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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

Bayesian decision theory provides an elegant framework for acting optimally under uncertainty when tractable posterior distributions are available. Modern Bayesian models, however, typically involve intractable posteriors that are…

Machine Learning · Computer Science 2021-06-15 Meet P. Vadera , Soumya Ghosh , Kenney Ng , Benjamin M. Marlin

We seek to achieve the Holy Grail of Bayesian inference for gravitational-wave astronomy: using deep-learning techniques to instantly produce the posterior $p(\theta|D)$ for the source parameters $\theta$, given the detector data $D$. To do…

General Relativity and Quantum Cosmology · Physics 2020-01-31 Alvin J. K. Chua , Michele Vallisneri

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

The determination of the physical parameters of gravitational wave events is a fundamental pillar in the analysis of the signals observed by the current ground-based interferometers. Typically, this is done using Bayesian inference…

General Relativity and Quantum Cosmology · Physics 2023-11-07 M. Andrés-Carcasona , M. Martinez , Ll. M. Mir

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

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

Some of the issues that make sampling parameter spaces of various beyond the Standard Model (BSM) scenarios computationally expensive are the high dimensionality of the input parameter space, complex likelihoods, and stringent experimental…

High Energy Physics - Phenomenology · Physics 2026-02-16 Atrideb Chatterjee , Arghya Choudhury , Sourav Mitra , Arpita Mondal , Subhadeep Mondal

Simulation-based inference with neural posterior estimation (NPE) often yields overconfident and unreliable posteriors under limited simulation budgets. To address this, we propose DRO-NPE, a distributionally robust approach that replaces…

Machine Learning · Statistics 2026-05-28 William Laplante , Yuga Hikida , Charita Dellaporta , François-Xavier Briol , Ayush Bharti

To adopt neural networks in safety critical domains, knowing whether we can trust their predictions is crucial. Bayesian neural networks (BNNs) provide uncertainty estimates by averaging predictions with respect to the posterior weight…

Machine Learning · Computer Science 2021-03-17 Jannik Schmitt , Stefan Roth

Modern approaches for simulation-based inference rely upon deep learning surrogates to enable approximate inference with computer simulators. In practice, the estimated posteriors' computational faithfulness is, however, rarely guaranteed.…

Machine Learning · Statistics 2022-08-30 Arnaud Delaunoy , Joeri Hermans , François Rozet , Antoine Wehenkel , Gilles Louppe

One of the core problems in statistical models is the estimation of a posterior distribution. For topic models, the problem of posterior inference for individual texts is particularly important, especially when dealing with data streams,…

Machine Learning · Statistics 2016-08-18 Khoat Than , Tung Doan

We investigate the robustness of Neural Ratio Estimators (NREs) and Neural Posterior Estimators (NPEs) to distributional shifts in the context of measuring the abundance of dark matter subhalos using strong gravitational lensing data. While…

Cosmology and Nongalactic Astrophysics · Physics 2025-11-11 Andreas Filipp , Yashar Hezaveh , Laurence Perreault-Levasseur

Reliable predictive uncertainty estimation plays an important role in enabling the deployment of neural networks to safety-critical settings. A popular approach for estimating the predictive uncertainty of neural networks is to define a…

Machine Learning · Statistics 2023-12-29 Tim G. J. Rudner , Zonghao Chen , Yee Whye Teh , Yarin Gal

Class imbalance induces systematic bias in deep neural networks by imposing a skewed effective class prior. This work introduces the Neural Prior Estimator (NPE), a framework that learns feature-conditioned log-prior estimates from latent…

Machine Learning · Computer Science 2026-02-23 Masoud Yavari , Payman Moallem

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

In the age of multi-messenger astrophysics, low-latency parameter estimation of gravitational-wave signals is essential for electromagnetic follow-up observations. In this paper, we present a new edition of the Bayesian parameter estimation…

General Relativity and Quantum Cosmology · Physics 2022-01-17 Caitlin A. Rose , Vinaya Valsan , Patrick R. Brady , Sinead Walsh , Chris Pankow

In variational inference, the benefits of Bayesian models rely on accurately capturing the true posterior distribution. We propose using neural samplers that specify implicit distributions, which are well-suited for approximating complex…

Machine Learning · Computer Science 2023-11-10 Anshuk Uppal , Kristoffer Stensbo-Smidt , Wouter Boomsma , Jes Frellsen

Bayesian inference can quantify uncertainty in the predictions of neural networks using posterior distributions for model parameters and network output. By looking at these posterior distributions, one can separate the origin of uncertainty…

Machine Learning · Computer Science 2023-11-23 H. Linander , O. Balabanov , H. Yang , B. Mehlig

In variational inference (VI), an approximation of the posterior distribution is selected from a family of distributions through numerical optimization. With the most common variational objective function, known as the evidence lower bound…

Machine Learning · Statistics 2025-01-15 Declan McNamara , Jackson Loper , Jeffrey Regier