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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…

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…

Machine Learning · Computer Science 2025-03-04 Yogesh Verma , Ayush Bharti , Vikas Garg

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

The BrainScaleS-2 (BSS-2) system implements physical models of neurons as well as synapses and aims for an energy-efficient and fast emulation of biological neurons. When replicating neuroscientific experiments on BSS-2, a major challenge…

Neural and Evolutionary Computing · Computer Science 2023-11-21 Jakob Kaiser , Raphael Stock , Eric Müller , Johannes Schemmel , Sebastian Schmitt

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

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

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

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

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

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 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.…

Machine Learning · Statistics 2025-10-09 Dan Leonte , Raphaël Huser , Almut E. D. Veraart

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

Simulation-Based Inference (SBI) is an approach to statistical inference where simulations from an assumed model are used to construct estimators and confidence sets. SBI is often used when the likelihood is intractable and to construct…

Methodology · Statistics 2025-08-05 Lorenzo Tomaselli , Valérie Ventura , Larry Wasserman

Fourier Neural Operators (FNOs) have proven to be an efficient and effective method for resolution-independent operator learning in a broad variety of application areas across scientific machine learning. A key reason for their success is…

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

Accurate condition monitoring of industrial equipment requires inferring latent degradation parameters from indirect sensor measurements under uncertainty. While traditional Bayesian methods like Markov Chain Monte Carlo (MCMC) provide…

Machine Learning · Computer Science 2026-04-23 Peter Collett , Alexander Johannes Stasik , Simone Casolo , Signe Riemer-Sørensen

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)…

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

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

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