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The performance of basis sets made of numerical atomic orbitals is explored in density-functional calculations of solids and molecules. With the aim of optimizing basis quality while maintaining strict localization of the orbitals, as…

Materials Science · Physics 2009-11-07 Javier Junquera , Oscar Paz , Daniel Sanchez-Portal , Emilio Artacho

Umbrella sampling efficiently yields equilibrium averages that depend on exploring rare states of a model by biasing simulations to windows of coordinate values and then combining the resulting data with physical weighting. Here, we…

Statistical Mechanics · Physics 2016-09-21 Erik Thiede , Brian Van Koten , Jonathan Weare , Aaron R. Dinner

$\textit{Background}$: Nuclear fusion has been shown to be a perfect probe to study the different nuclear shapes. However, the possibility of testing octupole deformation of a nucleus with this tool has not been fully explored yet. The…

Nuclear Theory · Physics 2015-11-06 Raj Kumar , J. A. Lay , A. Vitturi

We propose a new method based on variational principle for analysis of photonic crystal (PC) slabs. Most of the methods used today treat PC slab as a three-dimensional (3D) crystal and this makes them very time and/or memory consuming. In…

Mesoscale and Nanoscale Physics · Physics 2015-05-04 Mohammad Hasan Aram , Sina Khorasani

We present a simulation technique to evaluate the most important quantity for nucleation processes: the nucleation barrier, i.e. the free energy of formation of the critical cluster. The method is based on stabilizing a small cluster by…

Statistical Mechanics · Physics 2026-03-13 Adrian Llamas-Jaramillo , Ivan Latella , David Reguera

We review and compare different computational variational methods applied to a system of fourth order equations that arises as a model of cylinder buckling. We describe both the discretization and implementation, in particular how to deal…

Analysis of PDEs · Mathematics 2007-05-23 Jiri Horak , Gabriel J. Lord , Mark A. Peletier

The morphology of nanostructured materials exhibiting a polydisperse porous space, such as aerogels, is very open porous and fine grained. Therefore, a simulation of the deformation of a large aerogel structure resolving the nanostructure…

Numerical Analysis · Mathematics 2024-03-04 Axel Klawonn , Martin Lanser , Lucas Mager , Ameya Rege

This paper introduces a novel watermarking method for diffusion models. It is based on guiding the diffusion process using the gradient computed from any off-the-shelf watermark decoder. The gradient computation encompasses different image…

Cryptography and Security · Computer Science 2026-05-08 Enoal Gesny , Eva Giboulot , Teddy Furon , Vivien Chappelier

Clouds classification is a great challenge in meteorological research. The different types of clouds, currently known and present in our skies, can produce radioactive effects that impact on the variation of atmospheric conditions, with the…

Image and Video Processing · Electrical Eng. & Systems 2021-03-09 Mario Manzo , Simone Pellino

The free energetics of water density fluctuations in bulk water, at interfaces, and in hydrophobic confinement inform the hydration of hydrophobic solutes as well as their interactions and assembly. The characterization of such free…

Statistical Mechanics · Physics 2018-03-15 Erte Xi , Sean M. Marks , Suruchi Fialoke , Amish J. Patel

We calculate bubble nucleation rates in a Lennard-Jones fluid through explicit molecular dynamics simulations. Our approach -- based on a recent free energy method (dubbed reweighted Jarzynski sampling), transition state theory, and a…

Soft Condensed Matter · Physics 2022-11-16 Kristof M. Bal , Erik C. Neyts

Deep learning approaches process data in a layer-by-layer way with intermediate (or latent) features. We aim at designing a general solution to optimize the latent manifolds to improve the performance on classification, segmentation,…

Machine Learning · Computer Science 2025-06-03 Yida Wang , David Joseph Tan , Nassir Navab , Federico Tombari

A simple numerical model which calculates the kinetics of crystallization involving randomly distributed nucleation and isotropic growth is presented. The model can be applied to different thermal histories and no restrictions are imposed…

Materials Science · Physics 2008-11-17 J. Farjas , P. Roura

We propose an extension of umbrella sampling in which the pertinent range of states is subdivided in windows that are sampled consecutively and linked together. Extrapolating results from one window we estimate a weight function for the…

Statistical Mechanics · Physics 2007-05-23 P. Virnau , M. Mueller

Simulating showers of particles in highly-granular calorimeters is a key frontier in the application of machine learning to particle physics. Achieving high accuracy and speed with generative machine learning models can enable them to…

Instrumentation and Detectors · Physics 2026-02-02 Thorsten Buss , Frank Gaede , Gregor Kasieczka , Anatolii Korol , Katja Krüger , Peter McKeown , Martina Mozzanica

We propose a numerical method for solving block-structured mesh partitioning problems based on the variational level-set method of (Zhao et al., J Comput Phys 127, 1996) which has been widely used in many partitioning problems such as image…

Computational Physics · Physics 2018-01-12 Shucheng Pan , Xiangyu Hu , Nikolaus. A. Adams

Data-driven methods based on machine learning have the potential to accelerate computational analysis of atomic structures. In this context, reliable uncertainty estimates are important for assessing confidence in predictions and enabling…

Machine Learning · Computer Science 2021-11-04 Jonas Busk , Peter Bjørn Jørgensen , Arghya Bhowmik , Mikkel N. Schmidt , Ole Winther , Tejs Vegge

We propose a new approach for scaling prior to cluster analysis based on the concept of pooled variance. Unlike available scaling procedures such as the standard deviation and the range, our proposed scale avoids dampening the beneficial…

Methodology · Statistics 2020-07-28 Jakob Raymaekers , Ruben H. Zamar

In this paper I discuss how to consistently incorporate higher-order corrections to the bubble-nucleation rate at finite temperature. Doing so I examine the merits of different approaches, with the goal of reducing uncertainties for…

High Energy Physics - Phenomenology · Physics 2022-03-01 Andreas Ekstedt

Among all the freezing transitions, that of water into ice is probably the most relevant to biology, physics, geology or atmospheric science. In this work we investigate homogeneous ice nucleation by means of computer simulations. We…

Soft Condensed Matter · Physics 2013-12-04 E. Sanz , C. Vega , J. R. Espinosa , R. Caballero-Bernal , J. L. F. Abascal , C. Valeriani