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We consider monotone inclusion problems where the operators may be expectation-valued, a class of problems that subsumes convex stochastic optimization problems as well as subclasses of stochastic variational inequality and equilibrium…

最优化与控制 · 数学 2021-10-19 Shisheng Cui , Uday V. Shanbhag

Cellular Automata(CA) is a discrete computing model which provides simple, flexible and efficient platform for simulating complicated systems and performing complex computation based on the neighborhoods information. CA consists of two…

分布式、并行与集群计算 · 计算机科学 2011-12-12 Debasis Das , Rajiv Misra

A Cellular Automata (CA) is a computing model of complex System using simple rule. In CA the problem space into number of cell and each cell can be one or several final state. Cells are affected by neighbours' to the simple rule. Cellular…

密码学与安全 · 计算机科学 2010-06-15 Debasis Das , Abhishek Ray

We revisit the problem of computing submatrices of the Cram\'er-Rao bound (CRB), which lower bounds the variance of any unbiased estimator of a vector parameter $\vth$. We explore iterative methods that avoid direct inversion of the Fisher…

信息论 · 计算机科学 2015-06-04 Paul Tune

This paper presents a novel partially distributed outer approximation algorithm, named PaDOA, for solving a class of structured mixed integer convex programming (MICP) problems to global optimality. The proposed scheme uses an iterative…

最优化与控制 · 数学 2019-11-20 Alexander Murray , Timm Faulwasser , Veit Hagenmeyer , Mario E. Villanueva , Boris Houska

We propose a new polynomial-time algorithm for linear programming. We further extend the ideas used in this new linear programming algorithm for nonlinear programming problems. The new algorithm is based on the idea of treating the…

综合数学 · 数学 2019-03-14 Dhananjay P. Mehendale

Linear discriminant analysis (LDA) is a classical method for dimensionality reduction, where discriminant vectors are sought to project data to a lower dimensional space for optimal separability of classes. Several recent papers have…

统计计算 · 统计学 2022-03-04 Summer Atkins , Gudmundur Einarsson , Brendan Ames , Line Clemmensen

In this work, we develop a convergence framework for iterative algorithms whose updates can be described by a one-parameter family of nonexpansive operators. Within the framework, each step involving one of the main algorithmic operators is…

最优化与控制 · 数学 2025-12-01 Felipe Atenas , Heinz H. Bauschke , Minh N. Dao , Matthew K. Tam

A sequential quadratic optimization algorithm for minimizing an objective function defined by an expectation subject to nonlinear inequality and equality constraints is proposed, analyzed, and tested. The context of interest is when it is…

最优化与控制 · 数学 2023-03-01 Frank E. Curtis , Daniel P. Robinson , Baoyu Zhou

Various static analysis problems are reformulated as instances of the Context-Free Language Reachability (CFL-r) problem. One promising way to make solving CFL-r more practical for large-scale interprocedural graphs is to reduce CFL-r to…

编程语言 · 计算机科学 2024-01-23 Ilia Muravev

A fast algorithm (linear in the degrees of freedom) for the solution of linear variable-coefficient rational-order fractional integral and differential equations is described. The approach is related to the ultraspherical method for…

数值分析 · 数学 2017-12-04 Nicholas Hale , Sheehan Olver

The principle underlying this paper is the basic observation that the problem of simultaneously solving a large class of composite monotone inclusions and their duals can be reduced to that of finding a zero of the sum of a maximally…

最优化与控制 · 数学 2010-11-29 L. Briceno-Arias , P. L. Combettes

We consider learning problems over training sets in which both, the number of training examples and the dimension of the feature vectors, are large. To solve these problems we propose the random parallel stochastic algorithm (RAPSA). We…

机器学习 · 计算机科学 2016-03-23 Aryan Mokhtari , Alec Koppel , Alejandro Ribeiro

In this paper, we combine the operator splitting methodology for abstract evolution equations with that of stochastic methods for large-scale optimization problems. The combination results in a randomized splitting scheme, which in a given…

数值分析 · 数学 2022-10-12 Monika Eisenmann , Tony Stillfjord

We consider sparse matrix estimation where the goal is to estimate an $n\times n$ matrix from noisy observations of a small subset of its entries. We analyze the estimation error of the popularly utilized collaborative filtering algorithm…

统计理论 · 数学 2025-07-29 Christian Borgs , Jennifer Chayes , Devavrat Shah , Christina Lee Yu

In this paper, we propose a novel Dual Inexact Splitting Algorithm (DISA) for distributed convex composite optimization problems, where the local loss function consists of a smooth term and a possibly nonsmooth term composed with a linear…

最优化与控制 · 数学 2023-04-25 Luyao Guo , Xinli Shi , Shaofu Yang , Jinde Cao

Biclustering, also called co-clustering, block clustering, or two-way clustering, involves the simultaneous clustering of both the rows and columns of a data matrix into distinct groups, such that the rows and columns within a group display…

最优化与控制 · 数学 2024-12-06 Antonio M. Sudoso

There is a recent interest on first-order methods for linear programming (LP). In this paper,we propose a stochastic algorithm using variance reduction and restarts for solving sharp primal-dual problems such as LP. We show that the…

最优化与控制 · 数学 2024-01-02 Haihao Lu , Jinwen Yang

A scalable algorithm for solving compact banded linear systems on distributed memory architectures is presented. The proposed method factorizes the original system into two levels of memory hierarchies, and solves it using parallel cyclic…

分布式、并行与集群计算 · 计算机科学 2021-02-05 Hang Song , Kristen V. Matsuno , Jacob R. West , Akshay Subramaniam , Aditya S. Ghate , Sanjiva K. Lele

We present KADABRA, a new algorithm to approximate betweenness centrality in directed and undirected graphs, which significantly outperforms all previous approaches on real-world complex networks. The efficiency of the new algorithm relies…

数据结构与算法 · 计算机科学 2016-08-15 Michele Borassi , Emanuele Natale
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