Geometry and Topology Seminar (Math) - Rick Jardine
Date:
Wednesday, April 7, 2021
Time:
3:30 pm
Location:
Virtual via Zoom
Cost:
Free
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Speaker: Rick Jardine (Western)
"The UMAP algorithm, reimagined"
The Healy-McInnes UMAP algorithm for a data set X has been highly successful as a data science tool. The goal of this talk is to present a geometric version of this algorithm. The present approach requires Barr's generalized fuzzy sets with coefficients in the interval [0,∞], completeness properties of extended pseudo-metric spaces (ep-metric spaces), and manipulations of simplicial presheaves. We also use a geometric version of the cross entropy function for fuzzy sets with coefficients in [0,∞], which can be effectively bounded by distance.
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