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The Normalized Relative Compression (NRC) is a recent dissimilarity measure, related to the Kolmogorov Complexity. It has been successfully used in different applications, like DNA sequences, images or even ECG (electrocardiographic)…

Information Theory · Computer Science 2018-06-04 João M. Carvalho , Susana Brás , Diogo Pratas , Jacqueline Ferreira , Sandra C. Soares , Armando J. Pinho

We present new consistent goodness-of-fit tests for exponential distribution, based on the Desu characterization. The test statistics represent the weighted $L^2$ and $L^{\infty}$ distances between appropriate V-empirical Laplace transforms…

Statistics Theory · Mathematics 2022-02-18 Marija Cuparić , Bojana Milošević , Marko Obradović

This work aims to extend the residual distribution (RD) framework to stiff relaxation problems. The RD is a class of schemes which is used to solve hyperbolic system of partial differential equations. Up to our knowledge, it was used only…

Numerical Analysis · Mathematics 2020-07-08 Rémi Abgrall , Davide Torlo

Human Pose Estimation (HPE) is increasingly important for applications like virtual reality and motion analysis, yet current methods struggle with balancing accuracy, computational efficiency, and reliable uncertainty quantification (UQ).…

Computer Vision and Pattern Recognition · Computer Science 2026-01-30 Shipeng Liu , Ziliang Xiong , Bastian Wandt , Per-Erik Forssén

The conditional average treatment effect (CATE) is the best measure of individual causal effects given baseline covariates. However, the CATE only captures the (conditional) average, and can overlook risks and tail events, which are…

Machine Learning · Statistics 2025-06-05 Nathan Kallus , Miruna Oprescu

In clinical follow-up studies with a time-to-event end point, the difference in the restricted mean survival time (RMST) is a suitable substitute for the hazard ratio (HR). However, the RMST only measures the survival of patients over a…

Methodology · Statistics 2023-06-27 Zijing Yang , Chengfeng Zhang , Yawen Hou , Zheng Chen

We study a robust alternative to empirical risk minimization called distributionally robust learning (DRL), in which one learns to perform against an adversary who can choose the data distribution from a specified set of distributions. We…

Machine Learning · Computer Science 2019-12-19 Charlie Frogner , Sebastian Claici , Edward Chien , Justin Solomon

There are many models, often called unnormalized models, whose normalizing constants are not calculated in closed form. Maximum likelihood estimation is not directly applicable to unnormalized models. Score matching, contrastive divergence…

Machine Learning · Statistics 2018-08-27 Masatoshi Uehara , Takeru Matsuda , Fumiyasu Komaki

In this paper, we introduce a new distribution generated by Lindley random variable which offers a more flexible model for modelling lifetime data. Various statistical properties like distribution function, survival function, moments,…

Applications · Statistics 2016-11-25 Deepesh Bhati , Mohd. Aamir Malik

Distributional Reinforcement Learning (DistRL) improves upon expectation-based methods by modeling full return distributions, but standard approaches often remain far from parsimonious. Categorical methods (e.g., C51) rely on fixed supports…

Artificial Intelligence · Computer Science 2026-05-06 Simo Alami C. , Rim Kaddah , Jesse Read , Marie-Paule Cani

This paper presents a procedure for testing the hypothesis that the underlying distribution of the data is elliptical when using robust location and scatter estimators instead of the sample mean and covariance matrix. Under mild assumptions…

Methodology · Statistics 2015-02-20 Ana M. Bianco , Graciela Boente , Isabel M. Rodrigues

Variable selection is an important problem in statistics and machine learning. Copula Entropy (CE) is a mathematical concept for measuring statistical independence and has been applied to variable selection recently. In this paper we…

Methodology · Statistics 2022-09-07 Jian Ma

In this paper, we propose nonparametric estimators for varextropy function of an absolutely continuous random variable. Consistency of the estimators is established under suitable regularity conditions. Moreover, a simulation study is…

Statistics Theory · Mathematics 2024-06-27 F. Goodarzi , R. Zamini

In reinforcement learning, agents collect state information and rewards through environmental interactions, essential for policy refinement. This process is notably time-consuming, especially in complex robotic simulations and real-world…

Robotics · Computer Science 2024-10-18 Ke Duan , Kai Yang , Houde Liu , Xueqian Wang

In this paper, we consider several efficient data structures for the problem of sampling from a dynamically changing discrete probability distribution, where some prior information is known on the distribution of the rates, in particular…

Computational Engineering, Finance, and Science · Computer Science 2021-10-13 Federico D'Ambrosio , Hans L. Bodlaender , Gerard T. Barkema

This article aims to introduced a new lifetime distribution named as exponentiated xgamma distribution (EXGD). The new generalization obtained from xgamma distribution, a special finite mixture of exponential and gamma distributions. The…

Statistics Theory · Mathematics 2018-10-22 Abhimanyu Singh Yadav , Mahendra Saha , Harsh Tripathi , Sumit Kumar

The ratio of two probability densities, called a density-ratio, is a vital quantity in machine learning. In particular, a relative density-ratio, which is a bounded extension of the density-ratio, has received much attention due to its…

Machine Learning · Statistics 2021-07-05 Atsutoshi Kumagai , Tomoharu Iwata , Yasuhiro Fujiwara

Stochastic reaction networks are a fundamental model to describe interactions between species where random fluctuations are relevant. The master equation provides the evolution of the probability distribution across the discrete state space…

Molecular Networks · Quantitative Biology 2021-06-15 Tabea Waizmann , Luca Bortolussi , Andrea Vandin , Mirco Tribastone

Quantifying uncertainty is critical for the safe deployment of ranking models in real-world applications. Recent work offers a rigorous solution using conformal prediction in a full ranking scenario, which aims to construct prediction sets…

Machine Learning · Computer Science 2026-02-02 Wenbo Liao , Huipeng Huang , Chen Jia , Huajun Xi , Hao Zeng , Hongxin Wei

We introduce new consistent and scale-free goodness-of-fit tests for the exponential distribution based on Puri-Rubin characterization. For the construction of test statistics we employ weighted $L^2$ distance between $V$-empirical Laplace…

Methodology · Statistics 2023-05-30 Marija Cuparić , Bojana Milošević , Marko Obradović