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We propose a novel statistical inference framework for streaming principal component analysis (PCA) using Oja's algorithm, enabling the construction of confidence intervals for individual entries of the estimated eigenvector. Most existing…

统计理论 · 数学 2025-07-22 Syamantak Kumar , Shourya Pandey , Purnamrita Sarkar

Streaming tensor factorization is a powerful tool for processing high-volume and multi-way temporal data in Internet networks, recommender systems and image/video data analysis. In many applications the full tensor is not known, but instead…

信号处理 · 电气工程与系统科学 2018-09-06 Cole Hawkins , Zheng Zhang

High order cumulant tensors carry information about statistics of non-normally distributed multivariate data. In this work we present a new efficient algorithm for calculation of cumulants of arbitrary order in a sliding window for data…

数据结构与算法 · 计算机科学 2022-10-06 Krzysztof Domino , Piotr Gawron

Gaussian processes offer a flexible kernel method for regression. While Gaussian processes have many useful theoretical properties and have proven practically useful, they suffer from poor scaling in the number of observations. In…

机器学习 · 统计学 2021-08-26 Nick Terry , Youngjun Choe

Optimization in distributed networks plays a central role in almost all distributed machine learning problems. In principle, the use of distributed task allocation has reduced the computational time, allowing better response rates and…

最优化与控制 · 数学 2021-08-23 Elie Atallah , Nazanin Rahnavard , Chinwendu Enyioha

Estimating the quantiles of a large dataset is a fundamental problem in both the streaming algorithms literature and the differential privacy literature. However, all existing private mechanisms for distribution-independent quantile…

数据结构与算法 · 计算机科学 2022-01-11 Daniel Alabi , Omri Ben-Eliezer , Anamay Chaturvedi

Stream stochastic gradient descent (SGD) is a simple and efficient method for solving online optimization problems in operations research (OR), where data is generated by parameter-dependent Markov chains. Unlike traditional approaches…

最优化与控制 · 数学 2025-09-03 Xiang Li , Jiadong Liang , Xinyun Chen , Zhihua Zhang

Stimulated by practical applications arising from viral marketing. This paper investigates a novel Budgeted $k$-Submodular Maximization problem defined as follows: Given a finite set $V$, a budget $B$ and a $k$-submodular function $f:…

数据结构与算法 · 计算机科学 2021-10-25 Canh V. Pham , Quang C. Vu , Dung K. T. Ha , Tai T. Nguyen

In this work, we propose a first-order sampling method called the Metropolis-adjusted Preconditioned Langevin Algorithm for approximate sampling from a target distribution whose support is a proper convex subset of $\mathbb{R}^{d}$. Our…

统计计算 · 统计学 2025-02-27 Vishwak Srinivasan , Andre Wibisono , Ashia Wilson

With the impressive generative capabilities of diffusion models, personalized content synthesis has emerged as the most highly anticipated. However, the large model sizes and iterative nature of inference make it difficult to deploy…

网络与互联网体系结构 · 计算机科学 2025-03-04 Wanting Yang , Zehui Xiong , Song Guo , Shiwen Mao , Dong In Kim , Merouane Debbah

Experience of live video streaming can be improved if the video uploader has more accurate knowledge about the future available bandwidth. Because with such knowledge, one is able to know what sizes should he encode the frames to be in an…

多媒体 · 计算机科学 2022-10-05 Weijia Zheng

We investigate a remote estimation problem in which a transmitter observes a Markov source and chooses the power level to transmit it over a time-varying packet-drop channel. The channel is modeled as a channel with Markovian state where…

系统与控制 · 计算机科学 2021-08-27 Jhelum Chakravorty , Aditya Mahajan

In today's data-driven world, recommender systems (RS) play a crucial role to support the decision-making process. As users become continuously connected to the internet, they become less patient and less tolerant to obsolete…

分布式、并行与集群计算 · 计算机科学 2022-04-12 Heidy Hazem , Ahmed Awad , Ahmed Hassan

We propose a second-order accurate method to estimate the eigenvectors of extremely large matrices thereby addressing a problem of relevance to statisticians working in the analysis of very large datasets. More specifically, we show that…

数值分析 · 数学 2010-02-05 Noureddine El Karoui , Alexandre d'Aspremont

Distributed stochastic non-convex optimization problems have recently received attention due to the growing interest of signal processing, computer vision, and natural language processing communities in applications deployed over…

系统与控制 · 电气工程与系统科学 2024-10-14 Yiyue Chen , Abolfazl Hashemi , Haris Vikalo

Online decision making aims to learn the optimal decision rule by making personalized decisions and updating the decision rule recursively. It has become easier than before with the help of big data, but new challenges also come along.…

机器学习 · 统计学 2020-10-16 Haoyu Chen , Wenbin Lu , Rui Song

The blessing of ubiquitous data also comes with a curse: the communication, storage, and labeling of massive, mostly redundant datasets. We seek to solve this problem at its core, collecting only valuable data and throwing out the rest via…

机器学习 · 计算机科学 2023-12-18 Mariel Werner , Anastasios Angelopoulos , Stephen Bates , Michael I. Jordan

This paper proposes a distributed stochastic algorithm with variance reduction for general smooth non-convex finite-sum optimization, which has wide applications in signal processing and machine learning communities. In distributed setting,…

最优化与控制 · 数学 2021-07-23 Xia Jiang , Xianlin Zeng , Jian Sun , Jie Chen

This paper aims to propose and theoretically analyze a new distributed scheme for sparse linear regression and feature selection. The primary goal is to learn the few causal features of a high-dimensional dataset based on noisy observations…

机器学习 · 统计学 2021-11-05 Hanie Barghi , Amir Najafi , Seyed Abolfazl Motahari

We provide a deterministic space-efficient algorithm for estimating ridge regression. For $n$ data points with $d$ features and a large enough regularization parameter, we provide a solution within $\varepsilon$ L$_2$ error using only…

机器学习 · 计算机科学 2021-06-29 Benwei Shi , Jeff M. Phillips
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