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Robust principal component analysis (RPCA) is a well-studied problem with the goal of decomposing a matrix into the sum of low-rank and sparse components. In this paper, we propose a nonconvex feasibility reformulation of RPCA problem and…

Optimization and Control · Mathematics 2020-01-27 Aritra Dutta , Filip Hanzely , Peter Richtárik

How does one find dimensions in multivariate data that are reliably expressed across repetitions? For example, in a brain imaging study one may want to identify combinations of neural signals that are reliably expressed across multiple…

Machine Learning · Statistics 2022-12-05 Lucas C. Parra , Stefan Haufe , Jacek P. Dmochowski

Colocalization analysis aims to study complex spatial associations between bio-molecules via optical imaging techniques. However, existing colocalization analysis workflows only assess an average degree of colocalization within a certain…

Aligning partially overlapping point sets where there is no prior information about the value of the transformation is a challenging problem in computer vision. To achieve this goal, we first reduce the objective of the robust point…

Computer Vision and Pattern Recognition · Computer Science 2020-07-07 Wei Lian , WangMeng Zuo , Lei Zhang

Estimating effects of spatially structured exposures is complicated by unmeasured spatial confounders, which undermine identifiability in spatial linear regression models unless structural assumptions are imposed. We develop a general…

Methodology · Statistics 2025-12-30 Anik Burman , Elizabeth L. Ogburn , Abhirup Datta

Measurement error arises through a variety of mechanisms. A rich literature exists on the bias introduced by covariate measurement error and on methods of analysis to address this bias. By comparison, less attention has been given to errors…

Methodology · Statistics 2018-11-27 Pamela Shaw , Jiwei He , Bryan Shepherd

Probe-level models have led to improved performance in microarray studies but the various sources of probe-level contamination are still poorly understood. Data-driven analysis of probe performance can be used to quantify the uncertainty in…

Computational Engineering, Finance, and Science · Computer Science 2013-04-09 Leo Lahti , Laura L. Elo , Tero Aittokallio , Samuel Kaski

We evaluate methods for causal representation learning (CRL) on a simple, real-world system where these methods are expected to work. The system consists of a controlled optical experiment specifically built for this purpose, which…

Machine Learning · Computer Science 2025-04-29 Juan L. Gamella , Simon Bing , Jakob Runge

The pose problem is one of the bottlenecks in automatic face recognition. We argue that one of the diffculties in this problem is the severe misalignment in face images or feature vectors with different poses. In this paper, we propose that…

Computer Vision and Pattern Recognition · Computer Science 2015-07-30 Annan Li , Shiguang Shan , Xilin Chen , Bingpeng Ma , Shuicheng Yan , Wen Gao

Vision-based reinforcement learning (RL) is a promising approach to solve control tasks involving images as the main observation. State-of-the-art RL algorithms still struggle in terms of sample efficiency, especially when using image…

Machine Learning · Computer Science 2021-10-05 Elie Aljalbout , Maximilian Ulmer , Rudolph Triebel

We present the first algorithm to efficiently compute certifiably optimal solutions to range-aided simultaneous localization and mapping (RA-SLAM) problems. Robotic navigation systems increasingly incorporate point-to-point ranging sensors,…

Measuring algorithmic bias is crucial both to assess algorithmic fairness, and to guide the improvement of algorithms. Current methods to measure algorithmic bias in computer vision, which are based on observational datasets, are inadequate…

Computer Vision and Pattern Recognition · Computer Science 2020-07-15 Guha Balakrishnan , Yuanjun Xiong , Wei Xia , Pietro Perona

Many leading self-supervised methods for unsupervised representation learning, in particular those for embedding image features, are built on variants of the instance discrimination task, whose optimization is known to be prone to…

Computer Vision and Pattern Recognition · Computer Science 2024-08-06 Daniel Shalam , Simon Korman

Large vision-language models (LVLMs) often hallucinate when language priors dominate weak or ambiguous visual evidence. Existing contrastive decoding methods mitigate this problem by comparing predictions from the original image with those…

Computer Vision and Pattern Recognition · Computer Science 2026-05-15 Tian Qin , Junzhe Chen , Yuqing Shi , Tianshu Zhang , Qiang Ju , Lijie Wen

Regularized linear discriminant analysis (RLDA) is a widely used tool for classification and dimensionality reduction, but its performance in high-dimensional scenarios is inconsistent. Existing theoretical analyses of RLDA often lack clear…

Machine Learning · Statistics 2025-07-23 Yonghan Zhang , Zhangni Pu , Lu Yan , Jiang Hu

Attention calculation is extremely time-consuming for long-sequence inference tasks, such as text or image/video generation, in large models. To accelerate this process, we developed a low-precision, mathematically-equivalent algorithm…

Language representations are known to carry stereotypical biases and, as a result, lead to biased predictions in downstream tasks. While existing methods are effective at mitigating biases by linear projection, such methods are too…

Computation and Language · Computer Science 2021-09-14 Sunipa Dev , Tao Li , Jeff M Phillips , Vivek Srikumar

This paper studies the problem of Simultaneous Sparse Approximation (SSA). This problem arises in many applications which work with multiple signals maintaining some degree of dependency such as radar and sensor networks. In this paper, we…

Information Theory · Computer Science 2023-04-04 Sahar Sadrizadeh , Shahrzad Kiani , Mahdi Boloursaz , Farokh Marvasti

Canonical correlation analysis (CCA) is a technique for finding correlations between different data modalities and learning low-dimensional representations. As fairness becomes crucial in machine learning, fair CCA has gained attention.…

Machine Learning · Computer Science 2025-10-02 Bojian Hou , Zhanliang Wang , Zhuoping Zhou , Boning Tong , Zexuan Wang , Jingxuan Bao , Duy Duong-Tran , Qi Long , Li Shen

We consider the problem of estimating a low-dimensional parameter in high-dimensional linear regression. Constructing an approximately unbiased estimate of the parameter of interest is a crucial step towards performing statistical…

Statistics Theory · Mathematics 2021-07-30 Michael Celentano , Andrea Montanari