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09/17/2023
Mitigating Over-Smoothing and Over-Squashing using Augmentations of Forman-Ricci Curvature
While Graph Neural Networks (GNNs) have been successfully leveraged for ...
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07/19/2023
Curvature-based Clustering on Graphs
Unsupervised node clustering (or community detection) is a classical gra...
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07/05/2023
Continuum Limits of Ollivier's Ricci Curvature on data clouds: pointwise consistency and global lower bounds
Let ℳ⊆ℝ^d denote a low-dimensional manifold and let 𝒳= { x_1, …, x_n } b...
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06/10/2023
Augmentations of Forman's Ricci Curvature and their Applications in Community Detection
The notion of curvature on graphs has recently gained traction in the ne...
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12/16/2022
LegalRelectra: Mixed-domain Language Modeling for Long-range Legal Text Comprehension
The application of Natural Language Processing (NLP) to specialized doma...
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08/09/2022
Computing Brascamp-Lieb Constants through the lens of Thompson Geometry
This paper studies algorithms for efficiently computing Brascamp-Lieb co...
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06/22/2022
On a class of geodesically convex optimization problems solved via Euclidean MM methods
We study geodesically convex (g-convex) problems that can be written as ...
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09/21/2021
Identifying biases in legal data: An algorithmic fairness perspective
The need to address representation biases and sentencing disparities in ...
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04/11/2020
Robust Large-Margin Learning in Hyperbolic Space
Recently, there has been a surge of interest in representation learning ...
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10/12/2019
Neighborhood Growth Determines Geometric Priors for Relational Representation Learning
The problem of identifying geometric structure in heterogeneous, high-di...
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10/09/2019
Nonconvex stochastic optimization on manifolds via Riemannian Frank-Wolfe methods
We study stochastic projection-free methods for constrained optimization...
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01/17/2019
The Oracle of DLphi
We present a novel technique based on deep learning and set theory which...
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10/17/2018
Forman's Ricci curvature - From networks to hypernetworks
Networks and their higher order generalizations, such as hypernetworks o...
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07/01/2018