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We establish epigraphical and uniform laws of large numbers for sample-based approximations of law invariant risk functionals. These sample-based approximation schemes include Monte Carlo (MC) and certain randomized quasi-Monte Carlo…

Optimization and Control · Mathematics 2025-07-01 Olena Melnikov , Johannes Milz

The effect of silica nanoparticles on transient microemulsion networks made of microemulsion droplets and telechelic copolymer molecules in water is studied, as a function of droplet size and concentration, amount of copolymer, and…

Soft Condensed Matter · Physics 2010-12-07 Nicolas Puech , Serge Mora , Ty Phou , Gregoire Porte , Jacques Jestin , Julian Oberdisse

In this paper the Diffusion Monte Carlo (DMC) method is applied to the confined hydrogen atom with different confinement geometries. This approach is validated using the much studied spherical and cylindrical confinements and then applied…

Chemical Physics · Physics 2019-03-20 Gaia Micca Longo , Savino Longo , Domenico Giordano

We consider an acceptance-rejection sampler based on a deterministic driver sequence. The deterministic sequence is chosen such that the discrepancy between the empirical target distribution and the target distribution is small. We use…

Statistics Theory · Mathematics 2014-05-06 Houying Zhu , Josef Dick

Restricted Boltzmann Machines are simple and powerful generative models that can encode any complex dataset. Despite all their advantages, in practice the trainings are often unstable and it is difficult to assess their quality because the…

Machine Learning · Computer Science 2023-03-16 Nicolas Béreux , Aurélien Decelle , Cyril Furtlehner , Beatriz Seoane

Inverse rendering methods have achieved remarkable performance in reconstructing high-fidelity 3D objects with disentangled geometries, materials, and environmental light. However, they still face huge challenges in reflective surface…

Computer Vision and Pattern Recognition · Computer Science 2024-11-22 Tengjie Zhu , Zhuo Chen , Jingnan Gao , Yichao Yan , Xiaokang Yang

Machine learning is becoming widely used in analyzing the thermodynamics of many-body condensed matter systems. Restricted Boltzmann Machine (RBM) aided Monte Carlo simulations have sparked interest recently, as they manage to speed up…

Statistical Mechanics · Physics 2021-01-22 Daniel Alcalde Puente , Ilya M. Eremin

We study the Bayesian inverse problem of inferring the permeability of a porous medium within the context of a moving boundary framework motivated by Resin Transfer Molding (RTM), one of the most commonly used processes for manufacturing…

Applications · Statistics 2018-08-15 Marco Iglesias , Minho Park , M. V. Tretyakov

Membrane filtration is widely used in water treatment to remove foulants from contaminated water. Foulant build-up on the membrane occludes the area open for fluid flow, which impairs the efficiency of the filtration operation by decreasing…

Fluid Dynamics · Physics 2025-10-29 Abigail Rose Drumm , Francesca Bernardi

In this paper, we present an analytical model for the diffusive molecular communication (MC) system with a reversible adsorption receiver in a fluid environment. The widely used concentration shift keying (CSK) is considered for modulation.…

Emerging Technologies · Computer Science 2016-06-23 Yansha Deng , Adam Noel , Maged Elkashlan , Arumugam Nallanathan , Karen C. Cheung

Recursive Monte Carlo filters, also called particle filters, are a powerful tool to perform computations in general state space models. We discuss and compare the accept--reject version with the more common sampling importance resampling…

Statistics Theory · Mathematics 2007-06-13 Hans R. Künsch

Quantum annealing with the D-Wave Advantage system in the random Ising model on a cubic lattice is simulated using a three-dimensional (3D) tensor network. The Hamiltonian is driven across a quantum phase transition from a paramagnetic…

Quantum Physics · Physics 2026-03-18 Jacek Dziarmaga

We apply the Direct Simulation Monte Carlo (DSMC) method, developed originally to calculate rarefied gas dynamical problems, to study the gas flow in an accretion disc in a close binary system. The method involves viscosity and thermal…

Astrophysics · Physics 2007-05-23 Takuya Matsuda , Hiromi Mizutani , Henri M. J. Boffin

We introduce a new micro-macro Markov chain Monte Carlo method (mM-MCMC) with indirect reconstruction to sample invariant distributions of molecular dynamics systems that exhibit a time-scale separation between the microscopic (fast)…

Numerical Analysis · Mathematics 2020-03-27 Hannes Vandecasteele , Giovannni Samaey

We present the Monte Carlo with Absorbing Markov Chains (MCAMC) method for extremely long kinetic Monte Carlo simulations. The MCAMC algorithm does not modify the system dynamics. It is extremely useful for models with discrete state spaces…

Materials Science · Physics 2007-05-23 M. A. Novotny , Shannon M. Wheeler

The effect of surface roughness on the structure of liquid crystalline fluids near solid substrates is studied by Monte Carlo simulations. The liquid crystal is modelled as a fluid of soft ellipsoidal molecules and the substrate is modelled…

Soft Condensed Matter · Physics 2009-11-11 David Cheung , Friederike Schmid

Using Monte Carlo simulation, we analyse the behaviour of two-dimensional hard rods in four different types of geometric confinement: (i) a slit pore where the particles are confined between two parallel walls with homeotropic anchoring;…

Soft Condensed Matter · Physics 2018-11-13 Thomas Geigenfeind , Sebastian Rosenzweig , Matthias Schmidt , Daniel de las Heras

When a fluid that undergoes a vapor to liquid transition in the bulk is confined to a long cylindrical pore, the phase transition is shifted (mostly due to surface effects at the walls of the pore) and rounded (due to finite size effects).…

Statistical Mechanics · Physics 2015-05-19 Alexander Winkler , Dorothea Wilms , Peter Virnau , Kurt Binder

Studies of random close packing of spheres have advanced our knowledge about the structure of systems such as liquids, glasses, emulsions, granular media, and amorphous solids. When these systems are confined their structural properties…

Soft Condensed Matter · Physics 2009-12-17 Kenneth W. Desmond , Eric R. Weeks

The following electromagnetism (EM) inverse problem is addressed. It consists in estimating local radioelectric properties of materials recovering an object from global EM scattering measurements, at various incidences and wave frequencies.…

Applications · Statistics 2015-06-12 François Giraud , Pierre Minvielle , Pierre Del Moral
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