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The recently proposed tensor robust principal component analysis (TRPCA) methods based on tensor singular value decomposition (t-SVD) have achieved numerous successes in many fields. However, most of these methods are only applicable to…

机器学习 · 计算机科学 2023-11-13 Jianan Liu , Chunguang Li

In theory coordinated multi-point transmission (CoMP) promises vast gains in spectral efficiency. But industrial field trials show rather disappointing throughput gains, whereby the major limiting factor is proper sharing of channel state…

信息论 · 计算机科学 2016-11-18 Jan Schreck , Gerhard Wunder , Peter Jung

Robust principal component analysis seeks to recover a low-rank matrix from fully observed data with sparse corruptions. A scalable approach fits a low-rank factorization by minimizing the sum of entrywise absolute residuals, leading to a…

最优化与控制 · 数学 2026-01-30 Pinxi Gong , Lexiao Lai , Jianhao Ma

We present a stochastic model predictive control (SMPC) framework for linear systems subject to possibly unbounded disturbances. State of the art SMPC approaches with closed-loop chance constraint satisfaction recursively initialize the…

系统与控制 · 电气工程与系统科学 2022-06-22 Johannes Köhler , Melanie N. Zeilinger

We study the fundamental problem of Principal Component Analysis in a statistical distributed setting in which each machine out of $m$ stores a sample of $n$ points sampled i.i.d. from a single unknown distribution. We study algorithms for…

机器学习 · 计算机科学 2017-02-28 Dan Garber , Ohad Shamir , Nathan Srebro

Tensor robust principal component analysis (TRPCA) has received a substantial amount of attention in various fields. Most existing methods, normally relying on tensor nuclear norm minimization, need to pay an expensive computational cost…

数值分析 · 计算机科学 2017-12-29 Jonathan Q. Jiang , Michael K. Ng

We conducted an extensive computational experiment, lasting multiple CPU-years, to optimally select parameters for two important classes of algorithms for finding sparse solutions of underdetermined systems of linear equations. We make the…

数值分析 · 计算机科学 2015-05-14 Arian Maleki , David L. Donoho

We consider the optimal quantization of compressive sensing measurements following the work on generalization of relaxed belief propagation (BP) for arbitrary measurement channels. Relaxed BP is an iterative reconstruction scheme inspired…

信息论 · 计算机科学 2016-11-15 Ulugbek Kamilov , Vivek K Goyal , Sundeep Rangan

A novel text data dimension reduction technique, called the tree-structured multi-linear principal component anal- ysis (TMPCA), is proposed in this work. Being different from traditional text dimension reduction methods that deal with the…

计算与语言 · 计算机科学 2018-02-27 Yuanhang Su , Yuzhong Huang , C. -C. Jay Kuo

The problem of estimating a random vector x from noisy linear measurements y = A x + w with unknown parameters on the distributions of x and w, which must also be learned, arises in a wide range of statistical learning and linear inverse…

信息论 · 计算机科学 2017-06-20 Alyson K. Fletcher , Mojtaba Sahraee-Ardakan , Philip Schniter , Sundeep Rangan

Dynamic inner principal component analysis (DiPCA) is a powerful method for the analysis of time-dependent multivariate data. DiPCA extracts dynamic latent variables that capture the most dominant temporal trends by solving a large-scale,…

系统与控制 · 电气工程与系统科学 2020-03-16 Sungho Shin , Alex D. Smith , S. Joe Qin , Victor M. Zavala

Principal component analysis (PCA) is a widely used dimension reduction technique in machine learning and multivariate statistics. To improve the interpretability of PCA, various approaches to obtain sparse principal direction loadings have…

数据结构与算法 · 计算机科学 2021-06-07 Agniva Chowdhury , Petros Drineas , David P. Woodruff , Samson Zhou

Recovery of an unknown sparse signal from a few of its projections is the key objective of compressed sensing. Often one comes across signals that are not ordinarily sparse but are sparse blockwise. Existing block sparse recovery algorithms…

信息论 · 计算机科学 2021-11-24 Samrat Mukhopadhyay , Mrityunjoy Chakraborty

Numerous applications in data mining and machine learning require recovering a matrix of minimal rank. Robust principal component analysis (RPCA) is a general framework for handling this kind of problems. Nuclear norm based convex surrogate…

计算机视觉与模式识别 · 计算机科学 2016-11-17 Zhao Kang , Chong Peng , Qiang Cheng

We propose a novel coded integrated passive sensing and communication (CIPSAC) system with orthogonal frequency division multiplexing (OFDM), where a multi-antenna base station (BS) passively senses the parameters of the targets and decodes…

信号处理 · 电气工程与系统科学 2025-02-19 Chenghong Bian , Kaitao Meng , Huihui Wu , Yumeng Zhang , Deniz Gunduz

Vector approximate message passing (VAMP) is an efficient approximate inference algorithm used for generalized linear models. Although VAMP exhibits excellent performance, particularly when measurement matrices are sampled from rotationally…

信息论 · 计算机科学 2025-08-05 Takashi Takahashi , Yoshiyuki Kabashima

Principal Component Analysis (PCA) is a widely utilized technique for dimensionality reduction; however, its inherent lack of interpretability-stemming from dense linear combinations of all feature-limits its applicability in many domains.…

机器学习 · 计算机科学 2025-04-01 Loc Hoang Tran

Principal component analysis (PCA) has been a prominent tool for high-dimensional data analysis. Online algorithms that estimate the principal component by processing streaming data are of tremendous practical and theoretical interests.…

最优化与控制 · 数学 2017-10-09 Chris Junchi Li , Mengdi Wang , Han Liu , Tong Zhang

Optimizing Large Language Model (LLM) performance requires well-crafted prompts, but manual prompt engineering is labor-intensive and often ineffective. Automated prompt optimization techniques address this challenge but the majority of…

计算与语言 · 计算机科学 2025-08-20 Ximing Dong , Shaowei Wang , Dayi Lin , Ahmed E. Hassan

Learned Image Compression (LIC) has explored various architectures, such as Convolutional Neural Networks (CNNs) and transformers, in modeling image content distributions in order to achieve compression effectiveness. However, achieving…

图像与视频处理 · 电气工程与系统科学 2025-02-10 Zhuojie Wu , Heming Du , Shuyun Wang , Ming Lu , Haiyang Sun , Yandong Guo , Xin Yu
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