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In this paper we introduce JuliaSim, a high-performance programming environment designed to blend traditional modeling and simulation with machine learning. JuliaSim can build accelerated surrogates from component-based models, such as…

Computational Engineering, Finance, and Science · Computer Science 2021-05-14 Chris Rackauckas , Ranjan Anantharaman , Alan Edelman , Shashi Gowda , Maja Gwozdz , Anand Jain , Chris Laughman , Yingbo Ma , Francesco Martinuzzi , Avik Pal , Utkarsh Rajput , Elliot Saba , Viral B. Shah

Over the last two decades, the science has come a long way from relying on only physical experiments and observations to experimentation using computer simulators. This chapter focusses on the modelling and analysis of data arising from…

Methodology · Statistics 2020-12-22 M. Harshvardhan , Pritam Ranjan

High-harmonic generation (HHG) normally requires a careful adjustment of the driving laser intensity (typically $10^{14} - 10^{15}$ W/cm$^2$) and gas medium parameters to enable good phase matching conditions. In contrast with conventional…

The status of thermal model descriptions of particle production in heavy ion collisions is presented. We discuss the formulation of statistical models with different implementation of the conservation laws and indicate their applicability…

Nuclear Theory · Physics 2016-11-23 P. Braun-Munzinger , K. Redlich , J. Stachel

Heteroscedastic Gaussian process regression, based on the concept of chained Gaussian processes, is used to build surrogates to predict site-specific loads on an offshore wind turbine. Stochasticity in the inflow turbulence and irregular…

Applications · Statistics 2022-06-15 Deepali Singh , Richard P. Dwight , Kasper Laugesen , Laurent Beaudet , Axelle Viré

The efficient generation of intense X-rays and $\gamma$-radiation is studied. The scheme is based on the relativistic mirror concept, {\it i.e.}, a flying thin plasma slab interacts with a counterpropagating laser pulse, reflecting part of…

Plasma Physics · Physics 2010-04-08 S. S. Bulanov , A. Maksimchuk , K. Krushelnick , K. I. Popov , V. Yu. Bychenkov , W. Rozmus

A customized finite-difference field solver for the particle-in-cell (PIC) algorithm that provides higher fidelity for wave-particle interactions in intense electromagnetic waves is presented. In many problems of interest, particles with…

Computational Physics · Physics 2022-04-26 Fei Li , Kyle G. Miller , Xinlu Xu , Frank S. Tsung , Viktor K. Decyk , Weiming An , Ricardo A. Fonseca , Warren B. Mori

Two-dimension Particle-in-cell simulations for laser plasma interaction with laser intensity of $10^{16} W/cm^2$, plasma density range of 0.01-0.28$n_c$ and scale length of $230 -330 \mu m$ showed significant pump depletion of the laser…

Plasma Physics · Physics 2020-03-25 J. Li , S. Zhang , C. M. Krauland , H. Wen , F. N. Beg , C. Ren , M. S. Wei

Deep Gaussian processes (DGPs) provide a rich class of models that can better represent functions with varying regimes or sharp changes, compared to conventional GPs. In this work, we propose a novel inference method for DGPs for computer…

Machine Learning · Statistics 2022-08-18 Deyu Ming , Daniel Williamson , Serge Guillas

Deep Gaussian processes (DGPs) are increasingly popular as predictive models in machine learning (ML) for their non-stationary flexibility and ability to cope with abrupt regime changes in training data. Here we explore DGPs as surrogates…

Methodology · Statistics 2021-08-27 Annie Sauer , Robert B. Gramacy , David Higdon

The design of inertial fusion experiments is a complex task as driver energy must be delivered in a precise manner to a structured target to achieve a fast, but hydrodynamically stable, implosion. Radiation-hydrodynamics simulation codes…

Plasma Physics · Physics 2025-08-29 A. J. Crilly , P. W. Moloney , D. Shi , E. A. Ferdinandi

A key challenge with controlling complex dynamical systems is to accurately model them. However, this requirement is very hard to satisfy in practice. Data-driven approaches such as Gaussian processes (GPs) have proved quite effective by…

Robotics · Computer Science 2022-03-08 Mouhyemen Khan , Akash Patel , Abhijit Chatterjee

Statistical emulators of computer simulators have proven to be useful in a variety of applications. The widely adopted model for emulator building, using a Gaussian process model with strictly positive correlation function, is…

Methodology · Statistics 2012-02-29 Cari G. Kaufman , Derek Bingham , Salman Habib , Katrin Heitmann , Joshua A. Frieman

Measurements from the Large Hadron Collider (LHC) and the Relativistic Heavy Ion Collider (RHIC) can be used to study the properties of quark-gluon plasma. Systematic constraints on these properties must combine measurements from different…

In this manuscript we present a theoretical framework and its numerical implementation to simulate the out-of-equilibrium electron dynamics induced by the interaction of ultrashort laser pulses in condensed-matter systems. Our approach is…

The creation of attosecond pulses via laser-plasma interaction has been a subject of great scientific interest for more than three decades. This process is investigated by using particle-in-cell simulation with varying the plasma and laser…

Plasma Physics · Physics 2021-09-24 Lin Cheng , Zhixin Fan , Liguang Jiao , Aihua Liu

We present an approximate Bayesian inference approach for estimating the intensity of an inhomogeneous Poisson process, where the intensity function is modelled using a Gaussian process (GP) prior via a sigmoid link function. Augmenting the…

Machine Learning · Statistics 2019-05-06 Christian Donner , Manfred Opper

In this study we explore the possibility of using the process of electron-positron pair creation in strong laser fields as a tool for measuring the intensity of the corresponding laser radiation. In the initial state we consider either free…

Plasma Physics · Physics 2021-11-10 I. A. Aleksandrov , A. A. Andreev

In this paper, electromagnetic emissions produced in a thin beam-plasma system are studied using two-dimensional particle-in-cell simulations. For the first time, the problem of emission generation in such a system is considered in the…

Plasma Physics · Physics 2016-05-25 V. V. Annenkov , I. V. Timofeev , E. P. Volchok

The estimation of unknown values of parameters (or hidden variables, control variables) that characterise a physical system often relies on the comparison of measured data with synthetic data produced by some numerical simulator of the…

Machine Learning · Computer Science 2019-01-28 Xi Chen , Mike Hobson
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