Melanie Weber | DeepAI

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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 ...

0 Lukas Fesser, et al. ∙

∙ 07/19/2023

Curvature-based Clustering on Graphs

Unsupervised node clustering (or community detection) is a classical gra...

0 Yu Tian, et al. ∙

∙ 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...

0 Nicolas Garcia Trillos, et al. ∙

∙ 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...

0 Lukas Fesser, et al. ∙

∙ 12/16/2022

LegalRelectra: Mixed-domain Language Modeling for Long-range Legal Text Comprehension

The application of Natural Language Processing (NLP) to specialized doma...

0 Wenyue Hua, et al. ∙

∙ 08/09/2022

Computing Brascamp-Lieb Constants through the lens of Thompson Geometry

This paper studies algorithms for efficiently computing Brascamp-Lieb co...

0 Melanie Weber, et al. ∙

∙ 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 ...

0 Suvrit Sra, et al. ∙

∙ 09/21/2021

Identifying biases in legal data: An algorithmic fairness perspective

The need to address representation biases and sentencing disparities in ...

0 Jackson Sargent, et al. ∙

∙ 04/11/2020

Robust Large-Margin Learning in Hyperbolic Space

Recently, there has been a surge of interest in representation learning ...

12 Melanie Weber, et al. ∙

∙ 10/12/2019

Neighborhood Growth Determines Geometric Priors for Relational Representation Learning

The problem of identifying geometric structure in heterogeneous, high-di...

0 Melanie Weber, et al. ∙

∙ 10/09/2019

Nonconvex stochastic optimization on manifolds via Riemannian Frank-Wolfe methods

We study stochastic projection-free methods for constrained optimization...

0 Melanie Weber, et al. ∙

∙ 01/17/2019

The Oracle of DLphi

We present a novel technique based on deep learning and set theory which...

0 Weston Baines, et al. ∙

∙ 10/17/2018

Forman's Ricci curvature - From networks to hypernetworks

Networks and their higher order generalizations, such as hypernetworks o...

0 Emil Saucan, et al. ∙

∙ 07/01/2018

Heuristic Framework for Multi-Scale Testing of the Multi-Manifold Hypothesis

When analyzing empirical data, we often find that global linear models o...

4 F. Patricia Medina, et al. ∙

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