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  1. Journal of Optimization Theory and Applications
  2. Journal of Optimization Theory and Applications : Volume 163
  3. Journal of Optimization Theory and Applications : Volume 163, Issue 2, November 2014
  4. Interactive Diffusions for Global Optimization
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Journal of Optimization Theory and Applications : Volume 173
Journal of Optimization Theory and Applications : Volume 172
Journal of Optimization Theory and Applications : Volume 171
Journal of Optimization Theory and Applications : Volume 170
Journal of Optimization Theory and Applications : Volume 169
Journal of Optimization Theory and Applications : Volume 168
Journal of Optimization Theory and Applications : Volume 167
Journal of Optimization Theory and Applications : Volume 166
Journal of Optimization Theory and Applications : Volume 165
Journal of Optimization Theory and Applications : Volume 164
Journal of Optimization Theory and Applications : Volume 163
Journal of Optimization Theory and Applications : Volume 163, Issue 3, December 2014
Journal of Optimization Theory and Applications : Volume 163, Issue 2, November 2014
Generalized Derivatives for Solutions of Parametric Ordinary Differential Equations with Non-differentiable Right-Hand Sides
On Characterization of Solution Sets of Set-Valued Pseudoinvex Optimization Problems
Strong Convergence of the Halpern Subgradient Extragradient Method for Solving Variational Inequalities in Hilbert Spaces
On a Smooth Dual Gap Function for a Class of Quasi-Variational Inequalities
An Inexact Alternating Direction Method for Structured Variational Inequalities
Regularizations for Stochastic Linear Variational Inequalities
A Common Fixed Point Theorem with Applications
Interactive Diffusions for Global Optimization
A New Filled Function Method with Two Parameters for Global Optimization
On a Global Optimization Algorithm for Bivariate Smooth Functions
A Study of the Dual Affine Scaling Continuous Trajectories for Linear Programming
A New Approximation of the Matrix Rank Function and Its Application to Matrix Rank Minimization
Extremal Ranks of Some Nonlinear Matrix Expressions with Applications
Optimal Investment and Consumption with Proportional Transaction Costs in Regime-Switching Model
A Differential Game of Transboundary Industrial Pollution with Emission Permits Trading
On a Nonrenewable Resource Extraction Game Played by Asymmetric Firms
A Counterexample on Sample-Path Optimality in Stable Markov Decision Chains with the Average Reward Criterion
A Note on the Paper “A Simplified Novel Technique for Solving Fully Fuzzy Linear Programming Problems”
Journal of Optimization Theory and Applications : Volume 163, Issue 1, October 2014
Journal of Optimization Theory and Applications : Volume 162
Journal of Optimization Theory and Applications : Volume 161
Journal of Optimization Theory and Applications : Volume 160
Journal of Optimization Theory and Applications : Volume 159
Journal of Optimization Theory and Applications : Volume 158
Journal of Optimization Theory and Applications : Volume 157
Journal of Optimization Theory and Applications : Volume 156
Journal of Optimization Theory and Applications : Volume 155
Journal of Optimization Theory and Applications : Volume 154
Journal of Optimization Theory and Applications : Volume 153
Journal of Optimization Theory and Applications : Volume 152
Journal of Optimization Theory and Applications : Volume 151
Journal of Optimization Theory and Applications : Volume 150
Journal of Optimization Theory and Applications : Volume 149
Journal of Optimization Theory and Applications : Volume 148
Journal of Optimization Theory and Applications : Volume 147
Journal of Optimization Theory and Applications : Volume 146
Journal of Optimization Theory and Applications : Volume 145
Journal of Optimization Theory and Applications : Volume 144
Journal of Optimization Theory and Applications : Volume 143
Journal of Optimization Theory and Applications : Volume 142
Journal of Optimization Theory and Applications : Volume 141
Journal of Optimization Theory and Applications : Volume 140
Journal of Optimization Theory and Applications : Volume 139
Journal of Optimization Theory and Applications : Volume 138
Journal of Optimization Theory and Applications : Volume 137
Journal of Optimization Theory and Applications : Volume 136
Journal of Optimization Theory and Applications : Volume 135
Journal of Optimization Theory and Applications : Volume 134
