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相关论文: Approximate Bayesian Computation for Physical Inve…

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Bayesian inference for Markov processes has become increasingly relevant in recent years. Problems of this type often have intractable likelihoods and prior knowledge about model rate parameters is often poor. Markov Chain Monte Carlo…

统计计算 · 统计学 2014-10-23 Jamie Owen , Darren J. Wilkinson , Colin S. Gillespie

Approximate Bayesian computation (ABC) is a set of techniques for Bayesian inference when the likelihood is intractable but sampling from the model is possible. This work presents a simple yet effective ABC algorithm based on the…

统计计算 · 统计学 2019-03-01 Yanzhi Chen , Michael U. Gutmann

Achieving ultimate bounds in estimation processes is the main objective of quantum metrology. In this context, several problems require measurement of multiple parameters by employing only a limited amount of resources. To this end,…

Electron ptychography provides new opportunities to resolve atomic structures with deep sub-angstrom spatial resolution and studying electron-beam sensitive materials with high dose efficiency. In practice, obtaining accurate ptychography…

材料科学 · 物理学 2022-04-26 Michael C. Cao , Zhen Chen , Yi Jiang , Yimo Han

Dynamic factor models are often estimated by point-estimation methods, disregarding parameter uncertainty. We propose a method accounting for parameter uncertainty by means of posterior approximation, using variational inference. Our…

统计方法学 · 统计学 2022-10-14 Erik Spånberg

Dynamic PET kinetic modeling increasingly demands voxelwise uncertainty quantification and robust model selection. Yet total-body PET (TB-PET) data volumes make conventional Bayesian approaches, such as per-voxel MCMC, computationally…

应用统计 · 统计学 2026-03-17 Qinlin Gu , Gaelle M. Emvalomenos , Evan D. Morris , Clara Grazian , Steven R. Meikle

Tracer-kinetic analysis of dynamic contrast-enhanced magnetic resonance imaging data is commonly performed with the well-known Tofts model and nonlinear least squares (NLLS) regression. This approach yields point estimates of model…

医学物理 · 物理学 2020-01-08 Andreas Mittermeier , Birgit Ertl-Wagner , Jens Ricke , Olaf Dietrich , Michael Ingrisch

Bayesian observer and actor models have provided normative explanations for many behavioral phenomena in perception, sensorimotor control, and other areas of cognitive science and neuroscience. They attribute behavioral variability and…

机器学习 · 计算机科学 2025-02-03 Dominik Straub , Tobias F. Niehues , Jan Peters , Constantin A. Rothkopf

Probabilistic estimation of cardiac electrophysiological model parameters serves an important step towards model personalization and uncertain quantification. The expensive computation associated with these model simulations, however, makes…

Compute and memory constraints have historically prevented traffic simulation software users from fully utilizing the predictive models underlying them. When calibrating car-following models, particularly, accommodations have included 1)…

机器学习 · 统计学 2019-08-08 Franklin Abodo , Andrew Berthaume , Stephen Zitzow-Childs , Leonardo Bobadilla

We propose a novel use of a recent new computational tool for Bayesian inference, namely the Approximate Bayesian Computation (ABC) methodology. ABC is a way to handle models for which the likelihood function may be intractable or even…

统计计算 · 统计学 2014-03-04 Clara Grazian , Brunero Liseo

We consider in this paper the formulation of approximate inference in Bayesian networks as a problem of exact inference on an approximate network that results from deleting edges (to reduce treewidth). We have shown in earlier work that…

人工智能 · 计算机科学 2012-07-02 Arthur Choi , Adnan Darwiche

Much research in recent years has focused on using empirical machine learning approaches to extract useful insights on the structure-property relationships of superconductor material. Notably, these approaches are bringing extreme benefits…

数据分析、统计与概率 · 物理学 2020-02-13 Thanh Dung Le , Rita Noumeir , Huu Luong Quach , Ji Hyung Kim , Jung Ho Kim , Ho Min Kim

The inverse temperature parameter of the Potts model governs the strength of spatial cohesion and therefore has a major influence over the resulting model fit. A difficulty arises from the dependence of an intractable normalising constant…

统计计算 · 统计学 2018-08-20 Matthew T. Moores , Geoff K. Nicholls , Anthony N. Pettitt , Kerrie Mengersen

We develop a computational framework to quantify uncertainty in shear elastography imaging of anomalies in tissues. We adopt a Bayesian inference formulation. Given the observed data, a forward model and their uncertainties, we find the…

数值分析 · 数学 2023-06-07 Ana Carpio , Elena Cebrian , Andrea Gutierrez

Tuning parameters in model predictive control (MPC) presents significant challenges, particularly when there is a notable discrepancy between the controller's predictions and the actual behavior of the closed-loop plant. This mismatch may…

系统与控制 · 电气工程与系统科学 2024-10-11 Sebastian Hirt , Andreas Höhl , Joachim Schaeffer , Johannes Pohlodek , Richard D. Braatz , Rolf Findeisen

Quality control in industrial processes is increasingly making use of prior scientific knowledge, often encoded in physical models that require numerical approximation. Statistical prediction, and subsequent optimization, is key to ensuring…

其他统计学 · 统计学 2018-10-23 Antony Overstall , David Woods , Kieran Martin

Physico-chemical continuum battery models are typically parameterized by manual fits, relying on the individual expertise of researchers. In this article, we introduce a computer algorithm that directly utilizes the experience of battery…

数据分析、统计与概率 · 物理学 2023-02-08 Yannick Kuhn , Hannes Wolf , Arnulf Latz , Birger Horstmann

Bayesian procedures designed to quantify truncation errors in perturbative calculations of quantum chromodynamics observables are adapted to expansions in effective field theory (EFT). In the Bayesian approach, such truncation errors are…

核理论 · 物理学 2016-05-12 R. J. Furnstahl , N. Klco , D. R. Phillips , S. Wesolowski

Variational inference in probabilistic graphical models aims to approximate fundamental quantities such as marginal distributions and the partition function. Popular approaches are the Bethe approximation, tree-reweighted, and other types…

机器学习 · 统计学 2025-02-06 Harald Leisenberger , Franz Pernkopf