Topological Feature
Topological features, derived from topological data analysis (TDA), capture the shape and connectivity of data, offering insights beyond traditional feature extraction methods. Current research focuses on integrating TDA with machine learning models, such as graph neural networks and transformers, to improve the robustness and interpretability of various applications, including vulnerability detection, anomaly detection in deep learning, and protein structure prediction. This interdisciplinary approach is proving valuable across diverse fields, enhancing model performance and providing new avenues for understanding complex data structures.
Papers
Cosmology with Persistent Homology: Parameter Inference via Machine Learning
Juan Calles, Jacky H. T. Yip, Gabriella Contardo, Jorge Noreña, Adam Rouhiainen, Gary Shiu
Pitfalls of topology-aware image segmentation
Alexander H. Berger, Laurin Lux, Alexander Weers, Martin Menten, Daniel Rueckert, Johannes C. Paetzold