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A method for the construction of approximate analytical expressions for the stationary marginal densities of general stochastic search processes is proposed. By the marginal densities, regions of the search space that with high probability…

Artificial Intelligence · Computer Science 2008-01-30 Arturo Berrones

A probabilistic discrete model for 2D protein crystal growth is presented. This model takes into account the available space and can describe growing processes of different nature due to the versatility of its parameters which gives the…

Biological Physics · Physics 2019-02-20 V. J. Bolós , R. Benítez , A. Eleta-López , J. L. Toca-Herrera

With the advent of structured data in the form of social networks, genetic circuits and protein interaction networks, statistical analysis of networks has gained popularity over recent years. Stochastic block model constitutes a classical…

Statistics Theory · Mathematics 2015-05-27 Debdeep Pati , Anirban Bhattacharya

We develop a statistical theory for the dynamics of non-aligning, non-interacting self-propelled particles confined in a convex box in two dimensions. We find that when the size of the box is small compared to the persistence length of a…

Soft Condensed Matter · Physics 2014-08-05 Yaouen Fily , Aparna Baskaran , Michael F. Hagan

Particle-based Bayesian inference methods by sampling from a partition-free target (posterior) distribution, e.g., Stein variational gradient descent (SVGD), have attracted significant attention. We propose a path-guided particle-based…

Machine Learning · Computer Science 2024-12-05 Mingzhou Fan , Ruida Zhou , Chao Tian , Xiaoning Qian

Discrete Element Method (DEM) simulations of granular media are computationally intensive, particularly during initialization phases dominated by large displacements and kinetic energy. This paper presents a novel generative pipeline based…

Machine Learning · Computer Science 2026-03-23 Muhammad Moeeze Hassan , Régis Cottereau , Filippo Gatti , Patryk Dec

In the field of freezing colloidal suspensions, it is important to understand the particle-scale behavior of particle packing. Here, we reveal the dynamics of particle packing by identifying the behavior of each single particle in situ. The…

Materials Science · Physics 2017-03-08 Jiaxue You , Jincheng Wang , Lilin Wang , Ziren Wang , Zhijun Wang , Junjie Li , Xin Lin

In this paper, we propose a stochastic search algorithm for solving general optimization problems with little structure. The algorithm iteratively finds high quality solutions by randomly sampling candidate solutions from a parameterized…

Optimization and Control · Mathematics 2013-01-08 Enlu Zhou , Jiaqiao Hu

In information theory, lossless compression of general data is based on an explicit assumption of a stochastic generative model on target data. However, in lossless image compression, the researchers have mainly focused on the coding…

Information Theory · Computer Science 2021-08-24 Yuta Nakahara , Toshiyasu Matsushima

A stochastic model is presented for a super-position of uncorrelated pulses with a random distribution of amplitudes, sizes, velocities and arrival times. The pulses are assumed to move radially with fixed shape and amplitudes decaying…

Plasma Physics · Physics 2023-05-10 J. M. Losada , A. Theodorsen , O. E. Garcia

Learning a categorical distribution comes with its own set of challenges. A successful approach taken by state-of-the-art works is to cast the problem in a continuous domain to take advantage of the impressive performance of the generative…

Machine Learning · Computer Science 2023-03-09 Florence Regol , Mark Coates

The object of this paper is a one-dimensional generalized porous media equation (PDE) with possibly discontinuous coefficient $\beta$, which is well-posed as an evolution problem in $L^1(\mathbb{R})$. In some recent papers of Blanchard et…

Probability · Mathematics 2010-11-17 Nadia Belaribi , François Cuvelier , Francesco Russo

Drum granulation is a size enlargement process where granular material is agitated with a liquid binder to form larger size granules. Discrete element modeling is increasingly being used to better understand and investigate the granulation…

Soft Condensed Matter · Physics 2025-10-07 Shubham Jain , Anurag Tripathi , Jayanta Chakraborty , Jitendra Kumar

Often experimentalists study colloidal suspensions that are nominally monodisperse. In reality these samples have a polydispersity of 4-10%. At the level of an individual particle, the consequences of this polydispersity are unknown as it…

Soft Condensed Matter · Physics 2012-11-09 Rei Kurita , Eric R. Weeks

Predicting segregation of granular materials composed of different-sized particles is a challenging problem. In this paper, we develop and implement a theoretical model that captures the interplay between advection, segregation, and…

Fluid Dynamics · Physics 2014-03-07 Yi Fan , Conor P. Schlick , Paul B. Umbanhowar , Julio M. Ottino , Richard M. Lueptow

The macroscopic mechanical properties of colloidal particle gels strongly depend on the local arrangement of the powder particles. Experiments have shown that more heterogeneous microstructures exhibit up to one order of magnitude higher…

Soft Condensed Matter · Physics 2012-05-11 Iwan Schenker , Frank T. Filser , Markus Hütter , Ludwig J. Gauckler

Seismogenic plate boundaries are presumed to behave in a similar manner to a densely packed granular medium, where fault and blocks systems rapidly rearrange the distribution of forces within themselves, as particles do in slowly sheared…

Over the past few years the displacement statistics of self-propelled particles has been intensely studied, revealing their long-time diffusive behavior. Here, we demonstrate that a concerted combination of boundary conditions and switching…

Soft Condensed Matter · Physics 2015-05-29 Andreas M. Menzel

Uniform and multi-dispersed grain packs have been frequently used to conceptually study flow in porous media. Numerical simulations were previously used to address the effect of particle shape on characteristics, such as pore space fractal…

Geophysics · Physics 2021-11-16 Elnaz Rezaei , Kamran Zeinalzadeh , Behzad Ghanbarian

This article explores the hysteretic behavior and the damping features of sheared granular media using discrete element method (DEM) simulations. We consider polydisperse non-cohesive frictional spherical particles, enclosed in a container…

Soft Condensed Matter · Physics 2025-10-07 A. Faulconnier , S. Job , J. Brocail , N. Peyret , J. -L. Dion