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A recently proposed model observer mimics the foveated nature of the human visual system by processing the entire image with varying spatial detail, executing eye movements and scrolling through slices. The model can predict how human…

信号处理 · 电气工程与系统科学 2021-02-11 Miguel A. Lago , Craig K. Abbey , Miguel P. Eckstein

We introduce an approach based on mirror descent and sequential Monte Carlo (SMC) to perform joint parameter inference and posterior estimation in latent variable models. This approach is based on minimisation of a functional over the…

统计计算 · 统计学 2025-11-07 Francesca R. Crucinio

In this article we consider a Monte Carlo-based method to filter partially observed diffusions observed at regular and discrete times. Given access only to Euler discretizations of the diffusion process, we present a new procedure which can…

数值分析 · 数学 2020-02-12 Ajay Jasra , Kody Law , Fangyuan Yu

Nonlinear non-Gaussian state-space models arise in numerous applications in statistics and signal processing. In this context, one of the most successful and popular approximation techniques is the Sequential Monte Carlo (SMC) algorithm,…

统计计算 · 统计学 2016-04-20 Francois Septier , Gareth W. Peters

Sequential Monte Carlo (SMC) methods, also known as particle filters, are simulation-based recursive algorithms for the approximation of the a posteriori probability measures generated by state-space dynamical models. At any given time $t$,…

统计计算 · 统计学 2016-11-24 Dan Crisan , Joaquín Míguez

Particle filters are broadly used to approximate posterior distributions of hidden states in state-space models by means of sets of weighted particles. While the convergence of the filter is guaranteed when the number of particles tends to…

统计计算 · 统计学 2017-11-01 Víctor Elvira , Joaquín Míguez , Petar M. Djurić

Classifiers based on neural networks (NN) often lack a measure of uncertainty in the predicted class. We propose a method to estimate the probability mass function (PMF) of the different classes, as well as the covariance of the estimated…

机器学习 · 计算机科学 2024-10-28 Magnus Malmström , Isaac Skog , Daniel Axehill , Fredrik Gustafsson

Human action recognition is one of the challenging tasks in computer vision. The current action recognition methods use computationally expensive models for learning spatio-temporal dependencies of the action. Models utilizing RGB channels…

计算机视觉与模式识别 · 计算机科学 2022-06-07 Labina Shrestha , Shikha Dubey , Farrukh Olimov , Muhammad Aasim Rafique , Moongu Jeon

Accurately measuring magnetic field strength in the interstellar medium, including giant molecular clouds (GMCs), remains a significant challenge. We present a machine learning approach using Denoising Diffusion Probabilistic Models (DDPMs)…

星系天体物理 · 物理学 2025-01-09 Duo Xu , Jenna Karcheski , Chi-Yan Law , Ye Zhu , Chia-Jung Hsu , Jonathan C. Tan

This article addresses the problem of efficient Bayesian inference in dynamic systems using particle methods and makes a number of contributions. First, we develop a correlated pseudo-marginal (CPM) approach for Bayesian inference in state…

统计方法学 · 统计学 2016-12-22 P. Choppala , D. Gunawan , J. Chen , M. -N. Tran , R. Kohn

Probabilistic modeling provides the capability to represent and manipulate uncertainty in data, models, predictions and decisions. We are concerned with the problem of learning probabilistic models of dynamical systems from measured data.…

统计计算 · 统计学 2018-03-14 Thomas B. Schön , Andreas Svensson , Lawrence Murray , Fredrik Lindsten

In this article we consider static Bayesian parameter estimation for partially observed diffusions that are discretely observed. We work under the assumption that one must resort to discretizing the underlying diffusion process, for…

统计计算 · 统计学 2017-01-23 Ajay Jasra , Kengo Kamatani , Kody J. H. Law , Yan Zhou

We study a new parametric approach for hidden discrete-time diffusion models. This method is based on contrast minimization and deconvolution and leads to estimate a large class of stochastic models with nonlinear drift and nonlinear…

统计理论 · 数学 2017-01-01 Salima El Kolei , Florian Pelgrin

Parameter estimation in multidimensional diffusion models with only one coordinate observed is highly relevant in many biological applications, but a statistically difficult problem. In neuroscience, the membrane potential evolution in…

统计方法学 · 统计学 2014-08-01 Susanne Ditlevsen , Adeline Samson

The Two Alternative Forced Choice (2AFC) paradigm offers advantages over the Mean Opinion Score (MOS) paradigm in psychophysics (PF), such as simplicity and robustness. However, when evaluating perceptual distance models, MOS enables direct…

计算机视觉与模式识别 · 计算机科学 2025-10-07 Alexander Hepburn , Raul Santos-Rodriguez , Javier Portilla

Particle Markov Chain Monte Carlo methods are used to carry out inference in non-linear and non-Gaussian state space models, where the posterior density of the states is approximated using particles. Current approaches usually perform…

统计计算 · 统计学 2019-09-30 Eduardo F. Mendes , Christopher K. Carter , David Gunawan , Robert Kohn

Piecewise deterministic Markov processes (PDMPs) are a type of continuous-time Markov process that combine deterministic flows with jumps. Recently, PDMPs have garnered attention within the Monte Carlo community as a potential alternative…

统计方法学 · 统计学 2024-10-23 Joris Bierkens , Kengo Kamatani , Gareth O. Roberts

The ideal observer (IO) sets an upper performance limit among all observers and has been advocated for assessing and optimizing imaging systems. For general joint detection and estimation (detection-estimation) tasks, estimation ROC (EROC)…

信号处理 · 电气工程与系统科学 2021-12-03 Kaiyan Li , Weimin Zhou , Hua Li , Mark A. Anastasio

This paper proposes a robust nonlinear observer synthesis method for a population of systems modelled using the Koopman operator. The Koopman operator allows nonlinear systems to be rewritten as infinite-dimensional linear systems. A…

系统与控制 · 电气工程与系统科学 2024-10-03 Steven Dahdah , James Richard Forbes

Particle Markov chain Monte Carlo (pMCMC) is now a popular method for performing Bayesian statistical inference on challenging state space models (SSMs) with unknown static parameters. It uses a particle filter (PF) at each iteration of an…

统计计算 · 统计学 2019-08-19 Christopher Drovandi , Richard G Everitt , Andrew Golightly , Dennis Prangle