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We present predictions for the statistical error due to finite sampling in the presence of thermal fluctuations in molecular simulation algorithms. Specifically, we establish how these errors depend on Mach number, Knudsen number, number of…

Statistical Mechanics · Physics 2009-11-07 Nicolas Hadjiconstantinou , Alejandro L. Garcia , Martin Z. Bazant , Gang He

Under constant selection, each trait has a fixed fitness, and small mutation rates allow populations to efficiently exploit the optimal trait. Therefore it is reasonable to expect mutation rates will evolve downwards. However, we find this…

Populations and Evolution · Quantitative Biology 2022-08-23 Brian Mintz , Feng Fu

The general fluctuation theory is reviewed with special attention to the role played by different ensembles, and is extended to incorporate stationary metastable states obtained in the long time limit. The fluctuation in a quantity depends…

Statistical Mechanics · Physics 2007-05-23 P. D. Gujrati

We provide a novel characterization of semiparametric efficiency in a generic supervised learning setting where the outcome mean function -- defined as the conditional expectation of the outcome of interest given the other observed…

Methodology · Statistics 2025-04-22 Harrison H. Li

Epidemiologists and applied statisticians often believe that relative effect measures conditional on covariates, such as risk ratios and mean ratios, are ``transportable'' across populations. Here, we examine the identification of causal…

Methodology · Statistics 2022-02-24 Issa J. Dahabreh , Sarah E. Robertson , Jon A. Steingrimsson

Given a collection of computational models that all estimate values of the same natural process, we compare the performance of the average of the collection to the individual member whose estimates are nearest a given set of observations.…

Statistics Theory · Mathematics 2008-07-10 C. L. Winter , D. Nychka

Quantile regression is a powerful tool for detecting exposure-outcome associations given covariates across different parts of the outcome's distribution, but has two major limitations when the aim is to infer the effect of an exposure.…

We introduce and solve a model of a thermometric measurement on a driven glassy system in a stationary state. We show that a thermometer with a sufficiently slow response measures a temperature higher than that of the environment, but that…

Statistical Mechanics · Physics 2009-10-31 Raphael Exartier , Luca Peliti

Counterfactual explanations provide individuals with cost-optimal recommendations to achieve their desired outcomes. However, when a significant number of individuals seek similar state modifications, this individual-centric approach can…

Machine Learning · Computer Science 2025-10-01 Ahmad-Reza Ehyaei , Ali Shirali , Samira Samadi

Single-cell experiments revealed substantial variability in generation times, growth rates but also in birth and division sizes between genetically identical cells. Understanding how these fluctuations determine the fitness of the…

Populations and Evolution · Quantitative Biology 2025-03-24 Arthur Genthon

In her Comment arXiv:1202.4066 [hep-th] Hossenfelder proposes a generalization of the results we reported in Phys. Rev. D84 (2011) 087702 and argues that thermal fluctuations introduce incurable pathologies for the description of…

High Energy Physics - Theory · Physics 2013-07-18 Giovanni Amelino-Camelia , Laurent Freidel , Jerzy Kowalski-Glikman , Lee Smolin

We analyze the validity of the fluctuation-dissipation theorem for slow relaxation systems in the context of mesoscopic nonequilibrium thermodynamics. We demonstrate that the violation arises as a natural consequence of the elimination of…

Statistical Mechanics · Physics 2009-11-07 A. Perez-Madrid , D. Reguera , J. M. Rubi

We introduce and explore an empirical index of increase that works in both deterministic and random environments, thus allowing to assess monotonicity of functions that are prone to random measurement-errors. We prove consistency of the…

Statistics Theory · Mathematics 2018-02-07 Lingzhi Chen , Youri Davydov , Nadezhda Gribkova , Ričardas Zitikis

Metabolism and evolution are closely connected: if a mutation incurs extra energetic costs for an organism, there is a baseline selective disadvantage that may or may not be compensated for by other adaptive effects. A long-standing, but to…

Populations and Evolution · Quantitative Biology 2019-06-19 Efe Ilker , Michael Hinczewski

The exponent of anomalous diffusion of virus in cytoplasm of a living cell is experimentally known to fluctuate depending on localized areas of the cytoplasm, indicating heterogeneity of diffusion. In a recent paper (Itto, 2012), a…

Biological Physics · Physics 2016-07-14 Yuichi Itto

We investigate a selection-mutation model for the dynamics of technological innovation,a special case of reaction-diffusion equations. Although mutations are assumed to increase the variety of technologies, not their average success…

Statistical Mechanics · Physics 2007-05-23 Dirk Helbing , Martin Treiber , Nicole J. Saam

This paper tackles the challenge of detecting unreliable behavior in regression algorithms, which may arise from intrinsic variability (e.g., aleatoric uncertainty) or modeling errors (e.g., model uncertainty). First, we formally introduce…

Machine Learning · Computer Science 2024-06-12 Andres Altieri , Marco Romanelli , Georg Pichler , Florence Alberge , Pablo Piantanida

We have developed in the previous works a statistical model of quantum fluctuation based on a chaotic deviation from infinitesimal stationary action which is constrained by the principle of Locality to have a unique exponential distribution…

Quantum Physics · Physics 2015-06-19 Agung Budiyono

This article presents the problem of estimating the population mean using auxiliary information in the presence of measurement errors. A numerical study is made among the proposed estimator, the exponential ratio estimator, Singh and…

Applications · Statistics 2014-05-19 Sachin Malik , Rajesh Singh

Performative predictions influence the very outcomes they aim to forecast. We study performative predictions that affect a sample (e.g., only existing users of an app) and/or the whole population (e.g., all potential app users). This raises…

Machine Learning · Statistics 2026-02-09 Julian Rodemann , Unai Fischer-Abaigar , James Bailie , Krikamol Muandet
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