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Proceedings of TDA: Applications of Topological Data Analysis to Data Science, Artificial Intelligence, and Machine Learning Workshop at SDM 2022
Topological Data Analysis (TDA) is a rigorous framework that borrows techniques from geometric and algebraic topology, category theory, and combinatorics in order to study the "shape" of such complex high-dimensional data.
Empirical complexity of comparator-based nearest neighbor descent
A Java parallel streams implementation of the $K$-nearest neighbor descent algorithm is presented using a natural statistical termination criterion.
K-Nearest Neighbor Approximation Via the Friend-of-a-Friend Principle
The $K$-nearest neighbor graph is a directed graph including an arc from each $x$ to the $K$ points of $V \setminus \{x\}$ most similar to $x$.
Combinatorics Statistics Theory Statistics Theory 90C35, 06A07
