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In this paper, we tackle the transductive semi-supervised learning problem that aims to obtain label predictions for the given unlabeled data points according to Vapnik's principle. Our proposed approach is based on optimal transport, a…

Machine Learning · Computer Science 2021-10-05 Mourad El Hamri , Younès Bennani , Issam Falih

In this paper we propose a distributed algorithm for the estimation and control of the connectivity of ad-hoc networks in the presence of a random topology. First, given a generic random graph, we introduce a novel stochastic power…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-06-17 Paolo Di Lorenzo , Sergio Barbarossa

Motivated by distributed machine learning settings such as Federated Learning, we consider the problem of fitting a statistical model across a distributed collection of heterogeneous data sets whose similarity structure is encoded by a…

Statistics Theory · Mathematics 2021-11-30 Dominic Richards , Sahand N. Negahban , Patrick Rebeschini

This paper addresses the problem of distributed detection in multi-agent networks. Agents receive private signals about an unknown state of the world. The underlying state is globally identifiable, yet informative signals may be dispersed…

Optimization and Control · Mathematics 2014-10-01 Shahin Shahrampour , Alexander Rakhlin , Ali Jadbabaie

We study finite-sum nonlinear programs with localized variable coupling encoded by a (hyper)graph. We introduce a graph-compliant decomposition framework that brings message passing into continuous optimization in a rigorous, implementable,…

Optimization and Control · Mathematics 2026-01-19 Kuangyu Ding , Marie Maros , Gesualdo Scutari

We study strongly convex distributed optimization problems where a set of agents are interested in solving a separable optimization problem collaboratively. In this paper, we propose and study a two time-scale decentralized gradient descent…

Optimization and Control · Mathematics 2022-08-16 Hadi Reisizadeh , Behrouz Touri , Soheil Mohajer

In this empirical paper, we investigate how learning agents can be arranged in more efficient communication topologies for improved learning. This is an important problem because a common technique to improve speed and robustness of…

Machine Learning · Computer Science 2019-03-05 Dhaval Adjodah , Dan Calacci , Abhimanyu Dubey , Peter Krafft , Esteban Moro , Alex `Sandy' Pentland

We show that the problem of constructing tree-structured descriptions of data layouts that are optimal with respect to space or other criteria from given sequences of displacements, can be solved in polynomial time. The problem is relevant…

Data Structures and Algorithms · Computer Science 2015-07-01 Robert Ganian , Martin Kalany , Stefan Szeider , Jesper Larsson Träff

We propose an algorithm for distributed optimization over time-varying communication networks. Our algorithm uses an optimized ratio between the number of rounds of communication and gradient evaluations to achieve fast convergence. The…

Optimization and Control · Mathematics 2020-01-08 Bryan Van Scoy , Laurent Lessard

We consider the problem of learning the structure of undirected graphical models with bounded treewidth, within the maximum likelihood framework. This is an NP-hard problem and most approaches consider local search techniques. In this…

Machine Learning · Computer Science 2012-12-12 K. S. Sesh Kumar , Francis Bach

The problem of training spiking neural networks (SNNs) is a necessary precondition to understanding computations within the brain, a field still in its infancy. Previous work has shown that supervised learning in multi-layer SNNs enables…

Neural and Evolutionary Computing · Computer Science 2018-03-12 Amirhossein Tavanaei , Anthony S. Maida

We consider distributed optimization by a collection of nodes, each having access to its own convex function, whose collective goal is to minimize the sum of the functions. The communications between nodes are described by a time-varying…

Optimization and Control · Mathematics 2014-03-18 Angelia Nedic , Alex Olshevsky

This paper studies the distributed average tracking problem pertaining to a discrete-time linear time-invariant multi-agent network, which is subject to, concurrently, input delays, random packet-drops, and reference noise. The problem…

Systems and Control · Electrical Eng. & Systems 2020-01-23 Fei Chen , Changjiang Chen , Ge Guo , Changchun Hua , Guanrong Chen

We address nonconvex learning problems over undirected networks. In particular, we focus on the challenge of designing an algorithm that is both communication-efficient and that guarantees the privacy of the agents' data. The first goal is…

Machine Learning · Computer Science 2026-04-06 Xiaoxing Ren , Yuwen Ma , Nicola Bastianello , Karl H. Johansson , Thomas Parisini , Andreas A. Malikopoulos

The paper studies distributed Dictionary Learning (DL) problems where the learning task is distributed over a multi-agent network with time-varying (nonsymmetric) connectivity. This formulation is relevant, for instance, in big-data…

Optimization and Control · Mathematics 2016-12-23 Amir Daneshmand , Gesualdo Scutari , Francisco Facchinei

The wireless network is undergoing a trend from "onnection of things" to "connection of intelligence". With data spread over the communication networks and computing capability enhanced on the devices, distributed learning becomes a hot…

Information Theory · Computer Science 2021-08-03 Jian Wang , Yourui Huangfu , Rong Li , Yiqun Ge , Jun Wang

We consider a discrete-time model of continuous-time distributed optimization over dynamic directed-graphs (digraphs) with applications to distributed learning. Our optimization algorithm works over general strongly connected dynamic…

Optimization and Control · Mathematics 2024-03-27 Mohammadreza Doostmohammadian , Wei Jiang , Muwahida Liaquat , Alireza Aghasi , Houman Zarrabi

Distributed data-parallel algorithms aim to accelerate the training of deep neural networks by parallelizing the computation of large mini-batch gradient updates across multiple nodes. Approaches that synchronize nodes using exact…

Machine Learning · Computer Science 2020-04-23 Mahmoud Assran , Nicolas Loizou , Nicolas Ballas , Michael Rabbat

We study the problem of collective tree exploration in which a team of $k$ mobile agents must collectively visit all nodes of an unknown tree in as few moves as possible. The agents all start from the root and discover adjacent edges as…

Data Structures and Algorithms · Computer Science 2025-07-22 Romain Cosson , Laurent Massoulié

This paper considers a distributed convex optimization problem over a time-varying multi-agent network, where each agent has its own decision variables that should be set so as to minimize its individual objective subject to local…

Optimization and Control · Mathematics 2018-05-22 Chuanye Gu , Zhiyou Wu , Jueyou Li , Yaning Guo
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