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In distributed machine learning, data is dispatched to multiple machines for processing. Motivated by the fact that similar data points often belong to the same or similar classes, and more generally, classification rules of high accuracy…

Machine Learning · Computer Science 2016-12-16 Travis Dick , Mu Li , Venkata Krishna Pillutla , Colin White , Maria Florina Balcan , Alex Smola

This paper studies the shuffling phase in a distributed computing model with rate-limited links between nodes. Each node is connected to all other nodes via a noiseless broadcast link with a finite capacity. For this network, the shuffling…

Information Theory · Computer Science 2024-05-07 Shanuja Sasi , Onur Günlü

Arrival of multicore systems has enforced a new scenario in computing, the parallel and distributed algorithms are fast replacing the older sequential algorithms, with many challenges of these techniques. The distributed algorithms provide…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-11-13 Rajendra Purohit , K R Chowdhary , S D Purohit

This thesis is concerned with distributed control and coordination of networks consisting of multiple, potentially mobile, agents. This is motivated mainly by the emergence of large scale networks characterized by the lack of centralized…

Optimization and Control · Mathematics 2010-10-01 Alex Olshevsky

Some of the most used sampling mechanisms that implicitly leverage a social network depend on tuning parameters; for instance, Respondent-Driven Sampling (RDS) is specified by the number of seeds and maximum number of referrals. We are…

Methodology · Statistics 2019-12-06 Simón Lunagómez , Marios Papamichalis , Patrick J. Wolfe , Edoardo M. Airoldi

Many stochastic optimization problems include chance constraints that enforce constraint satisfaction with a specific probability; however, solving an optimization problem with chance constraints assumes that the solver has access to the…

Optimization and Control · Mathematics 2021-09-21 Joshua Comden , Ahmed S. Zamzam , Andrey Bernstein

This paper studies hypothesis testing and parameter estimation in the context of the divide and conquer algorithm. In a unified likelihood based framework, we propose new test statistics and point estimators obtained by aggregating various…

Statistics Theory · Mathematics 2015-09-21 Heather Battey , Jianqing Fan , Han Liu , Junwei Lu , Ziwei Zhu

Computing the similarity between two probability distributions is a recurring theme across control. We introduce a unified family of distances between the probability distributions of two random variables that is based on the discrepancy…

Systems and Control · Electrical Eng. & Systems 2025-10-03 Alexandros E. Tzikas , Arec Jamgochian , Nazim Kemal Ure , Mykel J. Kochenderfer , Stephen P. Boyd

This paper focuses on the convergence of infor- mation in distributed systems of agents communicating over a network. The information on which the convergence is sought is not represented by real numbers, rather by sets of real numbers,…

Robotics · Computer Science 2011-01-13 Adriano Fagiolini , Nevio Dubbini , Antonio Bicchi

Backward reachability (also termed controllability) has been extensively studied in control theory, and tools for a wide class of systems have been developed. Nevertheless, assessing a backward reachability analysis or synthesis remains…

Optimization and Control · Mathematics 2021-09-13 Davide Liuzza , Paolo Falcone , Massimo Tipaldi , Luigi Glielmo

Computer systems have evolved over the years starting from sizable, single-user, slow, and expensive machines to multi-user, fast, cheaper, and small-sized machines. The use of multi-user computer networks has given rise to a new paradigm…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-02-09 Aneesh Khole , Atharva Thakar , Avadhoot Kulkarni , Hrithik Jadhav , Shreyas Shende , Varad Karajkhede

We study stochastic graph optimization problems in a novel distributed setting. As in the standard centralized setting, a random subgraph $G^*$ of a known base graph $G$ is realized by including each edge $e$ independently with a known…

Data Structures and Algorithms · Computer Science 2026-05-21 Keren Censor-Hillel , Aditi Dudeja , George Giakkoupis

In distributed and federated learning, heterogeneity across data sources remains a major obstacle to effective model aggregation and convergence. We focus on feature heterogeneity and introduce energy distance as a sensitive measure for…

Machine Learning · Statistics 2025-01-28 Mengchen Fan , Baocheng Geng , Roman Shterenberg , Joseph A. Casey , Zhong Chen , Keren Li

An unsupervised classification method for point events occurring on a network of lines is proposed. The idea relies on the distributional flexibility and practicality of random partition models to discover the clustering structure featuring…

The distributed inference framework comprises of a group of spatially distributed nodes which acquire observations about a phenomenon of interest. Due to bandwidth and energy constraints, the nodes often quantize their observations into a…

Cryptography and Security · Computer Science 2015-02-20 Bhavya Kailkhura , V. Sriram Siddhardh Nadendla , Pramod K. Varshney

Besides the complexity in time or in number of messages, a common approach for analyzing distributed algorithms is to look at the assumptions they make on the underlying network. We investigate this question from the perspective of network…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-05-02 Arnaud Casteigts , Serge Chaumette , Afonso Ferreira

Exchangeable models for countable vertex-labeled graphs cannot replicate the large sample behaviors of sparsity and power law degree distribution observed in many network datasets. Out of this mathematical impossibility emerges the question…

Statistics Theory · Mathematics 2016-10-24 Harry Crane , Walter Dempsey

Designing scalable estimation algorithms is a core challenge in modern statistics. Here we introduce a framework to address this challenge based on parallel approximants, which yields estimators with provable properties that operate on the…

Methodology · Statistics 2023-08-04 Aritra Chakravorty , William S. Cleveland , Patrick J. Wolfe

This work considers the problem of finding analytical expressions for the expected values of dis- tributed computing performance metrics when the underlying communication network has a complex structure. Through active probing tests a real…

Adaptation and Self-Organizing Systems · Physics 2013-11-18 Francisco Prieto-Castrillo , Antonio Astillero , María Botón-Fernández

This paper considers a distributionally robust chance constraint model with a general ambiguity set. We show that a sample based approximation of this model converges under suitable sufficient conditions. We also show that upper and lower…

Optimization and Control · Mathematics 2025-01-17 Jiaqi Lei , Sanjay Mehrotra