About
In Fall 2026, we meet biweekly on Thursdays 2–3:50 in M5024. An online access is available via Zoom 989 2332 9450.
Schedule
Sep 24, '26,
Yifei Zhu,
An overview of speech (and audio) signal processing, topologically
Oct 8, '26,
Yifei Zhu,
An overview of speech (and audio) signal processing, topologically (cont'd)
Oct 22, '26,
More specific plans / to-do list
Nov 5, '26, Dongyuan Deng, Progress report and discussion on embedding dimensions
Nov 19, '26, Zixuan Wang, Progress report and discussion on AI-detection of topological distributions
Dec 3, '26, Jiaxi Yi, Progress report and discussion on analytical framework for investigating time-varying functional connectivity in cortical networks
Dec 17, '26, Yuxuan Gan, Progress report and discussion on topology-enhanced neural networks
References and Links
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Image (and video) data
- [Data Science] Detection of Klein bottle distribution: Carlsson, Ishkhanov, de Silva, Zomorodian, On the local behavior of spaces of natural images (2008)
- [Artificial Intelligence] Detection: Brüel Gabrielsson, Carlsson, Exposition and interpretation of the topology of neural networks (2019) Enhancement: Love, Filippenko, Maroulas, Carlsson, Topological convolutional layers for deep learning (2023)
- [Neuroscience] Detection: Singh et al., Topological analysis of population activity in visual cortex (2008)
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(Local) phonetic data
- [Data Science / Artificial Intelligence] Topological features (not yet distributions or dynamics) and enhanced machine learning: Feng et al., Topology-enhanced machine learning for speech signal processing (2026)
- Topological deep learning for speech recognition (February 2026) Topological analysis of visual and auditory perception (May 2026)
- Chen, Lin, Yan, Gestalt computational model by persistent homology (2025) Reise, Fernández, Dominguez, Harrington, Beguerisse-Díaz, Topological fingerprints for audio identification (2024)
- Sun, Liu, Ju, Xu, Lift-and-embed learning method for solving scalar hyperbolic equations with discontinuous solutions (2026) Sun, Li, Zheng, Ju, Xu, Learning singularity-encoded Green’s functions with application to iterative methods (2026)
- Benisty et al., Rapid fluctuations in functional connectivity of cortical networks encode spontaneous behavior (2024)
- Sharma et al., Contextual and combinatorial structure in sperm whale vocalisations (2024)
- Zeiler, Fergus, Visualizing and understanding convolutional networks (2014)
- MA341 Applied and Computational Topology (Fall 2025)
- Dr. Meng Yu of Tencent AI Lab Visual Plasticity Lab at University College London, principal investigator Dr. Jennifer Sun Dr. Bo Wang of the School of Medicine at SUSTech