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This article presents an algorithm that generates a conservative confidence interval of a specified length and coverage probability for the power of a Monte Carlo test (such as a bootstrap or permutation test). It is the first method that…

统计计算 · 统计学 2013-03-13 Axel Gandy , Patrick Rubin-Delanchy

Extant "fast" algorithms for Monte Carlo confidence sets are limited to univariate shift parameters for the one-sample and two-sample problems using the sample mean as the test statistic; moreover, some do not converge reliably and most do…

统计计算 · 统计学 2025-02-27 Amanda K. Glazer , Philip B. Stark

Understanding decisions made by neural networks is key for the deployment of intelligent systems in real world applications. However, the opaque decision making process of these systems is a disadvantage where interpretability is essential.…

机器学习 · 计算机科学 2023-04-12 Kai Fischer , Jonas Schneider

This thesis concerns multivariate phylogenetic comparative methods. We investigate two aspects of them. The first is the bias caused by measurement error in regression studies of comparative data. We calculate the formula for the bias and…

种群与进化 · 定量生物学 2024-12-13 Krzysztof Bartoszek

Multiple matrix sampling is a survey methodology technique that randomly chooses a relatively small subset of items to be presented to survey respondents for the purpose of reducing respondent burden. The data produced are missing…

统计方法学 · 统计学 2017-10-03 Stanislav Kolenikov , Heather Hammer

We describe an "embarrassingly parallel" method for Bayesian phylogenetic inference, annealed Sequential Monte Carlo, based on recent advances in the Sequential Monte Carlo literature such as adaptive determination of annealing parameters.…

种群与进化 · 定量生物学 2019-03-15 Liangliang Wang , Shijia Wang , Alexandre Bouchard-Côté

It is generally accepted that "diversity" is associated with success in evolutionary algorithms. However, diversity is a broad concept that can be measured and defined in a multitude of ways. To date, most evolutionary computation research…

神经与进化计算 · 计算机科学 2023-01-18 Jose Guadalupe Hernandez , Alexander Lalejini , Emily Dolson

A phylogeny describes the evolutionary history of an evolving population. Evolutionary search algorithms can perfectly track the ancestry of candidate solutions, illuminating a population's trajectory through the search space. However,…

神经与进化计算 · 计算机科学 2024-02-05 Alexander Lalejini , Marcos Sanson , Jack Garbus , Matthew Andres Moreno , Emily Dolson

Mathematical models are invaluable for understanding and predicting how biological systems behave, although their construction requires specifying mechanisms and relationships that are often not perfectly known. In the presence of multiple…

Conformal methods provide prediction sets for outcomes with confidence guarantees. We study their use in a selective inference setting, where inference is performed only when the prediction set is informative. The analyst may consider as…

统计方法学 · 统计学 2026-05-22 Israela Solomon , Etienne Roquain , Saharon Rosset , Ruth Heller

Purpose: In recent years Monte-Carlo sampling methods, such as Monte Carlo tree search, have achieved tremendous success in model free reinforcement learning. A combination of the so called upper confidence bounds policy to preserve the…

人工智能 · 计算机科学 2011-10-24 Boris Mitavskiy , Jonathan Rowe , Chris Cannings

The Monte Carlo method, proposed by Dell'Amico and Filippone, estimates a password's rank within a probabilistic model for password generation, i.e., it determines the password's strength according to this model. We propose several ideas to…

密码学与安全 · 计算机科学 2024-08-02 Martin Stanek

In molecular phylogeny, relationships among organisms are reconstructed using DNA or protein sequences and are displayed as trees. A linear increase in the number of sequences results in an exponential increase of possible trees. Thus,…

基因组学 · 定量生物学 2007-05-23 Kerstin Hoef-Emden

Phylogenetic analyses of gene expression have great potential for addressing a wide range of questions. These analyses will, for example, identify genes that have evolutionary shifts in expression that are correlated with evolutionary…

种群与进化 · 定量生物学 2014-01-14 Casey W. Dunn , Xi Luo , Zhijin Wu

Model selection is a cornerstone of statistical inference, where information criteria are widely employed to balance model fit and complexity. However, classical likelihood-based criteria are often highly sensitive to contamination,…

统计方法学 · 统计学 2026-03-26 Udita Goswami , Shuvashree Mondal

Phylogenetic inference is an intractable statistical problem on a complex space. Markov chain Monte Carlo methods are the primary tool for Bayesian phylogenetic inference but it is challenging to construct efficient schemes to explore the…

统计方法学 · 统计学 2022-10-11 Luke J. Kelly , Robin J. Ryder , Grégoire Clarté

Approximate inference in probabilistic graphical models (PGMs) can be grouped into deterministic methods and Monte-Carlo-based methods. The former can often provide accurate and rapid inferences, but are typically associated with biases…

机器学习 · 统计学 2019-01-09 Fredrik Lindsten , Jouni Helske , Matti Vihola

Biological phenotypes are products of complex evolutionary processes in which selective forces influence multiple biological trait measurements in unknown ways. Phylogenetic factor analysis disentangles these relationships across the…

Phylogeny is the field of modelling the temporal discrete dynamics of speciation. Complex models can nowadays be studied using the Approximate Bayesian Computation approach which avoids likelihood calculations. The field's progression is…

种群与进化 · 定量生物学 2020-11-23 Krzysztof Bartoszek , Pietro Liò

We consider a wide range of matrix models and study them using the Monte Carlo technique in the large $N$ limit. The results we obtain agree with exact analytic expressions and recent numerical bootstrap methods for models with one and two…

高能物理 - 理论 · 物理学 2022-04-05 Raghav G. Jha