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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Primal Dual Alternating Proximal Gradient Algorithms for Nonsmooth Nonconvex Minimax Problems with Coupled Linear Constraints
耦合 线性约束 非光滑 非凸极小问题 基本对偶交替 近端梯度算法
2023/4/14
Nonconvex minimax problems have attracted wide attention in machine learning, signal processing and many other fields in recent years. In this paper, we propose a primal dual alternating proximal grad...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Employment effects in China's dual circulation and firm size heterogeneity
中国双重循环 企业规模 异质性 就业效应
2023/4/19
Based on the newly constructed input-output model that distinguishes firm size categories and the structural decomposition analysis method, this study quantitatively calculates the employment effects ...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Linear Convergence of a Primal-dual Algorithm for Multi-agent Interval Optimization
多智能体 区间优化 原对偶算法 线性收敛
2023/4/21
In this talk, we consider a distributed interval optimization problem (DIOP) with uncertainties, whose global function is formed by local convex interval functions. In seeking Pareto solutions for dis...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Domain Decomposition and Optimized Schwarz Methods for the Dual-porosity-conduit System
双重孔隙 导管系统 区域分解 优化Schwarz方法
2023/5/10
In this work, we propose and analyze domain decomposition methods to decouple the large system arisen from the discretization of dual-porosity-Stokes model. Robin boundary conditions are used to decou...
The dual weighted residual (DWR) method yields reliable a posteriori error bounds for
linear output functionals provided that the error incurred by the numerical approximation of the
dual solution i...
The absence of efficient dual pairs of spanning trees in planar graphs
planar graphs cells
2015/8/26
A spanning tree T in a finite planar connected graph G determines a dual spanning tree T* in the dual graph G* such that T and T* do not intersect. We show that it is not always possible to find T in ...
MONTE CARLO SAMPLING IN DUAL SPACE FOR APPROXIMATING THE EMPIRICAL HALFSPACE DISTANCE
SPACE FOR APPROXIMATING EMPIRICAL HALFSPACE DISTANCE
2015/8/20
The Kolmogorov]Smirnov distance is an important tool for constructing confidence sets and tests in univariate problems. In multivariate
settings, an analogous role is played by the halfspace di...
De nition 2.0.1. A representation (;X) on a Hilbert space
X is called unitary if X admits a (nondegenerate) inner product
h ; i such that G acts by unitary transformations.
Unipotent Representations and the Dual Pairs Correspondence
Dual Pairs Correspondence Unipotent Representations
2015/8/17
Much of the material in this talk was presented at the conference in honor
of Roger Howe. The slides are available at
http://math.mit.edu/conferences/howe/program.php
The theme of the talk is to n...
Spherical Unitary dual for quasisplit real groups
quasisplit real groups Spherical Unitary
2015/8/17
G is the real points of a linear connected reductive group.
- g0 := Lie(G), Cartan involution, g0 = k0 + s0, g := (g0)C, K
maximal compact subgroup, g = k + s,
- P = MAN minimal parabolic subgrou...
SPHERICAL UNITARY DUAL FOR COMPLEX CLASSICAL GROUPS
CLASSICAL GROUPS SPHERICAL UNITARY DUAL
2015/8/17
The full unitary dual for the complex classical groups viewed as real Lie
groups is computed in [B1]. This was close to 20 years ago. Since then there
have been many advances, but the general proble...
A primal-dual potential reduction method for problems involving matrix inequalities
Interior point algorithms Linear matrix inequaliües Semidefinite programming
2015/8/11
We describe a potential reduction method for convex optimization problems involving matrix inequalities. The method is based on the theory developed by Nesterov and Nemirovsky and generalizes Gonzaga ...
A primal-dual operator splitting method for conic optimization
Character segmentation conic optimization yield distributed linear algebra
2015/8/7
We develop a simple operator splitting method for solving a primal conic optimization problem; we show that the iterates also solve the dual problem. The resulting algorithm is very simple to describe...
First order optimization methods often perform poorly on ill-conditioned optimization problems. However, by preconditioning the problem data and solving the preconditioned problem, the performance of ...
Error Analysis of a Dual-parametric Bi-quadratic FEM in Cavitation Computation in Elasticity
error analysis dual-parametric bi-quadratic finite element
2014/12/5
The orientation preserving conditions and approximation errors of a dual-parametric bi-quadratic finite element method for the computation of both
radially symmetric and general nonsymmetric cavity s...