Optimization and Its Applications in Control and Data Sciences

“This book, organized and nicely edited by Professor Goldengorin, reflects some recent advances in the areas of optimization, control, and data sciences in the directions largely initiated and developed by Boris Polyak over the years. … I would like to congratulate the editor and all the authors of the papers presented in the book on their excellent work to celebrate great achievements and scientific life of Boris Teodorovich Polyak.” (Boris S. Mordukhovich, Optimization Letters, Vol. 11, 2017)

• Introduction: Big, Small, and Optimal Steps of Boris Polyak (Boris Goldengorin).- A Convex Optimization Approach to Modeling of Stationary Periodic Time Series (Anders Lindquist and Giorgio Picci).- New two-phase proximal method of solving the solving the problem of equilibrium programming (Sergey I. Lyashko and Vladimir V. Semenov).- Minimax Control of  Positive Switching Systems with Markovian Jumps (Patrizio Colaneri,  José Geromel, Paolo Bolzern, Grace Deaecto).- A modified Polak-Ribière-Polyak conjugate gradient algorithm with sufficient descent and conjugacy properties for unconstrained optimization (Neculai Andrei).- Subgradient method with the transformation of space and Polyak's step (Petro Stetsyuk).- Invariance Conditions for Nonlinear Dynamical Systems (Y. Song, and T. Terlaky).- Nonparametric ellipsoidal approximation of compact sets of random points (S. I., Lyashko, V.V. Semenov D.A. Klyushin, M.V. Prysyazhna, M.P. Shlykov).- Algorithmic Principle of the Least Excessive Revenue for finding market equilibria (Yurii Nesterov, Vladimir Shikhman).- Matrix-Free Convex Optimization Modeling (Stephen Boyd and Steven Diamond).- Stochastic Optimization and Statistical Learning in Reproducing Kernel Hilbert Spaces the Stochastic Quasi-Gradient Methods (Vladimir I. Norkin).