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Most of the fundamental, emergent, and phenomenological parameters of particle and nuclear physics are determined through parametric template fits. Simulations are used to populate histograms which are then matched to data. This approach is…

High Energy Physics - Phenomenology · Physics 2025-03-12 Benjamin Sluijter , Sascha Diefenbacher , Wahid Bhimji , Benjamin Nachman

Bayesian inference allows expressing the uncertainty of posterior belief under a probabilistic model given prior information and the likelihood of the evidence. Predominantly, the likelihood function is only implicitly established by a…

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…

High Energy Physics - Phenomenology · Physics 2024-07-31 Kierthika Chathirathas , Torben Ferber , Felix Kahlhoefer , Alessandro Morandini

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

We analyze a lightweight simulation-based inference method that infers simulator parameters using only a regression-based projection of the observed data. After fitting a surrogate linear regression once, the procedure simulates small…

Methodology · Statistics 2026-02-04 Arya Farahi , Jonah Rose , Paul Torrey

We introduce Sequential Neural Posterior Score Estimation (SNPSE), a score-based method for Bayesian inference in simulator-based models. Our method, inspired by the remarkable success of score-based methods in generative modelling,…

Machine Learning · Statistics 2024-06-04 Louis Sharrock , Jack Simons , Song Liu , Mark Beaumont

Simulation-Based Inference (SBI) offers a principled and flexible framework for conducting Bayesian inference in any situation where forward simulations are feasible. However, validating the accuracy and reliability of the inferred…

Instrumentation and Methods for Astrophysics · Physics 2026-01-21 James Alvey , Carlo R. Contaldi , Mauro Pieroni

Simulation models are widely used in practice to facilitate decision-making in a complex, dynamic and stochastic environment. But they are computationally expensive to execute and optimize, due to lack of analytical tractability. Simulation…

Optimization and Control · Mathematics 2021-06-14 L. Jeff Hong , Xiaowei Zhang

Research on Symbolic Probabilistic Inference (SPI) [2, 3] has provided an algorithm for resolving general queries in Bayesian networks. SPI applies the concept of dependency directed backward search to probabilistic inference, and is…

Artificial Intelligence · Computer Science 2013-03-26 Kuo-Chu Chang , Robert Fung

Bayesian neural networks (BNNs) offer uncertainty quantification but come with the downside of substantially increased training and inference costs. Sparse BNNs have been investigated for efficient inference, typically by either slowly…

Machine Learning · Computer Science 2024-02-20 Junbo Li , Zichen Miao , Qiang Qiu , Ruqi Zhang

Upcoming astronomical surveys will observe billions of galaxies across cosmic time, providing a unique opportunity to map the many pathways of galaxy assembly to an incredibly high resolution. However, the huge amount of data also poses an…

Instrumentation and Methods for Astrophysics · Physics 2022-11-08 Bingjie Wang , Joel Leja , Ashley Villar , Joshua S. Speagle

Prediction algorithms, such as deep neural networks (DNNs), are used in many domain sciences to directly estimate internal parameters of interest in simulator-based models, especially in settings where the observations include images or…

Machine Learning · Statistics 2023-11-14 Luca Masserano , Tommaso Dorigo , Rafael Izbicki , Mikael Kuusela , Ann B. Lee

The large number of strong lenses discoverable in future astronomical surveys will likely enhance the value of strong gravitational lensing as a cosmic probe of dark energy and dark matter. However, leveraging the increased statistical…

Instrumentation and Methods for Astrophysics · Physics 2025-06-03 Jason Poh , Ashwin Samudre , Aleksandra Ćiprijanović , Joshua Frieman , Gourav Khullar , Brian D. Nord

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

Simulation-based inference (SBI) provides amortized Bayesian parameter inference from simulator-generated data without requiring explicit likelihood evaluation. Its reliability can degrade under model misspecification, where real-world…

Machine Learning · Computer Science 2026-05-18 Joon Jang , Eunho Jeong , Kyu Sung Choi , Hyeonjin Kim

The cost of simulator evaluations is a key practical bottleneck for Simulation Based Inference (SBI). In hierarchical settings with shared global parameters and exchangeable site-level parameters and observations, this structure can be…

Machine Learning · Computer Science 2026-04-23 Giovanni Charles , Cosmo Santoni , Seth Flaxman , Elizaveta Semenova

We introduce two synthetic likelihood methods for Simulation-Based Inference (SBI), to conduct either amortized or targeted inference from experimental observations when a high-fidelity simulator is available. Both methods learn a…

Machine Learning · Computer Science 2023-04-19 Pierre Glaser , Michael Arbel , Samo Hromadka , Arnaud Doucet , Arthur Gretton

Stochastic differential equations provide a rich class of flexible generative models, capable of describing a wide range of spatio-temporal processes. A host of recent work looks to learn data-representing SDEs, using neural networks and…

Machine Learning · Statistics 2021-10-12 Scott Cameron , Tyron Cameron , Arnu Pretorius , Stephen Roberts

We present extensive empirical evidence showing that current Bayesian simulation-based inference algorithms can produce computationally unfaithful posterior approximations. Our results show that all benchmarked algorithms -- (Sequential)…

Machine Learning · Statistics 2022-12-06 Joeri Hermans , Arnaud Delaunoy , François Rozet , Antoine Wehenkel , Volodimir Begy , Gilles Louppe

Across many domains of science, stochastic models are an essential tool to understand the mechanisms underlying empirically observed data. Models can be of different levels of detail and accuracy, with models of high-fidelity (i.e., high…