4 papers · 1 filter
Permutation-Invariant Spectral Learning via Dyson Diffusion
Tassilo Schwarz, Cai Dieball, Constantin Kogler +4
Diffusion models are central to generative modeling and have been adapted to graphs by diffusing adjacency matrix representations. The challenge of having up to such represent…
Polynomial Tail Decay for Stationary Measures
Samuel Kittle, Constantin Kogler
We show on complete metric spaces a polynomial tail decay for stationary measures of contracting on average generating measures.
Dimension of contracting on average self-similar measures
Samuel Kittle, Constantin Kogler
We generalise Hochman's theorem on the dimension of self-similar measures to contracting on average measures and show that a weaker condition than exponential separation on all sca…
Entropy Theory for Random Walks on Lie Groups
Samuel Kittle, Constantin Kogler
We develop entropy and variance results for the product of independent identically distributed random variables on Lie groups. Our results apply to the study of stationary measures…