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Fitting a theoretical model to experimental data in a Bayesian manner using Markov chain Monte Carlo typically requires one to evaluate the model thousands (or millions) of times. When the model is a slow-to-compute physics simulation,…

Machine Learning · Statistics 2022-08-25 Steven Stetzler , Michael Grosskopf , Earl Lawrence

We present FlowSN, a statistical framework using simulation-based inference (SBI) with normalising flows to account for selection effects in observational astronomy. Failure to account for selection effects can lead to biased inference on…

Tabular data stands out as one of the most frequently encountered types in high energy physics. Unlike commonly homogeneous data such as pixelated images, simulating high-dimensional tabular data and accurately capturing their correlations…

Instrumentation and Detectors · Physics 2024-04-30 Cheng Jiang , Sitian Qian , Huilin Qu

The parametric behavior of regular periodic arrays of rising bubbles is investigated with the aid of 2-dimensional BGK Lattice-Boltzmann (LB) simulators. The Recursive Projection Method is implemented and coupled to the LB simulators,…

Pattern Formation and Solitons · Physics 2007-05-23 C. Theodoropoulos , K. Sankaranarayanan , S. Sundaresan , I. G. Kevrekidis

We make the case for studying the complexity of approximately simulating (sampling) quantum systems for reasons beyond that of quantum computational supremacy, such as diagnosing phase transitions. We consider the sampling complexity as a…

Quantum Physics · Physics 2018-08-07 Abhinav Deshpande , Bill Fefferman , Minh C. Tran , Michael Foss-Feig , Alexey V. Gorshkov

We present a system that enables rapid model experimentation for tera-scale machine learning with trillions of non-zero features, billions of training examples, and millions of parameters. Our contribution to the literature is a new method…

Machine Learning · Computer Science 2012-09-07 Stephen Purpura , Dustin Hillard , Mark Hubenthal , Jim Walsh , Scott Golder , Scott Smith

BosonSampling is the leading candidate for demonstrating quantum computational advantage in photonic systems. While we have recently seen many impressive experimental demonstrations, there is still a formidable distance between the…

Bayesian optimization (BO) is a widely-used method for optimizing expensive (to evaluate) problems. At the core of most BO methods is the modeling of the objective function using a Gaussian Process (GP) whose covariance is selected from a…

The coarse-grained molecular dynamics (MD) or Brownian dynamics (BD) simulation is a particle-based approach that has been applied to a wide range of biological problems that involve interactions with surrounding fluid molecules or the…

Soft Condensed Matter · Physics 2014-11-20 Szu-Pei Fu , Yuan-Nan Young , Shidong Jiang

The Bhatnagar-Gross-Krook (BGK) model of the Boltzmann equation allows for efficient flow simulations, especially in the transition regime between continuum and high rarefaction. However, ensuring efficient performances for multiscale…

Fluid Dynamics · Physics 2025-05-09 Félix Garmirian , Marcel Pfeiffer

The purpose of this review is to present a comprehensive overview of the theory of ensemble Kalman-Bucy filtering for continuous-time, linear-Gaussian signal and observation models. We present a system of equations that describe the flow of…

Statistics Theory · Mathematics 2023-06-16 Adrian N. Bishop , Pierre Del Moral

Quantum computation, aiming at tackling hard problems beyond classical approaches, has been flourishing with each passing day. Unfortunately, a fully scalable and fault-tolerant universal quantum computer remains challenging based on the…

Gaussian Boson Sampling (GBS) is a promising candidate for demonstrating quantum computational advantage and can be applied to solving graph-related problems. In this work, we propose Markov chain Monte Carlo-based algorithms to sample from…

Quantum Physics · Physics 2025-10-31 Yexin Zhang , Shuo Zhou , Xinzhao Wang , Ziruo Wang , Ziyi Yang , Rui Yang , Yecheng Xue , Tongyang Li

Accurate and rapid prediction of flow-fields is crucial for aerodynamic design. This work proposes a discontinuous Galerkin method (DGM) whose performance enhances with increasing data, for rapid simulation of transonic flow around airfoils…

Fluid Dynamics · Physics 2024-11-15 Yiwei Feng , Lili Lv , Weixiong Yuan , Liang Xu , Tiegang Liu

A double-distribution-function based lattice Boltzmann method (DDF-LBM) is proposed for the simulation of polyatomic gases in the supersonic regime. The model relies on an extended equilibrium state that is constructed to reproduce the…

Computational Physics · Physics 2020-02-13 Jonas Latt , Christophe Coreixas , Joel Beny , Andrea Parmigiani

Sparse functional data frequently arise in real-world applications, posing significant challenges for accurate classification. To address this, we propose a novel classification method that integrates functional principal component analysis…

Computation · Statistics 2025-03-17 Ahmad Talafha

The Cox process is a stochastic process which generalises the Poisson process by letting the underlying intensity function itself be a stochastic process. In this paper we present a fast Bayesian inference scheme for the permanental…

Methodology · Statistics 2018-08-07 Christian J. Walder , Adrian N. Bishop

Bayesian optimization (BO) is a powerful framework for estimating parameters of expensive simulation models, particularly in settings where the likelihood is intractable and evaluations are costly. In stochastic models every simulation is…

Using tools from representation theory, we derive expressions for the coincidence rate of partially-distinguishable particles in an interferometry experiment. Our expressions are valid for either bosons or fermions, and for any number of…

Quantum Physics · Physics 2022-05-04 Dylan Spivak , Murphy Yuezhen Niu , Barry C. Sanders , Hubert de Guise

Bayesian optimization (BO) has proven to be an effective paradigm for the global optimization of expensive-to-sample systems. One of the main advantages of BO is its use of Gaussian processes (GPs) to characterize model uncertainty which…

Machine Learning · Statistics 2023-11-30 Leonardo D. González , Victor M. Zavala
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