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Deep learning models have been shown to outperform methods that rely on summary statistics, like the power spectrum, in extracting information from complex cosmological data sets. However, due to differences in the subgrid physics…

Cosmology and Nongalactic Astrophysics · Physics 2024-04-16 Andrea Roncoli , Aleksandra Ćiprijanović , Maggie Voetberg , Francisco Villaescusa-Navarro , Brian Nord

To efficiently probe primordial non-Gaussianity using Cosmic Microwave Background (CMB) data, we require theoretical predictions that are factorizable, \textit{i.e.}\ those whose kinematic dependence can be separated. This property does not…

Cosmology and Nongalactic Astrophysics · Physics 2025-11-25 Oliver H. E. Philcox , Kunhao Zhong , Salvatore Samuele Sirletti

Simulation-based inference (SBI) is rapidly establishing itself as a standard machine learning technique for analyzing data in cosmological surveys. Despite continual improvements to the quality of density estimation by learned models,…

Cosmology and Nongalactic Astrophysics · Physics 2023-03-03 Pablo Lemos , Miles Cranmer , Muntazir Abidi , ChangHoon Hahn , Michael Eickenberg , Elena Massara , David Yallup , Shirley Ho

Some statistical models are specified via a data generating process for which the likelihood function cannot be computed in closed form. Standard likelihood-based inference is then not feasible but the model parameters can be inferred by…

Computation · Statistics 2015-02-20 Michael U. Gutmann , Jukka Corander , Ritabrata Dutta , Samuel Kaski

We train graph neural networks to perform field-level likelihood-free inference using galaxy catalogs from state-of-the-art hydrodynamic simulations of the CAMELS project. Our models are rotational, translational, and permutation invariant…

This paper presents the Learning the Universe Implicit Likelihood Inference (LtU-ILI) pipeline, a codebase for rapid, user-friendly, and cutting-edge machine learning (ML) inference in astrophysics and cosmology. The pipeline includes…

Bayesian parameter inference for complex stochastic simulators is challenging due to intractable likelihood functions. Existing simulation-based inference methods often require large number of simulations and become costly to use in…

Machine Learning · Computer Science 2026-04-06 Vasilis Gkolemis , Christos Diou , Michael U. Gutmann

Generalized linear mixed models are useful in studying hierarchical data with possibly non-Gaussian responses. However, the intractability of likelihood functions poses challenges for estimation. We develop a new method suitable for this…

Methodology · Statistics 2022-01-26 Zexi Song , Zhiqiang Tan

Inference in log-linear models scales linearly in the size of output space in the worst-case. This is often a bottleneck in natural language processing and computer vision tasks when the output space is feasibly enumerable but very large.…

Machine Learning · Computer Science 2017-07-12 Stephen Mussmann , Daniel Levy , Stefano Ermon

We propose a novel approach using neural networks (NNs) to differentiate between cosmological models, and implemented LIME as an interpretability approach to identify the key features influencing our model's decisions. We show the potential…

Cosmology and Nongalactic Astrophysics · Physics 2025-02-03 Indira Ocampo , George Alestas , Savvas Nesseris , Domenico Sapone

This paper, which is Part 1 of a two-part paper series, considers a simulation-based inference with learned summary statistics, in which such a learned summary statistic serves as an empirical-likelihood with ameliorative effects in the…

Machine Learning · Statistics 2026-02-02 Getachew K. Befekadu

Non-linear and non-Gaussian signal inference problems are difficult to tackle. Renormalization techniques permit us to construct good estimators for the posterior signal mean within information field theory (IFT), but the approximations and…

Instrumentation and Methods for Astrophysics · Physics 2015-05-18 Torsten A. Ensslin , Cornelius Weig

Weak lensing maps contain information beyond two-point statistics on small scales. Much recent work has tried to extract this information through a range of different observables or via nonlinear transformations of the lensing field. Here…

Cosmology and Nongalactic Astrophysics · Physics 2018-05-23 Arushi Gupta , José Manuel Zorrilla Matilla , Daniel Hsu , Zoltán Haiman

We propose an intuitive, machine-learning approach to multiparameter inference, dubbed the InferoStatic Networks (ISN) method, to model the score and likelihood ratio estimators in cases when the probability density can be sampled but not…

Machine Learning · Statistics 2023-02-06 Kyoungchul Kong , Konstantin T. Matchev , Stephen Mrenna , Prasanth Shyamsundar

We present a method to transform multivariate unimodal non-Gaussian posterior probability densities into approximately Gaussian ones via non-linear mappings, such as Box--Cox transformations and generalisations thereof. This permits an…

Cosmology and Nongalactic Astrophysics · Physics 2016-06-14 Robert L. Schuhmann , Benjamin Joachimi , Hiranya V. Peiris

This article presents a Bayesian inferential method where the likelihood for a model is unknown but where data can easily be simulated from the model. We discretize simulated (continuous) data to estimate the implicit likelihood in a…

We develop a generally applicable full-information inference method for heterogeneous agent models, combining aggregate time series data and repeated cross sections of micro data. To handle unobserved aggregate state variables that affect…

Econometrics · Economics 2024-11-19 Laura Liu , Mikkel Plagborg-Møller

Covariance matrices are important tools for obtaining reliable parameter constraints. Advancements in cosmological surveys lead to larger data vectors and, consequently, increasingly complex covariance matrices, whose number of elements…

Cosmology and Nongalactic Astrophysics · Physics 2022-05-31 Tassia Ferreira , Valerio Marra

We propose a novel approach to perform approximate Bayesian inference in complex models such as Bayesian neural networks. The approach is more scalable to large data than Markov Chain Monte Carlo, it embraces more expressive models than…

Machine Learning · Statistics 2022-09-07 Joel Janek Dabrowski , Daniel Edward Pagendam

Implicit solvent models (ISMs) promise to deliver the accuracy of explicit solvent simulations at a fraction of the computational cost. However, despite decades of development, their accuracy has remained insufficient for many critical…

Biological Physics · Physics 2026-03-26 Justin Airas , Bin Zhang