3 papers
cs.LG2025
Generalization through variance: how noise shapes inductive biases in diffusion models
John J. Vastola
How diffusion models generalize beyond their training set is not known, and is somewhat mysterious given two facts: the optimum of the denoising score matching (DSM) objective usua…
q-bio.NC2025
Optimal packing of attractor states in neural representations
John J. Vastola
Animals' internal states reflect variables like their position in space, orientation, decisions, and motor actions -- but how should these internal states be arranged? Internal sta…
cs.LG2025
Dynamical symmetries in the fluctuation-driven regime: an application of Noether's theorem to noisy dynamical systems
John J. Vastola
Noether's theorem provides a powerful link between continuous symmetries and conserved quantities for systems governed by some variational principle. Perhaps unfortunately, most dy…