Week of Events
Javier Gonzalez Anaya (Harvey Mudd College)
Javier Gonzalez Anaya (Harvey Mudd College)
This is the continuation of the semester's joint seminar with the Universidad Nacional de Colombia-Manizales. Title: Enumerating linearity regions of max-pooling layers in convolutional neural networks Abstract: Convolutional neural networks (CNN's) are central tools in the application of machine learning to text, audio and image processing. Their success stems from the ability of these networks to […]
The restricted variable Kakeya problem (Pete Clark, University of Georgia)
The restricted variable Kakeya problem (Pete Clark, University of Georgia)
For a finite field F_q, a subset of F_q^N is a Kakeya set if it contains a line in every direction (i.e., a coset of every one-dimensional linear subspace). The finite field Kakeya problem is to determine the minimal size K(N,q) of a Kakeya set in F_q^N. This problem was posed by Wolff in 1999 as […]
Claremont Topology Seminar: No Seminar
A Group-Theoretic Ax-Katz Theorem (Pete L. Clark, University of Georgia)
A Group-Theoretic Ax-Katz Theorem (Pete L. Clark, University of Georgia)
Title: A Group-Theoretic Ax-Katz Theorem Speaker: Pete L. Clark, University of Georgia Abstract: The Chevalley-Warning Theorem is a result from 1935 asserting that the number of solutions to a low degree polynomial system over a finite field is divisible by the characteristic of the field. It is an important result -- it includes a conjecture […]