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Recently, there has been an increasing interest in designing distributed convex optimization algorithms under the setting where the data matrix is partitioned on features. Algorithms under this setting sometimes have many advantages over…

Machine Learning · Computer Science 2016-12-05 Zihao Chen , Luo Luo , Zhihua Zhang

In this work, we study the experts problem in the distributed setting where an expert's cost needs to be aggregated across multiple servers. Our study considers various communication models such as the message-passing model and the…

Machine Learning · Computer Science 2025-01-07 Zhihao Jia , Qi Pang , Trung Tran , David Woodruff , Zhihao Zhang , Wenting Zheng

The problem of distributed or decentralized detection and estimation in applications such as wireless sensor networks has often been considered in the framework of parametric models, in which strong assumptions are made about a statistical…

Information Theory · Computer Science 2015-06-25 Joel B. Predd , Sanjeev R. Kulkarni , H. Vincent Poor

Distributed computing models typically assume reliable communication between processors. While such assumptions often hold for engineered networks, e.g., due to underlying error correction protocols, their relevance to biological systems,…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-06-29 Ofer Feinerman , Bernhard Haeupler , Amos Korman

Nonparametric regression imputation is commonly used in missing data analysis. However, it suffers from the ``curse of dimension". The problem can be alleviated by the explosive sample size in the era of big data, while the large-scale data…

Methodology · Statistics 2023-09-26 Ruoyu Wang , Miaomiao Su , Qihua Wang

We consider the problem of distributedly estimating Gaussian processes in multi-agent frameworks. Each agent collects few measurements and aims to collaboratively reconstruct a common estimate based on all data. Agents are assumed with…

Multiagent Systems · Computer Science 2018-05-11 Gianluigi Pillonetto , Luca Schenato , Damiano Varagnolo

Motivated by multi-center biomedical studies that cannot share individual data due to privacy and ownership concerns, we develop communication-efficient iterative distributed algorithms for estimation and inference in the high-dimensional…

Methodology · Statistics 2024-06-25 Pierre Bayle , Jianqing Fan , Zhipeng Lou

Nonparametric Bayesian models are used routinely as flexible and powerful models of complex data. Many times, a statistician may have additional informative beliefs about data distribution of interest, e.g., its mean or subset components,…

Methodology · Statistics 2022-11-08 Bingjing Tang , Vinayak Rao

This paper addresses the problem of distributed learning under communication constraints, motivated by distributed signal processing in wireless sensor networks and data mining with distributed databases. After formalizing a general model…

Machine Learning · Computer Science 2016-11-15 Joel B. Predd , Sanjeev R. Kulkarni , H. Vincent Poor

In this paper, we revisit the communication vs. distributed computing trade-off, studied within the framework of MapReduce in [1]. An implicit assumption in the aforementioned work is that each server performs all possible computations on…

Information Theory · Computer Science 2017-05-26 Yahya H. Ezzeldin , Mohammed Karmoose , Christina Fragouli

In distributed statistical learning, $N$ samples are split across $m$ machines and a learner wishes to use minimal communication to learn as well as if the examples were on a single machine. This model has received substantial interest in…

Machine Learning · Computer Science 2019-03-19 Jayadev Acharya , Christopher De Sa , Dylan J. Foster , Karthik Sridharan

We study an extension of the standard two-party communication model in which Alice and Bob hold probability distributions $p$ and $q$ over domains $X$ and $Y$, respectively. Their goal is to estimate \[ \mathbb{E}_{x \sim p,\, y \sim…

Computational Complexity · Computer Science 2025-12-02 Parikshit Gopalan , Raghu Meka , Prasad Raghavendra , Mihir Singhal , Avi Wigderson

We consider a standard distributed optimisation setting where $N$ machines, each holding a $d$-dimensional function $f_i$, aim to jointly minimise the sum of the functions $\sum_{i = 1}^N f_i (x)$. This problem arises naturally in…

Machine Learning · Computer Science 2021-12-08 Dan Alistarh , Janne H. Korhonen

This paper is concerned with the problem of distributed estimation for time-varying interconnected dynamic systems with arbitrary coupling structures. To guarantee the robustness of the designed estimators, novel distributed stability…

Systems and Control · Electrical Eng. & Systems 2022-06-02 Yuchen Zhang , Bo Chen , Li Yu , Daniel W. C. Ho

We propose communication-efficient distributed estimation and inference methods for the transelliptical graphical model, a semiparametric extension of the elliptical distribution in the high dimensional regime. In detail, the proposed…

Machine Learning · Statistics 2016-12-30 Pan Xu , Lu Tian , Quanquan Gu

We consider a number of fundamental statistical and graph problems in the message-passing model, where we have $k$ machines (sites), each holding a piece of data, and the machines want to jointly solve a problem defined on the union of the…

Data Structures and Algorithms · Computer Science 2013-07-29 David P. Woodruff , Qin Zhang

Estimating statistical models within sensor networks requires distributed algorithms, in which both data and computation are distributed across the nodes of the network. We propose a general approach for distributed learning based on…

Machine Learning · Computer Science 2012-07-03 Qiang Liu , Alexander Ihler

This paper considers distributed online nonconvex optimization with time-varying inequality constraints over a network of agents, where the nonconvex local loss and convex local constraint functions can vary arbitrarily across iterations.…

Optimization and Control · Mathematics 2025-11-19 Kunpeng Zhang , Lei Xu , Xinlei Yi , Guanghui Wen , Ming Cao , Karl H. Johansson , Tianyou Chai , Tao Yang

We consider distributed parameter estimation using interactive protocols subject to local information constraints such as bandwidth limitations, local differential privacy, and restricted measurements. We provide a unified framework…

Data Structures and Algorithms · Computer Science 2022-11-17 Jayadev Acharya , Clément L. Canonne , Ziteng Sun , Himanshu Tyagi

We consider the problem of communication efficient distributed optimization where multiple nodes exchange important algorithm information in every iteration to solve large problems. In particular, we focus on the stochastic variance-reduced…

Machine Learning · Computer Science 2020-03-16 Hossein S. Ghadikolaei , Sindri Magnusson