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We present a new particle filtering algorithm for nonlinear systems in the discrete-time setting. Our algorithm is based on the Stein variational gradient descent (SVGD) framework, which is a general approach to sample from a target…

Computational Engineering, Finance, and Science · Computer Science 2021-06-22 Jiaojiao Fan , Amirhossein Taghvaei , Yongxin Chen

Block-sparse regularization is already well-known in active thermal imaging and is used for multiple measurement based inverse problems. The main bottleneck of this method is the choice of regularization parameters which differs for each…

Computer Vision and Pattern Recognition · Computer Science 2024-10-30 Samim Ahmadi , Jan Christian Hauffen , Linh Kästner , Peter Jung , Giuseppe Caire , Mathias Ziegler

We present the algorithm for generating strictly saturated random sequential adsorption packings built of rounded polygons. It can be used to study various properties of such packings built of a wide variety of different shapes and in…

Statistical Mechanics · Physics 2021-06-23 Michał Cieśla , Piotr Kubala , Konrad Kozubek

We describe and demonstrate a method for increasing the resolution locally in a Smoothed Particle Hydrodynamic (SPH) simulation, by splitting particles. We show that in simulations of self-gravitating collapse (of the sort which are…

Astrophysics · Physics 2009-11-07 S. Kitsionas , A. P. Whitworth

We study the Maximum Independent Set of Rectangles (MISR) problem, where we are given a set of axis-parallel rectangles in the plane and the goal is to select a subset of non-overlapping rectangles of maximum cardinality. In a recent…

Computational Geometry · Computer Science 2021-09-28 Waldo Gálvez , Arindam Khan , Mathieu Mari , Tobias Mömke , Madhusudhan Reddy , Andreas Wiese

In this article we propose an improvement on the sequential updating and greedy search (SUGS) algorithm Wang and Dunson for fast fitting of Dirichlet process mixture models. The SUGS algorithm provides a means for very fast approximate…

Computation · Statistics 2015-05-01 David Nott , Xiaole Zhang , Chris Yau , Ajay Jasra

Tidal debris structures formed from disrupted satellites contain important clues about the assembly histories of galaxies. To date, studies of these structures have been hampered by reliance on by-eye identification and morphological…

Astrophysics of Galaxies · Physics 2019-04-24 David Hendel , Kathryn V. Johnston , Rohit K. Patra , Bodhisattva Sen

For problems in astrophysics, planetary science and beyond, numerical simulations are often limited to simulating fewer particles than in the real system. To model collisions, the simulated particles (aka superparticles) need to be inflated…

Earth and Planetary Astrophysics · Physics 2020-06-03 David Nesvorny , Andrew N. Youdin , Raphael Marschall , Derek C. Richardson

Detector simulation and reconstruction are a significant computational bottleneck in particle physics. We develop Particle-flow Neural Assisted Simulations (Parnassus) to address this challenge. Our deep learning model takes as input a…

Data Analysis, Statistics and Probability · Physics 2024-11-22 Etienne Dreyer , Eilam Gross , Dmitrii Kobylianskii , Vinicius Mikuni , Benjamin Nachman , Nathalie Soybelman

In this work we analyze a convex-programming method for estimating superpositions of point sources or spikes from nonuniform samples of their convolution with a known kernel. We consider a one-dimensional model where the kernel is either a…

Optimization and Control · Mathematics 2018-06-04 Brett Bernstein , Carlos Fernandez-Granda

Stars and planets form in collapsing clouds of gas and dust. The presence of dust grains and their local distribution play a significant role throughout the protostellar sequence, from the thermodynamics and the chemistry of molecular…

Instrumentation and Methods for Astrophysics · Physics 2025-09-08 Gabriel Verrier , Ugo Lebreuilly , Patrick Hennebelle

A numerical algorithm for solving mantle convection problems with strongly variable viscosity is presented. Equations for conservation of mass and momentum for highly viscous and incompressible fluids are solved iteratively by a multigrid…

Geophysics · Physics 2009-11-10 Masanori Kameyama , Akira Kageyama , Tetsuya Sato

The ability to automatically discover interpretable mathematical models from data could forever change how we model soft matter systems. For convex discovery problems with a unique global minimum, model discovery is well-established. It…

Soft Condensed Matter · Physics 2024-04-11 Kevin Linka , Ellen Kuhl

The purpose of this document is to describe the upgrade of the CRESST dark matter search at LNGS. The proposed strategy will allow to explore a region of the parameter space for spin-independent WIMP-nucleon elastic scattering corresponding…

In several application domains, high-dimensional observations are collected and then analysed in search for naturally occurring data clusters which might provide further insights about the nature of the problem. In this paper we describe a…

Machine Learning · Statistics 2012-03-07 Brian McWilliams , Giovanni Montana

We present a variational quantum algorithm for structural mechanical problems, specifically addressing crack opening simulations that traditionally require extensive computational resources. Our approach provides an alternative solution for…

We give an efficient algorithm for robustly clustering of a mixture of two arbitrary Gaussians, a central open problem in the theory of computationally efficient robust estimation, assuming only that the the means of the component Gaussians…

Data Structures and Algorithms · Computer Science 2020-06-02 He Jia , Santosh Vempala

Real-space refinement of atomic models in macromolecular crystallography or in cryo electron microscopy fits a model to a map obtained experimentally. This requires generating model maps of a limited resolution which moreover may vary from…

Computational Engineering, Finance, and Science · Computer Science 2022-06-22 Ludmila Urzhumtseva , Vladimir Y. Lunin , Alexandre Urzhumtsev

A novel fifth-order compact gas-kinetic scheme is developed for high-resolution simulation of compressible flows on structured meshes. Its accuracy relies on a new multidimensional fifth-order compact reconstruction that uses line-averaged…

Numerical Analysis · Mathematics 2025-08-13 Yaqing Yang , Fengxiang Zhao , Kun Xu

Random sequential adsorption algorithm is a popular tool for modelling structure of monolayers built in irreversible adsorption experiments. However, this algorithm becomes very inefficient when the density of molecules in a layer rises.…

Computational Physics · Physics 2019-11-25 Michał Cieśla