --- Systems, Theory of --- Systems science --- Information structures (Computer science) --- Structures, Data (Computer science) --- Structures, Information (Computer science) --- File organization (Computer science) --- Abstract data types (Computer science) --- Ergodic transformations --- Continuous groups --- Mathematical physics --- Measure theory --- Transformations (Mathematics) --- Philosophy --- Polyak, Boris T. --- Data structures (Computer science)

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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.

Ergodic theory. Information theory --- Numerical methods of optimisation --- Operational research. Game theory --- Mathematics --- Classical mechanics. Field theory --- Engineering sciences. Technology --- Computer science --- Computer. Automation --- machine learning --- automatisering --- computers --- informatica --- externe fixatie (geneeskunde --- systeemtheorie --- database management --- wiskunde --- programmatielogica --- algoritmen --- systeembeheer --- dynamica --- informatietheorie

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• Reference Manager
• EndNote
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Data Correcting Approaches in Combinatorial Optimization focuses on algorithmic applications of the well known polynomially solvable special cases of computationally intractable problems. The purpose of this text is to design practically efficient algorithms for solving wide classes of combinatorial optimization problems.  Researches, students and engineers will benefit from new bounds and branching rules in development efficient branch-and-bound type computational algorithms. This book examines applications for solving the Traveling Salesman Problem and its variations, Maximum Weight Independent Set Problem, Different Classes of Allocation and Cluster Analysis  as well as some classes of Scheduling Problems. Data Correcting Algorithms in Combinatorial Optimization  introduces the data correcting approach to algorithms which provide an answer to the following questions: how to construct a bound to the original intractable problem and find which element of the corrected instance  one should branch such that the total size of search tree will be minimized. The PC time needed for solving intractable problems will be adjusted with the requirements for solving real world problems.

Mathematical optimization. --- Combinatorial analysis --- Mathematics --- Physical Sciences & Mathematics --- Algebra --- Combinatorial analysis. --- Algorithms. --- Optimization (Mathematics) --- Optimization techniques --- Optimization theory --- Systems optimization --- Algorism --- Combinatorics --- Mathematics. --- Data structures (Computer science). --- Graph theory. --- Graph Theory. --- Optimization. --- Data Structures. --- Algorithm Analysis and Problem Complexity. --- Mathematical analysis --- Maxima and minima --- Operations research --- Simulation methods --- System analysis --- Arithmetic --- Foundations --- Data structures (Computer scienc. --- Computer software. --- Software, Computer --- Computer systems --- Information structures (Computer science) --- Structures, Data (Computer science) --- Structures, Information (Computer science) --- Electronic data processing --- File organization (Computer science) --- Abstract data types (Computer science) --- Graph theory --- Graphs, Theory of --- Theory of graphs --- Topology --- Extremal problems