806 citations · 852 across the 16 of their papers we have counts for
21 papers
On the atomic decomposition of complete intersection in flag varieties
Boris Alexeev, Leonardo F. Cavenaghi, Giovane Galindo +3
We develop a root-theoretic localization formalism for genus-zero Gromov--Witten invariants of flag varieties and of smooth zero loci of globally generated homogeneous vector bundl…
Combining expert knowledge and neural networks to model environmental stresses in agriculture
Kostadin Cvejoski, Jannis Schuecker, Anne-Katrin Mahlein +1
In this work we combine representation learning capabilities of neural network with agricultural knowledge from experts to model environmental heat and drought stresses. We first d…
On the Impact of Stable Ranks in Deep Nets
Bogdan Georgiev, Lukas Franken, Mayukh Mukherjee +1
A recent line of work has established intriguing connections between the generalization/compression properties of a deep neural network (DNN) model and the so-called layer weights'…
Some applications of heat flow to Laplace eigenfunctions
Bogdan Georgiev, Mayukh Mukherjee
We consider mass concentration properties of Laplace eigenfunctions , that is, smooth functions satisfying the equation , on a smooth closed Riemannian manifold.…
A prior-based approximate latent Riemannian metric
Georgios Arvanitidis, Bogdan Georgiev, Bernhard Schölkopf
Stochastic generative models enable us to capture the geometric structure of a data manifold lying in a high dimensional space through a Riemannian metric in the latent space. Howe…
On Dirichlet eigenvalues of regular polygons
David Berghaus, Bogdan Georgiev, Hartmut Monien +1
We prove that the first Dirichlet eigenvalue of a regular -gon of area has an asymptotic expansion of the form as , where $λ_…