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In the LOCAL model, low-diameter decomposition is a useful tool in designing algorithms, as it allows us to shift from the general graph setting to the low-diameter graph setting, where brute-force information gathering can be done…

数据结构与算法 · 计算机科学 2026-03-25 Yi-Jun Chang

In theoretical computer science, it is a common practice to show existential lower bounds for problems, meaning there is a family of pathological inputs on which no algorithm can do better. However, most inputs of interest can be solved…

数据结构与算法 · 计算机科学 2023-04-14 Yi-Jun Chang , Oren Hecht , Dean Leitersdorf

In this work we focus our attention on distributed optimization problems in the context where the communication time between the server and the workers is non-negligible. We obtain novel methods supporting bidirectional compression (both…

最优化与控制 · 数学 2023-05-23 Kaja Gruntkowska , Alexander Tyurin , Peter Richtárik

This paper considers a distributed optimization problem in the presence of Byzantine agents capable of introducing untrustworthy information into the communication network. A resilient distributed subgradient algorithm is proposed based on…

最优化与控制 · 数学 2023-03-22 Jingxuan Zhu , Yixuan Lin , Alvaro Velasquez , Ji Liu

This papers studies multi-agent (convex and \emph{nonconvex}) optimization over static digraphs. We propose a general distributed \emph{asynchronous} algorithmic framework whereby i) agents can update their local variables as well as…

最优化与控制 · 数学 2019-09-12 Ye Tian , Ying Sun , Gesualdo Scutari

Pervasive computing promotes the installation of connected devices in our living spaces in order to provide services. Two major developments have gained significant momentum recently: an advanced use of edge resources and the integration of…

机器学习 · 计算机科学 2021-10-22 Sannara Ek , François Portet , Philippe Lalanda , German Vega

In a recent paper, Jaggi et al. (INFOCOM 2007), presented a distributed polynomial-time rate-optimal network-coding scheme that works in the presence of Byzantine faults. We revisit their adversarial models and augment them with three,…

信息论 · 计算机科学 2008-02-06 Leah Nutman , Michael Langberg

We study properties of Graph Convolutional Networks (GCNs) by analyzing their behavior on standard models of random graphs, where nodes are represented by random latent variables and edges are drawn according to a similarity kernel. This…

机器学习 · 统计学 2020-10-26 Nicolas Keriven , Alberto Bietti , Samuel Vaiter

This paper proposes a new approach that enables multi-agent systems to achieve resilient \textit{constrained} consensus in the presence of Byzantine attacks, in contrast to existing literature that is only applicable to…

系统与控制 · 电气工程与系统科学 2023-12-19 Xuan Wang , Shaoshuai Mou , Shreyas Sundaram

Two widely considered decentralized learning algorithms are Gossip and random walk-based learning. Gossip algorithms (both synchronous and asynchronous versions) suffer from high communication cost, while random-walk based learning…

机器学习 · 计算机科学 2024-05-14 Peyman Gholami , Hulya Seferoglu

Perturbations targeting the graph structure have proven to be extremely effective in reducing the performance of Graph Neural Networks (GNNs), and traditional defenses such as adversarial training do not seem to be able to improve…

机器学习 · 计算机科学 2020-10-30 Simon Geisler , Daniel Zügner , Stephan Günnemann

Byzantine robustness has received significant attention recently given its importance for distributed and federated learning. In spite of this, we identify severe flaws in existing algorithms even when the data across the participants is…

机器学习 · 计算机科学 2021-06-30 Sai Praneeth Karimireddy , Lie He , Martin Jaggi

We study the problem of finding a Hamiltonian cycle under the promise that the input graph has a minimum degree of at least $n/2$, where $n$ denotes the number of vertices in the graph. The classical theorem of Dirac states that such graphs…

分布式、并行与集群计算 · 计算机科学 2023-07-24 Noy Biton , Reut Levi , Moti Medina

A plethora of modern machine learning tasks require the utilization of large-scale distributed clusters as a critical component of the training pipeline. However, abnormal Byzantine behavior of the worker nodes can derail the training and…

机器学习 · 计算机科学 2023-05-16 Konstantinos Konstantinidis , Namrata Vaswani , Aditya Ramamoorthy

We study the design of energy-efficient algorithms for the LOCAL and CONGEST models. Specifically, as a measure of complexity, we consider the maximum, taken over all the edges, or over all the nodes, of the number of rounds at which an…

分布式、并行与集群计算 · 计算机科学 2023-04-06 Pierre Fraigniaud , Pedro Montealegre , Ivan Rapaport , Ioan Todinca

Graph problems are troublesome when it comes to MapReduce. Typically, to be able to design algorithms that make use of the advantages of MapReduce, assumptions beyond what the model imposes, such as the density of the input graph, are…

分布式、并行与集群计算 · 计算机科学 2018-05-15 Soheil Behnezhad , Mahsa Derakhshan , MohammadTaghi Hajiaghayi

We address fully-defective asynchronous networks, in which all links are subject to an unlimited number of alteration errors, implying that all messages in the network may be completely corrupted. Despite the possible intuition that such a…

分布式、并行与集群计算 · 计算机科学 2022-05-24 Keren Censor-Hillel , Shir Cohen , Ran Gelles , Gal Sela

Federated learning has emerged in the last decade as a distributed optimization paradigm due to the rapidly increasing number of portable devices able to support the heavy computational needs related to the training of machine learning…

机器学习 · 计算机科学 2024-10-10 Emanuel Buttaci , Giuseppe Carlo Calafiore

Distributed diffusion is a powerful algorithm for multi-task state estimation which enables networked agents to interact with neighbors to process input data and diffuse information across the network. Compared to a centralized approach,…

多智能体系统 · 计算机科学 2020-03-27 Jiani Li , Xenofon Koutsoukos

We provide a simple new randomized contraction approach to the global minimum cut problem for simple undirected graphs. The contractions exploit 2-out edge sampling from each vertex rather than the standard uniform edge sampling. We…

数据结构与算法 · 计算机科学 2019-09-04 Mohsen Ghaffari , Krzysztof Nowicki , Mikkel Thorup