no code implementations • 29 Sep 2022 • Laura Escobar, Patricio Gallardo, Javier González-Anaya, José L. González, Guido Montúfar, Alejandro H. Morales
We investigate the combinatorics of max-pooling layers, which are functions that downsample input arrays by taking the maximum over shifted windows of input coordinates, and which are commonly used in convolutional neural networks.
no code implementations • 11 Feb 2021 • Alejandro H. Morales, William Shi
The Chan-Robbins-Yuen (CRY) polytope is a flow polytope with normalized volume equal to the product of consecutive Catalan numbers.
Combinatorics 05A15, 05A19, 52B05, 52A38 (Primary), 05C20, 05C21, 52B11 (Secondary)
