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In distributed machine learning, where agents collaboratively learn from diverse private data sets, there is a fundamental tension between consensus and optimality. In this paper, we build on recent algorithmic progresses in distributed…

Machine Learning · Statistics 2018-05-31 Zhanhong Jiang , Aditya Balu , Chinmay Hegde , Soumik Sarkar

Multi-agent consensus problems can often be seen as a sequence of autonomous and independent local choices between a finite set of decision options, with each local choice undertaken simultaneously, and with a shared goal of achieving a…

Artificial Intelligence · Computer Science 2021-05-12 David Kohan Marzagão , Luciana Basualdo Bonatto , Tiago Madeira , Marcelo Matheus Gauy , Peter McBurney

In this paper we address the problem of designing an interruptible system in a setting in which $n$ problem instances, all equally important, must be solved concurrently. The system involves scheduling executions of contract algorithms…

Data Structures and Algorithms · Computer Science 2018-10-29 Spyros Angelopoulos , Alejandro Lopez-Ortiz

We study the online preemptive scheduling of intervals and jobs (with restarts). Each interval or job has an arrival time, a deadline, a length and a weight. The objective is to maximize the total weight of completed intervals or jobs.…

Data Structures and Algorithms · Computer Science 2012-04-16 Stanley P. Y. Fung , Chung Keung Poon , Feifeng Zheng

We consider the classic problem of scheduling a set of n jobs non-preemptively on a single machine. Each job j has non-negative processing time, weight, and deadline, and a feasible schedule needs to be consistent with chain-like precedence…

Data Structures and Algorithms · Computer Science 2015-07-06 Hossein Efsandiari , MohammadTaghi Hajiaghyi , Jochen Koenemann , Hamid Mahini , David Malec , Laura Sanita

In large scale collective decision making, social choice is a normative study of how one ought to design a protocol for reaching consensus. However, in instances where the underlying decision space is too large or complex for ordinal…

Computer Science and Game Theory · Computer Science 2017-10-03 Brandon Fain , Ashish Goel , Kamesh Munagala , Sukolsak Sakshuwong

In this paper we study a discrete time consensus model on a connected graph with monotonically increasing peer-pressure and noise perturbed outputs masking a hidden state. We assume that each agent maintains a constant hidden state and a…

Physics and Society · Physics 2023-07-05 Christopher Griffin , Anna Squicciarini , Feiran Jia

We consider the problem of clustering noisy high-dimensional data points into a union of low-dimensional subspaces and a set of outliers. The number of subspaces, their dimensions, and their orientations are unknown. A probabilistic…

Information Theory · Computer Science 2013-07-19 Reinhard Heckel , Helmut Bölcskei

We study two fundamental problems of distributed computing, consensus and approximate agreement, through a novel approach for proving lower bounds and impossibility results, that we call the asynchronous speedup theorem. For a given…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-11-21 Pierre Fraigniaud , Ami Paz , Sergio Rajsbaum

Scheduling with testing is a recent online problem within the framework of explorable uncertainty motivated by environments where some preliminary action can influence the duration of a task. Jobs have an unknown processing time that can be…

Data Structures and Algorithms · Computer Science 2021-08-20 Susanne Albers , Alexander Eckl

We introduce a class of exactly solvable models which exhibit an ordering noise-induced phase transition driven by an entropic mechanism. In contrast with previous studies, order does not appear in this case as a result of an instability of…

Condensed Matter · Physics 2007-05-23 M. Ibanes , J. Garcia-Ojalvo , R. Toral , J. M. Sancho

We study data-driven stabilization of continuous-time systems in autoregressive form when only noisy input-output data are available. First, we provide an operator-based characterization of the set of systems consistent with the data. Next,…

Optimization and Control · Mathematics 2026-02-04 Masashi Wakaiki

Learning monotonic models with respect to a subset of the inputs is a desirable feature to effectively address the fairness, interpretability, and generalization issues in practice. Existing methods for learning monotonic neural networks…

Machine Learning · Computer Science 2022-12-16 Xingchao Liu , Xing Han , Na Zhang , Qiang Liu

We consider the plurality consensus problem among $n$ agents. Initially, each agent has one of $k$ different opinions. Agents choose random interaction partners and revise their state according to a fixed transition function, depending on…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-12-01 Gregor Bankhamer , Petra Berenbrink , Felix Biermeier , Robert Elsässer , Hamed Hosseinpour , Dominik Kaaser , Peter Kling

We introduce a modified Consensus-Based Optimization model that admits a fully unified and rigorous analysis of its finite-particle dynamics, the associated McKean--Vlasov equation, and their optimization behavior under a single set of…

Probability · Mathematics 2025-11-25 Young-Pil Choi , Seungchan Lee , Sihyun Song

This paper considers a localized data-driven consensus problem for leader-follower multi-agent systems with unknown discrete-time agent dynamics, where each follower computes its local control gain using only their locally collected state…

Systems and Control · Electrical Eng. & Systems 2024-01-24 Zeze Chang , Junjie Jiao , Zhongkui Li

This paper studies non-trivial consensus--a relatively novel and unexplored convergence behavior--on directed signed matrix-weighted networks subject to both additive and multiplicative measurement noises under time-varying topologies.…

Systems and Control · Electrical Eng. & Systems 2026-03-17 Tianmu Niu , Xiaoqun Wu

Consistency models possess high capabilities for image generation, advancing sampling steps to a single step through their advanced techniques. Current advancements move one step forward consistency training techniques and eliminates the…

Machine Learning · Computer Science 2024-04-10 Mahmut S. Gokmen , Cody Bumgardner , Jie Zhang , Ge Wang , Jin Chen

We develop and analyze concurrent algorithms for the disjoint set union (union-find) problem in the shared memory, asynchronous multiprocessor model of computation, with CAS (compare and swap) or DCAS (double compare and swap) as the…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-03-04 Siddhartha V. Jayanti , Robert E. Tarjan

We present a loosely-stabilizing phase clock for population protocols. In the population model we are given a system of $n$ identical agents which interact in a sequence of randomly chosen pairs. Our phase clock is leaderless and it…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-12-03 Petra Berenbrink , Felix Biermeier , Christopher Hahn , Dominik Kaaser