About
Following the practice of MA341 last fall, this semester, we meet on Thursdays 2–3 in M5024.
Schedule
Mar 5, '26,
Yifei Zhu,
Topological deep learning for speech recognition: an overview
Mar 12, '26,
Yifei Zhu,
Topological deep learning for speech recognition, II
Mar 19, '26 (M714, note special room),
Yifei Zhu,
Topological deep learning for speech recognition, III
Mar 26, '26,
Yiran Chen,
Topology-aware Knowledge Distillation in Object Detection
Apr 9, '26,
Xiaoyun Liu,
Neural network adversarial perturbation analysis and detection: A topological view
Apr 16, '26,
Xiaolong Han,
Exploring Fermat Distance, Ideas and Early Experiments
Apr 23, '26,
Dongyuan Deng,
The Euler Characteristic Transform and Its Applications to Deep Learning
May 7, '26,
Yuhe Qin,
TBA
May 14, '26,
Runfeng Yang,
TBA
May 15, '26, 4:30–6:00 (tentative, special date and time),
Yifei Zhu,
Topological analysis of visual and auditory perception
May 21, '26,
Shao Shi,
TBA
References and Links
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Topological time series analysis:
- Xiaolong Han, Replication and application of topological music analysis to Baroque concertos
- Luis Suarez Salas, Jose A. Perea, Estimation of persistence diagrams via the Three Gap Theorem
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(Topological) deep learning:
- Xiaoyun Liu, Characterizing and detecting adversarial attacks using local intrinsic dimensionality
- Xin et al., TopInG: Topologically interpretable graph learning via persistent rationale filtration
- Konstantinos Spiliopoulos, Richard Sowers, Justin Sirignano, Mathematical foundations of deep learning models and algorithms
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Persistent homology and its applications:
- Gurjeet Singh et al., Topological analysis of population activity in visual cortex
- Yu Chen, Hongwei Lin, Robust model reconstruction based on the topological understanding of point clouds using persistent homology (Slides)
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More:
- Tencent AI Lab
- Visual Plasticity Lab at University College London