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Modern simulation-based inference techniques use neural networks to solve inverse problems efficiently. One notable strategy is neural posterior estimation (NPE), wherein a neural network parameterizes a distribution to approximate the…

Instrumentation and Methods for Astrophysics · Physics 2024-03-06 Alex Kolmus , Justin Janquart , Tomasz Baka , Twan van Laarhoven , Chris Van Den Broeck , Tom Heskes

Computer simulations have proven a valuable tool for understanding complex phenomena across the sciences. However, the utility of simulators for modelling and forecasting purposes is often restricted by low data quality, as well as…

Machine Learning · Statistics 2022-10-14 Daniel Ward , Patrick Cannon , Mark Beaumont , Matteo Fasiolo , Sebastian M Schmon

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

Simulation based inference (SBI) methods enable the estimation of posterior distributions when the likelihood function is intractable, but where model simulation is feasible. Popular neural approaches to SBI are the neural posterior…

Machine Learning · Statistics 2024-04-23 Xiaoyu Wang , Ryan P. Kelly , David J. Warne , Christopher Drovandi

Simulation-based inference (SBI) with neural posterior estimation (NPE) provides rapid X-ray spectral fitting in both Gaussian and Poisson regimes by learning approximate parameter posteriors from simulations. We investigate auto-encoders…

Instrumentation and Methods for Astrophysics · Physics 2026-04-22 Didier Barret , Simon Dupourqué

Simulation-based inference (SBI) enables parameter estimation for complex stochastic models with intractable likelihoods when model simulation is feasible. Neural posterior estimation (NPE) is a popular SBI approach that often achieves…

Methodology · Statistics 2026-02-23 Ryan P. Kelly , David T. Frazier , David J. Warne , Christopher C. Drovandi

Sequential neural posterior estimation (SNPE) techniques have been recently proposed for dealing with simulation-based models with intractable likelihoods. Unlike approximate Bayesian computation, SNPE techniques learn the posterior from…

Machine Learning · Statistics 2025-01-17 Yifei Xiong , Xiliang Yang , Sanguo Zhang , Zhijian He

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

Exponential random graph models (ERGMs) are flexible probabilistic frameworks to model statistical networks through a variety of network summary statistics. Conventional Bayesian estimation for ERGMs involves iteratively exchanging with an…

Methodology · Statistics 2025-04-15 Yefeng Fan , Simon White

We present Causal Posterior Estimation (CPE), a novel method for Bayesian inference in simulator models, i.e., models where the evaluation of the likelihood function is intractable or too computationally expensive, but where one can…

Machine Learning · Computer Science 2025-05-28 Simon Dirmeier , Antonietta Mira

We present multimodal neural posterior estimation (MultiNPE), a method to integrate heterogeneous data from different sources in simulation-based inference with neural networks. Inspired by advances in deep fusion, it allows researchers to…

Machine Learning · Computer Science 2024-11-05 Marvin Schmitt , Leona Odole , Stefan T. Radev , Paul-Christian Bürkner

Neural posterior estimation (NPE) and neural likelihood estimation (NLE) are machine learning approaches that provide accurate posterior, and likelihood, approximations in complex modeling scenarios, and in situations where conducting…

Machine Learning · Statistics 2024-11-20 David T. Frazier , Ryan Kelly , Christopher Drovandi , David J. Warne

Retrieving the physical parameters from spectroscopic observations of exoplanets is key to understanding their atmospheric properties. Exoplanetary atmospheric retrievals are usually based on approximate Bayesian inference and rely on…

Earth and Planetary Astrophysics · Physics 2023-04-19 Malavika Vasist , François Rozet , Olivier Absil , Paul Mollière , Evert Nasedkin , Gilles Louppe

Simulation-based inference (SBI) enables amortized Bayesian inference by first training a neural posterior estimator (NPE) on prior-simulator pairs, typically through low-dimensional summary statistics, which can then be cheaply reused for…

Machine Learning · Statistics 2026-02-11 Sherman Khoo , Dennis Prangle , Song Liu , Mark Beaumont

Spatial individual-level models (ILMs) provide a flexible framework for modelling infectious disease transmission across populations with known locations. Bayesian inference for these models relies on Markov chain Monte Carlo (MCMC), which…

Computation · Statistics 2026-05-29 Yicheng Mao , Rob Deardon

Inferring the parameters of a stochastic model based on experimental observations is central to the scientific method. A particularly challenging setting is when the model is strongly indeterminate, i.e. when distinct sets of parameters…

Machine Learning · Statistics 2021-11-10 Pedro L. C. Rodrigues , Thomas Moreau , Gilles Louppe , Alexandre Gramfort

Diagnosing the internal state of Li-ion batteries is critical for battery research, operation of real-world systems, and prognostic evaluation of remaining lifetime. By using physics-based models to perform probabilistic parameter…

Data Analysis, Statistics and Probability · Physics 2026-04-06 Malik Hassanaly , Corey R. Randall , Peter J. Weddle , Paul J. Gasper , Conlain Kelly , Tanvir R. Tanim , Kandler Smith

Reconstructing the structure of thin films and multilayers from measurements of scattered X-rays or neutrons is key to progress in physics, chemistry, and biology. However, finding all structures compatible with reflectometry data is…

Despite the promise of Neural Posterior Estimation (NPE) methods in astronomy, the adaptation of NPE into the routine inference workflow has been slow. We identify three critical issues: the need for custom featurizer networks tailored to…

Instrumentation and Methods for Astrophysics · Physics 2023-12-25 Keming Zhang , Joshua S. Bloom , Stéfan van der Walt , Nina Hernitschek

Stochastic infectious disease models capture uncertainty in public health outcomes and have become increasingly popular in epidemiological practice. However, calibrating these models to observed data is challenging with existing methods for…

Methodology · Statistics 2024-12-18 Prayag Chatha , Fan Bu , Jeffrey Regier , Evan Snitkin , Jon Zelner
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