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Monte Carlo (MC) methods are widely used for Bayesian inference and optimization in statistics, signal processing and machine learning. A well-known class of MC methods are Markov Chain Monte Carlo (MCMC) algorithms. In order to foster…

Computation · Statistics 2016-09-27 L. Martino , V. Elvira , D. Luengo , J. Corander , F. Louzada

We propose a new framework for how to use sequential Monte Carlo (SMC) algorithms for inference in probabilistic graphical models (PGM). Via a sequential decomposition of the PGM we find a sequence of auxiliary distributions defined on a…

Methodology · Statistics 2014-10-07 Christian A. Naesseth , Fredrik Lindsten , Thomas B. Schön

Recently, 3D Gaussian Splatting (3DGS) provides a new framework for novel view synthesis, and has spiked a new wave of research in neural rendering and related applications. As 3DGS is becoming a foundational component of many models, any…

Computer Vision and Pattern Recognition · Computer Science 2025-04-14 Jialin Zhu , Jiangbei Yue , Feixiang He , He Wang

In groundwater contaminant remediation and risk assessment, it is important to identify parameters of the contaminant source and hydraulic conductivity field by solving an inverse problem. However, if the dimensionality of the inverse…

Optimization and Control · Mathematics 2015-06-17 Jiangjiang Zhang

Monte Carlo simulations of diffusion processes often introduce bias in the final result, due to time discretization. Using an auxiliary Poisson process, it is possible to run simulations which are unbiased. In this article, we propose such…

Computational Finance · Quantitative Finance 2016-05-09 Louis Paulot

DDSCAT.6.0 is a freely available software package (http://www.astro.princeton.edu/~draine/DDSCAT.6.0.html) which applies the "discrete dipole approximation" (DDA) to calculate scattering and absorption of electromagnetic waves by targets…

Astrophysics · Physics 2007-05-23 B. T. Draine , P. J. Flatau

A sampling method by using scattering amplitude is proposed for shape and location reconstruction in inverse acoustic scattering problems. Only matrix multiplication is involved in the computation, thus the novel sampling method is very…

Numerical Analysis · Mathematics 2017-09-13 Xiaodong Liu

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

A computer program for small angle X-ray scattering (SAXS) data processing and analysis named S.exe written in Intel Visual Fortran has been developed. This paper briefly introduces its main theory and function.

Data Analysis, Statistics and Probability · Physics 2015-06-16 Zhi-hong Li

Gaussian Splatting (GS) has recently emerged as a promising technique for 3D object reconstruction, delivering high-quality rendering results with significantly improved reconstruction speed. As variants continue to appear, assessing the…

Computer Vision and Pattern Recognition · Computer Science 2026-03-10 Tianang Chen , Jian Jin , Shilv Cai , Zhuangzi Li , Weisi Lin

This paper explores the application of methods from information geometry to the sequential Monte Carlo (SMC) sampler. In particular the Riemannian manifold Metropolis-adjusted Langevin algorithm (mMALA) is adapted for the transition kernels…

Methodology · Statistics 2012-12-05 Aaron Sim , Sarah Filippi , Michael P. H. Stumpf

Sequential Monte Carlo (SMC) methods are not only a popular tool in the analysis of state space models, but offer an alternative to MCMC in situations where Bayesian inference must proceed via simulation. This paper introduces a new SMC…

Computation · Statistics 2010-05-11 Paul Fearnhead , Benjamin M. Taylor

With the increasingly availability of digital microscopy imagery equipments there is a demand for efficient execution of whole slide tissue image applications. Through the process of sensitivity analysis it is possible to improve the output…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-11-29 Willian de Oliveira Barreiros Junior , George Teodoro

By formulating the inverse problem of partial differential equations (PDEs) as a statistical inference problem, the Bayesian approach provides a general framework for quantifying uncertainties. In the inverse problem of PDEs, parameters are…

Numerical Analysis · Mathematics 2026-02-10 Haoyu Lu , Junxiong Jia , Deyu Meng

Physics simulation is paramount for modeling and utilizing 3D scenes in various real-world applications. However, integrating with state-of-the-art 3D scene rendering techniques such as Gaussian Splatting (GS) remains challenging. Existing…

Computer Vision and Pattern Recognition · Computer Science 2025-11-03 Piotr Borycki , Weronika Smolak , Joanna Waczyńska , Marcin Mazur , Sławomir Tadeja , Przemysław Spurek

We present MBIS (Multivariate Bayesian Image Segmentation tool), a clustering tool based on the mixture of multivariate normal distributions model. MBIS supports multi-channel bias field correction based on a B-spline model. A second…

Computer Vision and Pattern Recognition · Computer Science 2015-11-19 Oscar Esteban , Gert Wollny , Subrahmanyam Gorthi , Maria-J. Ledesma-Carbayo , Jean-Philippe Thiran , Andres Santos , Meritxell Bach-Cuadra

Monte Carlo methods are essential tools for Bayesian inference. Gibbs sampling is a well-known Markov chain Monte Carlo (MCMC) algorithm, extensively used in signal processing, machine learning, and statistics, employed to draw samples from…

Computation · Statistics 2017-12-21 Luca Martino , Victor Elvira , Gustau Camps-Valls

To conduct Bayesian inference with large data sets, it is often convenient or necessary to distribute the data across multiple machines. We consider a likelihood function expressed as a product of terms, each associated with a subset of the…

Computation · Statistics 2020-04-09 Lewis J. Rendell , Adam M. Johansen , Anthony Lee , Nick Whiteley

In this proceedings we present MadFlow, a new framework for the automation of Monte Carlo (MC) simulation on graphics processing units (GPU) for particle physics processes. In order to automate MC simulation for a generic number of…

Computational Physics · Physics 2021-09-08 Stefano Carrazza , Juan Cruz-Martinez , Marco Rossi , Marco Zaro

Scattered coincidences introduce quantitative bias in positron emission tomography (PET) and must be compensated during reconstruction. Conventional scatter estimates typically rely on simplified cylindrical scanner models that omit…