#symmetry
6 papers · 1 filter
PhD thesis: Modes, States, and Symmetries in quantum Optics for quantum Information and Metrology
Ãloi Descamps
The thesis develops a unified framework for understanding how photonic mode structures, quantum states, and symmetry properties affect resources in quantum information processing a…
Automorphism-Induced Non-Canonicity in Top-k Explanations of Graph Neural Networks
Xin Xu, Siru Tao, Kaizhen Tan
The paper shows that gradient‑based explainers for graph neural networks can produce arbitrary top‑k edge explanations when the input graph has nontrivial automorphisms, and provid…
SKooP: Symmetric Koopman Predictions for Faster and More Generalizable Legged Robot Locomotion with Reinforcement Learning
Evelyn D'Elia, Weishu Zhan, Giulio Turrisi +5
The paper presents SKooP, a method that integrates morphological symmetries and a learned Koopman model via an autoencoder to provide privileged observations for reinforcement lear…
Existence of maximizers for Fourier extension from the hyperbolic paraboloid
Benjamin Bruce, Diogo Oliveira e Silva, Betsy Stovall
The paper proves that for the Fourier extension operator associated with the three‑dimensional hyperbolic paraboloid, maximizers exist for the inequality and that any…
Symmetry-Informed Deep Learning for Electromagnetic Scattering
Viktor A. Lilja, Philippe Tassin
The paper introduces a symmetry‑aware deep learning framework that uses the equivariance of Maxwell’s equations to create data‑efficient and physically consistent surrogate models…
On Lower Bounds for AND via Torus Polynomials
Vaibhav Krishan, Jayalal Sarma
The paper uses torus polynomial approximations to prove exponential size lower bounds for symmetric CC^0 circuits computing the AND function and provides degree upper bounds for ce…