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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…

Simulation-based inference (SBI) methods tackle complex scientific models with challenging inverse problems. However, SBI models often face a significant hurdle due to their non-differentiable nature, which hampers the use of gradient-based…

Machine Learning · Computer Science 2023-06-29 Vincent D. Zaballa , Elliot E. Hui

Scientists and engineers use simulators to model empirically observed phenomena. However, tuning the parameters of a simulator to ensure its outputs match observed data presents a significant challenge. Simulation-based inference (SBI)…

Current experimental scientists have been increasingly relying on simulation-based inference (SBI) to invert complex non-linear models with intractable likelihoods. However, posterior approximations obtained with SBI are often…

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…

Cosmology and Nongalactic Astrophysics · Physics 2026-05-12 Leander Thiele

Diffusion models have recently emerged as powerful learners for simulation-based inference (SBI), enabling fast and accurate estimation of latent parameters from simulated and real data. Their score-based formulation offers a flexible way…

Machine Learning · Statistics 2026-01-30 Jonas Arruda , Niels Bracher , Ullrich Köthe , Jan Hasenauer , Stefan T. Radev

Computational models are invaluable in capturing the complexities of real-world biological processes. Yet, the selection of appropriate algorithms for inference tasks, especially when dealing with real-world observational data, remains a…

Applications · Statistics 2024-10-01 Xiaoyu Wang , Ryan P. Kelly , Adrianne L. Jenner , David J. Warne , Christopher Drovandi

The Laser Interferometer Space Antenna (LISA) data stream will inevitably contain gaps due to maintenance and environmental disturbances, introducing nonstationarities and spectral leakage that compromise standard frequency-domain…

Instrumentation and Methods for Astrophysics · Physics 2025-12-30 Ruiting Mao , Jeong Eun Lee , Matthew C. Edwards

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…

Instrumentation and Methods for Astrophysics · Physics 2024-02-22 Didier Barret , Simon Dupourqué

Simulation-based inference (SBI) provides a powerful framework for inferring posterior distributions of stochastic simulators in a wide range of domains. In many settings, however, the posterior distribution is not the end goal itself --…

Machine Learning · Computer Science 2023-12-19 Mila Gorecki , Jakob H. Macke , Michael Deistler

In recent years, there has been a remarkable development of simulation-based inference (SBI) algorithms, and they have now been applied across a wide range of astrophysical and cosmological analyses. There are a number of key advantages to…

Instrumentation and Methods for Astrophysics · Physics 2025-03-18 Noemi Anau Montel , James Alvey , Christoph Weniger

Unbinned likelihood fits aim at maximizing the information one can extract from experimental data, yet their application in realistic statistical analyses is often hindered by the computational cost of profiling systematic uncertainties.…

High Energy Physics - Phenomenology · Physics 2026-02-16 Davide Valsecchi , Mauro Donegà , Rainer Wallny

This paper presents recent methodological advances to perform simulation-based inference (SBI) of a general class of Bayesian hierarchical models (BHMs), while checking for model misspecification. Our approach is based on a two-step…

Methodology · Statistics 2022-11-03 Florent Leclercq

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…

Machine Learning · Statistics 2022-09-07 Patrick Cannon , Daniel Ward , Sebastian M. Schmon

Bayesian simulation-based inference (SBI) methods are used in statistical models where simulation is feasible but the likelihood is intractable. Standard SBI methods can perform poorly in cases of model misspecification, and there has been…

Methodology · Statistics 2025-04-15 Wang Yuyan , Michael Evans , David J. Nott

Black-box simulators are widely used in robotics, but optimizing their parameters remains challenging due to inaccessible likelihoods. Simulation-Based Inference (SBI) tackles this issue using simulation-driven approaches, estimating the…

Robotics · Computer Science 2025-10-20 Gahee Kim , Takamitsu Matsubara

Simulation-based inference (SBI) is the preferred framework for estimating parameters of intractable models in science and engineering. A significant challenge in this context is the large computational cost of simulating data from complex…

Machine Learning · Statistics 2025-02-18 Ayush Bharti , Daolang Huang , Samuel Kaski , François-Xavier Briol

For stochastic process models, parameter inference is often severely bottlenecked by computationally expensive likelihood functions. Simulation-based inference (SBI) bypasses this restriction by constructing amortized surrogate likelihoods,…

Machine Learning · Statistics 2026-05-26 Alexander Shen , Mikael Kuusela

We introduce Pawsterior, a variational flow-matching framework for improved and extended simulation-based inference (SBI). Many SBI problems involve posteriors constrained by structured domains, such as bounded physical parameters or hybrid…

Machine Learning · Computer Science 2026-03-10 Jorge Carrasco-Pollo , Floor Eijkelboom , Jan-Willem van de Meent

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…

Instrumentation and Methods for Astrophysics · Physics 2025-07-09 Simon Dupourqué , Didier Barret