4 citations · 10 across the 9 of their papers we have counts for
9 papers
Haldane Bundles: A Dataset for Learning to Predict the Chern Number of Line Bundles on the Torus
Cody Tipton, Elizabeth Coda, Davis Brown +5
Characteristic classes, which are abstract topological invariants associated with vector bundles, have become an important notion in modern physics with surprising real-world conse…
ColMix -- A Simple Data Augmentation Framework to Improve Object Detector Performance and Robustness in Aerial Images
Cuong Ly, Grayson Jorgenson, Dan Rosa de Jesus +3
In the last decade, Convolutional Neural Network (CNN) and transformer based object detectors have achieved high performance on a large variety of datasets. Though the majority of…
Internal Representations of Vision Models Through the Lens of Frames on Data Manifolds
Henry Kvinge, Grayson Jorgenson, Davis Brown +2
While the last five years have seen considerable progress in understanding the internal representations of deep learning models, many questions remain. This is especially true when…
In What Ways Are Deep Neural Networks Invariant and How Should We Measure This?
Henry Kvinge, Tegan H. Emerson, Grayson Jorgenson +3
It is often said that a deep learning model is "invariant" to some specific type of transformation. However, what is meant by this statement strongly depends on the context in whic…
Testing predictions of representation cost theory with CNNs
Charles Godfrey, Elise Bishoff, Myles Mckay +4
It is widely acknowledged that trained convolutional neural networks (CNNs) have different levels of sensitivity to signals of different frequency. In particular, a number of empir…
Automorphism loci for degree 3 and degree 4 endomorphisms of the projective line
Brandon Gontmacher, Benjamin Hutz, Grayson Jorgenson +2
Let be an endomorphism of the projective line. There is a natural conjugation action on the space of such morphisms by elements of the projective linear group. The group of aut…
Secant indices of projective varieties
Grayson Jorgenson
To each subvariety in projective -space of codimension we associate an integer sequence of length from to the degree of recording the maximal cardinaliti…
A relative Segre zeta function
Grayson Jorgenson
The choice of a homogeneous ideal in a polynomial ring defines a closed subscheme in a projective space as well as an infinite sequence of cones over in progressively highe…
Linear recurrence sequences and the duality defect conjecture
Grayson Jorgenson
It is conjectured that the dual variety of every smooth nonlinear subvariety of dimension in projective -space is a hypersurface, an expectation known as the du…