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It has been recently shown in the literature that the sample averages from online learning experiments are biased when used to estimate the mean reward. To correct the bias, off-policy evaluation methods, including importance sampling and…

Machine Learning · Computer Science 2021-12-02 Ningyuan Chen , Xuefeng Gao , Yi Xiong

Power grid expansion planning requires making large investment decisions in the present that will impact the future cost and reliability of a system exposed to wide-ranging uncertainties. Extreme temperatures can pose significant challenges…

Optimization and Control · Mathematics 2024-05-30 Ramsey Rossmann , Mihai Anitescu , Julie Bessac , Michael Ferris , Mitchell Krock , James Luedtke , Line Roald

We propose a novel family of test statistics to detect the presence of changepoints in a sequence of dependent, possibly multivariate, functional-valued observations. Our approach allows to test for a very general class of changepoints,…

Methodology · Statistics 2023-10-10 B. Cooper Boniece , Lajos Horváth , Lorenzo Trapani

In bioequivalence design, power analyses dictate how much data must be collected to detect the absence of clinically important effects. Power is computed as a tail probability in the sampling distribution of the pertinent test statistics.…

Methodology · Statistics 2025-01-27 Luke Hagar , Nathaniel T. Stevens

The two-sample homogeneity testing problem is fundamental in statistics and becomes particularly challenging in high dimensions, where classical tests can suffer substantial power loss. We develop a learning-assisted procedure based on the…

Methodology · Statistics 2026-01-30 Xiaoyu Hu , Zhenhua Lin

The ability to evaluate the outcomes of quantum annealers is essential for such devices to be used in complex computational tasks. We introduce a statistical test of the quality of Ising-based annealers' output based on the data only,…

Quantum Physics · Physics 2022-10-06 Krzysztof Domino , Mátyás Koniorczyk , Zbigniew Puchała

Measuring average differences in an outcome across racial or ethnic groups is a crucial first step for equity assessments, but researchers often lack access to data on individuals' races and ethnicities to calculate them. A common solution…

Methodology · Statistics 2024-03-12 Benjamin Lu , Jia Wan , Derek Ouyang , Jacob Goldin , Daniel E. Ho

We develop a projected Wasserstein distance for the two-sample test, a fundamental problem in statistics and machine learning: given two sets of samples, to determine whether they are from the same distribution. In particular, we aim to…

Machine Learning · Statistics 2024-04-01 Jie Wang , Rui Gao , Yao Xie

Energy-Based Models (EBMs) have proven to be a highly effective approach for modelling densities on finite-dimensional spaces. Their ability to incorporate domain-specific choices and constraints into the structure of the model through…

Machine Learning · Computer Science 2023-02-24 Jen Ning Lim , Sebastian Vollmer , Lorenz Wolf , Andrew Duncan

The increasing availability of time --and space-- resolved data describing human activities and interactions gives insights into both static and dynamic properties of human behavior. In practice, nevertheless, real-world datasets can often…

Physics and Society · Physics 2013-11-27 Nicolas Tremblay , Alain Barrat , Cary Forest , Mark Nornberg , Jean-François Pinton , Pierre Borgnat

The general philosophy for bootstrap or permutation methods for testing hypotheses is to simulate the variation of the test statistic by generating the sampling distribution which assumes both that the null hypothesis is true, and that the…

Methodology · Statistics 2012-05-18 Anna Varvak

Evaluating whether data streams are drawn from the same distribution is at the heart of various machine learning problems. This is particularly relevant for data generated by dynamical systems since such systems are essential for many…

Random matrix theory is a useful tool in the study of the physics of multiple scattering systems, often striking a balance between computation speed and physical rigour. Propagation of waves through thick disordered media, as arises in for…

Mathematical Physics · Physics 2024-05-07 Niall Byrnes , Gary R. W. Greaves , Matthew R. Foreman

Spectral estimation (SE) aims to identify how the energy of a signal (e.g., a time series) is distributed across different frequencies. This can become particularly challenging when only partial and noisy observations of the signal are…

Machine Learning · Statistics 2019-01-15 Felipe Tobar

The entropic risk measure is widely used in high-stakes decision-making across economics, management science, finance, and safety-critical control systems because it captures tail risks associated with uncertain losses. However, when data…

Optimization and Control · Mathematics 2026-01-05 Utsav Sadana , Erick Delage , Angelos Georghiou

In this paper, we propose a new spectral-based approach to hypothesis testing for populations of networks. The primary goal is to develop a test to determine whether two given samples of networks come from the same random model or…

Methodology · Statistics 2020-11-26 Li Chen , Nathaniel Josephs , Lizhen Lin , Jie Zhou , Eric D. Kolaczyk

A number of applications require two-sample testing on ranked preference data. For instance, in crowdsourcing, there is a long-standing question of whether pairwise comparison data provided by people is distributed similar to…

Machine Learning · Statistics 2020-11-20 Charvi Rastogi , Sivaraman Balakrishnan , Nihar B. Shah , Aarti Singh

Biased sampling of collective variables is widely used to accelerate rare events in molecular simulations and to explore free energy surfaces. However, computational efficiency of these methods decreases with increasing number of collective…

Chemical Physics · Physics 2017-04-05 Shalini Awasthi , Nisanth N. Nair

We demonstrate that is it possible to simulate a system in thermal equilibrium even when the energy cannot be evaluated exactly, provided the error distribution is known. This leads to an effective optimisation strategy for problems where…

Statistical Mechanics · Physics 2009-11-10 Robin C. Ball , Thomas M. A. Fink , Neill E. Bowler

To design Bayesian studies, criteria for the operating characteristics of posterior analyses - such as power and the type I error rate - are often assessed by estimating sampling distributions of posterior probabilities via simulation. In…

Methodology · Statistics 2025-03-17 Luke Hagar , Nathaniel T. Stevens
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