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This is a continuation of last year's seminar, though we try to make it self-contained by starting mildly with overview and background materials. Our focus is the theory and applications of topological methods in analyzing time-dependent data, with a specific goal of continuing with hands-on experiments with speech signal processing.

Talks in Fall 2022 (mostly Mondays 2–4 in Tencent Meeting 817-5229-3070 and M2001)

Sep 5, '22 (M714), Siheng Yi and Pingyao Feng, Progress report on topological analysis of video and speech data

Sep 19, '22, Siheng Yi, Qingrui Qu, and Pingyao Feng, Further report on video and speech data

Sep 26, '22, Zhiwang Yu and Cunshi Wang, Topological construction of neural network architectures and its applications

Oct 10, '22, Siheng Yi, Qingrui Qu, and Pingyao Feng, Reports on video and speech data

Oct 17 & 19, '22, Pingyao Feng, Qingrui Qu, and Siheng Yi, Phone alignment to learn more; reports on biomedical signal processing

Oct 24, '22, Pingyao Feng, More experiments with phone alignment; refining persistence profiles

A progress report

Talks in Summer 2022 (mostly Mondays 2–4 in Tencent Meeting 510-6344-5300 and M714)

Jul 4, '22, Cunshi Wang (Chinese Academy of Sciences), Structure of Astronomical Data

Jul 11, '22, Siheng Yi, Theoretical Basis of Sliding Window Embedding

Jul 18, '22, Siheng Yi, Progress Report and Specific Operation of GUDHI

Aug 1, '22, Xiabing Ruan (University of Paris-Saclay), Interleaving distances and multiplicative structures of persistent objects

Aug 8, '22, Siheng Yi, Multi-parameter persistence

Aug 17, '22 (Special time and place: 2 pm M616), All joint with Prof. Zhen Zhang's group, A “digression”: periodic video data

Aug 22, '22, Siheng Yi, Multi-parameter persistence, cont'd

Aug 29, '22, Meng Yu (Tecent AI Lab), Introduction to speech signal

Talks in Spring 2022 (mostly Mondays 8–10 in Tencent Meeting 730-7782-4255)

Mar 14, '22, Siheng Yi, Persistent Homology, Sliding Window Embedding and Time Series

Mar 21, '22, Zhiwang Yu, Vietoris-Rips Complexes and Cech Complex

Mar 28, '22, Pingyao Feng, Persistent Homology and Musical Audio Data

Apr 11, '22, Yifan Chen, A Short Introduction on Topological Machine Learning Methods

Apr 18, '22, Siheng Yi, Algebraic Topology and Database 1

Apr 25, '22, Siheng Yi, Algebraic Topology and Database 2

May 4, '22, Siheng Yi, Algebraic Topology and Database 3

May 9, '22, Zhiwang Yu, Computing persistent Stiefel–Whitney classes of line bundles 1

May 16, '22, Pingyao Feng, Topological Machine Learning for Multivariate Time Series

May 23, '22, Zhiwang Yu, Computing persistent Stiefel–Whitney classes of line bundles 2

May 30, '22, Zhiwang Yu, Computing persistent Stiefel–Whitney classes of line bundles 3