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Deep neural networks are vulnerable to adversarial perturbations, limiting deployment in safety-critical applications such as synthetic aperture radar (SAR) automatic target recognition (ATR). Randomized smoothing improves robustness by…

Computer Vision and Pattern Recognition · Computer Science 2026-05-19 Daniel Brignac , Fengwei Tian , Banafsheh Latibari , Abhijit Mahalanobis , Ravi Tandon

Nonnegative matrix factorization (NMF) is a powerful technique for dimension reduction, extracting latent factors and learning part-based representation. For large datasets, NMF performance depends on some major issues: fast algorithms,…

Optimization and Control · Mathematics 2015-07-01 Duy-Khuong Nguyen , Tu-Bao Ho

This paper examines a general class of noisy matrix completion tasks where the goal is to estimate a matrix from observations obtained at a subset of its entries, each of which is subject to random noise or corruption. Our specific focus is…

Machine Learning · Statistics 2016-11-18 Akshay Soni , Swayambhoo Jain , Jarvis Haupt , Stefano Gonella

Ising machines are novel computing devices for the energy minimization of Ising models. These combinatorial optimization problems are of paramount importance for science and technology, but remain difficult to tackle on large scale by…

Optics · Physics 2020-04-28 Davide Pierangeli , Giulia Marcucci , Daniel Brunner , Claudio Conti

Topic models have been extensively used to organize and interpret the contents of large, unstructured corpora of text documents. Although topic models often perform well on traditional training vs. test set evaluations, it is often the case…

Computation and Language · Computer Science 2017-07-04 Kelsey MacMillan , James D. Wilson

This paper presents the contribution to the third 'CHiME' speech separation and recognition challenge including both front-end signal processing and back-end speech recognition. In the front-end, Multi-channel Wiener filter (MWF) is…

Sound · Computer Science 2015-09-22 Xiaofei Wang , Chao Wu , Pengyuan Zhang , Ziteng Wang , Yong Liu , Xu Li , Qiang Fu , Yonghong Yan

Nonnegative matrix factorization (NMF) is widely used for clustering with strong interpretability. Among general NMF problems, symmetric NMF is a special one that plays an important role in graph clustering where each element measures the…

Machine Learning · Computer Science 2023-11-07 Mengyuan Zhang , Kai Liu

We propose and analyze a sequential quadratic programming algorithm for minimizing a noisy nonlinear smooth function subject to noisy nonlinear smooth equality constraints. The algorithm uses a step decomposition strategy and, as a result,…

Optimization and Control · Mathematics 2025-03-11 Albert S. Berahas , Jiahao Shi , Baoyu Zhou

We consider the problem of sequential decision making on random fields corrupted by noise. In this scenario, the decision maker observes a noisy version of the data, yet judged with respect to the clean data. In particular, we first…

Information Theory · Computer Science 2007-07-13 Asaf Cohen , Tsachy Weissman , Neri Merhav

Designing objective functions robust to label noise is crucial for real-world classification algorithms. In this paper, we investigate the robustness to label noise of an $f$-divergence-based class of objective functions recently proposed…

Machine Learning · Computer Science 2025-04-10 Nicola Novello , Andrea M. Tonello

This paper extends robust principal component analysis (RPCA) to nonlinear manifolds. Suppose that the observed data matrix is the sum of a sparse component and a component drawn from some low dimensional manifold. Is it possible to…

Machine Learning · Computer Science 2019-11-12 He Lyu , Ningyu Sha , Shuyang Qin , Ming Yan , Yuying Xie , Rongrong Wang

Robust principal component analysis (RPCA) can recover low-rank matrices when they are corrupted by sparse noises. In practice, many matrices are, however, of high-rank and hence cannot be recovered by RPCA. We propose a novel method called…

Machine Learning · Computer Science 2019-04-19 Jicong Fan , Tommy W. S. Chow

We consider in this paper the problem of estimating a parameter matrix from observations which are affected by two types of noise components: (i) a sparse noise sequence which, whenever nonzero can have arbitrarily large amplitude (ii) and…

Systems and Control · Computer Science 2017-11-07 Laurent Bako

Appropriate preprocessing is a fundamental prerequisite for analyzing a noisy dataset. The purpose of this paper is to apply a nonparametric preprocessing method, called Singular Spectrum Analysis (SSA), to a variety of datasets which are…

Methodology · Statistics 2022-03-14 Maryam Movahedifar , Thorsten Dickhaus

Event cameras capture sparse, asynchronous brightness changes which offer high temporal resolution, high dynamic range, low power consumption, and sparse data output. These advantages make them ideal for Space Situational Awareness,…

Computer Vision and Pattern Recognition · Computer Science 2024-11-19 Sami Arja , Alexandre Marcireau , Nicholas Owen Ralph , Saeed Afshar , Gregory Cohen

The widely adopted sequential variant of Non Maximum Suppression (or Greedy-NMS) is a crucial module for object-detection pipelines. Unfortunately, for the region proposal stage of two/multi-stage detectors, NMS is turning out to be a…

Computer Vision and Pattern Recognition · Computer Science 2020-08-24 Rohun Tripathi , Vasu Singla , Mahyar Najibi , Bharat Singh , Abhishek Sharma , Larry Davis

Accurate spectrum prediction is crucial for dynamic spectrum access (DSA) and resource allocation. However, due to the unique characteristics of spectrum data, existing methods based on the time or frequency domain often struggle to…

Machine Learning · Computer Science 2025-08-26 Yanghao Qin , Bo Zhou , Guangliang Pan , Qihui Wu , Meixia Tao

Auscultation provides a rich diversity of information to diagnose cardiovascular and respiratory diseases. However, sound auscultation is challenging due to noise. In this study, a modified version of the affine non-negative matrix…

Signal Processing · Electrical Eng. & Systems 2026-05-27 Yasaman Torabi , Shahram Shirani , James P. Reilly

In this paper, we propose a successive convex approximation framework for sparse optimization where the nonsmooth regularization function in the objective function is nonconvex and it can be written as the difference of two convex…

Machine Learning · Computer Science 2018-10-26 Yang Yang , Marius Pesavento , Symeon Chatzinotas , Björn Ottersten

Traditional nonnegative matrix factorization (NMF) learns a new feature representation on the whole data space, which means treating all features equally. However, a subspace is often sufficient for accurate representation in practical…

Computer Vision and Pattern Recognition · Computer Science 2022-04-19 Junhang Li , Jiao Wei , Can Tong , Tingting Shen , Yuchen Liu , Chen Li , Shouliang Qi , Yudong Yao , Yueyang Teng