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Bibliographic Details
Main Author: Khorana, Rahul
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2408.16686
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Table of Contents:
  • We present a novel framework for learning on CW-complex structured data points. Recent advances have discussed CW-complexes as ideal learning representations for problems in cheminformatics. However, there is a lack of available machine learning methods suitable for learning on CW-complexes. In this paper we develop notions of convolution and attention that are well defined for CW-complexes. These notions enable us to create the first Hodge informed neural network that can receive a CW-complex as input. We illustrate and interpret this framework in the context of supervised prediction.