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We consider the problem of estimating the factors of a low-rank $n \times d$ matrix, when this is corrupted by additive Gaussian noise. A special example of our setting corresponds to clustering mixtures of Gaussians with equal (known)…

Statistics Theory · Mathematics 2022-11-02 Andrea Montanari , Yuchen Wu

Purpose: Functional Magnetic Resonance Imaging (fMRI) data acquired through resting-state studies have been used to obtain information about the spontaneous activations inside the brain. One of the approaches for analysis and interpretation…

Image and Video Processing · Electrical Eng. & Systems 2022-02-24 Harshit Parmar , Brian Nutter , Rodney Long , Sameer Antani , Sunanda Mitra

In many learning systems, such as activity recognition systems, as new data collection methods continue to emerge in various dynamic environmental applications, the attributes of instances accumulate incrementally, with data being stored in…

Statistics Theory · Mathematics 2026-03-24 Jing Zhang , Chenping Hou

Medical image segmentation demands an efficient and robust segmentation algorithm against noise. The conventional fuzzy c-means algorithm is an efficient clustering algorithm that is used in medical image segmentation. But FCM is highly…

Computer Vision and Pattern Recognition · Computer Science 2010-04-13 S. Zulaikha Beevi , M. Mohammed Sathik , K. Senthamaraikannan

We examine three non-negative matrix factorization techniques; L2-norm, L1-norm, and L2,1-norm. Our aim is to establish the performance of these different approaches, and their robustness in real-world applications such as feature selection…

Machine Learning · Computer Science 2021-06-07 Alex Díaz , Damian Steele

Many important tasks of large-scale recommender systems can be naturally cast as testing multiple linear forms for noisy matrix completion. These problems, however, present unique challenges because of the subtle bias-and-variance tradeoff…

Methodology · Statistics 2025-03-12 Wanteng Ma , Lilun Du , Dong Xia , Ming Yuan

Facial recognition technology (FRT) is increasingly used in criminal investigations, yet most evaluations of its accuracy rely on high-quality images, unlike those often encountered by law enforcement. This study examines how five common…

Computer Vision and Pattern Recognition · Computer Science 2025-05-21 Maria Cuellar , Hon Kiu , To , Arush Mehrotra

We consider the problem of spectral clustering under group fairness constraints, where samples from each sensitive group are approximately proportionally represented in each cluster. Traditional fair spectral clustering (FSC) methods…

Machine Learning · Computer Science 2023-11-27 Xiang Zhang , Qiao Wang

In electronic health records (EHR) analysis, clustering patients according to patterns in their data is crucial for uncovering new subtypes of diseases. Existing medical literature often relies on classical hypothesis testing methods to…

Methodology · Statistics 2024-05-07 Zihan Zhu , Xin Gai , Anru R. Zhang

Spectral Clustering is a popular technique to split data points into groups, especially for complex datasets. The algorithms in the Spectral Clustering family typically consist of multiple separate stages (such as similarity matrix…

Machine Learning · Computer Science 2019-11-04 Yifei Wang , Rui Liu , Yong Chen , Hui Zhangs , Zhiwen Ye

There has been recent interest in extending the ideas of False Discovery Rates (FDR) to variable selection in regression settings. Traditionally the FDR in these settings has been defined in terms of the coefficients of the full regression…

Methodology · Statistics 2013-02-12 Max Grazier G'Sell , Trevor Hastie , Robert Tibshirani

The performance (accuracy and robustness) of several clustering algorithms is studied for linearly dependent random variables in the presence of noise. It turns out that the error percentage quickly increases when the number of observations…

Applications · Statistics 2009-11-13 Pamela Minicozzi , Fabio Rapallo , Enrico Scalas , Francesco Dondero

We propose a method that combines signals from many brain regions observed in functional Magnetic Resonance Imaging (fMRI) to predict the subject's behavior during a scanning session. Such predictions suffer from the huge number of brain…

Computer Vision and Pattern Recognition · Computer Science 2011-04-29 Vincent Michel , Alexandre Gramfort , Gaël Varoquaux , Evelyn Eger , Christine Keribin , Bertrand Thirion

Clustering is the technique to partition data according to their characteristics. Data that are similar in nature belong to the same cluster [1]. There are two types of evaluation methods to evaluate clustering quality. One is an external…

Machine Learning · Computer Science 2024-09-05 Anupriya Vysala , Joseph Gomes

Resting state fMRI is an imaging modality which reveals brain activity localization through signal changes, in what is known as Resting State Networks (RSNs). This technique is gaining popularity in neurosurgical pre-planning to visualize…

Machine Learning · Computer Science 2022-09-22 Sejal Ghate , Alberto Santamaria-Pang , Ivan Tarapov , Haris I Sair , Craig K Jones

Does Federated Learning (FL) work when both uplink and downlink communications have errors? How much communication noise can FL handle and what is its impact to the learning performance? This work is devoted to answering these practically…

Information Theory · Computer Science 2021-12-06 Xizixiang Wei , Cong Shen

Modern automatic speech recognition (ASR) systems are typically trained on more than tens of thousands hours of speech data, which is one of the main factors for their great success. However, the distribution of such data is typically…

Sound · Computer Science 2024-08-06 Jaeyoung Kim , Han Lu , Soheil Khorram , Anshuman Tripathi , Qian Zhang , Hasim Sak

Radio frequency fingerprint identification (RFFI) can classify wireless devices by analyzing the signal distortions caused by the intrinsic hardware impairments. State-of-the-art neural networks have been adopted for RFFI. However, many…

Signal Processing · Electrical Eng. & Systems 2022-07-08 Guanxiong Shen , Junqing Zhang , Alan Marshall , Mikko Valkama , Joseph Cavallaro

Recent research in clustering face embeddings has found that unsupervised, shallow, heuristic-based methods -- including $k$-means and hierarchical agglomerative clustering -- underperform supervised, deep, inductive methods. While the…

Computer Vision and Pattern Recognition · Computer Science 2022-11-11 Tyler R. Scott , Ting Liu , Michael C. Mozer , Andrew C. Gallagher

Functional Spectral Imaging (FSI) models image formation as the recovery of tissue surrogates such as density and stiffness from spectral perturbations of a self-adjoint elliptic operator. Rather than relying on reflectivity or relaxation…

Medical Physics · Physics 2025-10-21 Cesar Mello Fernando Medina da Cunha
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