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4
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60384
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Lecture
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YB
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4:00PM
-5:20PM
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MW
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3015 Electrical & Computer Eng Bldg
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Baryshnikov, Y
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- Availability:
- CrossListOpen (Restricted)
- Part of Term:
- 1
- Date Range:
- 08/24/26-12/09/26
- Credit:
- 4 hours
- Section Title:
- Intro to Topological Data
- Section Info:
- This course provides a rigorous, ground-up foundation in Topological Data Analysis (TDA) tailored for engineering graduate students. It bridges deterministic topology — algebraic topology, to be precise, — with spatial statistics, focusing on uncertainty quantification, Gaussian Random Fields (GRFs), and robust feature extraction using persistent homology. The course emphasizes theoretical guarantees and probabilistic modeling over black-box machine learning integration. Good knowledge of analysis, linear algebra (MATH257 should suffice) and probability theory (at least ECE313) will be expected.
- Restriction(s):
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Restricted to Graduate - Urbana-Champaign.
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