Learning Topological Representations for Deep Image Understanding

• URL: http://arxiv.org/abs/2403.15361v1
• Date: Fri, 22 Mar 2024 17:23:37 GMT
• Title: Learning Topological Representations for Deep Image Understanding
• Authors: Xiaoling Hu,
• Abstract summary: We propose novel representations of topological structures in a deep learning framework. We leverage the mathematical tools from topological data analysis to develop principled methods for better segmentation and uncertainty estimation.
• Score: 8.698159165261542
• License: http://creativecommons.org/licenses/by-nc-nd/4.0/
• Abstract: In many scenarios, especially biomedical applications, the correct delineation of complex fine-scaled structures such as neurons, tissues, and vessels is critical for downstream analysis. Despite the strong predictive power of deep learning methods, they do not provide a satisfactory representation of these structures, thus creating significant barriers in scalable annotation and downstream analysis. In this dissertation, we tackle such challenges by proposing novel representations of these topological structures in a deep learning framework. We leverage the mathematical tools from topological data analysis, i.e., persistent homology and discrete Morse theory, to develop principled methods for better segmentation and uncertainty estimation, which will become powerful tools for scalable annotation.

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