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We consider the problem of minimizing the sum of non-smooth convex functions in non-Euclidean spaces, e.g., probability simplex, via only local computation and communication on an undirected graph. We propose two algorithms motivated by…

最优化与控制 · 数学 2019-08-22 Yue Yu , Behçet Açıkmeşe , Mehran Mesbahi

Submodular optimization is a special class of combinatorial optimization arising in several machine learning problems, but also in cooperative control of complex systems. In this paper, we consider agents in an asynchronous, unreliable and…

系统与控制 · 计算机科学 2018-12-17 Andrea Testa , Ivano Notarnicola , Giuseppe Notarstefano

In this work, we show that for linearly constrained optimization problems the primal-dual hybrid gradient algorithm, analyzed by Chambolle and Pock [3], can be written as an entirely primal algorithm. This allows us to prove convergence of…

最优化与控制 · 数学 2019-05-27 Yura Malitsky

Distributed training in deep learning (DL) is common practice as data and models grow. The current practice for distributed training of deep neural networks faces the challenges of communication bottlenecks when operating at scale, and…

机器学习 · 计算机科学 2020-12-21 Shubhankar Gahlot , Junqi Yin , Mallikarjun Shankar

Many of the distributed localization algorithms are based on relaxed optimization formulations of the localization problem. These algorithms commonly rely on first-order optimization methods, and hence may require many iterations or…

We introduce a data-driven approach to computing finite bisimulations for state transition systems with very large, possibly infinite state space. Our novel technique computes stutter-insensitive bisimulations of deterministic systems,…

计算机科学中的逻辑 · 计算机科学 2024-05-27 Alessandro Abate , Mirco Giacobbe , Yannik Schnitzer

This paper focuses on reducing memory usage in enumerative model checking, while maintaining the multi-core scalability obtained in earlier work. We present a tree-based multi-core compression method, which works by leveraging sharing among…

数据结构与算法 · 计算机科学 2011-05-17 Alfons Laarman , Jaco van de Pol , Michael Weber

We present a novel communication-efficient Newton-type algorithm for finite-sum optimization over a distributed computing environment. Our method, named DINO, overcomes both theoretical and practical shortcomings of similar existing…

最优化与控制 · 数学 2020-06-09 Rixon Crane , Fred Roosta

We consider the problem of minimizing the sum of cost functions pertaining to agents over a network whose topology is captured by a directed graph (i.e., asymmetric communication). We cast the problem into the ADMM setting, via a consensus…

最优化与控制 · 数学 2023-04-04 Dingran Yi , Nikolaos M. Freris

In this paper, we present, to our knowledge, the first known I/O efficient solutions for computing the k-bisimulation partition of a massive directed graph, and performing maintenance of such a partition upon updates to the underlying…

数据库 · 计算机科学 2013-05-03 Yongming Luo , George H. L. Fletcher , Jan Hidders , Yuqing Wu , Paul De Bra

Fill-ins are new nonzero elements in the summation of the upper and lower triangular factors generated during LU factorization. For large sparse matrices, they will increase the memory usage and computational time, and be reduced through…

机器学习 · 计算机科学 2025-11-13 Ziwei Li , Shuzi Niu , Tao Yuan , Huiyuan Li , Wenjia Wu

In Part I of this paper, we proposed and analyzed a novel algorithmic framework for the minimization of a nonconvex (smooth) objective function, subject to nonconvex constraints, based on inner convex approximations. This Part II is devoted…

This paper considers a distributed multi-agent optimization problem, with the global objective consisting of the sum of local objective functions of the agents. The agents solve the optimization problem using local computation and…

分布式、并行与集群计算 · 计算机科学 2017-11-07 Shripad Gade , Nitin H. Vaidya

Matrix reordering in large sparse solvers seeks a permutation that minimizes factorization fill-in to reduce memory and computation. Because the minimum fill-in ordering problem is NP-complete and fill-in is implicit in the sparsity…

机器学习 · 计算机科学 2026-05-19 Ziwei Li , Shuzi Niu , Huiyuan Li , Tao Yuan , Wenjia Wu

We introduce a novel approach to reduce the computational effort of solving mixed-integer convex chance constrained programs through the scenario approach. Instead of reducing the number of required scenarios, we directly minimize the…

最优化与控制 · 数学 2020-02-05 Damian Frick , Pier Giuseppe Sessa , Tony A. Wood , Maryam Kamgarpour

Although various distributed machine learning schemes have been proposed recently for pure linear models and fully nonparametric models, little attention has been paid on distributed optimization for semi-paramemetric models with…

机器学习 · 统计学 2019-11-05 Shaogao Lv , Heng Lian

In this paper, we propose a novel probabilistic self-supervised learning via Scoring Rule Minimization (ProSMIN), which leverages the power of probabilistic models to enhance representation quality and mitigate collapsing representations.…

机器学习 · 计算机科学 2023-09-06 Amirhossein Vahidi , Simon Schoßer , Lisa Wimmer , Yawei Li , Bernd Bischl , Eyke Hüllermeier , Mina Rezaei

We present an algorithm for recovering planted solutions in two well-known models, the stochastic block model and planted constraint satisfaction problems, via a common generalization in terms of random bipartite graphs. Our algorithm…

数据结构与算法 · 计算机科学 2015-04-30 Vitaly Feldman , Will Perkins , Santosh Vempala

This paper addresses the problem of nonconvex nonsmooth decentralised optimisation in multi-agent networks with undirected connected communication graphs. Our contribution lies in introducing an algorithmic framework designed for the…

最优化与控制 · 数学 2023-12-08 Behnam Mafakheri , Jonathan H. Manton , Iman Shames

Distributed model fitting refers to the process of fitting a mathematical or statistical model to the data using distributed computing resources, such that computing tasks are divided among multiple interconnected computers or nodes, often…

统计计算 · 统计学 2024-06-04 Xiaofei Wu , Rongmei Liang , Fabio Roli , Marcello Pelillo , Jing Yuan