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Generating graphs that preserve characteristic structures while promoting sample diversity can be challenging, especially when the number of graph observations is small. Here, we tackle the problem of graph generation from only one observed…

机器学习 · 统计学 2024-04-08 Gesine Reinert , Wenkai Xu

We propose a simple algorithm to train stochastic neural networks to draw samples from given target distributions for probabilistic inference. Our method is based on iteratively adjusting the neural network parameters so that the output…

机器学习 · 统计学 2016-11-29 Dilin Wang , Qiang Liu

This paper discusses distributed optimization over a directed graph. We begin with some well known algorithms which achieve consensus among agents including FROST [1], which possesses the quickest convergence to the optimum. It is a well…

最优化与控制 · 数学 2021-02-12 Shuubham Ojha , Ketan Rajawat

In this paper, we propose a unified view of gradient-based algorithms for stochastic convex composite optimization by extending the concept of estimate sequence introduced by Nesterov. More precisely, we interpret a large class of…

机器学习 · 统计学 2020-09-07 Andrei Kulunchakov , Julien Mairal

We consider the problem of achieving average consensus among multiple agents, where the inter-agent communication network is depicted by a graph. We consider the discrete-time consensus protocol where each agent updates its value as a…

系统与控制 · 电气工程与系统科学 2021-11-30 Kiran Rokade , Rachel Kalpana Kalaimani

In this paper, we revisit a well-known distributed projected subgradient algorithm which aims to minimize a sum of cost functions with a common set constraint. In contrast to most of existing results, weight matrices of the time-varying…

最优化与控制 · 数学 2021-04-29 Weijian Li , Zihan Chen , Youcheng Lou , Yiguang Hong

Due to the explosion in the size of the training datasets, distributed learning has received growing interest in recent years. One of the major bottlenecks is the large communication cost between the central server and the local workers.…

机器学习 · 计算机科学 2022-02-25 Yujia Wang , Lu Lin , Jinghui Chen

Driven by the need to solve increasingly complex optimization problems in signal processing and machine learning, there has been increasing interest in understanding the behavior of gradient-descent algorithms in non-convex environments.…

最优化与控制 · 数学 2019-07-04 Stefan Vlaski , Ali H. Sayed

We propose an adaptive scheme for distributed learning of nonlinear functions by a network of nodes. The proposed algorithm consists of a local adaptation stage utilizing multiple kernels with projections onto hyperslabs and a diffusion…

信号处理 · 电气工程与系统科学 2018-09-05 Ban-Sok Shin , Masahiro Yukawa , Renato Luis Garrido Cavalcante , Armin Dekorsy

We propose AdaNAG, an adaptive accelerated gradient method based on Nesterov's accelerated gradient method. AdaNAG is line-search-free, parameter-free, and achieves the accelerated convergence rates $f(x_k) - f_\star =…

最优化与控制 · 数学 2025-05-20 Jaewook J. Suh , Shiqian Ma

The inference and training stages of Graph Neural Networks (GNNs) are often dominated by the time required to compute a long sequence of matrix multiplications between the sparse graph adjacency matrix and its embedding. To accelerate these…

Gradients have been exploited in proposal distributions to accelerate the convergence of Markov chain Monte Carlo algorithms on discrete distributions. However, these methods require a natural differentiable extension of the target discrete…

机器学习 · 计算机科学 2023-02-28 Yue Xiang , Dongyao Zhu , Bowen Lei , Dongkuan Xu , Ruqi Zhang

In this paper, we consider the problem of distributed pose graph optimization (PGO) that has extensive applications in multi-robot simultaneous localization and mapping (SLAM). We propose majorization minimization methods to distributed PGO…

最优化与控制 · 数学 2021-05-05 Taosha Fan , Todd Murphey

Traditionally, neural networks are parameterized using optimization procedures such as stochastic gradient descent, RMSProp and ADAM. These procedures tend to drive the parameters of the network toward a local minimum. In this article, we…

机器学习 · 计算机科学 2020-01-07 Benedict Leimkuhler , Charles Matthews , Tiffany Vlaar

Agent-Based Models (ABMs) are powerful tools for studying emergent properties in complex systems. In ABMs, agent behaviors are governed by local interactions and stochastic rules. However, these rules are, in general, non-differentiable,…

人工智能 · 计算机科学 2025-11-27 Francesco Cozzi , Marco Pangallo , Alan Perotti , André Panisson , Corrado Monti

This paper proposes a novel family of primal-dual-based distributed algorithms for smooth, convex, multi-agent optimization over networks that uses only gradient information and gossip communications. The algorithms can also employ…

最优化与控制 · 数学 2020-03-04 Jinming Xu , Ye Tian , Ying Sun , Gesualdo Scutari

We develop a Distributed Event-Triggered Stochastic GRAdient Descent (DETSGRAD) algorithm for solving non-convex optimization problems typically encountered in distributed deep learning. We propose a novel communication triggering mechanism…

最优化与控制 · 数学 2019-09-12 Jemin George , Prudhvi Gurram

We introduce a new approach for amortizing inference in directed graphical models by learning heuristic approximations to stochastic inverses, designed specifically for use as proposal distributions in sequential Monte Carlo methods. We…

机器学习 · 统计学 2018-03-09 Brooks Paige , Frank Wood

The mobile robot dispersion problem on graphs asks $k\leq n$ robots placed initially arbitrarily on the nodes of an $n$-node anonymous graph to reposition autonomously to reach a configuration in which each robot is on a distinct node of…

分布式、并行与集群计算 · 计算机科学 2019-04-30 Ajay D. Kshemkalyani , Anisur Rahaman Molla , Gokarna Sharma

Traffic flow forecasting on graphs has real-world applications in many fields, such as transportation system and computer networks. Traffic forecasting can be highly challenging due to complex spatial-temporal correlations and non-linear…

机器学习 · 计算机科学 2022-07-13 Aosong Feng , Leandros Tassiulas
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