Geometric and Graph Data Analysis

Relevant Papers

Geometric Deep Learning

  • Geometric scattering networks on compact Riemannian manifolds. With Michael Perlmutter, Feng Gao and Guy Wolf. 2019. pdf, arXiv.
  • Geometric Scattering for Graph Data Analysis. With Feng Gao and Guy Wolf. In Proceedings of the 36th International Conference on Machine Learning, Proceedings of Machine Learning Research (PMLR), volume 97, pages 2122-2131, 2019. pdf, ICML/PMLR, arXiv.
  • Geometric Scattering on Manifolds (contributed spotlight talk). With Michael Perlmutter and Guy Wolf. In NeurIPS Workshop on Integration of Deep Learning Theories, Montreal, Canada, December 8, 2018. pdf, arXiv, NIPS DLTheory.

Geometric Data Analysis and Manifold Learning

  • Visualizing Structure and Transitions for Biological Data Exploration (PHATE). With Kevin R. Moon, David van Dijk, Zheng Wang, Scott Gigante, Daniel Burkhardt, William Chen, Kristina Yim, Antonia van den Elzen, Ronald R. Coifman, Natalia B. Ivanova, Guy Wolf and Smita Krishnaswamy. 2019. pdf, bioRxiv.
  • Time Coupled Diffusion Maps. With Nicholas Marshall. Applied and Computational Harmonic Analysis, volume 45, issue 3, pages 709-728, 2018. pdf, arXiv, ScienceDirect.
  • A Diffusion-based Condensation Process for Multiscale Analysis of Single Cell Data. With Tobias Welp, Guy Wolf and Smita Krishnaswamy. In ICML Workshop Computational Biology, New York, June 24, 2016. 5 pages. pdfICML WCB.
  • Diffusion maps for changing data. With Ronald R. Coifman. Applied and Computational Harmonic Analysis, volume 36, issue 1, pages 79-107, January 2014. pdfarXivScienceDirectSoftware.
  • Bi-stochastic kernels via asymmetric affinity functions. With Ronald R. Coifman. Applied and Computational Harmonic Analysis, volume 35, issue 1, pages 177-180, July 2013. pdfarXivScienceDirect.
  • Frame based kernel methods for automatic classification in hyperspectral data. With John J. Benedetto, Wojciech Czaja and Justin C. Flake. In Proceedings of the IEEE 2009 International Geoscience and Remote Sensing Symposium, volume 4, pages 697-700, Cape Town, South Africa, July 12-17, 2009. pdfIEEE Xplore.