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Recently, the concept of cumulative residual entropy (CRE) has been studied by many researchers in higher dimensions. In this article, we extend the definition of (dynamic) cumulative past entropy (DCPE), a dual measure of (dynamic) CRE, to…

Statistics Theory · Mathematics 2015-09-10 Amarjit Kundu , Chanchal Kundu

Recent studies have demonstrated that correntropy is an efficient tool for analyzing higher-order statistical moments in nonGaussian noise environments. Although it has been used with complex data, some adaptations were then necessary…

Information Theory · Computer Science 2016-06-16 João P. F. Guimarães , Aluisio I. R. Fontes , Joilson B. A. Rego , Allan de M. Martins

Do two data samples come from different distributions? Recent studies of this fundamental problem focused on embedding probability distributions into sufficiently rich characteristic Reproducing Kernel Hilbert Spaces (RKHSs), to compare…

Machine Learning · Computer Science 2013-05-03 Somayeh Danafar , Paola M. V. Rancoita , Tobias Glasmachers , Kevin Whittingstall , Juergen Schmidhuber

Conversational recommendation system (CRS) is emerging as a user-friendly way to capture users' dynamic preferences over candidate items and attributes. Multi-shot CRS is designed to make recommendations multiple times until the user either…

Information Retrieval · Computer Science 2022-07-04 Yinan Zhang , Boyang Li , Yong Liu , You Yuan , Chunyan Miao

We propose a graph-based clustering method based on Cluster Catch Digraphs (CCDs) that extends their applicability to moderate-dimensional data settings. Existing CCD variants, such as RK-CCDs, rely on spatial randomness tests based on…

Machine Learning · Computer Science 2026-04-15 Rui Shi , Elvan Ceyhan , Nedret Billor

This article proposes a novel variance estimator for within-cluster resampling (WCR) and modified within-cluster resampling (MWCR) - two existing methods for analyzing longitudinal data. WCR is a simple but computationally intensive method,…

Methodology · Statistics 2019-12-02 Daniel Xu , Pamela Shaw , Ian Barnett

Recent advances have demonstrated the possibility of solving the deconvolution problem without prior knowledge of the noise distribution. In this paper, we study the repeated measurements model, where information is derived from multiple…

Statistics Theory · Mathematics 2024-09-04 Jérémie Capitao-Miniconi , Elisabeth Gassiat , Luc Lehéricy

Language models can learn a range of capabilities from unsupervised training on text corpora. However, to solve a particular problem (such as text summarization) it is typically necessary to fine-tune them on a task-specific dataset. It is…

Computation and Language · Computer Science 2022-03-16 Adam Gleave , Geoffrey Irving

Sigma clipping is commonly used in astronomy for outlier rejection, but the number of standard deviations beyond which one should clip data from a sample ultimately depends on the size of the sample. Chauvenet rejection is one of the…

Instrumentation and Methods for Astrophysics · Physics 2023-01-20 M. P. Maples , D. E. Reichart , N. C. Konz , T. A. Berger , A. S. Trotter , J. R. Martin , D. A. Dutton , M. L. Paggen , R. E. Joyner , C. P. Salemi

Recent work has shown that standard training via empirical risk minimization (ERM) can produce models that achieve high accuracy on average but low accuracy on underrepresented groups due to the prevalence of spurious features. A…

Machine Learning · Computer Science 2023-05-11 Yachuan Liu , Bohan Zhang , Qiaozhu Mei , Paramveer Dhillon

The ability to accurately estimate the sample size required by a stepped-wedge (SW) cluster randomized trial (CRT) routinely depends upon the specification of several nuisance parameters. If these parameters are mis-specified, the trial…

Methodology · Statistics 2017-10-10 Michael Grayling , Adrian Mander , James Wason

Testing judicial impartiality is a problem of fundamental importance in empirical legal studies, for which standard regression methods have been popularly used to estimate the extralegal factor effects. However, those methods cannot handle…

Methodology · Statistics 2024-08-09 Jiaxin Shi , Fang Wang , Yuan Gao , Xiaojun Song , Hansheng Wang

Driven by a wide range of applications, many principal subspace estimation problems have been studied individually under different structural constraints. This paper presents a unified framework for the statistical analysis of a general…

Statistics Theory · Mathematics 2020-11-17 T. Tony Cai , Hongzhe Li , Rong Ma

Existing training criteria in automatic speech recognition(ASR) permit the model to freely explore more than one time alignments between the feature and label sequences. In this paper, we use entropy to measure a model's uncertainty, i.e.…

Computation and Language · Computer Science 2022-12-26 Ehsan Variani , Ke Wu , David Rybach , Cyril Allauzen , Michael Riley

We consider robust empirical risk minimization (ERM), where model parameters are chosen to minimize the worst-case empirical loss when each data point varies over a given convex uncertainty set. In some simple cases, such problems can be…

Optimization and Control · Mathematics 2024-09-17 Eric Luxenberg , Dhruv Malik , Yuanzhi Li , Aarti Singh , Stephen Boyd

Reduced-rank regression recognises the possibility of a rank-deficient matrix of coefficients. We propose a novel Bayesian model for estimating the rank of the coefficient matrix, which obviates the need for post-processing steps and allows…

Methodology · Statistics 2024-02-14 Maria F. Pintado , Matteo Iacopini , Luca Rossini , Alexander Y. Shestopaloff

LLMs' overconfidence, particularly when hallucinating, poses a significant challenge for the deployment of the models in safety-critical settings and makes a reliable estimation of uncertainty necessary. Existing approaches for uncertainty…

Machine Learning · Computer Science 2026-05-26 Hamed Karimi , Vaishali Meyappan , Reza Samavi

Ranked set sampling (RSS) is a cost-efficient study design that uses inexpensive baseline ranking to select a more informative subset of individuals for full measurement. While RSS is well known to improve precision over simple random…

Methodology · Statistics 2025-12-30 Nabil Awan , Richard J. Chappell

Entropy estimation plays a crucial role in various fields, such as information theory, statistical data science, and machine learning. However, traditional entropy estimation methods often struggle with complex data distributions.…

Methodology · Statistics 2025-05-16 Luca Scrucca

Pseudo-measurements are the dominant source of uncertainty in distribution system state estimation (DSSE), yet their distributional assumptions are treated as fixed inputs by existing uncertainty quantification methods. This paper…

Systems and Control · Electrical Eng. & Systems 2026-05-14 Betül Mamudi , Jochen Stiasny , Jochen Cremer