Applied and Computational Topology Seminar

About

Following the practice of MA341 last fall, this semester, we meet on Thursdays 2–3 in M5024.

Schedule

Mar 5, '26, Yifei Zhu, Overview: Topological deep learning for speech recognition

Mar 12, '26, Yifei Zhu, Topological deep learning for speech recognition, cont'd

References

• Topological time series analysis:
  1. Xiaolong Han, Replication and application of topological music analysis to Baroque concertos
  2. Luis Suarez Salas, Jose A. Perea, Estimation of persistence diagrams via the Three Gap Theorem
• (Topological) deep learning:
  1. Xiaoyun Liu, Characterizing and detecting adversarial attacks using local intrinsic dimensionality
  2. Xin et al., TopInG: Topologically interpretable graph learning via persistent rationale filtration
  3. Konstantinos Spiliopoulos, Richard Sowers, Justin Sirignano, Mathematical foundations of deep learning models and algorithms
• Persistent homology and its applications:
  1. Yu Chen, Hongwei Lin, Robust model reconstruction based on the topological understanding of point clouds using persistent homology (Slides)

Previous Semesters

• 2025
• 2024
• 2023
• 2022
• 2020–21