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We study a class of nonconvex nonsmooth optimization problems in which the objective is a sum of two functions: One function is the average of a large number of differentiable functions, while the other function is proper, lower…

最优化与控制 · 数学 2023-05-12 Duy-Nhat Phan , Sedi Bartz , Nilabja Guha , Hung M. Phan

There have been many attempts to leverage multiple diffusion models for collaborative generation, extending beyond the original domain. A prominent approach involves synchronizing multiple diffusion trajectories by mixing the estimated…

机器学习 · 计算机科学 2025-06-04 Hyunjun Lee , Hyunsoo Lee , Sookwan Han

This paper fully studies distributed optimal consensus problem in non-directed dynamical networks. We consider a group of networked agents that are supposed to rendezvous at the optimal point of a collective convex objective function. Each…

最优化与控制 · 数学 2017-12-22 Amir Adibzadeh , Amir A. Suratgar , Mohammad B. Menhaja , Mohsen Zamani

In this paper, we propose the primal-dual method of multipliers (PDMM) for distributed optimization over a graph. In particular, we optimize a sum of convex functions defined over a graph, where every edge in the graph carries a linear…

分布式、并行与集群计算 · 计算机科学 2017-02-06 G. Zhang , R. Heusdens

Recently, reducing communication time between machines becomes the main focus of distributed data mining. Previous methods propose to make workers do more computation locally before aggregating local solutions in the server such that fewer…

机器学习 · 计算机科学 2019-10-11 Zhouyuan Huo , Heng Huang

In the statistical problem of denoising, Bayes and empirical Bayes methods can "overshrink" their output relative to the latent variables of interest. This work is focused on constrained denoising problems which mitigate such phenomena. At…

统计方法学 · 统计学 2025-07-01 Adam Quinn Jaffe , Nikolaos Ignatiadis , Bodhisattva Sen

In decentralized optimization, nodes of a communication network each possess a local objective function, and communicate using gossip-based methods in order to minimize the average of these per-node functions. While synchronous algorithms…

最优化与控制 · 数学 2022-09-02 Mathieu Even , Hadrien Hendrikx , Laurent Massoulie

We study the problem of minimizing the sum of potentially non-differentiable convex cost functions with partially overlapping dependences in an asynchronous manner, where communication in the network is not coordinated. We study the…

最优化与控制 · 数学 2021-02-17 Yankai Lin , Iman Shames , Dragan Nesic

We propose a new distributed optimization algorithm for solving a class of constrained optimization problems in which (a) the objective function is separable (i.e., the sum of local objective functions of agents), (b) the optimization…

最优化与控制 · 数学 2021-06-16 Van Sy Mai , Richard J. La , Tao Zhang , Abdella Battou

In this paper we consider distributed optimization problems in which the cost function is separable, i.e., a sum of possibly non-smooth functions all sharing a common variable, and can be split into a strongly convex term and a convex one.…

系统与控制 · 计算机科学 2016-06-27 Ivano Notarnicola , Giuseppe Notarstefano

Within the realm of industrial technology, optimization methods play a pivotal role and are extensively applied across various sectors, including transportation engineering, robotics, and machine learning. With the surge in data volumes,…

最优化与控制 · 数学 2024-04-25 Han Long

In this paper, we analyze the convergence of a distributed Robbins-Monro algorithm for both constrained and unconstrained optimization in multi-agent systems. The algorithm searches for local minima of a (nonconvex) objective function which…

信息论 · 计算机科学 2011-04-20 Pascal Bianchi , Jérémie Jakubowicz

In this paper, we develop a distributed algorithm for solving a class of distributed convex optimization problems where the local objective functions can be a general nonsmooth function, and all equalities and inequalities are network-wide…

最优化与控制 · 数学 2026-04-14 Yeong-Ung Kim , Hyo-Sung Ahn

We consider a resource allocation problem over an undirected network of agents, where edges of the network define communication links. The goal is to minimize the sum of agent-specific convex objective functions, while the agents' decisions…

最优化与控制 · 数学 2019-11-27 Goran Banjac , Felix Rey , Paul Goulart , John Lygeros

Recently, coding has been a useful technique to mitigate the effect of stragglers in distributed computing. However, coding in this context has been mainly explored under the assumption of homogeneous workers, although the real-world…

分布式、并行与集群计算 · 计算机科学 2020-02-18 DaeJin Kim , Hyegyeong Park , Junkyun Choi

We consider distributed stochastic optimization problems that are solved with master/workers computation architecture. Statistical arguments allow to exploit statistical similarity and approximate this problem by a finite-sum problem, for…

This paper proposes a fast decentralized algorithm for solving a consensus optimization problem defined in a directed networked multi-agent system, where the local objective functions have the smooth+nonsmooth composite form, and are…

分布式、并行与集群计算 · 计算机科学 2017-03-28 Jinshan Zeng , Tao He , Mingwen Wang

Distributed training of deep learning models on large-scale training data is typically conducted with asynchronous stochastic optimization to maximize the rate of updates, at the cost of additional noise introduced from asynchrony. In…

分布式、并行与集群计算 · 计算机科学 2017-03-21 Xinghao Pan , Jianmin Chen , Rajat Monga , Samy Bengio , Rafal Jozefowicz

Distributed training of deep learning models on large-scale training data is typically conducted with asynchronous stochastic optimization to maximize the rate of updates, at the cost of additional noise introduced from asynchrony. In…

机器学习 · 计算机科学 2017-03-22 Jianmin Chen , Xinghao Pan , Rajat Monga , Samy Bengio , Rafal Jozefowicz

We discuss non-Euclidean deterministic and stochastic algorithms for optimization problems with strongly and uniformly convex objectives. We provide accuracy bounds for the performance of these algorithms and design methods which are…

最优化与控制 · 数学 2014-01-09 Anatoli Iouditski , Yuri Nesterov