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Complex scientific models where the likelihood cannot be evaluated present a challenge for statistical inference. Over the past two decades, a wide range of algorithms have been proposed for learning parameters in computationally feasible…

Computation · Statistics 2021-12-16 Aden Forrow , Ruth E. Baker

Simulation-Based Inference (SBI) is a common name for an emerging family of approaches that infer the model parameters when the likelihood is intractable. Existing SBI methods either approximate the likelihood, such as Approximate Bayesian…

Machine Learning · Computer Science 2023-11-29 Theo Gruner , Boris Belousov , Fabio Muratore , Daniel Palenicek , Jan Peters

Simulation-based inference methods have been shown to be inaccurate in the data-poor regime, when training simulations are limited or expensive. Under these circumstances, the inference network is particularly prone to overfitting, and…

With the next generation of both electromagnetic and gravitational wave observatories beginning to come online, rapid analysis methods for kilonova data are becoming increasingly important in astronomy. Traditional Bayesian parameter…

Instrumentation and Methods for Astrophysics · Physics 2026-05-15 Stephanie M. Brown , Mattia Bulla , Hiranya V. Peiris , Nikhil Sarin , Daniel Mortlock , Stephen Thorp , Gurjeet Jagwani , Stephan Rosswog , Samaya Nissanke

Inspired by recent work on extended image volumes that lays the ground for randomized probing of extremely large seismic wavefield matrices, we present a memory frugal and computationally efficient inversion methodology that uses techniques…

Geophysics · Physics 2021-04-05 Mathias Louboutin , Felix J. Herrmann

This paper develops a multifidelity method that enables estimation of failure probabilities for expensive-to-evaluate models via information fusion and importance sampling. The presented general fusion method combines multiple probability…

Fast and automated inference of binary-lens, single-source (2L1S) microlensing events with sampling-based Bayesian algorithms (e.g., Markov Chain Monte Carlo; MCMC) is challenged on two fronts: high computational cost of likelihood…

Instrumentation and Methods for Astrophysics · Physics 2021-05-19 Keming Zhang , Joshua S. Bloom , B. Scott Gaudi , Francois Lanusse , Casey Lam , Jessica R. Lu

Simulators often provide the best description of real-world phenomena. However, they also lead to challenging inverse problems because the density they implicitly define is often intractable. We present a new suite of simulation-based…

Machine Learning · Statistics 2020-02-25 Johann Brehmer , Gilles Louppe , Juan Pavez , Kyle Cranmer

High-fidelity simulators that connect theoretical models with observations are indispensable tools in many sciences. When coupled with machine learning, a simulator makes it possible to infer the parameters of a theoretical model directly…

Methodology · Statistics 2023-11-03 Ali Al Kadhim , Harrison B. Prosper , Olivia F. Prosper

The logistic specification has been used extensively in non-Bayesian statistics to model the dependence of discrete outcomes on the values of specified covariates. Because the likelihood function is globally weakly concave estimation by…

Computation · Statistics 2013-04-17 John Geweke , Garland Durham , Huaxin Xu

High-fidelity physics simulations are powerful tools in the design and optimization of charged particle accelerators. However, the computational burden of these simulations often limits their use in practice for design optimization and…

Accelerator Physics · Physics 2020-04-15 Auralee Edelen , Nicole Neveu , Yannick Huber , Mattias Frey , Christopher Mayes , Andreas Adelmann

We present Sequential Neural Likelihood (SNL), a new method for Bayesian inference in simulator models, where the likelihood is intractable but simulating data from the model is possible. SNL trains an autoregressive flow on simulated data…

Machine Learning · Statistics 2019-01-23 George Papamakarios , David C. Sterratt , Iain Murray

Surrogate models for computational simulations are input-output approximations that allow computationally intensive analyses, such as uncertainty propagation and inference, to be performed efficiently. When a simulation output does not…

Computational Engineering, Finance, and Science · Computer Science 2014-08-05 Alex A. Gorodetsky , Youssef M. Marzouk

In many areas of science, complex phenomena are modeled by stochastic parametric simulators, often featuring high-dimensional parameter spaces and intractable likelihoods. In this context, performing Bayesian inference can be challenging.…

Machine Learning · Computer Science 2021-11-10 François Rozet , Gilles Louppe

Accurate simulation of complex physical systems enables the development, testing, and certification of control strategies before they are deployed into the real systems. As simulators become more advanced, the analytical tractability of the…

Robotics · Computer Science 2020-05-27 Lucas Barcelos , Rafael Oliveira , Rafael Possas , Lionel Ott , Fabio Ramos

Optimization algorithms such as projected Newton's method, FISTA, mirror descent, and its variants enjoy near-optimal regret bounds and convergence rates, but suffer from a computational bottleneck of computing ``projections'' in…

Machine Learning · Computer Science 2023-03-13 Jai Moondra , Hassan Mortagy , Swati Gupta

State-of-the-art neural network-based methods for learning summary statistics have delivered promising results for simulation-based likelihood-free parameter inference. Existing approaches require density estimation as a post-processing…

We describe an embarrassingly parallel, anytime Monte Carlo method for likelihood-free models. The algorithm starts with the view that the stochasticity of the pseudo-samples generated by the simulator can be controlled externally by a…

Machine Learning · Computer Science 2015-12-03 Edward Meeds , Max Welling

Large sample size brings the computation bottleneck for modern data analysis. Subsampling is one of efficient strategies to handle this problem. In previous studies, researchers make more fo- cus on subsampling with replacement (SSR) than…

Machine Learning · Statistics 2015-11-24 Rong Zhu

Simulation-Based Inference (SBI) is a promising Bayesian inference framework that alleviates the need for analytic likelihoods to estimate posterior distributions. Recent advances using neural density estimators in SBI algorithms have…

Instrumentation and Methods for Astrophysics · Physics 2022-07-13 Justine Zeghal , François Lanusse , Alexandre Boucaud , Benjamin Remy , Eric Aubourg