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Principal component analysis (PCA) aims at estimating the direction of maximal variability of a high-dimensional dataset. A natural question is: does this task become easier, and estimation more accurate, when we exploit additional…

Information Theory · Computer Science 2014-06-19 Andrea Montanari , Emile Richard

Full-Reference image quality assessment (FR IQA) is important for image compression, restoration and generative modeling, yet current neural metrics remain slow and vulnerable to adversarial perturbations. We present BiRQA, a compact FR IQA…

Computer Vision and Pattern Recognition · Computer Science 2026-02-25 Aleksandr Gushchin , Dmitriy S. Vatolin , Anastasia Antsiferova

Principal Component Analysis (PCA) is widely used for dimensionality reduction and data analysis. However, PCA results are adversely affected by outliers often observed in real-world data. Existing robust PCA methods are often…

Computational Engineering, Finance, and Science · Computer Science 2025-06-23 Timbwaoga Aime Judicael Ouermi , Jixian Li , Chris R. Johnson

We propose a novel unsupervised framework for \emph{Invariant Risk Minimization} (IRM), extending the concept of invariance to settings where labels are unavailable. Traditional IRM methods rely on labeled data to learn representations that…

Machine Learning · Computer Science 2026-03-05 Yotam Norman , Ron Meir

The work aims to stabilize the unstable index-1 descriptor systems by Riccati-based feedback stabilization via a modified form of Iterative Rational Krylov Algorithm (IRKA), which is a bi-tangential interpolation-based technique. In the…

Optimization and Control · Mathematics 2021-03-31 Mahtab Uddin , M. Monir Uddin , M. A. H. Khan , Md. Motlubar Rahman

Reliable forecasting of multivariate time series under anomalous conditions is crucial in applications such as ATM cash logistics, where sudden demand shifts can disrupt operations. Modern deep forecasters achieve high accuracy on normal…

Machine Learning · Computer Science 2025-12-09 Joel Ekstrand , Tor Mattsson , Zahra Taghiyarrenani , Slawomir Nowaczyk , Jens Lundström , Mikael Lindén

Subspace methods like canonical variate analysis (CVA) are regression based methods for the estimation of linear dynamic state space models. They have been shown to deliver accurate (consistent and asymptotically equivalent to quasi maximum…

Methodology · Statistics 2025-02-17 Dietmar Bauer

Mechanistic Interpretability (MI) aims to reverse-engineer model behaviors by identifying functional sub-networks. Yet, the scientific validity of these findings depends on their stability. In this work, we argue that circuit discovery is…

Machine Learning · Computer Science 2026-02-04 Maxime Méloux , François Portet , Maxime Peyrard

Reliable confidence estimates are important for safely deploying vision-based controllers in autonomous racing, where safety predictions must be derived from camera images, yet modern predictors become dangerously overconfident under…

Robotics · Computer Science 2026-05-21 Zhenjiang Mao , Jiawen Wu , Gabriel Wagner , Zhongzheng Zhang , Ivan Ruchkin

We address the question of sensitivity analysis for model outputs of any dimension using Regional Sensitivity Analysis (RSA). Classical RSA computes sensitivity indices related to the impact of model inputs variations on the occurrence of a…

Statistics Theory · Mathematics 2022-11-04 Sébastien Roux , Patrice Loisel , Samuel Buis

This paper focuses on detecting anomalies in surveillance video using keywords by leveraging foundational models' feature representation generalization capabilities. We present a novel, lightweight pipeline for anomaly classification using…

Computer Vision and Pattern Recognition · Computer Science 2025-03-17 Thomas Foltz

We consider a multi-view learning problem known as group independent component analysis (group ICA), where the goal is to recover shared independent sources from many views. The statistical modeling of this problem requires to take noise…

Machine Learning · Statistics 2021-02-23 Hugo Richard , Pierre Ablin , Aapo Hyvärinen , Alexandre Gramfort , Bertrand Thirion

Standard approaches to causal inference, such as Outcome Regression and Inverse Probability Weighted Regression Adjustment (IPWRA), are typically derived through the lens of missing data imputation and identification theory. In this work,…

Machine Learning · Statistics 2025-12-23 Ashley Zhang

Vision anomaly detection, particularly in unsupervised settings, often struggles to distinguish between normal samples and anomalies due to the wide variability in anomalies. Recently, an increasing number of studies have focused on…

Computer Vision and Pattern Recognition · Computer Science 2025-02-24 Dong Chen , Zhengqing Hu , Peiguang Fan , Yueting Zhuang , Yafei Li , Qidong Liu , Xiaoheng Jiang , Mingliang Xu

The principal component analysis (PCA) is a staple statistical and unsupervised machine learning technique in finance. The application of PCA in a financial setting is associated with several technical difficulties, such as numerical…

Statistical Finance · Quantitative Finance 2021-08-31 Paul Bilokon , David Finkelstein

Principal component analysis (PCA) is a classical feature extraction method, but it may be adversely affected by outliers, resulting in inaccurate learning of the projection matrix. This paper proposes a robust method to estimate both the…

Machine Learning · Computer Science 2024-08-23 Yingzhuo Deng , Ke Hu , Bo Li , Yao Zhang

Quantum key distribution (QKD) security fundamentally relies on the ability to distinguish genuine quantum correlations from classical eavesdropper simulations, yet existing certification methods lack rigorous statistical guarantees under…

Quantum Physics · Physics 2025-12-04 Davut Emre Tasar , Ceren Ocal Tasar

The paper introduces an interactive machine learning mechanism to process the measurements of an uncertain, nonlinear dynamic process and hence advise an actuation strategy in real-time. For concept demonstration, a trajectory-following…

Systems and Control · Electrical Eng. & Systems 2023-03-16 Mohammed Abouheaf , Derek Boase , Wail Gueaieb , Davide Spinello , Salah Al-Sharhan

In this paper, we propose a novel robust Principal Component Analysis (PCA) for high-dimensional data in the presence of various heterogeneities, especially the heavy-tailedness and outliers. A transformation motivated by the characteristic…

Methodology · Statistics 2022-04-05 Lingyu He , Yanrong Yang , Bo Zhang

Super-resolution (SR), a classical inverse problem in computer vision, is inherently ill-posed, inducing a distribution of plausible solutions for every input. However, the desired result is not simply the expectation of this distribution,…

Computer Vision and Pattern Recognition · Computer Science 2025-04-28 Fengjia Zhang , Samrudhdhi B. Rangrej , Tristan Aumentado-Armstrong , Afsaneh Fazly , Alex Levinshtein
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