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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Stochastic approximation methods for nonconvex constrained optimization
非凸 约束优化 随机逼近方法
2023/4/14
Nonconvex constrained optimization (NCO) has been one of the important research fields in optimization community. It has widely appeared in many application fields. However, challenges for solving NCO...
CranSLIK v1.0: stochastic prediction of oil spill transport and fate using approximation methods
stochastic prediction oil spill transport fate using approximation methods
2014/12/19
This paper investigates the development of a model, called CranSLIK, to predict the transport and transformations of a point mass oil spill via a stochastic approach. Initially the various effects on ...
Capturing correlations in chaotic diffusion by approximation methods
Capturing correlations chaotic diffusion approximation methods
2011/9/21
Abstract: We investigate three different methods for systematically approximating the diffusion coefficient of a deterministic random walk on the line which contains dynamical correlations that change...
Some modified extragradient approximation methods for variational inequality problems and equilibrium problems of nonexpansive mappings
Nonexpansive mappings Monotone L-Lipschitz continuous mapping
2010/9/13
In this paper, we introduce a modified extragradient approximation method for finding the common element of the set of fixed points of nonexpansive mapping, the set of solutions of an equilibrium prob...
Approximation methods for equilibrium problems and common solution for a finite family of inverse strongly-monotone problems in Hilbert spaces
Tikhonov regularization proximal point method contraction
2010/9/10
The purpose of the paper is to investigate approximation methods for finding an element that is not only a solution of a equilibrium problem but also a common solution for a finite family of inverse s...
Viscosity approximation methods for mean non-expansive mappings in Banach spaces
Viscosity approximation method Mean non-expansive mappings
2010/9/10
Let C be a nonempty closed convex subset of a real reflexive
Banach space X that has weakly continuous duality mapping J. Let T : C → C be a Mean non-expansive mapping with F(T) = ∅. For any t...
EXPONENTIAL CONVERGENCE OF SAMPLE AVERAGE APPROXIMATION METHODS FOR A CLASS OF STOCHASTIC MATHEMATICAL PROGRAMS WITH OMPLEMENTARITY CONSTRAINTS
Stochastic mathematical programs with complementarity constraints Sample average approximation Weak stationary points Exponential convergence
2007/12/11
In this paper, we propose a Sample Average Approximation (SAA) method
for a class of Stochastic Mathematical Programs with Complementarity
Constraints (SMPCC) recently considered by Birbil, G\"{u}rk...