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This paper introduces a new algorithm to approximate smoothed additive functionals for partially observed stochastic differential equations. This method relies on a recent procedure which allows to compute such approximations online, i.e.…

统计方法学 · 统计学 2018-03-14 Pierre Gloaguen , Marie-Pierre Etienne , Sylvain Le Corff

This paper presents an algorithm for Monte Carlo fixed-lag smoothing in state-space models defined by a diffusion process observed through noisy discrete-time measurements. Based on a particles approximation of the filtering and smoothing…

应用统计 · 统计学 2015-06-17 Anne Cuzol , Etienne Mémin

Computer simulations have become an important tool across the biomedical sciences and beyond. For many important problems several different models or hypotheses exist and choosing which one best describes reality or observed data is not…

定量方法 · 定量生物学 2010-01-20 Tina Toni , Michael P. H. Stumpf

Metropolis Monte Carlo simulation is a powerful tool for studying the equilibrium properties of matter. In complex condensed-phase systems, however, it is difficult to design Monte Carlo moves with high acceptance probabilities that also…

统计力学 · 物理学 2014-05-27 Jerome P. Nilmeier , Gavin E. Crooks , David D. L. Minh , John D. Chodera

Bayesian inference allows us to define a posterior distribution over the weights of a generic neural network (NN). Exact posteriors are usually intractable, in which case approximations can be employed. One such approximation - variational…

机器学习 · 计算机科学 2026-01-30 Andrew Millard , Joshua Murphy , Peter Green , Simon Maskell

We introduce methodology for real-time inference in general-state-space hidden Markov models. Specifically, we extend recent advances in controlled sequential Monte Carlo (CSMC) methods-originally proposed for offline smoothing-to the…

统计计算 · 统计学 2025-08-04 Liwen Xue , Axel Finke , Adam M. Johansen

Model comparison for the purposes of selection, averaging and validation is a problem found throughout statistics. Within the Bayesian paradigm, these problems all require the calculation of the posterior probabilities of models within a…

统计方法学 · 统计学 2015-06-08 Yan Zhou , Adam M Johansen , John A D Aston

We address the problem of approximating the posterior probability distribution of the fixed parameters of a state-space dynamical system using a sequential Monte Carlo method. The proposed approach relies on a nested structure that employs…

统计计算 · 统计学 2017-05-12 Dan Crisan , Joaquin Miguez

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…

应用统计 · 统计学 2015-09-29 Melissa J. M. Turcotte , Nicholas A. Heard

This paper presents a methodology for creating streaming, distributed inference algorithms for Bayesian nonparametric (BNP) models. In the proposed framework, processing nodes receive a sequence of data minibatches, compute a variational…

机器学习 · 计算机科学 2015-11-02 Trevor Campbell , Julian Straub , John W. Fisher , Jonathan P. How

Sequential Monte Carlo samplers represent a compelling approach to posterior inference in Bayesian models, due to being parallelisable and providing an unbiased estimate of the posterior normalising constant. In this work, we significantly…

统计方法学 · 统计学 2022-11-24 Samuel Duffield , Sumeetpal S. Singh

System identification of complex and nonlinear systems is a central problem for model predictive control and model-based reinforcement learning. Despite their complexity, such systems can often be approximated well by a set of linear…

机器学习 · 统计学 2019-05-30 Philip Becker-Ehmck , Jan Peters , Patrick van der Smagt

In the last years, automatic classification of variable stars has received substantial attention. Using machine learning techniques for this task has proven to be quite useful. Typically, machine learning classifiers used for this task…

天体物理仪器与方法 · 物理学 2020-01-08 Lukas Zorich , Karim Pichara , Pavlos Protopapas

When underlying probability density functions of nonlinear dynamic systems are unknown, the filtering problem is known to be a challenging problem. This paper attempts to make progress on this problem by proposing a new class of filtering…

统计理论 · 数学 2016-06-17 Zhiguo Wang , Xiaojing Shen , Yunmin Zhu , Jianxin Pan

In Online Continual Learning (OCL) a learning system receives a stream of data and sequentially performs prediction and training steps. Important challenges in OCL are concerned with automatic adaptation to the particular non-stationary…

State-space models are a popular statistical framework for analysing sequential data. Within this framework, particle filters are often used to perform inference on non-linear state-space models. We introduce a new method, StateMixNN, that…

机器学习 · 计算机科学 2025-03-28 Benjamin Cox , Santiago Segarra , Victor Elvira

Differentiable particle filters are an emerging class of sequential Bayesian inference techniques that use neural networks to construct components in state space models. Existing approaches are mostly based on offline supervised training…

机器学习 · 计算机科学 2023-12-19 Jiaxi Li , Xiongjie Chen , Yunpeng Li

Monte Carlo methods have become increasingly relevant for control of non-differentiable systems, approximate dynamics models and learning from data. These methods scale to high-dimensional spaces and are effective at the non-convex…

机器学习 · 计算机科学 2022-10-10 Joe Watson , Jan Peters

On-line estimation plays an important role in process control and monitoring. Obtaining a theoretical solution to the simultaneous state-parameter estimation problem for non-linear stochastic systems involves solving complex…

统计计算 · 统计学 2013-07-15 Aditya Tulsyan , Biao Huang , R. Bhushan Gopaluni , J. Fraser Forbes

The state space representation of active resident space objects can be posed in the form of a stochastic hybrid system. Satellite maneuvers may be accounted for according to control cost or heuristical considerations, yet it is possible to…

信号处理 · 电气工程与系统科学 2022-04-06 Guillermo Escribano , Manuel Sanjurjo-Rivo , Jan Siminski , Alejandro Pastor , Diego Escobar