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This paper studies sequential methods for recovery of sparse signals in high dimensions. When compared to fixed sample size procedures, in the sparse setting, sequential methods can result in a large reduction in the number of samples…

Information Theory · Computer Science 2014-10-07 Matthew L. Malloy , Robert Nowak

In this paper, we consider the iterative method of subspace corrections with random ordering. We prove identities for the expected convergence rate, which can provide sharp estimates for the error reduction per iteration. We also study the…

Numerical Analysis · Mathematics 2018-10-11 Xiaozhe Hu , Jinchao Xu , Ludmil Zikatanov

In this study, we present a method for predicting the representativity of the phase fraction observed in a single image (2D or 3D) of a material. Traditional approaches often require large datasets and extensive statistical analysis to…

Computation · Statistics 2025-07-29 Amir Dahari , Ronan Docherty , Steve Kench , Samuel J. Cooper

Generating realistic time series samples is crucial for stress-testing models and protecting user privacy by using synthetic data. In engineering and safety-critical applications, these samples must meet certain hard constraints that are…

Machine Learning · Computer Science 2025-10-31 Sai Shankar Narasimhan , Shubhankar Agarwal , Litu Rout , Sanjay Shakkottai , Sandeep P. Chinchali

We introduce a new criterion, the Rank Selection Criterion (RSC), for selecting the optimal reduced rank estimator of the coefficient matrix in multivariate response regression models. The corresponding RSC estimator minimizes the Frobenius…

Statistics Theory · Mathematics 2011-10-18 Florentina Bunea , Yiyuan She , Marten H. Wegkamp

Subsampling methods have been recently proposed to speed up least squares estimation in large scale settings. However, these algorithms are typically not robust to outliers or corruptions in the observed covariates. The concept of influence…

Machine Learning · Statistics 2014-06-20 Brian McWilliams , Gabriel Krummenacher , Mario Lucic , Joachim M. Buhmann

Computer simulators are nowadays widely used to understand complex physical systems in many areas such as aerospace, renewable energy, climate modeling, and manufacturing. One fundamental issue in the study of computer simulators is known…

Methodology · Statistics 2019-02-05 Feng Yang , C. Devon Lin , Pritam Ranjan

Non-regular sampling can reduce aliasing at the expense of noise. Recently, it has been shown that non-regular sampling can be carried out using a conventional regular imaging sensor when the surface of its individual pixels is partially…

Image and Video Processing · Electrical Eng. & Systems 2022-03-02 Simon Grosche , Jürgen Seiler , André Kaup

Spectral clustering refers to a family of unsupervised learning algorithms that compute a spectral embedding of the original data based on the eigenvectors of a similarity graph. This non-linear transformation of the data is both the key of…

Machine Learning · Computer Science 2019-01-30 Nicolas Tremblay , Andreas Loukas

The stochastic nature of iterative optimization heuristics leads to inherently noisy performance measurements. Since these measurements are often gathered once and then used repeatedly, the number of collected samples will have a…

Neural and Evolutionary Computing · Computer Science 2022-04-25 Diederick Vermetten , Hao Wang , Manuel López-Ibañez , Carola Doerr , Thomas Bäck

In this work we address the subspace recovery problem. Given a set of data samples (vectors) approximately drawn from a union of multiple subspaces, our goal is to segment the samples into their respective subspaces and correct the possible…

Information Theory · Computer Science 2013-01-29 Guangcan Liu , Zhouchen Lin , Shuicheng Yan , Ju Sun , Yong Yu , Yi Ma

We study the meta-learning for support (i.e. the set of non-zero entries) recovery in high-dimensional Principal Component Analysis. We reduce the sufficient sample complexity in a novel task with the information that is learned from…

Machine Learning · Statistics 2022-08-22 Imon Banerjee , Jean Honorio

This letter studies a distribution-free, finite-sample data perturbation (DP) method, the Residual-Permuted Sums (RPS), which is an alternative of the Sign-Perturbed Sums (SPS) algorithm, to construct confidence regions. While SPS assumes…

Systems and Control · Electrical Eng. & Systems 2024-06-11 Szabolcs Szentpéteri , Balázs Csanád Csáji

Architectural simulators play a critical role in early microarchitectural exploration due to their flexibility and high productivity. However, their effectiveness is often constrained by fidelity: simulators may deviate from the behavior of…

Hardware Architecture · Computer Science 2026-02-13 Hao Zhen , Qingxuan Kang , Yungang Bao , Trevor E. Carlson

The work is devoted to the analysis of the Resampling method proposed by A. Andronov and to the analysis of the Resampling method application possibility to the estimation and simulation of the calculation and logical systems reliability.…

Applications · Statistics 2013-04-25 Maxim Fioshin

Low Rank Approximation is among most fundamental subjects of numerical linear algebra having important applications to various areas of modern computing and %they range from machine learning theory and %neural networks to data mining and…

Numerical Analysis · Mathematics 2018-09-25 Victor Y. Pan , Qi Luan , John Svadlenka , Liang Zhao

Continual Semantic Segmentation (CSS) extends static semantic segmentation by incrementally introducing new classes for training. To alleviate the catastrophic forgetting issue in CSS, a memory buffer that stores a small number of samples…

Computer Vision and Pattern Recognition · Computer Science 2023-04-12 Lanyun Zhu , Tianrun Chen , Jianxiong Yin , Simon See , Jun Liu

Deep learning architectures have proved versatile in a number of drug discovery applications, including the modelling of in vitro compound activity. While controlling for prediction confidence is essential to increase the trust,…

Machine Learning · Computer Science 2018-10-23 Isidro Cortes-Ciriano , Andreas Bender

3D Point clouds (PCs) are commonly used to represent 3D scenes. They can have millions of points, making subsequent downstream tasks such as compression and streaming computationally expensive. PC sampling (selecting a subset of points) can…

Image and Video Processing · Electrical Eng. & Systems 2024-10-03 Shashank N. Sridhara , Eduardo Pavez , Ajinkya Jayawant , Antonio Ortega , Ryosuke Watanabe , Keisuke Nonaka

For many applications in signal processing and machine learning, we are tasked with minimizing a large sum of convex functions subject to a large number of convex constraints. In this paper, we devise a new random projection method (RPM) to…

Optimization and Control · Mathematics 2024-04-08 Zhichun Yang , Fu-quan Xia , Kai Tu , Man-Chung Yue
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