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08/18/2023
Random Walks, Conductance, and Resistance for the Connection Graph Laplacian
We investigate the concept of effective resistance in connection graphs,...
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02/16/2023
Distances for Markov Chains, and Their Differentiation
(Directed) graphs with node attributes are a common type of data in vari...
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02/14/2023
Understanding Oversquashing in GNNs through the Lens of Effective Resistance
Message passing graph neural networks are popular learning architectures...
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02/07/2023
A generalization of the persistent Laplacian to simplicial maps
The graph Laplacian is a fundamental object in the analysis of and optim...
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02/01/2023
The Weisfeiler-Lehman Distance: Reinterpretation and Connection with GNNs
In this paper, we present a novel interpretation of the so-called Weisfe...
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10/31/2022
The Numerical Stability of Hyperbolic Representation Learning
Given the exponential growth of the volume of the ball w.r.t. its radius...
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02/05/2022
Weisfeiler-Lehman meets Gromov-Wasserstein
The Weisfeiler-Lehman (WL) test is a classical procedure for graph isomo...
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10/07/2021
The Gromov-Hausdorff distance between ultrametric spaces: its structure and computation
The Gromov-Hausdorff distance (d_GH) provides a natural way of quantifyi...
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12/04/2020
Persistent Laplacians: properties, algorithms and implications
The combinatorial graph Laplacian has been a fundamental object in the a...
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06/21/2020
The Gaussian Transform
We introduce the Gaussian transform (GT), an optimal transport inspired ...
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10/17/2018