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In representation learning, uniformity refers to the uniform feature distribution in the latent space (i.e., unit hypersphere). Previous work has shown that improving uniformity contributes to the learning of under-represented classes.…

Machine Learning · Computer Science 2025-03-04 Zijian Dong , Yilei Wu , Chongyao Chen , Yingtian Zou , Yichi Zhang , Juan Helen Zhou

This paper is about a curious phenomenon. Suppose we have a data matrix, which is the superposition of a low-rank component and a sparse component. Can we recover each component individually? We prove that under some suitable assumptions,…

Information Theory · Computer Science 2009-12-21 Emmanuel J. Candes , Xiaodong Li , Yi Ma , John Wright

We consider the problem of recovering a low-rank matrix when some of its entries, whose locations are not known a priori, are corrupted by errors of arbitrarily large magnitude. It has recently been shown that this problem can be solved…

Information Theory · Computer Science 2010-01-22 Arvind Ganesh , John Wright , Xiaodong Li , Emmanuel J. Candes , Yi Ma

Due to the existence of label noise in web images and the high memorization capacity of deep neural networks, training deep fine-grained (FG) models directly through web images tends to have an inferior recognition ability. In the…

Computer Vision and Pattern Recognition · Computer Science 2020-08-07 Zeren Sun , Xian-Sheng Hua , Yazhou Yao , Xiu-Shen Wei , Guosheng Hu , Jian Zhang

Finding corresponding pixels within a pair of images is a fundamental computer vision task with various applications. Due to the specific requirements of different tasks like optical flow estimation and local feature matching, previous…

Computer Vision and Pattern Recognition · Computer Science 2024-03-18 Songyan Zhang , Xinyu Sun , Hao Chen , Bo Li , Chunhua Shen

Robust estimation is primarily concerned with providing reliable parameter estimates in the presence of outliers. Numerous robust loss functions have been proposed in regression and classification, along with various computing algorithms.…

Methodology · Statistics 2024-02-26 Zhu Wang

This paper describes a flexible framework for generalized low-rank tensor estimation problems that includes many important instances arising from applications in computational imaging, genomics, and network analysis. The proposed estimator…

Statistics Theory · Mathematics 2021-02-08 Rungang Han , Rebecca Willett , Anru R. Zhang

The problem of recovering a low-rank matrix from a set of observations corrupted with gross sparse error is known as the robust principal component analysis (RPCA) and has many applications in computer vision, image processing and web data…

Optimization and Control · Mathematics 2013-09-27 Necdet Serhat Aybat , Donald Goldfarb , Shiqian Ma

In high-dimensional multivariate regression problems, enforcing low rank in the coefficient matrix offers effective dimension reduction, which greatly facilitates parameter estimation and model interpretation. However, commonly-used…

Statistics Theory · Mathematics 2017-07-18 Yiyuan She , Kun Chen

We propose a unified class of calibration weighting methods based on weighted generalized entropy to handle missing at random (MAR) data with improved stability and efficiency. The proposed generalized entropy calibration (GEC) formulates…

Methodology · Statistics 2025-11-07 Yonghyun Kwon , Jae Kwang Kim , Yumou Qiu

Traditional tensor decomposition methods, e.g., two dimensional principal component analysis and two dimensional singular value decomposition, that minimize mean square errors, are sensitive to outliers. To overcome this problem, in this…

Computer Vision and Pattern Recognition · Computer Science 2020-12-30 Miaohua Zhang , Yongsheng Gao , Changming Sun , Michael Blumenstein

The presence of data corruption in user-generated streaming data, such as social media, motivates a new fundamental problem that learns reliable regression coefficient when features are not accessible entirely at one time. Until now,…

Machine Learning · Computer Science 2019-02-06 Xuchao Zhang , Shuo Lei , Liang Zhao , Arnold P. Boedihardjo , Chang-Tien Lu

A new Lossy Causal Temporal Convolutional Neural Network Autoencoder for anomaly detection is proposed in this work. Our framework uses a rate-distortion loss and an entropy bottleneck to learn a compressed latent representation for the…

Machine Learning · Computer Science 2022-12-06 Christopher P. Ley , Jorge F. Silva

Sparse linear regression is one of the classic problems in the field of statistics, which has deep connections and high intersections with optimization, computation, and machine learning. To address the effective handling of…

Methodology · Statistics 2025-08-04 Peili Li , Zhuomei Li , Yunhai Xiao , Chao Ying , Zhou Yu

Deep convolutional neural networks provide a powerful feature learning capability for image classification. The deep image features can be utilized to deal with many image understanding tasks like image classification and object…

Computer Vision and Pattern Recognition · Computer Science 2018-11-20 Shaoning Zeng , Bob Zhang , Yanghao Zhang , Jianping Gou

Recently, deep learning models have achieved great success in computer vision applications, relying on large-scale class-balanced datasets. However, imbalanced class distributions still limit the wide applicability of these models due to…

Computer Vision and Pattern Recognition · Computer Science 2021-08-05 Yechan Kim , Younkwan Lee , Moongu Jeon

Recently it has been observed that neural networks exhibit Neural Collapse (NC) during the final stage of training for the classification problem. We empirically show that multivariate regression, as employed in imitation learning and other…

Machine Learning · Computer Science 2025-09-30 George Andriopoulos , Zixuan Dong , Li Guo , Zifan Zhao , Keith Ross

Convolutional Neural Networks (CNNs) excel at image classification but remain vulnerable to common corruptions that humans handle with ease. A key reason for this fragility is their reliance on local texture cues rather than global object…

Computer Vision and Pattern Recognition · Computer Science 2025-09-16 Robin Narsingh Ranabhat , Longwei Wang , Amit Kumar Patel , KC santosh

Recently the sparse representation based classification (SRC) has been proposed for robust face recognition (FR). In SRC, the testing image is coded as a sparse linear combination of the training samples, and the representation fidelity is…

Computer Vision and Pattern Recognition · Computer Science 2015-06-04 Meng Yang , Lei Zhang , Jian Yang , David Zhang

We study the problem of robust estimation under heterogeneous corruption rates, where each sample may be independently corrupted with a known but non-identical probability. This setting arises naturally in distributed and federated…

Machine Learning · Computer Science 2025-10-02 Syomantak Chaudhuri , Jerry Li , Thomas A. Courtade