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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…

信息论 · 计算机科学 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…

计算机视觉与模式识别 · 计算机科学 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…

计算工程、金融与科学 · 计算机科学 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…

机器学习 · 计算机科学 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…

最优化与控制 · 数学 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…

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…

统计方法学 · 统计学 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…

机器学习 · 计算机科学 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…

机器人学 · 计算机科学 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…

统计理论 · 数学 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…

计算机视觉与模式识别 · 计算机科学 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…

机器学习 · 统计学 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,…

机器学习 · 统计学 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…

计算机视觉与模式识别 · 计算机科学 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…

统计金融 · 定量金融 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…

机器学习 · 计算机科学 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…

量子物理 · 物理学 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…

系统与控制 · 电气工程与系统科学 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…

统计方法学 · 统计学 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,…

计算机视觉与模式识别 · 计算机科学 2025-04-28 Fengjia Zhang , Samrudhdhi B. Rangrej , Tristan Aumentado-Armstrong , Afsaneh Fazly , Alex Levinshtein
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