8 papers
Function graph transformers universally approximate operators between function spaces
Takashi Furuya, David Mis, Ivan DokmaniÄ +2
We study the approximation of nonlinear operators between function spaces by transformers. Our approach is to lift functions to measures supported on their graphs and leverage a re…
On Observation Time for Recovering Latent Hawkes Networks
Jonas Linkerhägner, Michele Bortolasi, Lorenzo Baldassari +2
Dynamics of interacting systems in engineering, society, and nature often evolve over latent networks that govern which entities can interact. We study the problem of inferring the…
Spring-block theory of feature learning in deep neural networks
Cheng Shi, Liming Pan, Ivan DokmaniÄ
Feature-learning deep nets progressively collapse data to a regular low-dimensional geometry. How this emerges from the collective action of nonlinearity, noise, learning rate, and…
Glimpse: Generalized Locality for Scalable and Robust CT
AmirEhsan Khorashadizadeh, Valentin Debarnot, Tianlin Liu +1
Deep learning has become the state-of-the-art approach to medical tomographic imaging. A common approach is to feed the result of a simple inversion, for example the backprojection…
Joint Graph Rewiring and Feature Denoising via Spectral Resonance
Jonas Linkerhägner, Cheng Shi, Ivan DokmaniÄ
When learning from graph data, the graph and the node features both give noisy information about the node labels. In this paper we propose an algorithm to jointly denoise the featu…
Ice-Tide: Implicit Cryo-ET Imaging and Deformation Estimation
Valentin Debarnot, Vinith Kishore, Ricardo D. Righetto +1
We introduce ICE-TIDE, a method for cryogenic electron tomography (cryo-ET) that simultaneously aligns observations and reconstructs a high-resolution volume. The alignment of tilt…