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Fitting stochastic kinetic models represented by Markov jump processes within the Bayesian paradigm is complicated by the intractability of the observed data likelihood. There has therefore been considerable attention given to the design of…

Computation · Statistics 2017-08-04 Andrew Golightly , Theodore Kypraios

Particle smoothers are SMC (Sequential Monte Carlo) algorithms designed to approximate the joint distribution of the states given observations from a state-space model. We propose dSMC (de-Sequentialized Monte Carlo), a new particle…

Computation · Statistics 2022-02-07 Adrien Corenflos , Nicolas Chopin , Simo Särkkä

We introduce a powerful and flexible MCMC algorithm for stochastic simulation. The method builds on a pseudo-marginal method originally introduced in [Genetics 164 (2003) 1139--1160], showing how algorithms which are approximations to an…

Statistics Theory · Mathematics 2009-04-01 Christophe Andrieu , Gareth O. Roberts

Resilience is emerging as a key requirement for next-generation wireless communication systems, requiring the ability to assess and control rare, path-dependent failure events arising from sequential degradation and delayed recovery. In…

Systems and Control · Electrical Eng. & Systems 2026-04-02 Onel Luis Alcaraz López

Hamiltonian Monte Carlo (HMC) is a powerful Markov chain Monte Carlo (MCMC) algorithm for estimating expectations with respect to continuous un-normalized probability distributions. MCMC estimators typically have higher variance than…

Computation · Statistics 2020-03-04 Dan Piponi , Matthew D. Hoffman , Pavel Sountsov

In this article we focus on dynamic network data which describe interactions among a fixed population through time. We model this data using the latent space framework, in which the probability of a connection forming is expressed as a…

Methodology · Statistics 2021-12-21 Kathryn Turnbull , Christopher Nemeth , Matthew Nunes , Tyler McCormick

Variational inference lies at the core of many state-of-the-art algorithms. To improve the approximation of the posterior beyond parametric families, it was proposed to include MCMC steps into the variational lower bound. In this work we…

Machine Learning · Statistics 2016-09-28 Christopher Wolf , Maximilian Karl , Patrick van der Smagt

We derive and study SQMC (Sequential Quasi-Monte Carlo), a class of algorithms obtained by introducing QMC point sets in particle filtering. SQMC is related to, and may be seen as an extension of, the array-RQMC algorithm of L'Ecuyer et al.…

Computation · Statistics 2014-12-01 Mathieu Gerber , Nicolas Chopin

Constraints can be interpreted in a broad sense as any kind of explicit restriction over the parameters. While some constraints are defined directly on the parameter space, when they are instead defined by known behaviour on the model,…

Methodology · Statistics 2015-02-27 Shirin Golchi , David A. Campbell

An efficient simulation-based methodology is proposed for the rolling window estimation of state space models, called particle rolling Markov chain Monte Carlo (MCMC) with double block sampling. In our method, which is based on Sequential…

Computation · Statistics 2021-09-17 Naoki Awaya , Yasuhiro Omori

Hybrid Monte Carlo (HMC) generates samples from a prescribed probability distribution in a configuration space by simulating Hamiltonian dynamics, followed by the Metropolis (-Hastings) acceptance/rejection step. Compressible HMC (CHMC)…

Computational Physics · Physics 2016-04-05 Akihiko Nishimura , David Dunson

We investigate Monte Carlo based algorithms for solving stochastic control problems with probabilistic constraints. Our motivation comes from microgrid management, where the controller tries to optimally dispatch a diesel generator while…

Optimization and Control · Mathematics 2024-02-06 Alessandro Balata , Michael Ludkovski , Aditya Maheshwari , Jan Palczewski

Robots will increasingly operate near humans that introduce uncertainties in the motion planning problem due to their complex nature. Typically, chance constraints are introduced in the planner to optimize performance while guaranteeing…

Robotics · Computer Science 2023-07-04 Oscar de Groot , Laura Ferranti , Dariu Gavrila , Javier Alonso-Mora

Bayesian filtering aims at tracking sequentially a hidden process from an observed one. In particular, sequential Monte Carlo (SMC) techniques propagate in time weighted trajectories which represent the posterior probability density…

Computation · Statistics 2012-10-22 Yohan Petetin , François Desbouvries

We explore a general framework in Markov chain Monte Carlo (MCMC) sampling where sequential proposals are tried as a candidate for the next state of the Markov chain. This sequential-proposal framework can be applied to various existing…

Computation · Statistics 2019-08-21 Joonha Park , Yves F. Atchadé

Sequential Monte Carlo (SMC), also known as particle filters, has been widely accepted as a powerful computational tool for making inference with dynamical systems. A key step in SMC is resampling, which plays the role of steering the…

Methodology · Statistics 2020-12-08 Yichao Li , Wenshuo Wang , Ke Deng , Jun S Liu

Probabilistic inference algorithms such as Sequential Monte Carlo (SMC) provide powerful tools for constraining procedural models in computer graphics, but they require many samples to produce desirable results. In this paper, we show how…

Graphics · Computer Science 2016-10-17 Daniel Ritchie , Anna Thomas , Pat Hanrahan , Noah D. Goodman

This article presents a novel approach, named MCMP (Monte Carlo Motion Planning), to the problem of motion planning under uncertainty, i.e., to the problem of computing a low-cost path that fulfills probabilistic collision avoidance…

Robotics · Computer Science 2015-06-01 Lucas Janson , Edward Schmerling , Marco Pavone

Probabilistic (or Bayesian) modeling and learning offers interesting possibilities for systematic representation of uncertainty using probability theory. However, probabilistic learning often leads to computationally challenging problems.…

Computation · Statistics 2018-03-14 Andreas Svensson , Thomas B. Schön , Fredrik Lindsten

Process monitoring and control requires detection of structural changes in a data stream in real time. This article introduces an efficient sequential Monte Carlo algorithm designed for learning unknown changepoints in continuous time. The…

Applications · Statistics 2015-09-29 Melissa J. M. Turcotte , Nicholas A. Heard
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