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Bayesian probability theory is used as a framework to develop a formalism for the scientific method based on principles of inductive reasoning. The formalism allows for precise definitions of the key concepts in theories of physics and also…

数据分析、统计与概率 · 物理学 2011-09-12 Roberto C. Alamino

Background: Many mathematical models have now been employed across every area of systems biology. These models increasingly involve large numbers of unknown parameters, have complex structure which can result in substantial evaluation time…

分子网络 · 定量生物学 2018-01-15 Ian Vernon , Junli Liu , Michael Goldstein , James Rowe , Jen Topping , Keith Lindsey

We describe a Bayesian formalism for analyzing individual gravitational-wave events in light of the rest of an observed population. This analysis reveals how the idea of a "population-informed prior" arises naturally from a suitable…

广义相对论与量子宇宙学 · 物理学 2021-11-11 Christopher J. Moore , Davide Gerosa

Population protocols are a relatively novel computational model in which very resource-limited anonymous agents interact in pairs with the goal of computing predicates. We consider the probabilistic version of this model, which naturally…

分布式、并行与集群计算 · 计算机科学 2022-09-20 Vladyslav Melnychuk

In this paper we briefly review the main methodological aspects concerned with the application of the Bayesian approach to model choice and model averaging in the context of variable selection in regression models. This includes prior…

统计计算 · 统计学 2016-12-08 Anabel Forte , Gonzalo Garcia-Donato , Mark Steel

Bayesian models provide recursive inference naturally because they can formally reconcile new data and existing scientific information. However, popular use of Bayesian methods often avoids priors that are based on exact posterior…

统计方法学 · 统计学 2019-04-29 Mevin B. Hooten , Devin S. Johnson , Brian M. Brost

Modern statistical software and machine learning libraries are enabling semi-automated statistical inference. Within this context, it appears easier and easier to try and fit many models to the data at hand, reversing thereby the Fisherian…

统计方法学 · 统计学 2020-09-28 Pierre-Alexandre Mattei

Effective intervention strategies for epidemics rely on the identification of their origin and on the robustness of the predictions made by network disease models. We introduce a Bayesian uncertainty quantification framework to infer model…

Biological fitness is not an observable quantity and must be inferred from population dynamics. Bayesian inference applied to the Moran process and variants yields a robust inference method that can infer fitness in populations evolving via…

动力系统 · 数学 2013-10-24 Marc Harper

\noindent The modal age at death is an increasingly used measure for understanding longevity and mortality patterns. However, existing estimation methods focus on point estimates, overlooking the inherent variability and uncertainty in…

应用统计 · 统计学 2025-10-07 Silvio C. Patricio , Paola Vazquez-Castillo

Plant-capture is a variant of classical capture-recapture methods used to estimate the size of a population. In this method, decoys referred to as "plants" are introduced into the population in order to estimate the capture probability. The…

统计方法学 · 统计学 2025-06-25 Yiran Wang , Martin Lysy , Audrey Béliveau

We explain how effective automatic probability density function estimates can be constructed using contemporary Bayesian inference engines such as those based on no-U-turn sampling and expectation propagation. Extensive simulation studies…

机器学习 · 统计学 2021-09-28 M. P. Wand , J. C. F. Yu

Capture-recapture methods aim to estimate the size of a closed population on the basis of multiple incomplete enumerations of individuals. In many applications, the individual probability of being recorded is heterogeneous in the…

统计方法学 · 统计学 2016-06-08 James E. Johndrow , Kristian Lum , Daniel Manrique-Vallier

Quasi-Bayesian theory uses convex sets of probability distributions and expected loss to represent preferences about plans. The theory focuses on decision robustness, i.e., the extent to which plans are affected by deviations in subjective…

人工智能 · 计算机科学 2016-11-04 Fabio Gagliardi Cozman , Eric Krotkov

We present a Bayesian method for characterizing the mating system of populations reproducing through a mixture of self-fertilization and random outcrossing. Our method uses patterns of genetic variation across the genome as a basis for…

With exponential growth in the human population, it is vital to conserve natural resources without compromising on producing enough food to feed everyone. Doing so can improve people's livelihoods, health, and ecosystems for the present and…

机器学习 · 计算机科学 2022-09-16 Fiona Victoria Stanley Jothiraj

A specific implementation of Bayesian model averaging has recently been suggested as a method for the calibration of ensemble temperature forecasts. We point out the similarities between this new approach and an earlier method known as…

大气与海洋物理 · 物理学 2007-05-23 Stephen Jewson

A population protocol describes a set of state change rules for a population of $n$ indistinguishable finite-state agents (automata), undergoing random pairwise interactions. Within this very basic framework, it is possible to resolve a…

分布式、并行与集群计算 · 计算机科学 2018-04-19 Adrian Kosowski , Przemysław Uznański

This study investigates Bayesian ensemble learning for improving the quality of decision-making. We consider a decision-maker who selects an action from a set of candidates based on a policy trained using observations. In our setting, we…

统计方法学 · 统计学 2024-06-14 Masahiro Kato

We introduce a population-age-time (PAT) model which describes the temporal evolution of the population distribution in age. The surprising result is that the qualitative nature of the population distribution dynamics is robust with respect…

种群与进化 · 定量生物学 2021-11-30 Z. C. Feng , Y. Charles Li
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