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Background: Monte Carlo simulations of diffusion are commonly used as a model validation tool as they are especially suitable for generating the diffusion MRI signal in complicated tissue microgeometries. New method: Here we describe the…

Medical Physics · Physics 2021-04-13 Hong-Hsi Lee , Els Fieremans , Dmitry S Novikov

Diffusion models are now the undisputed state-of-the-art for image generation and image restoration. However, they require large amounts of computational power for training and inference. In this paper, we propose lightweight diffusion…

Computer Vision and Pattern Recognition · Computer Science 2024-06-07 Nicolas Cherel , Andrés Almansa , Yann Gousseau , Alasdair Newson

An innovative inverse scattering (IS) method is proposed for the quantitative imaging of pixel-sparse scatterers buried within a lossy half-space. On the one hand, such an approach leverages on the wide-band nature of ground penetrating…

Information Theory · Computer Science 2021-08-04 Marco Salucci , Nicola Anselmi

Despite diffusion models' superior capabilities in modeling complex distributions, there are still non-trivial distributional discrepancies between generated and ground-truth images, which has resulted in several notable problems in image…

Computer Vision and Pattern Recognition · Computer Science 2024-10-08 Yujian Liu , Yang Zhang , Tommi Jaakkola , Shiyu Chang

In this paper we consider parameter estimation for discretely observed diffusion processes. In particular, we focus on data that are observed at low frequency and methodology that can estimate parameters with uncertainty quantification.…

Computation · Statistics 2026-05-01 Jingning Yao , Ajay Jasra , Sheng Jiang

Bayesian inference for nonlinear diffusions, observed at discrete times, is a challenging task that has prompted the development of a number of algorithms, mainly within the computational statistics community. We propose a new direction,…

Computation · Statistics 2022-01-11 Matthew M. Graham , Alexandre H. Thiery , Alexandros Beskos

In this work, we present an extensive computational study on the Ziff-Gulari-Barshad (ZGB) model extended in order to include the spatial diffusion of oxygen atoms and carbon monoxide molecules, both adsorbed on the surface. In our…

Statistical Mechanics · Physics 2018-08-01 Roberto da Silva , Henrique Almeida Fernandes

We present a method for differentiable rendering of 3D surfaces that supports both explicit and implicit representations, provides derivatives at occlusion boundaries, and is fast and simple to implement. The method first samples the…

Graphics · Computer Science 2021-08-12 Forrester Cole , Kyle Genova , Avneesh Sud , Daniel Vlasic , Zhoutong Zhang

We propose a Bayesian inference framework to estimate uncertainties in inverse scattering problems. Given the observed data, the forward model and their uncertainties, we find the posterior distribution over a finite parameter field…

Numerical Analysis · Mathematics 2020-11-17 Ana Carpio , Sergei Iakunin , Georg Stadler

In this work we present a novel 3D Monte Carlo photon transport program for simulation of multiple refractive scattering based on the refractive properties of X-rays in highly scattering media, like lung tissue. Multiple scattering reduces…

Medical Physics · Physics 2010-02-03 A. N. Khromova , L. Rigon , F. Arfelli , R. H. Menk , H. J. Besch , H. Plothow-Besch

Single-file diffusion is a theoretically challenging many-body problem where the calculation of even the simplest observables, e.g. mean square displacement, for a tracer particle requires a heavy mathematical machinery. There is therefore…

Statistical Mechanics · Physics 2015-06-15 Ludvig Lizana , Michael A. Lomholt , Tobias Ambjörnsson

This work proposes a novel method based on a pseudo-parabolic diffusion process to be employed for texture recognition. The proposed operator is applied over a range of time scales giving rise to a family of images transformed by nonlinear…

Computer Vision and Pattern Recognition · Computer Science 2021-01-26 Jardel Vieira , Eduardo Abreu , Joao B. Florindo

We introduce a novel framework for upsampled Point Spread Function (PSF) modeling using pixel-level Bayesian inference. Accurate PSF characterization is critical for precision measurements in many fields including: weak lensing, astrometry,…

Instrumentation and Methods for Astrophysics · Physics 2025-11-26 Connor Stone , Ronan Legin , Alexandre Adam , Nikolay Malkin , Gabriel Missael Barco , Laurence Perreaul-Levasseur , Yashar Hezaveh

An appealing requirement from the well-known diffraction tomography (DT) exists for success reconstruction from few-view and limited-angle data. Inspired by the well-known compressive sensing (CS), the accurate super-resolution…

Computational Engineering, Finance, and Science · Computer Science 2009-04-20 Lianlin Li , Wenji Zhang , Fang Li

We performed extensive Monte Carlo simulations of the irreversible adsorption of polydispersed disks inside the cells of a patterned substrate. The model captures relevant features of the irreversible adsorption of spherical colloidal…

Statistical Mechanics · Physics 2012-12-04 J. F. Marques , A. B. Lima , N. A. M. Araujo , A. Cadilhe

Interferometric scattering (iSCAT) microscopy is an emerging label-free technique optimized for the sensitive detection of nano-matter. Previous iSCAT studies have approximated the point spread function in iSCAT by a Gaussian intensity…

Diffuse scattering is a rich source of information about disorder in crystalline materials, which can be modelled using atomistic techniques such as Monte Carlo and molecular dynamics simulations. Modern X-ray and neutron scattering…

Materials Science · Physics 2018-12-21 Joseph A. M. Paddison

Recent advances in powerful pre-trained diffusion models encourage the development of methods to improve the sampling performance under well-trained diffusion models. This paper introduces Diffusion Rejection Sampling (DiffRS), which uses a…

Machine Learning · Computer Science 2024-05-29 Byeonghu Na , Yeongmin Kim , Minsang Park , Donghyeok Shin , Wanmo Kang , Il-Chul Moon

We present a method to capture both 3D shape and spatially varying reflectance with a multi-view photometric stereo (MVPS) technique that works for general isotropic materials. Our algorithm is suitable for perspective cameras and nearby…

Computer Vision and Pattern Recognition · Computer Science 2020-01-22 Min Li , Zhenglong Zhou , Zhe Wu , Boxin Shi , Changyu Diao , Ping Tan

Current strategies for solving image-based inverse problems apply latent diffusion models to perform posterior sampling.However, almost all approaches make no explicit attempt to explore the solution space, instead drawing only a single…

Computer Vision and Pattern Recognition · Computer Science 2024-08-27 Amir Nazemi , Mohammad Hadi Sepanj , Nicholas Pellegrino , Chris Czarnecki , Paul Fieguth
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