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We present a binary routing tree protocol for distributed hash table overlays. Using this protocol each peer can independently route messages to its parent and two descendants on the fly without any maintenance, global context, and…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-01-15 Ran Wolff

Given a positive integer $k$, $k$-set agreement is the distributed task in which each process $i\in [n]$ in a group of $n$ processing nodes starts with an input value $x_i$ in the set $\{0,\dots,k\}$, and must output a value $y_i$ such that…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-01-14 Pierre Fraigniaud , Minh Hang Nguyen , Ami Paz

We present a self-stabilizing protocol for an overlay network that constructs the Minimum Spanning Tree (MST) for an underlay that is modeled by a weighted tree. The weight of an overlay edge between two nodes is the weighted length of…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-09-10 Thorsten Götte , Christian Scheideler , Alexander Setzer

This paper focuses on showing time-message trade-offs in distributed algorithms for fundamental problems such as leader election, broadcast, spanning tree (ST), minimum spanning tree (MST), minimum cut, and many graph verification problems.…

Data Structures and Algorithms · Computer Science 2018-10-09 Robert Gmyr , Gopal Pandurangan

In this work, we propose an algorithm for solving exact sparse linear regression problems over a network in a distributed manner. Particularly, we consider the problem where data is stored among different computers or agents that seek to…

Optimization and Control · Mathematics 2022-04-04 Tu Anh-Nguyen , César A. Uribe

In a $k$-party communication problem, the $k$ players with inputs $x_1, x_2, \ldots, x_k$, respectively, want to evaluate a function $f(x_1, x_2, \ldots, x_k)$ using as little communication as possible. We consider the message-passing…

Computational Complexity · Computer Science 2021-12-01 Elbert Du , Michael Mitzenmacher , David P. Woodruff , Guang Yang

In this paper we describe a parameterized family of first-order distributed optimization algorithms that enable a network of agents to collaboratively calculate a decision variable that minimizes the sum of cost functions at each agent.…

Optimization and Control · Mathematics 2023-08-15 Israel L. Donato Ridgley , Randy A. Freeman , Kevin M. Lynch

Given an undirected graph $G$ and a parameter $k$, the $k$-Leaf Spanning Tree ($k$-LST) problem asks if $G$ contains a spanning tree with at least $k$ leaves. This problem has been extensively studied over the past three decades. In 2000,…

Data Structures and Algorithms · Computer Science 2015-05-12 Meirav Zehavi

The network reconfiguration problem seeks to find a rooted tree $T$ such that the energy of the (unique) feasible electrical flow over $T$ is minimized. The tree requirement on the support of the flow is motivated by operational constraints…

Data Structures and Algorithms · Computer Science 2023-08-24 Swati Gupta , Ali Khodabakhsh , Hassan Mortagy , Evdokia Nikolova

Self-stabilizing distributed control is often modeled by token abstractions. A system with a single token may implement mutual exclusion; a system with multiple tokens may ensure that immediate neighbors do not simultaneously enjoy a…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-05-13 Kajari Ghosh Dastidar , Ted Herman

We study the classic $k$-means/median clustering, which are fundamental problems in unsupervised learning, in the setting where data are partitioned across multiple sites, and where we are allowed to discard a small portion of the data by…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-10-12 Jiecao Chen , Erfan Sadeqi Azer , Qin Zhang

We propose a general framework to build certified proofs of distributed self-stabilizing algorithms with the proof assistant Coq. We first define in Coq the locally shared memory model with composite atomicity, the most commonly used model…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-06-22 Karine Altisen , Pierre Corbineau , Stephane Devismes

This paper focuses on the Private Linear Transformation (PLT) problem in the multi-server scenario. In this problem, there are $N$ servers, each of which stores an identical copy of a database consisting of $K$ independent messages, and…

Information Theory · Computer Science 2021-08-24 Fatemeh Kazemi , Alex Sprintson

We develop a novel decentralized control method for a network of perturbed linear systems with dynamical couplings subject to Signal Temporal Logic (STL) specifications. We first transform the STL requirements into set containment problems…

Systems and Control · Electrical Eng. & Systems 2022-07-04 Kasra Ghasemi , Sadra Sadraddini , Calin Belta

We introduce and study the $k$-center clustering problem with set outliers, a natural and practical generalization of the classical $k$-center clustering with outliers. Instead of removing individual data points, our model allows discarding…

Data Structures and Algorithms · Computer Science 2025-12-23 Vaishali Surianarayanan , Neeraj Kumar , Stavros Sintos

We consider the following online optimization problem. We are given a graph $G$ and each vertex of the graph is assigned to one of $\ell$ servers, where servers have capacity $k$ and we assume that the graph has $\ell \cdot k$ vertices.…

Data Structures and Algorithms · Computer Science 2020-11-03 Monika Henzinger , Stefan Neumann , Harald Räcke , Stefan Schmid

In this paper, we consider the message forwarding problem that consists in managing the network resources that are used to forward messages. Previous works on this problem provide solutions that either use a significant number of buffers…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-08-01 Alain Cournier , Swan Dubois , Anissa Lamani , Franck Petit , Vincent Villain

This paper considers a probabilistic generalization of the $N$-$k$ failure-identification problem in power transmission networks, where the probability of failure of each component in the network is known a priori and the goal of the…

Systems and Control · Computer Science 2021-05-06 Kaarthik Sundar , Carleton Coffrin , Harsha Nagarajan , Russell Bent

Out-of-distribution (O.O.D.) generalization remains to be a key challenge for real-world machine learning systems. We describe a method for O.O.D. generalization that, through training, encourages models to only preserve features in the…

Machine Learning · Computer Science 2022-08-09 Arjun Ashok , Chaitanya Devaguptapu , Vineeth Balasubramanian

The article introduces the stochastic N-k interdiction problem for power grid operations and planning that aims to identify a subset of k components (out of N components) that maximizes the expected damage, measured in terms of load shed.…

Optimization and Control · Mathematics 2024-02-02 Kaarthik Sundar , Andrew Mastin , Manuel Garcia , Russell Bent , Jean-Paul Watson