Journal of Optimization Theory and Applications : Volume 133
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Journal of Optimization Theory and Applications : Volume 131
Journal of Optimization Theory and Applications : Volume 130
Journal of Optimization Theory and Applications : Volume 129
Journal of Optimization Theory and Applications : Volume 128
Journal of Optimization Theory and Applications : Volume 127
Journal of Optimization Theory and Applications : Volume 126
Journal of Optimization Theory and Applications : Volume 125
Journal of Optimization Theory and Applications : Volume 124
Journal of Optimization Theory and Applications : Volume 123
Journal of Optimization Theory and Applications : Volume 122
Journal of Optimization Theory and Applications : Volume 121
Journal of Optimization Theory and Applications : Volume 120
Journal of Optimization Theory and Applications : Volume 119
Journal of Optimization Theory and Applications : Volume 118
Journal of Optimization Theory and Applications : Volume 117
Journal of Optimization Theory and Applications : Volume 116
Journal of Optimization Theory and Applications : Volume 115
Journal of Optimization Theory and Applications : Volume 114
Journal of Optimization Theory and Applications : Volume 113
Journal of Optimization Theory and Applications : Volume 112
Journal of Optimization Theory and Applications : Volume 111
Journal of Optimization Theory and Applications : Volume 110
Journal of Optimization Theory and Applications : Volume 109
Journal of Optimization Theory and Applications : Volume 108
Journal of Optimization Theory and Applications : Volume 107
Journal of Optimization Theory and Applications : Volume 106
Journal of Optimization Theory and Applications : Volume 105
Journal of Optimization Theory and Applications : Volume 104
Journal of Optimization Theory and Applications : Volume 103
Journal of Optimization Theory and Applications : Volume 102
Journal of Optimization Theory and Applications : Volume 101
Journal of Optimization Theory and Applications : Volume 100
Journal of Optimization Theory and Applications : Volume 99
Journal of Optimization Theory and Applications : Volume 98
Journal of Optimization Theory and Applications : Volume 97
Journal of Optimization Theory and Applications : Volume 96
Journal of Optimization Theory and Applications : Volume 95
Journal of Optimization Theory and Applications : Volume 94
Journal of Optimization Theory and Applications : Volume 93
Journal of Optimization Theory and Applications : Volume 92

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Interactive Diffusions for Global Optimization

Content Provider Springer Nature Link
Author Sun, Yue Garcia, Alfredo
Copyright Year 2013
Abstract We present a novel approach, in which parallel annealing processes interact in a manner that expedites the identification of a globally optimal solution. A first annealing process operates at a faster time scale and has a drift function that converges to a non-zero (but relatively small) noise level. A second annealing process (operating at a slower time scale) is subject to a modified drift term in which the steepest descent direction is perturbed with the first annealing process density gradient. This additional term ensures that the second process is “repelled” from regions already explored. As a result, the first annealing process (which quickly identifies locally optimal solutions) allows the second annealing process to bypass locally optimal solutions recently identified, so that it can be made to converge to global optima at a faster rate. We show that, when compared to independent annealing processes, the proposed interactive diffusions can increase the speed of convergence at the expense of minimal additional computational overhead.
Starting Page 491
Ending Page 509
Page Count 19
File Format PDF
ISSN 00223239
Journal Journal of Optimization Theory and Applications
Volume Number 163
Issue Number 2
e-ISSN 15732878
Language English
Publisher Springer US
Publisher Date 2013-09-04
Publisher Place Boston
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword Diffusions Simulated annealing Parallel computing Calculus of Variations and Optimal Control; Optimization Optimization Theory of Computation Applications of Mathematics Engineering Operations Research/Decision Theory
Content Type Text
Resource Type Article
Subject Applied Mathematics Control and Optimization Management Science and Operations Research
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