32 citations · 69 across the 20 of their papers we have counts for
5 papers · 1 filter
A Random Matrix Perspective on Mixtures of Nonlinearities for Deep Learning
Ben Adlam, Jake Levinson, Jeffrey Pennington
One of the distinguishing characteristics of modern deep learning systems is that they typically employ neural network architectures that utilize enormous numbers of parameters, of…
Class groups of open Richardson varieties in the Grassmannian are trivial
Jake Levinson, Kevin Purbhoo
We prove that the divisor class group of any open Richardson variety in the Grassmannian is trivial. Our proof uses Nagata's criterion, localizing the coordinate ring at a suitable…
A topological proof of the Shapiro-Shapiro conjecture
Jake Levinson, Kevin Purbhoo
We prove a generalization of the Shapiro-Shapiro conjecture on Wronskians of polynomials, allowing the Wronskian to have complex conjugate roots. We decompose the real Schubert cel…
Latent feature disentanglement for 3D meshes
Jake Levinson, Avneesh Sud, Ameesh Makadia
Generative modeling of 3D shapes has become an important problem due to its relevance to many applications across Computer Vision, Graphics, and VR. In this paper we build upon rec…
Schubert curves in the orthogonal Grassmannian
Maria Gillespie, Jake Levinson, Kevin Purbhoo
We develop a combinatorial rule to compute the real geometry of type B Schubert curves in the orthogonal Grassmannian , which are one-dimensional Schu…