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In this paper, we study the problem of distributed multi-agent optimization over a network, where each agent possesses a local cost function that is smooth and strongly convex. The global objective is to find a common solution that…

最优化与控制 · 数学 2019-08-02 Shi Pu , Angelia Nedić

Nesterov's accelerated gradient descent method (AGD) is a seminal deterministic first-order method known to achieve the optimal order of iteration complexity for solving convex smooth optimization problems. Two distinct sequences of…

最优化与控制 · 数学 2026-03-10 Yan Wu , Yipeng Zhang , Lu Liu , Yuyuan Ouyang

This paper presents a methodology and numerical algorithms for constructing accelerated gradient flows on the space of probability distributions. In particular, we extend the recent variational formulation of accelerated gradient methods in…

机器学习 · 计算机科学 2019-01-14 Amirhossein Taghvaei , Prashant G. Mehta

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

We introduce a technique called graph fission which takes in a graph which potentially contains only one observation per node (whose distribution lies in a known class) and produces two (or more) independent graphs with the same node/edge…

统计方法学 · 统计学 2024-01-30 James Leiner , Aaditya Ramdas

We explore training Binary Neural Networks (BNNs) as a discrete variable inference problem over a factor graph. We study the behaviour of this conversion in an under-parameterized BNN setting and propose stochastic versions of Belief…

机器学习 · 计算机科学 2022-04-06 Amir Khoshaman , Giuseppe Castiglione , Christopher Srinivasa

As edge computing capabilities increase, model learning deployments in diverse edge environments have emerged. In experimental design networks, introduced recently, network routing and rate allocation are designed to aid the transfer of…

网络与互联网体系结构 · 计算机科学 2024-01-11 Yuanyuan Li , Lili Su , Carlee Joe-Wong , Edmund Yeh , Stratis Ioannidis

In this work, we study the task of distributed optimization over a network of learners in which each learner possesses a convex cost function, a set of affine equality constraints, and a set of convex inequality constraints. We propose a…

最优化与控制 · 数学 2015-06-18 Zaid J. Towfic , Ali H. Sayed

In this work, we propose a distributed algorithm for stochastic non-convex optimization. We consider a worker-server architecture where a set of $K$ worker nodes (WNs) in collaboration with a server node (SN) jointly aim to minimize a…

In this paper, we propose a novel distributed algorithm for consensus optimization over networks and a robust extension tailored to deal with asynchronous agents and packet losses. Indeed, to robustly achieve dynamic consensus on the…

最优化与控制 · 数学 2025-09-04 Guido Carnevale , Nicola Bastianello , Giuseppe Notarstefano , Ruggero Carli

We analyze a modified version of Nesterov accelerated gradient algorithm, which applies to affine fixed point problems with non self-adjoint matrices, such as the ones appearing in the theory of Markov decision processes with discounted or…

最优化与控制 · 数学 2021-07-05 Marianne Akian , Stéphane Gaubert , Zheng Qu , Omar Saadi

Recent studies incorporate Nesterov's accelerated gradient method for the acceleration of gradient based training. The Nesterov's Accelerated Quasi-Newton (NAQ) method has shown to drastically improve the convergence speed compared to the…

机器学习 · 计算机科学 2020-10-16 S. Indrapriyadarsini , Shahrzad Mahboubi , Hiroshi Ninomiya , Hideki Asai

Consensus strategies find a variety of applications in distributed coordination and decision making in multi-agent systems. In particular, average consensus plays a key role in a number of applications and is closely associated with two…

多智能体系统 · 计算机科学 2012-10-17 Themistoklis Charalambous , Christoforos N. Hadjicostis

Matrix factorization is a common machine learning technique for recommender systems. Despite its high prediction accuracy, the Bayesian Probabilistic Matrix Factorization algorithm (BPMF) has not been widely used on large scale data because…

分布式、并行与集群计算 · 计算机科学 2017-05-12 Tom Vander Aa , Imen Chakroun , Tom Haber

There is growing interest in large-scale machine learning and optimization over decentralized networks, e.g. in the context of multi-agent learning and federated learning. Due to the imminent need to alleviate the communication burden, the…

机器学习 · 统计学 2020-09-02 Boyue Li , Shicong Cen , Yuxin Chen , Yuejie Chi

We introduce a novel training principle for probabilistic models that is an alternative to maximum likelihood. The proposed Generative Stochastic Networks (GSN) framework is based on learning the transition operator of a Markov chain whose…

机器学习 · 计算机科学 2014-05-27 Yoshua Bengio , Éric Thibodeau-Laufer , Guillaume Alain , Jason Yosinski

In this paper, the distributed resource allocation problem on strongly connected and weight-balanced digraphs is investigated, where the decisions of each agent are restricted to satisfy the coupled network resource constraints and…

最优化与控制 · 数学 2022-03-10 Xiaohong Nian , Fan Li , Dongxin Liu

The computation of stationary distributions of Markov chains is an important task in the simulation of stochastic models. The linear systems arising in such applications involve non-symmetric M-matrices, making algebraic multigrid methods a…

数值分析 · 数学 2014-02-18 James Brannick , Karsten Kahl , Sonja Sokolovic

In the field of financial derivatives trading, managing volatility risk is crucial for protecting investment portfolios from market changes. Traditional Vega hedging strategies, which often rely on basic and rule-based models, are hard to…

机器学习 · 计算机科学 2025-02-26 Lei Zhao , Lin Cai , Wu-Sheng Lu

We consider the setting of agents cooperatively minimizing the sum of local objectives plus a regularizer on a graph. This paper proposes a primal-dual method in consideration of three distinctive attributes of real-life multi-agent…

最优化与控制 · 数学 2023-12-11 Ziyi Yu , Nikolaos M. Freris