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相关论文: Inference in MCMC step selection models

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The Hamiltonian Monte Carlo (HMC) sampling algorithm exploits Hamiltonian dynamics to construct efficient Markov Chain Monte Carlo (MCMC), which has become increasingly popular in machine learning and statistics. Since HMC uses the gradient…

机器学习 · 计算机科学 2019-06-04 Minghao Gu , Shiliang Sun

The need to calibrate increasingly complex statistical models requires a persistent effort for further advances on available, computationally intensive Monte Carlo methods. We study here an advanced version of familiar Markov Chain Monte…

统计方法学 · 统计学 2015-03-20 Alexandros Beskos , Konstantinos Kalogeropoulos , Erik Pazos

In large-scale genomic applications vast numbers of molecular features are scanned in order to find a small number of candidates which are linked to a particular disease or phenotype. This is a variable selection problem in the "large p,…

统计计算 · 统计学 2014-02-13 Manuela Zucknick , Sylvia Richardson

1. Anthropogenic actions cause rapid ecological changes, meaning that animals have to respond before they have time to adapt. Tools to quantify emergent spatial patterns from animal-habitat interaction mechanisms are vital for predicting…

种群与进化 · 定量生物学 2015-01-06 Jonathan R. Potts , Karl Mokross , Philip C Stouffer , Mark A. Lewis

We introduce a gradient-based learning method to automatically adapt Markov chain Monte Carlo (MCMC) proposal distributions to intractable targets. We define a maximum entropy regularised objective function, referred to as generalised speed…

机器学习 · 统计学 2020-01-07 Michalis K. Titsias , Petros Dellaportas

It is common practice in Markov chain Monte Carlo to update the simulation one variable (or sub-block of variables) at a time, rather than conduct a single full-dimensional update. When it is possible to draw from each full-conditional…

统计计算 · 统计学 2013-10-03 Alicia A. Johnson , Galin L. Jones , Ronald C. Neath

Reaction networks are often used to model interacting species in fields such as biochemistry and ecology. When the counts of the species are sufficiently large, the dynamics of their concentrations are typically modeled via a system of…

数值分析 · 数学 2022-01-05 David F. Anderson , Kurt W. Ehlert

Markov chain Monte Carlo (MCMC) methods have existed for a long time and the field is well-explored. The purpose of MCMC methods is to approximate a distribution through repeated sampling; most MCMC algorithms exhibit asymptotically optimal…

统计计算 · 统计学 2023-07-13 Fareed Sheriff

The application of the Markov chain to modeling agricultural succession is well known. In most cases, the main problem is the inference of the model, i.e. the estimation of the transition matrix. In this work we present methods to estimate…

Switching dynamical systems are an expressive model class for the analysis of time-series data. As in many fields within the natural and engineering sciences, the systems under study typically evolve continuously in time, it is natural to…

机器学习 · 计算机科学 2022-05-19 Lukas Köhs , Bastian Alt , Heinz Koeppl

Bayesian inference of Gibbs random fields (GRFs) is often referred to as a doubly intractable problem, since the likelihood function is intractable. The exploration of the posterior distribution of such models is typically carried out with…

统计计算 · 统计学 2017-10-16 Aidan Boland , Nial Friel , Florian Maire

Step selection functions (SSFs) are flexible models to jointly describe animals' movement and habitat preferences. Their popularity has grown rapidly and extensions have been developed to increase their utility, including various…

定量方法 · 定量生物学 2023-08-31 Théo Michelot , Natasha J. Klappstein , Jonathan R. Potts , John Fieberg

Hidden Markov models (HMMs) have been used increasingly to understand how movement patterns of animals arise from behavioural states. An animal is assumed to transition between behavioural states through time, as described by transition…

定量方法 · 定量生物学 2025-10-07 Théo Michelot , Emma Storey

The methods of statistical physics are widely used for modelling complex networks. Building on the recently proposed Equilibrium Expectation approach, we derive a simple and efficient algorithm for maximum likelihood estimation (MLE) of…

统计计算 · 统计学 2020-02-12 Alexander Borisenko , Maksym Byshkin , Alessandro Lomi

Inference is typically intractable in high-treewidth undirected graphical models, making maximum likelihood learning a challenge. One way to overcome this is to restrict parameters to a tractable set, most typically the set of…

机器学习 · 计算机科学 2015-11-02 Justin Domke

We consider posterior sampling in the very common Bayesian hierarchical model in which observed data depends on high-dimensional latent variables that, in turn, depend on relatively few hyperparameters. When the full conditional over the…

统计计算 · 统计学 2016-10-24 Richard A. Norton , J. Andres Christen , Colin Fox

State-space models are commonly used to describe different forms of ecological data. We consider the case of count data with observation errors. For such data the system process is typically multi-dimensional consisting of coupled Markov…

统计方法学 · 统计学 2017-08-15 Axel Finke , Ruth King , Alexandros Beskos , Petros Dellaportas

Inference after model selection presents computational challenges when dealing with intractable conditional distributions. Markov chain Monte Carlo (MCMC) is a common method for sampling from these distributions, but its slow convergence…

统计方法学 · 统计学 2023-08-22 Sifan Liu

The particle Gibbs sampler is a Markov chain Monte Carlo (MCMC) algorithm to sample from the full posterior distribution of a state-space model. It does so by executing Gibbs sampling steps on an extended target distribution defined on the…

统计计算 · 统计学 2015-07-29 Nicolas Chopin , Sumeetpal S. Singh

We consider the problem of inference in discrete probabilistic models, that is, distributions over subsets of a finite ground set. These encompass a range of well-known models in machine learning, such as determinantal point processes and…

机器学习 · 计算机科学 2018-07-10 Alkis Gotovos , Hamed Hassani , Andreas Krause , Stefanie Jegelka