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The paper studies the distributed stochastic compositional optimization problems over networks, where all the agents' inner-level function is the sum of each agent's private expectation function. Focusing on the aggregative structure of the…

最优化与控制 · 数学 2022-11-10 Shengchao Zhao , Yongchao Liu

As the size of modern data sets exceeds the disk and memory capacities of a single computer, machine learning practitioners have resorted to parallel and distributed computing. Given that optimization is one of the pillars of machine…

机器学习 · 统计学 2019-12-10 Biyi Fang , Diego Klabjan

We study the distributed stochastic compositional optimization problems over directed communication networks in which agents privately own a stochastic compositional objective function and collaborate to minimize the sum of all objective…

最优化与控制 · 数学 2022-03-22 Shengchao Zhao , Yongchao Liu

In modern scientific research, massive datasets with huge numbers of observations are frequently encountered. To facilitate the computational process, a divide-and-conquer scheme is often used for the analysis of big data. In such a…

机器学习 · 统计学 2015-05-06 Chen Xu , Yongquan Zhang , Runze Li

In this paper, a streaming transmission setup is considered where an encoder observes a new message in the beginning of each block and a decoder sequentially decodes each message after a delay of $T$ blocks. In this streaming setup, the…

信息论 · 计算机科学 2016-04-26 Si-Hyeon Lee , Vincent Y. F. Tan , Ashish Khisti

In this research paper, we address the Distinct Elements estimation problem in the context of streaming algorithms. The problem involves estimating the number of distinct elements in a given data stream $\mathcal{A} = (a_1, a_2,\ldots,…

数据结构与算法 · 计算机科学 2023-06-13 Mridul Nandi , Soumit Paul

The degree distribution of a graph $G=(V,E)$, $|V|=n$, $|E|=m$ is one of the most fundamental objects of study in the analysis of graphs as it embodies relationship among entities. In particular, an important derived distribution from…

数据结构与算法 · 计算机科学 2025-07-30 Arijit Bishnu , Debarshi Chanda , Gopinath Mishra

High dimensional data and systems with many degrees of freedom are often characterized by covariance matrices. In this paper, we consider the problem of simultaneously estimating the dimension of the principal (dominant) subspace of these…

数值分析 · 计算机科学 2018-10-10 Shashanka Ubaru , Abd-Krim Seghouane , Yousef Saad

Fueled by massive data, important decision making is being automated with the help of algorithms, therefore, fairness in algorithms has become an especially important research topic. In this work, we design new streaming and distributed…

数据结构与算法 · 计算机科学 2020-02-25 Ashish Chiplunkar , Sagar Kale , Sivaramakrishnan Natarajan Ramamoorthy

This work studies distributed compression for the uplink of a cloud radio access network where multiple multi-antenna base stations (BSs) are connected to a central unit, also referred to as cloud decoder, via capacity-constrained backhaul…

信息论 · 计算机科学 2012-06-19 Seok-Hwan Park , Osvaldo Simeone , Onur Sahin , Shlomo Shamai

We find large deviations rates for consensus-based distributed inference for directed networks. When the topology is deterministic, we establish the large deviations principle and find exactly the corresponding rate function, equal at all…

信息论 · 计算机科学 2016-06-29 Dragana Bajović , José M. F. Moura , João Xavier , Bruno Sinopoli

The streaming model of computation is a popular approach for working with large-scale data. In this setting, there is a stream of items and the goal is to compute the desired quantities (usually data statistics) while making a single pass…

数据结构与算法 · 计算机科学 2023-01-16 Alessandro Epasto , Jieming Mao , Andres Munoz Medina , Vahab Mirrokni , Sergei Vassilvitskii , Peilin Zhong

We consider a streaming data model in which n sensors observe individual streams of data, presented in a turnstile model. Our goal is to analyze the singular value decomposition (SVD) of the matrix of data defined implicitly by the stream…

信息论 · 计算机科学 2012-11-05 Anna C. Gilbert , Jae Young Park , Michael B. Wakin

Controlling and analyzing cyberphysical and robotics systems is increasingly becoming a Big Data challenge. Pushing this data to, and processing in the cloud is more efficient than on-board processing. However, current cloud-based solutions…

机器人学 · 计算机科学 2012-12-17 Timothy Hunter , Tathagata Das , Matei Zaharia , Pieter Abbeel , Alexandre M. Bayen

Covariance matrix estimation is an important problem in multivariate data analysis, both from theoretical as well as applied points of view. Many simple and popular covariance matrix estimators are known to be severely affected by model…

统计方法学 · 统计学 2025-11-21 Soumya Chakraborty , Ayanendranath Basu , Abhik Ghosh

In this paper, we consider the problem of distributed parameter estimation in sensor networks. Each sensor makes successive observations of an unknown $d$-dimensional parameter, which might be subject to Gaussian random noises. The sensors…

信号处理 · 电气工程与系统科学 2025-01-20 Jiaqi Yan , Hideaki Ishii

System identification in modern engineering systems faces emerging challenges from unanticipated adversarial attacks beyond existing detection mechanisms. In this work, we obtain a provably accurate estimate of the Markov parameter matrix…

最优化与控制 · 数学 2025-09-22 Jihun Kim , Javad Lavaei

We study the space complexity of solving the bias-regularized SVM problem in the streaming model. This is a classic supervised learning problem that has drawn lots of attention, including for developing fast algorithms for solving the…

数据结构与算法 · 计算机科学 2020-07-08 Alexandr Andoni , Collin Burns , Yi Li , Sepideh Mahabadi , David P. Woodruff

This paper considers optimization problems over networks where agents have individual objectives to meet, or individual parameter vectors to estimate, subject to subspace constraints that require the objectives across the network to lie in…

多智能体系统 · 计算机科学 2020-04-22 Roula Nassif , Stefan Vlaski , Ali H. Sayed

In this paper, we introduce a distributed algorithm that optimizes the Gaussian signal covariance matrices of multi-antenna users transmitting to a common multi-antenna receiver under imperfect and possibly delayed channel state…

信息论 · 计算机科学 2015-02-06 Panayotis Mertikopoulos , Aris L. Moustakas