Distinguishing standard and modified gravity cosmologies with machine learning
Austin Peel, Florian Lalande, Jean-Luc Starck, Valeria Pettorino,, Julian Merten, Carlo Giocoli, Massimo Meneghetti, Marco Baldi

TL;DR
This paper introduces a convolutional neural network that effectively classifies standard and modified gravity cosmologies from weak-lensing maps, outperforming traditional methods especially when multiple redshifts are used.
Contribution
The study develops a novel CNN-based approach with data compression to distinguish cosmological models, including those with similar weak-lensing signatures, surpassing conventional statistics.
Findings
CNN outperforms higher-order statistics in model classification
Combining multiple redshifts improves classification accuracy
Method distinguishes models with at least 80% accuracy on noise-free data
Abstract
We present a convolutional neural network to classify distinct cosmological scenarios based on the statistically similar weak-lensing maps they generate. Modified gravity (MG) models that include massive neutrinos can mimic the standard concordance model (CDM) in terms of Gaussian weak-lensing observables. An inability to distinguish viable models that are based on different physics potentially limits a deeper understanding of the fundamental nature of cosmic acceleration. For a fixed redshift of sources, we demonstrate that a machine learning network trained on simulated convergence maps can discriminate between such models better than conventional higher-order statistics. Results improve further when multiple source redshifts are combined. To accelerate training, we implement a novel data compression strategy that incorporates our prior knowledge of the morphology of typical…
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