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In differential privacy, $\textit{continual observation}$ refers to problems in which we wish to continuously release a function of a dataset that is revealed one element at a time. The challenge is to maintain a good approximation while…

Machine Learning · Computer Science 2025-03-07 Joel Daniel Andersson , Rasmus Pagh

This paper considers the low-observability state estimation problem in power distribution networks and develops a decentralized state estimation algorithm leveraging the matrix completion methodology. Matrix completion has been shown to be…

Optimization and Control · Mathematics 2019-10-14 April Sagan , Yajing Liu , Andrey Bernstein

In this paper, we study the problem of finding a maximum matching in the semi-streaming model when edges arrive in a random order. In the semi-streaming model, an algorithm receives a stream of edges and it is allowed to have a memory of…

Data Structures and Algorithms · Computer Science 2019-12-24 Alireza Farhadi , MohammadTaghi Hajiaghayi , Tung Mai , Anup Rao , Ryan A. Rossi

We present a novel approach for the problem of frequency estimation in data streams that is based on optimization and machine learning. Contrary to state-of-the-art streaming frequency estimation algorithms, which heavily rely on random…

Data Structures and Algorithms · Computer Science 2022-07-19 Dimitris Bertsimas , Vassilis Digalakis

We study the problem of solving semidefinite programs (SDP) in the streaming model. Specifically, $m$ constraint matrices and a target matrix $C$, all of size $n\times n$ together with a vector $b\in \mathbb{R}^m$ are streamed to us…

Data Structures and Algorithms · Computer Science 2023-09-12 Zhao Song , Mingquan Ye , Lichen Zhang

We propose a method for learning from streaming visual data using a compact, constant size representation of all the data that was seen until a given moment. Specifically, we construct a 'coreset' representation of streaming data using a…

Computer Vision and Pattern Recognition · Computer Science 2015-11-20 Abhimanyu Dubey , Nikhil Naik , Dan Raviv , Rahul Sukthankar , Ramesh Raskar

The growing amount of applications that generate vast amount of data in short time scales render the problem of partial monitoring, coupled with prediction, a rather fundamental one. We study the aforementioned canonical problem under the…

Data Structures and Algorithms · Computer Science 2016-08-02 Michalis Kallitsis , Stilian Stoev , George Michailidis

We present a distributed asynchronous algorithm for approximating a single component of the solution to a system of linear equations $Ax = b$, where $A$ is a positive definite real matrix, and $b \in \mathbb{R}^n$. This is equivalent to…

Data Structures and Algorithms · Computer Science 2019-01-23 Asuman Ozdaglar , Devavrat Shah , Christina Lee Yu

Trajectory forecasting is a widely-studied problem for autonomous navigation. However, existing benchmarks evaluate forecasting based on independent snapshots of trajectories, which are not representative of real-world applications that…

Computer Vision and Pattern Recognition · Computer Science 2023-10-03 Ziqi Pang , Deva Ramanan , Mengtian Li , Yu-Xiong Wang

We present a matrix factorization algorithm that scales to input matrices that are large in both dimensions (i.e., that contains morethan 1TB of data). The algorithm streams the matrix columns while subsampling them, resulting in low…

Optimization and Control · Mathematics 2016-12-04 Arthur Mensch , Julien Mairal , Gaël Varoquaux , Bertrand Thirion

Matrix completion is fundamental for predicting missing data with a wide range of applications in personalized healthcare, e-commerce, recommendation systems, and social network analysis. Traditional matrix completion approaches typically…

Machine Learning · Computer Science 2025-03-19 Patrick Hytla , Tran T. A. Nghia , Duy Nhat Phan , Andrew Rice

This paper presents an asynchronous distributed algorithm to manage multiple trees for peer-to-peer streaming in a flow level model. It is assumed that videos are cut into substreams, with or without source coding, to be distributed to all…

Data Structures and Algorithms · Computer Science 2013-08-12 Ji Zhu , Bruce Hajek

The shifting strategy, introduced by Hochbaum and Maass, and independently by Baker, is a unified framework for devising polynomial approximation schemes to NP-Hard problems. This strategy has been used to great success within the…

Computational Geometry · Computer Science 2017-06-30 Christopher Liaw , Paul Liu , Robert Reiss

There has been a recent explosion in the size of stored data, partially due to advances in storage technology, and partially due to the growing popularity of cloud-computing and the vast quantities of data generated. This motivates the need…

Data Structures and Algorithms · Computer Science 2012-12-06 Isabelle Stanton

Inspired by the great success of machine learning in the past decade, people have been thinking about the possibility of improving the theoretical results by exploring data distribution. In this paper, we revisit a fundamental problem…

Data Structures and Algorithms · Computer Science 2020-06-24 Hao Wu , Junhao Gan , Rui Zhang

Graph signal processing deals with algorithms and signal representations that leverage graph structures for multivariate data analysis. Often said graph topology is not readily available and may be time-varying, hence (dynamic) graph…

Signal Processing · Electrical Eng. & Systems 2024-09-20 Hector Chahuara , Gonzalo Mateos

In this work, we are interested in adaptive and distributed estimation of graph filters from streaming data. We formulate this problem as a consensus estimation problem over graphs, which can be addressed with diffusion LMS strategies. Most…

Signal Processing · Electrical Eng. & Systems 2019-12-13 Fei Hua , Roula Nassif , Cédric Richard , Haiyan Wang , Ali H. Sayed

Streaming data are increasingly present in real-world applications such as sensor measurements, satellite data feed, stock market, and financial data. The main characteristics of these applications are the online arrival of data…

Machine Learning · Computer Science 2020-07-01 Vinicius M. A. Souza , Denis M. dos Reis , Andre G. Maletzke , Gustavo E. A. P. A. Batista

An important challenge in the streaming model is to maintain small-space approximations of entrywise functions performed on a matrix that is generated by the outer product of two vectors given as a stream. In other works, streams typically…

Data Structures and Algorithms · Computer Science 2015-11-04 Vladimir Braverman , Alan Roytman , Gregory Vorsanger

We present a new approach for finding matchings in dense graphs by building on Szemer\'edi's celebrated Regularity Lemma. This allows us to obtain non-trivial albeit slight improvements over longstanding bounds for matchings in streaming…

Data Structures and Algorithms · Computer Science 2022-07-20 Sepehr Assadi , Soheil Behnezhad , Sanjeev Khanna , Huan Li
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