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Realization of modular Galois representations in the Jacobians of modular curves

open access: yesRamanujan Journal, 2022
In this paper, we propose an improved algorithm for computing mod $\ell$ Galois representations associated to eigenforms of arbitrary levels prime to $\ell$. Precisely, we present a method to find the Jacobians of modular curves which have the smallest possible dimensions in a well-defined sense to realize the modular Galois representations.
exaly   +4 more sources

Modular representation of autoencoder networks

2017 IEEE Symposium Series on Computational Intelligence (SSCI), 2017
An autoencoder (AE) is a nonlinear extension of principal component analysis (PCA). It can extract abstract information about input data with low dimensions by combining multiple dimensions of input data through a layered neural network. A trained AE network can be used in various applications like parameter initialization for another inference ...
Chihiro Watanabe   +2 more
openaire   +1 more source

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