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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

The properties of high-redshift sub-millimetre galaxies (SMGs) remain controversial within hierarchical structure formation models. We revisit whether a top-heavy stellar initial mass function (IMF) in starbursts is required to reproduce…

Astrophysics of Galaxies · Physics 2025-11-18 Edward Elliott , C. M. Baugh , Cedric Lacey

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

We introduce a framework for inference in general state-space hidden Markov models (HMMs) under likelihood misspecification. In particular, we leverage the loss-theoretic perspective of Generalized Bayesian Inference (GBI) to define…

Methodology · Statistics 2020-10-22 Ayman Boustati , Ömer Deniz Akyildiz , Theodoros Damoulas , Adam M. Johansen

Simulation-based inference (SBI) offers a flexible and general approach to performing Bayesian inference: In SBI, a neural network is trained on synthetic data simulated from a model and used to rapidly infer posterior distributions for…

Machine Learning · Computer Science 2025-10-28 Julius Vetter , Manuel Gloeckler , Daniel Gedon , Jakob H. Macke

Dating stars is a major challenge with a deep impact on many astrophysical fields. One of the most promising techniques for this is using chemical abundances. Recent space- and ground-based facilities have improved the quantity of stars…

Solar and Stellar Astrophysics · Physics 2022-04-20 A. Moya , L. M. Sarro , E. Delgado-Mena , W. J. Chaplin , V. Adibekyan , S. Blanco-Cuaresma

Simulation-based inference (SBI) enables amortized Bayesian inference for simulators with implicit likelihoods. But when we are primarily interested in the quality of predictive simulations, or when the model cannot exactly reproduce the…

Machine Learning · Statistics 2023-11-03 Richard Gao , Michael Deistler , Jakob H. Macke

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

A growing family of approaches to causal inference rely on Bayesian formulations of assumptions that go beyond causal graph structure. For example, Bayesian approaches have been developed for analyzing instrumental variable designs,…

Machine Learning · Computer Science 2022-11-01 Sam Witty , David Jensen , Vikash Mansinghka

Standard analytical chemical evolution modelling of galaxies has been assuming the stellar initial mass function (IMF) to be invariant and fully sampled allowing fractions of massive stars to contribute even in dwarf galaxies with very low…

Astrophysics of Galaxies · Physics 2015-06-23 S. Recchi , P. Kroupa

In this work we explore the effects of adopting initial mass functions (IMFs) variable in time on the chemical evolution of the Galaxy. In order to do that we adopt a chemical evolution model which assumes two main infall episodes for the…

Astrophysics · Physics 2009-10-31 Cristina Chiappini , Francesca Matteucci , Paolo Padoan

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) 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

Identifying tire and vehicle parameters is an essential step in designing control and planning algorithms for autonomous vehicles. This paper proposes a new method: Simulation-Based Inference (SBI), a modern interpretation of Approximate…

Robotics · Computer Science 2021-08-30 Ali Boyali , Simon Thompson , David Robert Wong

Many scientific models are composed of multiple discrete components, and scientists often make heuristic decisions about which components to include. Bayesian inference provides a mathematical framework for systematically selecting model…

Machine Learning · Computer Science 2024-05-31 Cornelius Schröder , Jakob H. Macke

A major challenge in extracting information from current and upcoming surveys of cosmological Large-Scale Structure (LSS) is the limited availability of computationally expensive high-fidelity simulations. We introduce calibrated Neural…

Cosmology and Nongalactic Astrophysics · Physics 2026-04-24 He Jia

We perform a suite of cosmological hydrodynamical simulations of disc galaxies, with zoomed-in initial conditions leading to the formation of a halo of mass $M_{\rm halo, \, DM} \simeq 2 \cdot 10^{12}$ M$_{\odot}$ at redshift $z=0$. These…

Astrophysics of Galaxies · Physics 2019-02-19 Milena Valentini , Stefano Borgani , Alessandro Bressan , Giuseppe Murante , Luca Tornatore , Pierluigi Monaco

We use the OMEGA galactic chemical evolution code to investigate how the assumptions used for the treatment of galactic inflows and outflows impact numerical predictions. The goal is to determine how our capacity to reproduce the chemical…

Astrophysics of Galaxies · Physics 2017-02-01 Benoit Côté , Brian W. O'Shea , Christian Ritter , Falk Herwig , Kim A. Venn

Current constraints on models of galaxy evolution rely on morphometric catalogs extracted from multi-band photometric surveys. However, these catalogs are altered by selection effects that are difficult to model, that correlate in non…

Instrumentation and Methods for Astrophysics · Physics 2017-09-06 Sébastien Carassou , Valérie de Lapparent , Emmanuel Bertin , Damien Le Borgne

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)…

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