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We estimate numerically the regularities of a family of Strange Non--Chaotic Attractors related with one of the models studied in C. Grebogy et al. (1984) (see also G. Keller (1996)). To estimate these regularities we use wavelet analysis…

Dynamical Systems · Mathematics 2016-04-28 Lluís Alsedà , Josep Maria Mondelo , David Romero i Sànchez

This paper concerns pseudo labelling in segmentation. Our contribution is fourfold. Firstly, we present a new formulation of pseudo-labelling as an Expectation-Maximization (EM) algorithm for clear statistical interpretation. Secondly, we…

Computer Vision and Pattern Recognition · Computer Science 2022-09-14 Mou-Cheng Xu , Yukun Zhou , Chen Jin , Marius de Groot , Daniel C. Alexander , Neil P. Oxtoby , Yipeng Hu , Joseph Jacob

As intelligent agents become more generally-capable, i.e. able to master a wide variety of tasks, the complexity and cost of properly evaluating them rises significantly. Tasks that assess specific capabilities of the agents can be…

Artificial Intelligence · Computer Science 2026-02-12 Marc Lanctot , Kate Larson , Ian Gemp , Michael Kaisers

In this paper, we study the regularity assumptions commonly adopted in bilevel optimization with constrained lower-level problems, including the linear independence constraint qualification, the strict complementary slackness condition, and…

Optimization and Control · Mathematics 2026-05-15 Xiaotian Jiang , Chang He , Mingyi Hong , Shuzhong Zhang

Inferring racial discrimination in police use of force -- the average causal effect of civilian race on use of force -- requires two assumptions about policing prior to potential use of force: that officers do not discriminate in whom they…

Methodology · Statistics 2026-05-25 Thomas Leavitt , Jake Bowers , Luke Miratrix

This paper studies linear stochastic approximation (SA) algorithms and their application to multi-agent systems in engineering and sociology. As main contribution, we provide necessary and sufficient conditions for convergence of linear SA…

Optimization and Control · Mathematics 2018-09-07 Ge Chen , Xiaoming Duan , Wenjun Mei , Francesco Bullo

Explanation regularisation (ER) has been introduced as a way to guide text classifiers to form their predictions relying on input tokens that humans consider plausible. This is achieved by introducing an auxiliary explanation loss that…

Computation and Language · Computer Science 2025-02-06 Pedro Ferreira , Ivan Titov , Wilker Aziz

Semantic segmentation in real-world applications often requires not only accurate masks but also strict adherence to textual labeling guidelines. These guidelines are typically complex and long, and both human and automated labeling often…

Computer Vision and Pattern Recognition · Computer Science 2025-12-17 Vanshika Vats , Ashwani Rathee , James Davis

Consistency regularization describes a class of approaches that have yielded ground breaking results in semi-supervised classification problems. Prior work has established the cluster assumption - under which the data distribution consists…

Computer Vision and Pattern Recognition · Computer Science 2020-08-12 Geoff French , Samuli Laine , Timo Aila , Michal Mackiewicz , Graham Finlayson

This paper investigates the identification of quantiles and quantile regression parameters when observations are set valued. We define the identification set of quantiles of random sets in a way that extends the definition of quantiles for…

Methodology · Statistics 2020-04-10 Arie Beresteanu , Yuya Sasaki

We establish statistical properties of random-weighting methods in LASSO regression under different regularization parameters $\lambda_n$ and suitable regularity conditions. The random-weighting methods in view concern repeated optimization…

Methodology · Statistics 2022-05-25 Tun Lee Ng , Michael A. Newton

Screening rules were recently introduced as a technique for explicitly identifying active structures such as sparsity, in optimization problem arising in machine learning. This has led to new methods of acceleration based on a substantial…

Machine Learning · Statistics 2020-09-08 Eugene Ndiaye , Olivier Fercoq , Joseph Salmon

This paper studies least-square regression penalized with partly smooth convex regularizers. This class of functions is very large and versatile allowing to promote solutions conforming to some notion of low-complexity. Indeed, they force…

Optimization and Control · Mathematics 2014-07-01 Samuel Vaiter , Gabriel Peyré , Jalal M. Fadili

In many learning tasks, the structure of the target space of a function holds rich information about the relationships between evaluations of functions on different data points. Existing approaches attempt to exploit this relationship…

Computer Vision and Pattern Recognition · Computer Science 2016-02-12 Kwang In Kim , James Tompkin , Hanspeter Pfister , Christian Theobalt

A simple proof of the convergence of the variational regularization, with the regularization parameter, chosen by the discrepancy principle, is given for linear operators under suitable assumptions. It is shown that the discrepancy…

Mathematical Physics · Physics 2007-05-23 A. G. Ramm

We provide adaptive inference methods, based on $\ell_1$ regularization, for regular (semi-parametric) and non-regular (nonparametric) linear functionals of the conditional expectation function. Examples of regular functionals include…

Machine Learning · Statistics 2022-10-25 Victor Chernozhukov , Whitney Newey , Rahul Singh

Ranked data appear in many different applications, including voting and consumer surveys. There often exhibits a situation in which data are partially ranked. Partially ranked data is thought of as missing data. This paper addresses…

Methodology · Statistics 2019-03-01 Kento Nakamura , Keisuke Yano , Fumiyasu Komaki

We propose here a smooth estimator of the mean residual life function based on randomly censored data. This is derived by smoothing the product-limit estimator using the Chaubey-Sen technique (Chaubey and Sen (1998)). The resulting…

Statistics Theory · Mathematics 2008-12-18 Yogendra P. Chaubey , Arusharka Sen

In this work, we investigate the generalization properties of random feature methods. Our analysis extends prior results for Tikhonov regularization to a broad class of spectral regularization techniques and further generalizes the setting…

Machine Learning · Statistics 2026-03-03 Mike Nguyen , Nicole Mücke

Convolutional neural networks (CNNs) often perform well, but their stability is poorly understood. To address this problem, we consider the simple prototypical problem of signal denoising, where classical approaches such as nonlinear…

Machine Learning · Computer Science 2020-06-09 Tobias Alt , Joachim Weickert , Pascal Peter
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