Zobrazeno 1 - 10
of 215
pro vyhledávání: '"Persson, Daniel P."'
In this paper, we develop a manifestly geometric framework for equivariant manifold neural ordinary differential equations (NODEs) and use it to analyse their modelling capabilities for symmetric data. First, we consider the action of a Lie group $G$
Externí odkaz:
http://arxiv.org/abs/2401.14131
Autor:
Carlsson, Oscar, Gerken, Jan E., Linander, Hampus, Spieß, Heiner, Ohlsson, Fredrik, Petersson, Christoffer, Persson, Daniel
High-resolution wide-angle fisheye images are becoming more and more important for robotics applications such as autonomous driving. However, using ordinary convolutional neural networks or vision transformers on this data is problematic due to proje
Externí odkaz:
http://arxiv.org/abs/2307.07313
Autor:
Berg, Marcus, Persson, Daniel
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, with the Siegel-Narain theta function as integration kernel. These the
Externí odkaz:
http://arxiv.org/abs/2212.11957
Autor:
Gerken, Jan E., Carlsson, Oscar, Linander, Hampus, Ohlsson, Fredrik, Petersson, Christoffer, Persson, Daniel
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 known as S2CNNs and standard non-equivariant CNNs trained with an increas
Externí odkaz:
http://arxiv.org/abs/2202.03990
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 $V_1\otimes \bar V_2$, where $V_1, V_2$ are self-dual (super) vertex operator algebr
Externí odkaz:
http://arxiv.org/abs/2107.03507
Autor:
Gerken, Jan E., Aronsson, Jimmy, Carlsson, Oscar, Linander, Hampus, Ohlsson, Fredrik, Petersson, Christoffer, Persson, Daniel
We survey the mathematical foundations of geometric deep learning, focusing on group equivariant and gauge equivariant neural networks. We develop gauge equivariant convolutional neural networks on arbitrary manifolds $\mathcal{M}$ using principal bu
Externí odkaz:
http://arxiv.org/abs/2105.13926
We study some special features of $F_{24}$, the holomorphic $c=12$ superconformal field theory (SCFT) given by 24 chiral free fermions. We construct eight different Lie superalgebras of "physical" states of a chiral superstring compactified on $F_{24
Externí odkaz:
http://arxiv.org/abs/2009.14710
We consider supergravity in five-dimensional Anti-De Sitter space $AdS_{5}$ with minimal supersymmetry, encoded by a Sasaki-Einstein metric on a five-dimensional compact manifold $M$. Our main result reveals how the Sasaki-Einstein metric emerges fro
Externí odkaz:
http://arxiv.org/abs/2008.12004
Autor:
Gourevitch, Dmitry, Gustafsson, Henrik P. A., Kleinschmidt, Axel, Persson, Daniel, Sahi, Siddhartha
We study the question of Eulerianity (factorizability) for Fourier coefficients of automorphic forms, and we prove a general transfer theorem that allows one to deduce the Eulerianity of certain coefficients from that of another coefficient. We also
Externí odkaz:
http://arxiv.org/abs/2004.14244
Autor:
Gourevitch, Dmitry, Gustafsson, Henrik P. A., Kleinschmidt, Axel, Persson, Daniel, Sahi, Siddhartha
In this paper we analyze Fourier coefficients of automorphic forms on a finite cover $G$ of an adelic split simply-laced group. Let $\pi$ be a minimal or next-to-minimal automorphic representation of $G$. We prove that any $\eta\in \pi$ is completely
Externí odkaz:
http://arxiv.org/abs/1908.08296