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The decision whether a measured distribution complies with an equidistribution is a central element of many biostatistical methods. High throughput differential expression measurements, for instance, necessitate to judge possible…

无序系统与神经网络 · 物理学 2007-05-23 Thorsten Poeschel , Jan A. Freund

In situations where both extreme and non-extreme data are of interest, modelling the whole data set accurately is important. In a univariate framework, modelling the bulk and tail of a distribution has been extensively studied before.…

统计方法学 · 统计学 2023-10-11 Lídia M. André , Jennifer L. Wadsworth , Adrian O'Hagan

We first review existing sequential methods for estimating a binomial proportion. Afterward, we propose a new family of group sequential sampling schemes for estimating a binomial proportion with prescribed margin of error and confidence…

统计理论 · 数学 2013-11-05 Zhengjia Chen , Xinjia Chen

Conformal predictive systems are a recent modification of conformal predictors that output, in regression problems, probability distributions for labels of test observations rather than set predictions. The extra information provided by…

机器学习 · 计算机科学 2019-11-05 Vladimir Vovk , Ivan Petej , Ilia Nouretdinov , Valery Manokhin , Alex Gammerman

Statistical learning relies upon data sampled from a distribution, and we usually do not care what actually generated it in the first place. From the point of view of causal modeling, the structure of each distribution is induced by…

机器学习 · 计算机科学 2018-09-11 Giambattista Parascandolo , Niki Kilbertus , Mateo Rojas-Carulla , Bernhard Schölkopf

Experimental joint multiplicity distributions of neutrons and charged particles emitted in complex nuclear reactions provide an important test of theoretical models. The method is applied to test three different theoretical models of…

核实验 · 物理学 2009-10-31 J. Toke , D. K. Agnihotri , W. Skulski , W. U. Schroeder

Computing observables from conditioned dynamics is typically computationally hard, because, although obtaining independent samples efficiently from the unconditioned dynamics is usually feasible, generally most of the samples must be…

数据分析、统计与概率 · 物理学 2026-01-08 Alfredo Braunstein , Giovanni Catania , Luca Dall'Asta , Matteo Mariani , Anna Paola Muntoni

Graphical models are widely used to make inferences concerning interplay in multivariate systems. In many applications, data are collected from multiple related but nonidentical units whose underlying networks may differ but are likely to…

统计方法学 · 统计学 2014-12-04 Chris J. Oates , Jim Korkola , Joe W. Gray , Sach Mukherjee

Probability density estimation from observed data constitutes a central task in statistics. In this brief, we focus on the problem of estimating the copula density associated to any observed data, as it fully describes the dependence…

机器学习 · 计算机科学 2025-07-09 Nunzio A. Letizia , Nicola Novello , Andrea M. Tonello

Systems biology models are useful models of complex biological systems that may require a large amount of experimental data to fit each model's parameters or to approximate a likelihood function. These models range from a few to thousands…

定量方法 · 定量生物学 2024-07-12 Vincent D. Zaballa , Elliot E. Hui

Generative molecular optimization aims to design molecules with properties surpassing those of existing compounds. However, such candidates are rare and expensive to evaluate, yielding sample efficiency essential. Additionally, surrogate…

Distribution shifts are ubiquitous in real-world machine learning applications, posing a challenge to the generalization of models trained on one data distribution to another. We focus on scenarios where data distributions vary across…

机器学习 · 统计学 2024-06-05 Steven Wilkins-Reeves , Xu Chen , Qi Ma , Christine Agarwal , Aude Hofleitner

A well-known metric for quantifying the similarity between two clusterings is the adjusted mutual information. Compared to mutual information, a corrective term based on random permutations of the labels is introduced, preventing two…

机器学习 · 计算机科学 2021-03-24 Denys Lazarenko , Thomas Bonald

We introduce the coverage correlation coefficient, a novel nonparametric measure of statistical association designed to quantifies the extent to which two random variables have a joint distribution concentrated on a singular subset with…

统计方法学 · 统计学 2025-08-18 Xuzhi Yang , Mona Azadkia , Tengyao Wang

Methods for split conformal prediction leverage calibration samples to transform any prediction rule into a set-prediction rule that complies with a target coverage probability. Existing methods provide remarkably strong performance…

机器学习 · 统计学 2025-10-15 Santiago Mazuelas

One popular approach to incorporating experimental data into molecular simulations is to restrain the ensemble average of observables to their experimental values. Here I derive equations for the equilibrium distributions generated by…

统计力学 · 物理学 2019-05-22 Huafeng Xu

In this paper, we obtain general representations for the joint distributions and copulas of arbitrary dependent random variables absolutely continuous with respect to the product of given one-dimensional marginal distributions. The…

统计理论 · 数学 2016-08-16 Victor H. de la Peña , Rustam Ibragimov , Shaturgun Sharakhmetov

Organisms and algorithms learn probability distributions from previous observations, either over evolutionary time or on the fly. In the absence of regularities, estimating the underlying distribution from data would require observing each…

统计力学 · 物理学 2024-12-10 William Bialek , Stephanie E. Palmer , David J. Schwab

We formulate the statistics of the discrete multicomponent fragmentation event using a methodology borrowed from statistical mechanics. We generate the ensemble of all feasible distributions that can be formed when a single integer…

统计力学 · 物理学 2020-07-03 Themis Matsoukas

To learn about a physical system of interest, experimental results must be able to discriminate among models. We introduce a geometrical measure to quantify the distance between models for pseudoscalar-meson photoproduction in amplitude…

高能物理 - 唯象学 · 物理学 2016-06-22 J. Nys , J. Ryckebusch , D. G. Ireland , D. I. Glazier