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Simulation-based Bayesian inference (SBI) can be used to estimate the parameters of complex mechanistic models given observed model outputs without requiring access to explicit likelihood evaluations. A prime example for the application of…

机器学习 · 计算机科学 2022-11-28 Jonas Beck , Michael Deistler , Yves Bernaerts , Jakob Macke , Philipp Berens

Neural networks are being extensively used for modelling data, especially in the case where no likelihood can be formulated. Although in the case of X-ray spectral fitting, the likelihood is known, we aim to investigate the neural networks…

天体物理仪器与方法 · 物理学 2024-02-22 Didier Barret , Simon Dupourqué

(Abridged) Simulation-based inference (SBI) has emerged as a powerful framework for extracting cosmological information from complex, non-linear data where analytical likelihoods are unavailable. Its reliability is commonly assessed using…

宇宙学与河外天体物理 · 物理学 2026-05-07 Toka Alokda , Cristiano Porciani , Alexander Eggemeier

Simulation-based inference (SBI) methods typically require fully observed data to infer parameters of models with intractable likelihood functions. However, datasets often contain missing values due to incomplete observations, data…

机器学习 · 计算机科学 2025-03-04 Yogesh Verma , Ayush Bharti , Vikas Garg

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…

天体物理仪器与方法 · 物理学 2022-07-13 Justine Zeghal , François Lanusse , Alexandre Boucaud , Benjamin Remy , Eric Aubourg

Timing of high-count rate sources with the NuSTAR Small Explorer Mission requires specialized analysis techniques. NuSTAR was primarily designed for spectroscopic observations of sources with relatively low count-rates rather than for…

Making inferences about physical properties of the Universe requires knowledge of the data likelihood. A Gaussian distribution is commonly assumed for the uncertainties with a covariance matrix estimated from a set of simulations. The noise…

宇宙学与河外天体物理 · 物理学 2025-07-09 Jed Homer , Oliver Friedrich , Daniel Gruen

Knowledge of the primordial matter density field from which the large-scale structure of the Universe emerged over cosmic time is of fundamental importance for cosmology. However, reconstructing these cosmological initial conditions from…

宇宙学与河外天体物理 · 物理学 2025-02-06 Oleg Savchenko , Guillermo Franco Abellán , Florian List , Noemi Anau Montel , Christoph Weniger

Scientists and engineers employ stochastic numerical simulators to model empirically observed phenomena. In contrast to purely statistical models, simulators express scientific principles that provide powerful inductive biases, improve…

Bayesian inference for complex models with an intractable likelihood can be tackled using algorithms performing many calls to computer simulators. These approaches are collectively known as "simulation-based inference" (SBI). Recent SBI…

Parameter estimation for gravitational-wave signals is computationally demanding due to the high dimensionality of the parameter space and the cost of repeated waveform generation in traditional Bayesian inference. These analyses require on…

广义相对论与量子宇宙学 · 物理学 2026-03-30 Sama Al-Shammari , Alexandre Göttel , Masaki Iwaya , Vivien Raymond

Some of the issues that make sampling parameter spaces of various beyond the Standard Model (BSM) scenarios computationally expensive are the high dimensionality of the input parameter space, complex likelihoods, and stringent experimental…

高能物理 - 唯象学 · 物理学 2026-02-16 Atrideb Chatterjee , Arghya Choudhury , Sourav Mitra , Arpita Mondal , Subhadeep Mondal

Simulation-based inference (SBI) makes it possible to infer the parameters of a model from high-dimensional low-level features of the observed events. In this work we show how this method can be used to establish the presence of a weak…

高能物理 - 唯象学 · 物理学 2024-07-31 Kierthika Chathirathas , Torben Ferber , Felix Kahlhoefer , Alessandro Morandini

Simulation-based inference (SBI) enables parameter inference by training neural networks on forward simulations. It is being applied both for intractable likelihoods as well as under time constraints on the posterior sampling. After…

宇宙学与河外天体物理 · 物理学 2026-05-12 Leander Thiele

X-ray spectral fitting in high-energy astrophysics can be reliably accelerated using Machine Learning. In particular, Simulation-based Inference (SBI) produces accurate posterior distributions in the Gaussian and Poisson regime for…

天体物理仪器与方法 · 物理学 2025-07-09 Simon Dupourqué , Didier Barret

Amortized simulation-based inference (SBI) methods train neural networks on simulated data to perform Bayesian inference. While this strategy avoids the need for tractable likelihoods, it often requires a large number of simulations and has…

机器学习 · 计算机科学 2025-03-04 Manuel Gloeckler , Shoji Toyota , Kenji Fukumizu , Jakob H. Macke

The standard approach to inference from cosmic large-scale structure data employs summary statistics that are compared to analytic models in a Gaussian likelihood with pre-computed covariance. To overcome the idealising assumptions about…

宇宙学与河外天体物理 · 物理学 2023-08-24 Kiyam Lin , Maximilian von Wietersheim-Kramsta , Benjamin Joachimi , Stephen Feeney

The growing availability of large and complex datasets has increased interest in temporal stochastic processes that can capture stylized facts such as marginal skewness, non-Gaussian tails, long memory, and even non-Markovian dynamics.…

机器学习 · 统计学 2025-10-09 Dan Leonte , Raphaël Huser , Almut E. D. Veraart

A central challenge in many areas of science and engineering is to identify model parameters that are consistent with prior knowledge and empirical data. Bayesian inference offers a principled framework for this task, but can be…

Aided by advances in neural density estimation, considerable progress has been made in recent years towards a suite of simulation-based inference (SBI) methods capable of performing flexible, black-box, approximate Bayesian inference for…

机器学习 · 统计学 2022-09-07 Patrick Cannon , Daniel Ward , Sebastian M. Schmon
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