Melanie Weber

CoRR, September, 2025

Bispectral OT: Dataset Comparison using Symmetry-Aware Optimal Transport.

[BibT_eX]

[DOI]

CoRR, September, 2025

On a Geometry of Interbrain Networks.

[BibT_eX]

[DOI]

Nicolás Hinrichs

Noah Guzmán

Suriyanarayanan Vaikuntanathan

CoRR, September, 2025

The Future of Artificial Intelligence and the Mathematical and Physical Sciences (AI+MPS).

[BibT_eX]

[DOI]

Nicolás García Trillos

Cecilia Garraffo

Robert Ghrist

Rafael Gómez-Bombarelli

Aggelos K. Katsaggelos

Christopher Rackauckas

René Vidal

Francisco Villaescusa-Navarro

Yaroslava G. Yingling

CoRR, September, 2025

Automated Manifold Learning for Reduced Order Modeling.

[BibT_eX]

[DOI]

Imran Nasim

CoRR, June, 2025

Position: Beyond Euclidean - Foundation Models Should Embrace Non-Euclidean Geometries.

[BibT_eX]

[DOI]

CoRR, April, 2025

Shared Global and Local Geometry of Language Model Embeddings.

[BibT_eX]

[DOI]

CoRR, March, 2025

Performance Heterogeneity in Graph Neural Networks: Lessons for Architecture Design and Preprocessing.

[BibT_eX]

[DOI]

CoRR, March, 2025

Enhancing the Utility of Higher-Order Information in Relational Learning.

[BibT_eX]

[DOI]

Raphael Pellegrin

CoRR, February, 2025

Geometric Machine Learning.

[BibT_eX]

[DOI]

AI Mag., 2025

Towards Non-Euclidean Foundation Models: Advancing AI Beyond Euclidean Frameworks.

[BibT_eX]

[DOI]

Proceedings of the Companion Proceedings of the ACM on Web Conference 2025, 2025

Lie Algebra Canonicalization: Equivariant Neural Operators under arbitrary Lie Groups.

[BibT_eX]

[DOI]

Carola-Bibiane Schönlieb

Proceedings of the Thirteenth International Conference on Learning Representations, 2025

2024

Graph Pooling via Ricci Flow.

[BibT_eX]

[DOI]

Amy Feng

Trans. Mach. Learn. Res., 2024

Structured Regularization for Constrained Optimization on the SPD Manifold.

[BibT_eX]

[DOI]

Andrew Cheng

CoRR, 2024

Disciplined Geodesically Convex Programming.

[BibT_eX]

[DOI]

Andrew Cheng

Vaibhav Dixit

CoRR, 2024

Hardness of Learning Neural Networks under the Manifold Hypothesis.

[BibT_eX]

[DOI]

Bobak T. Kiani

Jason Wang

Proceedings of the Advances in Neural Information Processing Systems 38: Annual Conference on Neural Information Processing Systems 2024, 2024

Unitary Convolutions for Learning on Graphs and Groups.

[BibT_eX]

[DOI]

Bobak T. Kiani

Proceedings of the Advances in Neural Information Processing Systems 38: Annual Conference on Neural Information Processing Systems 2024, 2024

On the hardness of learning under symmetries.

[BibT_eX]

[DOI]

Proceedings of the Twelfth International Conference on Learning Representations, 2024

Effective Structural Encodings via Local Curvature Profiles.

[BibT_eX]

[DOI]

Proceedings of the Twelfth International Conference on Learning Representations, 2024

Structured Regularization for SPD Optimization with Side Information.

[BibT_eX]

[DOI]

Andrew Cheng

Proceedings of the 60th Annual Allerton Conference on Communication, 2024

Exploiting Data Geometry in Machine Learning.

[BibT_eX]

[DOI]

Proceedings of the Thirty-Eighth AAAI Conference on Artificial Intelligence, 2024

2023

Riemannian Optimization via Frank-Wolfe Methods.

[BibT_eX]

[DOI]

Math. Program., May, 2023

Curvature-based Clustering on Graphs.

[BibT_eX]

[DOI]

Yu Tian

Zachary Lubberts

CoRR, 2023

Continuum Limits of Ollivier's Ricci Curvature on data clouds: pointwise consistency and global lower bounds.

[BibT_eX]

[DOI]

Nicolás García Trillos

CoRR, 2023

Augmentations of Forman's Ricci Curvature and their Applications in Community Detection.

[BibT_eX]

[DOI]

Sergio Serrano de Haro Iváñez

Karel Devriendt

Renaud Lambiotte

CoRR, 2023

Mitigating Over-Smoothing and Over-Squashing Using Augmentations of Forman-Ricci Curvature.

[BibT_eX]

[DOI]

Proceedings of the Learning on Graphs Conference, 27-30 November 2023, Virtual Event., 2023

Global optimality for Euclidean CCCP under Riemannian convexity.

[BibT_eX]

[DOI]

Proceedings of the International Conference on Machine Learning, 2023

2022

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

[BibT_eX]

[DOI]

CoRR, 2022

Computing Brascamp-Lieb Constants through the lens of Thompson Geometry.

[BibT_eX]

[DOI]

CoRR, 2022

On a class of geodesically convex optimization problems solved via Euclidean MM methods.

[BibT_eX]

[DOI]

CoRR, 2022

Mixed-membership community detection via line graph curvature.

[BibT_eX]

[DOI]

Yu Tian

Zachary Lubberts

Proceedings of the NeurIPS Workshop on Symmetry and Geometry in Neural Representations, 2022

2021

On Geometric Optimization, Learning and Control

[BibT_eX]

[DOI]

PhD thesis, 2021

Identifying biases in legal data: An algorithmic fairness perspective.

[BibT_eX]

[DOI]

Jackson Sargent

CoRR, 2021

2020

Robust large-margin learning in hyperbolic space.

[BibT_eX]

[DOI]

Proceedings of the Advances in Neural Information Processing Systems 33: Annual Conference on Neural Information Processing Systems 2020, 2020

Neighborhood Growth Determines Geometric Priors for Relational Representation Learning.

[BibT_eX]

[DOI]

Proceedings of the 23rd International Conference on Artificial Intelligence and Statistics, 2020

2019

Nonconvex stochastic optimization on manifolds via Riemannian Frank-Wolfe methods.

[BibT_eX]

[DOI]

CoRR, 2019

The Oracle of DLphi.

[BibT_eX]

[DOI]

CoRR, 2019

2018

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

[BibT_eX]

[DOI]

F. Patricia Medina

Linda Ness

Karamatou Yacoubou Djima

CoRR, 2018

Coarse geometry of evolving networks.

[BibT_eX]

[DOI]

J. Complex Networks, 2018

Forman's Ricci Curvature - From Networks to Hypernetworks.

[BibT_eX]

[DOI]

Proceedings of the Complex Networks and Their Applications VII, 2018

2017

Frank-Wolfe methods for geodesically convex optimization with application to the matrix geometric mean.

[BibT_eX]

[DOI]

CoRR, 2017

Curvature-based Methods for Brain Network Analysis.

[BibT_eX]

[DOI]

CoRR, 2017

Characterizing complex networks with Forman-Ricci curvature and associated geometric flows.

[BibT_eX]

[DOI]

J. Complex Networks, 2017

EGAD: ultra-fast functional analysis of gene networks.

[BibT_eX]

[DOI]

Bioinform., 2017

2016

Can one see the shape of a network?

[BibT_eX]

[DOI]

CoRR, 2016

Forman-Ricci Flow for Change Detection in Large Dynamic Data Sets.

[BibT_eX]

[DOI]