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We investigate the performance of the HemeLB lattice-Boltzmann simulator for cerebrovascular blood flow, aimed at providing timely and clinically relevant assistance to neurosurgeons. HemeLB is optimised for sparse geometries, supports…

Sampling from a quantum distribution can be exponentially hard for classical computers and yet could be performed efficiently by a noisy intermediate-scale quantum device. A prime example of a distribution that is hard to sample is given by…

An efficient parallelization approach to simulate optical properties of ensembles of quantum emitters in realistic electromagnetic environments is considered. It relies on balancing computing load of utilized processors and is built into…

Computational Physics · Physics 2023-02-01 Maxim Sukharev

Recently Chen and Poor initiated the study of learning mixtures of linear dynamical systems. While linear dynamical systems already have wide-ranging applications in modeling time-series data, using mixture models can lead to a better fit…

Machine Learning · Computer Science 2023-07-25 Ainesh Bakshi , Allen Liu , Ankur Moitra , Morris Yau

Running large-scale computer codes for huge fluid flow problems requires not only large supercomputers but also efficient and well-optimized computer codes that save the resources of those supercomputers. This paper evaluates the…

Computational Physics · Physics 2024-08-02 Maja Bacza , Tadeusz Tomczak , Maciej Matyka

Lagrangian algorithms to simulate the evolution of cold dark matter (CDM) are invaluable tools to generate large suites of mock halo catalogues. In this paper, we first show that the main limitation of current semi-analytical schemes to…

Cosmology and Nongalactic Astrophysics · Physics 2021-06-04 Federico Tosone , Mark C. Neyrinck , Benjamin R. Granett , Luigi Guzzo , Nicola Vittorio

We discuss the state of art of Lattice Boltzmann (LB) computing, with special focus on prospective LB schemes capable of meeting the forthcoming Exascale challenge. After reviewing the basic notions of LB computing, we discuss current…

Computational Physics · Physics 2020-06-14 Sauro Succi , Giorgio Amati , Massimo Bernaschi , Giacomo Falcucci , Marco Lauricella , Andrea Montessori

We focus on Partial Differential Equation (PDE) based Data Assimilatio problems (DA) solved by means of variational approaches and Kalman filter algorithm. Recently, we presented a Domain Decomposition framework (we call it DD-DA, for…

Machine Learning · Computer Science 2022-04-01 Rosalba Cacciapuoti , Luisa D'Amore

We theoretically investigate the quantum percolation problem on Lieb lattices in two and three dimensions. We study the statistics of the energy levels through random matrix theory, and determine the level spacing distributions, which, with…

Statistical Mechanics · Physics 2025-11-04 W. S. Oliveira , J. Pimentel de Lima , Raimundo R. dos Santos

We propose a distributed bootstrap method for simultaneous inference on high-dimensional massive data that are stored and processed with many machines. The method produces an $\ell_\infty$-norm confidence region based on a…

Methodology · Statistics 2022-06-15 Yang Yu , Shih-Kang Chao , Guang Cheng

The last decade has witnessed an explosion in the development of models, theory and computational algorithms for "big data" analysis. In particular, distributed computing has served as a natural and dominating paradigm for statistical…

Machine Learning · Statistics 2018-11-02 Bayan Saparbayeva , Michael Minyi Zhang , Lizhen Lin

We have developed a parallel Particle-Particle, Particle-Mesh (P^3M) simulation code for the T3E well suited to studying the time evolution of systems of particles interacting via gravity and gas forces in cosmological contexts. The…

Astrophysics · Physics 2009-09-25 Tom MacFarland , Jakob Pichlmeier , Frazer Pearce , Hugh Couchman

We design a Quasi-Polynomial time deterministic approximation algorithm for computing the integral of a multi-dimensional separable function, supported by some underlying hyper-graph structure, appropriately defined. Equivalently, our…

Data Structures and Algorithms · Computer Science 2024-02-14 David Gamarnik , Devin Smedira

A novel approach for simulating potential propagation in neuronal branches with high accuracy is developed. The method relies on high-order accurate difference schemes using the Summation-By-Parts operators with weak boundary and interface…

Numerical Analysis · Mathematics 2015-06-11 David Amsallem , Jan Nordstrom

Multi-compartment Hodgkin-Huxley models are biophysical models of how electrical signals propagate throughout a neuron, and they form the basis of our knowledge of neural computation at the cellular level. However, these models have many…

Neurons and Cognition · Quantitative Biology 2025-12-04 Ian Christopher Tanoh , Michael Deistler , Jakob H. Macke , Scott W. Linderman

The Lattice String Approximation algorithm (or LSA algorithm) of M. L. Lapidus and M. van Frankenhuijsen is a procedure that approximates the complex dimensions of a nonlattice self-similar fractal string by the complex dimensions of a…

Number Theory · Mathematics 2023-06-26 Michel L. Lapidus , Machiel van Frankenhuijsen , Edward K. Voskanian

Particle-in-Cell (PIC) simulations are fundamental to plasma physics but often suffer from limited scalability due to particle-grid interaction bottlenecks and particle redistribution costs. Specifically, the particle-grid interaction…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-04-22 Yizhuo Rao , Xingjian Cui , Shangzhi Pang , Jiabin Xie , Guangnan Feng , Jinhui Wei , Ziyan Zhang , Languang Gao , Zhenyu Wang , Zhiguang Chen , Yutong Lu

Two cluster algorithms, based on constructing and flipping loops, are presented for worldline quantum Monte Carlo simulations of fermions and are tested on the one-dimensional repulsive Hubbard model. We call these algorithms the loop-flip…

Condensed Matter · Physics 2007-05-23 N. Kawashima , J. E. Gubernatis , H. G. Evertz

The statistical problem of parameter estimation in partially observed hypoelliptic diffusion processes is naturally occurring in many applications. However, due to the noise structure, where the noise components of the different coordinates…

Methodology · Statistics 2018-11-13 Susanne Ditlevsen , Adeline Samson

Chemical space is so large that brute force searches for new interesting molecules are infeasible. High-throughput virtual screening via computer cluster simulations can speed up the discovery process by collecting very large amounts of…