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Principal components analysis (PCA) is a standard tool for identifying good low-dimensional approximations to data in high dimension. Many data sets of interest contain private or sensitive information about individuals. Algorithms which…

机器学习 · 统计学 2013-08-09 Kamalika Chaudhuri , Anand D. Sarwate , Kaushik Sinha

In stream processing, stream join is one of the critical sources of performance bottlenecks. The sliding-window-based stream join provides a precise result but consumes considerable computational resources. The current solutions lack…

数据库 · 计算机科学 2018-11-14 Fei Pan , Hans-Arno Jacobsen

When large amounts of data continuously arrive in streams, online updating is an effective way to reduce storage and computational burden. The key idea of online updating is that the previous estimators are sequentially updated only using…

统计方法学 · 统计学 2022-10-12 Tianzhen Wang , Haixiang Zhang , Liuquan Sun

A novel technique based on the Full Orthogonalization Arnoldi (FOA) is proposed to perform Dynamic Mode Decomposition (DMD) for a sequence of snapshots. A modification to FOA is presented for situations where the matrix $A$ is unknown, but…

计算物理 · 物理学 2019-02-20 Sreevatsa Anantharamu , Krishnan Mahesh

We consider an online version of the robust Principle Component Analysis (PCA), which arises naturally in time-varying source separations such as video foreground-background separation. This paper proposes a compressive online robust PCA…

信息论 · 计算机科学 2017-05-30 Huynh Van Luong , Nikos Deligiannis , Jurgen Seiler , Soren Forchhammer , Andre Kaup

Today, the technology for video streaming over the Internet is converging towards a paradigm named HTTP-based adaptive streaming (HAS). HAS comes with two unique flavors. First, by riding on top of HTTP/TCP, it leverages the…

网络与互联网体系结构 · 计算机科学 2016-11-17 Zhi Li , Xiaoqing Zhu , Josh Gahm , Rong Pan , Hao Hu , Ali C. Begen , Dave Oran

Principal Component Analysis (PCA) is a commonly used tool for dimension reduction and denoising. Therefore, it is also widely used on the data prior to training a neural network. However, this approach can complicate the explanation of…

机器学习 · 计算机科学 2025-09-30 Nhan Phan , Thu Nguyen , Uyen Dang , Pål Halvorsen , Michael A. Riegler

Principal components analysis (PCA) is a classical method for the reduction of dimensionality of data in the form of n observations (or cases) of a vector with p variables. For a simple model of factor analysis type, it is proved that…

统计理论 · 数学 2009-01-29 Iain M Johnstone , Arthur Yu Lu

Nondominated sorting, also called Pareto Depth Analysis (PDA), is widely used in multi-objective optimization and has recently found important applications in multi-criteria anomaly detection. Recently, a partial differential equation (PDE)…

机器学习 · 计算机科学 2018-04-17 Bilal Abbasi , Jeff Calder , Adam M. Oberman

The stochastic dual coordinate-ascent (S-DCA) technique is a useful alternative to the traditional stochastic gradient-descent algorithm for solving large-scale optimization problems due to its scalability to large data sets and strong…

最优化与控制 · 数学 2016-02-25 Bicheng Ying , Kun Yuan , Ali H. Sayed

In recent years, Non-Orthogonal Multiple Access (NOMA) system has emerged as a promising candidate for multiple access frameworks due to the evolution of deep machine learning, trying to incorporate deep machine learning into the NOMA…

人工智能 · 计算机科学 2026-01-21 WooSeok Kim , Jeonghoon Lee , Sangho Kim , Taesun An , WonMin Lee , Dowon Kim , Kyungseop Shin

We study learning-augmented streaming algorithms for estimating the value of MAX-CUT in a graph. In the classical streaming model, while a $1/2$-approximation for estimating the value of MAX-CUT can be trivially achieved with $O(1)$ words…

数据结构与算法 · 计算机科学 2025-01-07 Yinhao Dong , Pan Peng , Ali Vakilian

As ubiquitous and personalized services are growing boomingly, an increasingly large amount of traffic is generated over the network by massive mobile devices. As a result, content caching is gradually extending to network edges to provide…

网络与互联网体系结构 · 计算机科学 2020-12-11 Qilin Fan , Xiuhua Li , Jian Li , Qiang He , Kai Wang , Junhao Wen

We introduce and analyze AdaTask, a multitask online learning algorithm that adapts to the unknown structure of the tasks. When the $N$ tasks are stochastically activated, we show that the regret of AdaTask is better, by a factor that can…

机器学习 · 计算机科学 2023-10-30 Pierre Laforgue , Andrea Della Vecchia , Nicolò Cesa-Bianchi , Lorenzo Rosasco

Continual learning is increasingly sought after in real world machine learning applications, as it enables learning in a more human-like manner. Conventional machine learning approaches fail to achieve this, as incrementally updating the…

计算机视觉与模式识别 · 计算机科学 2023-10-31 Joe Khawand , Peter Hanappe , David Colliaux

The problem of principle component analysis (PCA) is traditionally solved by spectral or algebraic methods. We show how computing the leading principal component could be reduced to solving a \textit{small} number of well-conditioned {\it…

最优化与控制 · 数学 2015-11-26 Dan Garber , Elad Hazan

We consider the problem of monotone, submodular maximization over a ground set of size $n$ subject to cardinality constraint $k$. For this problem, we introduce the first deterministic algorithms with linear time complexity; these…

数据结构与算法 · 计算机科学 2021-03-09 Alan Kuhnle

In this paper we are interested in the problem of learning an over-complete basis and a methodology such that the reconstruction or inverse problem does not need optimization. We analyze the optimality of the presented approaches, their…

机器学习 · 统计学 2017-07-20 Randall Balestriero

Applications involving dictionary learning, non-negative matrix factorization, subspace clustering, and parallel factor tensor decomposition tasks motivate well algorithms for per-block-convex and non-smooth optimization problems. By…

机器学习 · 计算机科学 2017-01-27 Konstantinos Slavakis , Georgios B. Giannakis

An opportunistic spectrum access (OSA) for the infrastructure-less (or cognitive ad-hoc) network has received significant attention thanks to emerging paradigms such as the Internet of Things (IoTs) and smart grids. Research in this area…

信号处理 · 电气工程与系统科学 2018-10-09 Rohit Kumar , Sumit J. Darak , Manjesh K. Hanawal , Ankit Yadav