4 papers
The KnotMosaics Package for SageMath
Mary Y. Deng, Allison K. Henrich, Sean H. Kawano +1
We introduce KnotMosaics, a SageMath package for constructing, visualizing, and analyzing knot mosaic diagrams. The package represents an n-mosaic as a matrix of standard tile labe…
Taming Wild Knots with Mosaics
Mary Y. Deng, Allison K. Henrich, Sean H. Kawano +1
Wild knots--knots with infinite knotting behavior--have resisted traditional methods of knot classification, making them more of a curiosity in topology than a subject of sustained…
A tropical framework for using Porteous formula
Andrew R. Tawfeek
Given a rational polyhedral space (a tropical cycle with boundary, in the sense of Mikhalkin--Rau), one can define tropical vector bundles on having real or tropical fibers…
Topological Signatures of ReLU Neural Network Activation Patterns
Vicente Bosca, Tatum Rask, Sunia Tanweer +2
This paper explores the topological signatures of ReLU neural network activation patterns. We consider feedforward neural networks with ReLU activation functions and analyze the po…