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Model parameter inference is a universal problem across science. This challenge is particularly pronounced in developmental biology, where faithful mechanistic descriptions require spatial-stochastic models with numerous parameters, yet…

Biological Physics · Physics 2024-07-16 Michael A. Ramirez-Sierra , Thomas R. Sokolowski

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

Bayesian statistical inference loses predictive optimality when generative models are misspecified. Working within an existing coherent loss-based generalisation of Bayesian inference, we show existing Modular/Cut-model inference is…

Methodology · Statistics 2026-05-18 Chris U. Carmona , Geoff K. Nicholls

We study the benefit of modern simulation-based inference to constrain particle interactions at the LHC. We explore ways to incorporate known physics structures into likelihood estimation, specifically morphing-aware estimation and…

High Energy Physics - Phenomenology · Physics 2025-10-01 Henning Bahl , Victor Bresó , Giovanni De Crescenzo , Tilman Plehn

Likelihood-free Bayesian inference algorithms are popular methods for calibrating the parameters of complex, stochastic models, required when the likelihood of the observed data is intractable. These algorithms characteristically rely…

Computation · Statistics 2021-12-23 Thomas P Prescott , David J Warne , Ruth E Baker

Likelihood-free inference is quickly emerging as a powerful tool to perform fast/effective parameter estimation. We demonstrate a technique of optimizing likelihood-free inference to make it even faster by marginalizing symmetries in a…

Machine Learning · Computer Science 2023-12-14 Deep Chatterjee , Philip C. Harris , Maanas Goel , Malina Desai , Michael W. Coughlin , Erik Katsavounidis

In this paper we present an algorithm for rapid Bayesian analysis that combines the benefits of nested sampling and artificial neural networks. The blind accelerated multimodal Bayesian inference (BAMBI) algorithm implements the MultiNest…

Instrumentation and Methods for Astrophysics · Physics 2012-03-12 Philip Graff , Farhan Feroz , Michael P. Hobson , Anthony Lasenby

We introduce a novel combination of Bayesian Models (BMs) and Neural Networks (NNs) for making predictions with a minimum expected risk. Our approach combines the best of both worlds, the data efficiency and interpretability of a BM with…

Machine Learning · Computer Science 2021-09-28 Mathias Löwe , Per Lunnemann Hansen , Sebastian Risi

Multivariate probit models (MPM) have the appealing feature of capturing some of the dependence structure between the components of multidimensional binary responses. The key for the dependence modelling is the covariance matrix of an…

Methodology · Statistics 2013-11-15 Giusi Moffa , Jack Kuipers

Selective inference aims at providing valid inference after a data-driven selection of models or hypotheses. It is essential to avoid overconfident results and replicability issues. While significant advances have been made in this area for…

Methodology · Statistics 2025-03-14 Matteo D'Alessandro , Magne Thoresen

Likelihood-free inference methods based on neural conditional density estimation were shown to drastically reduce the simulation burden in comparison to classical methods such as ABC. When applied in the context of any latent variable…

Machine Learning · Statistics 2024-05-06 Sanmitra Ghosh , Paul J. Birrell , Daniela De Angelis

Energy-based models (EBM) have become increasingly popular within computer vision. EBMs bring a probabilistic approach to training deep neural networks (DNN) and have been shown to enhance performance in areas such as calibration,…

Machine Learning · Computer Science 2023-04-05 Jacob Piland , Christopher Sweet , Priscila Saboia , Charles Vardeman , Adam Czajka

Scientists and engineers employ stochastic numerical simulators to model empirically observed phenomena. In contrast to purely statistical models, simulators express scientific principles that provide powerful inductive biases, improve…

Unmeasured covariates constitute one of the important problems in causal inference. Even if there are some unmeasured covariates, some instrumental variable methods such as a two-stage residual inclusion (2SRI) estimator, or a…

Methodology · Statistics 2021-12-30 Shunichiro Orihara

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

Maximum likelihood estimation of energy-based models is a challenging problem due to the intractability of the log-likelihood gradient. In this work, we propose learning both the energy function and an amortized approximate sampling…

Machine Learning · Computer Science 2019-05-29 Rithesh Kumar , Sherjil Ozair , Anirudh Goyal , Aaron Courville , Yoshua Bengio

Synthetic likelihood (SL) is a strategy for parameter inference when the likelihood function is analytically or computationally intractable. In SL, the likelihood function of the data is replaced by a multivariate Gaussian density over…

Methodology · Statistics 2022-02-21 Umberto Picchini , Umberto Simola , Jukka Corander

Energy based models (EBMs) are appealing due to their generality and simplicity in likelihood modeling, but have been traditionally difficult to train. We present techniques to scale MCMC based EBM training on continuous neural networks,…

Machine Learning · Computer Science 2020-07-01 Yilun Du , Igor Mordatch

We present Sequential Neural Likelihood (SNL), a new method for Bayesian inference in simulator models, where the likelihood is intractable but simulating data from the model is possible. SNL trains an autoregressive flow on simulated data…

Machine Learning · Statistics 2019-01-23 George Papamakarios , David C. Sterratt , Iain Murray

Likelihood-free methods perform parameter inference in stochastic simulator models where evaluating the likelihood is intractable but sampling synthetic data is possible. One class of methods for this likelihood-free problem uses a…

Machine Learning · Statistics 2020-12-21 Conor Durkan , Iain Murray , George Papamakarios
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