Interpreting convolutional neural networks' low-dimensional approximation to quantum spin systems by Yilong Ju, Shah Saad Alam, Jonathan Minoff, Fabio Anselmi, Han Pu, Ankit Patel

“…In this work, we use methodologies from information theory, group theory and machine learning, to elucidate how CNN captures relevant physics of quantum systems. …”
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IMPACTS OF INTERNAL PARTY DEMOCRACY ON PERFORMANCE OF ALL PROGRESSIVE CONGRESS IN THE 2023 GENERAL ELECTIONS IN NIGERIA by IBRAHIM NUAIMU DANBALA, CELESTINE OGECHUKWU OKAFOR

“…The study also utilized the group theory as it theoretical framework for analysis. …”
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Secret sharing in a special linear group by V. I. Yanchevskiĭ, I. A. Havarushka, G. V. Matveev

“…The development of a scheme on a new mathematical basis is intended to expand the list of these configurations, which creates more opportunities for the user in choosing the optimal option.Methods. Group theory, modular arithmetic and theory of secret sharing schemes are used.Results. …”
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Extensive composable entropy for the analysis of cosmological data by Constantino Tsallis, Henrik Jeldtoft Jensen

“…An entropy is composable if it satisfies that the entropy SA of a system A=B×C consisting of two statistically independent parts B and C is given in a consistent way as SA=Φ(SB,SC) where the composition function Φ(x,y) is obtained from group-theory.We further show that (α,γ)=(1,2/3) satisfactorily agrees with cosmological data measuring neutrinos, Big Bang nucleosynthesis and the relic abundance of cold dark matter particles, as well as dynamical and geometrical cosmological data sets.…”
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