[PDF][PDF] Position: Topological Deep Learning is the New Frontier for Relational Learning
T Papamarkou, T Birdal, M Bronstein… - ar** methods to process irregularly structured data is crucial in applications like gene-
regulatory, brain, power, and socioeconomic networks. Graphs have been the go-to …
regulatory, brain, power, and socioeconomic networks. Graphs have been the go-to …
Attending to Topological Spaces: The Cellular Transformer
Topological Deep Learning seeks to enhance the predictive performance of neural network
models by harnessing topological structures in input data. Topological neural networks …
models by harnessing topological structures in input data. Topological neural networks …
Categorical Diffusion of Weighted Lattices
We introduce a categorical formalization of diffusion, motivated by data science and
information dynamics. Central to our construction is the Lawvere Laplacian, an endofunctor …
information dynamics. Central to our construction is the Lawvere Laplacian, an endofunctor …