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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Global and Local Convergence-Rate Analysis of an Inexact Newton Augmented Lagrangian Method for Zero-One Composite Optimization
零一复合优化 不精确 牛顿增强拉格朗日方法 收敛率分析
2023/4/14
Zero-One Composite Optimization (0/1-COP) is a prototype of nonsmooth, non- convex optimization problems and it has attracted much attention recently. Augmented Lagrangian Method (ALM) has stood out a...
QUASI-OPTIMAL CONVERGENCE RATE OF AN ADAPTIVE DISCONTINUOUS GALERKIN METHOD
Discontinuous Galerkin interior penalty nonconforming meshes
2015/12/11
We analyze an adaptive discontinuous finite element method (ADFEM) for symmetric
second order linear elliptic operators. The method is formulated on nonconforming meshes made
of simplices or q...
Tree Codes Improve Convergence Rate of Consensus Over Erasure Channels
Tree Codes Convergence Rate of Consensus Erasure Channels Optimization and Control
2012/4/17
We study the problem of achieving average consensus between a group of agents over a network with erasure links. In the context of consensus problems, the unreliability of communication links between ...
Convergence rate across the Nepal Himalaya and interseismic coupling on the Main Himalayan Thrust: Implications for seismic hazard
Convergence rate Nepal Himalaya interseismic coupling on the Main Himalayan Thrust: Implications for seismic hazard
2014/4/15
We document geodetic strain across the Nepal Himalaya using GPS times series from 30 stations in Nepal and southern Tibet, in addition to previously published campaign GPS points and leveling data and...
Convergence Rate Analysis of Distributed Gossip (Linear Parameter) Estimation: Fundamental Limits and Tradeoffs
Convergence Rate Analysis Fundamental Limits and Tradeoffs
2010/11/12
The paper considers gossip distributed estimation of a (static) distributed random field (a.k.a., large scale unknown parameter vector) observed by sparsely interconnected sensors, each of which only ...
ON THE BEST UNIFORM CONVERGENCE RATE OF EB ESTIMATORS
Empirical Bayes estimators best uniform
2007/12/17
In this paper the authors prove that the best uniform convergence rate of EB estimators of the parameter θin uniform distribution family U(0,θ) cannot reach 1 under conditions weaker than Tao Bo's[5]....
CONVERGENCE RATE OF A GENERALIZEDADDITIVE SCHWARZ ALGORITHM
Schwarz additive algorithm Convergence rate Dirichlet problem
2007/12/11
The convergence rate of a generalized additive Schwarz algorithm
for solving boundary value problems of elliptic partial
differential equations is studied. A quantitative analysis of the
convergenc...
Consider the partly linear regression model y_i = x'_iβ + g(t_i) + ε_i, 1 ≤ i ≤ n, where y_i's are responses, x_i = (x_i1,x_i2,…,x_ip)＇ and t_i ∈ Τ are known and nonrandom design Τ is a compact set in...
On the Convergence Rate of a Space Decomposition Method
nonlinear problem space decomposition method
2007/12/10
Domain decomposition method and multigrid method can be unified in the framework of the space decomposition method. This paper has obtained a new result on the convergence rate of the space decomposit...
A VARIATION OF GOLDFARB'S METHOD FOR LINEARLY CONSTRAINED OPTIMIZATION PROBLEMS AND ITS SUPERLINEAR CONVERGENCE RATE
Conjugate projection superlinear conver
2007/8/7
This paper presents a variant algorithm of Goldfarb's method for linearly constrained optimization problems. In the variant algorithm, we introduce a concept called conjugate projection, which differs...