4 papers
Murmurations, Mestre--Nagao sums, and Convolutional Neural Networks for elliptic curves
Joanna Bieri, Edgar Costa, Alyson Deines +5
We apply one-dimensional convolutional neural networks to the Frobenius traces of elliptic curves over and evaluate and interpret their predictive capacity. In keeping…
Machine learning the vanishing order of rational L-functions
Joanna Bieri, Giorgi Butbaia, Edgar Costa +6
In this paper, we study the vanishing order of rational -functions from a data scientific perspective. Each -function is represented in our data by finitely many Dirichlet co…
Learning Fricke signs from Maass form Coefficients
Joanna Bieri, Giorgi Butbaia, Edgar Costa +6
In this paper, we conduct a data-scientific investigation of Maass forms. We find that averaging the Fourier coefficients of Maass forms with the same Fricke sign reveals patterns…
Biased Binary Attribute Classifiers Ignore the Majority Classes
Xinyi Zhang, Johanna Sophie Bieri, Manuel Günther
To visualize the regions of interest that classifiers base their decisions on, different Class Activation Mapping (CAM) methods have been developed. However, all of these technique…