127 citations · 684 across the 38 of their papers we have counts for
45 papers
Steerable Neural ODEs on Homogeneous Spaces
Emma Andersdotter, Daniel Persson, Fredrik Ohlsson
We introduce steerable neural ordinary differential equations on homogeneous spaces . These models constitute a novel geometric extension of manifold neural ordinary differe…
The Geometry of Polynomial Group Convolutional Neural Networks
Yacoub Hendi, Daniel Persson, Magdalena Larfors
We study polynomial group convolutional neural networks (PGCNNs) for an arbitrary finite group . In particular, we introduce a new mathematical framework for PGCNNs using the la…
Equivariant Manifold Neural ODEs and Differential Invariants
Emma Andersdotter, Daniel Persson, Fredrik Ohlsson
In this paper, we develop a manifestly geometric framework for equivariant manifold neural ordinary differential equations (NODEs) and use it to analyse their modelling capabilitie…
Massive Theta Lifts
Marcus Berg, Daniel Persson
We use Poincare series for massive Maass-Jacobi forms to define a "massive theta lift", and apply it to the examples of the constant function and the modular invariant j-function,…
Equivariance versus Augmentation for Spherical Images
Jan E. Gerken, Oscar Carlsson, Hampus Linander +3
We analyze the role of rotational equivariance in convolutional neural networks (CNNs) applied to spherical images. We compare the performance of the group equivariant networks kno…
BPS Algebras in 2D String Theory
Sarah M. Harrison, Natalie M. Paquette, Daniel Persson +1
We discuss a set of heterotic and type II string theory compactifications to 1+1 dimensions that are characterized by factorized internal worldsheet CFTs of the form $V_1\otimes \b…