Search Results for author: Soham Mukherjee

Found 6 papers, 5 papers with code

GRIL: A $2$-parameter Persistence Based Vectorization for Machine Learning

1 code implementation11 Apr 2023 Cheng Xin, Soham Mukherjee, Shreyas N. Samaga, Tamal K. Dey

We show that this vector representation is $1$-Lipschitz stable and differentiable with respect to underlying filtration functions and can be easily integrated into machine learning models to augment encoding topological features.

Topological Data Analysis

Topological Deep Learning: Going Beyond Graph Data

3 code implementations1 Jun 2022 Mustafa Hajij, Ghada Zamzmi, Theodore Papamarkou, Nina Miolane, Aldo Guzmán-Sáenz, Karthikeyan Natesan Ramamurthy, Tolga Birdal, Tamal K. Dey, Soham Mukherjee, Shreyas N. Samaga, Neal Livesay, Robin Walters, Paul Rosen, Michael T. Schaub

Topological deep learning is a rapidly growing field that pertains to the development of deep learning models for data supported on topological domains such as simplicial complexes, cell complexes, and hypergraphs, which generalize many domains encountered in scientific computations.

Graph Learning

Determining clinically relevant features in cytometry data using persistent homology

1 code implementation11 Mar 2022 Soham Mukherjee, Darren Wethington, Tamal K. Dey, Jayajit Das

This method is applicable to any cytometry dataset for discovering novel insights through topological data analysis which may be difficult to ascertain otherwise with a standard gating strategy or existing bioinformatic tools.

Topological Data Analysis

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