Web: http://arxiv.org/abs/2209.06975

Sept. 16, 2022, 1:13 a.m. | Yubo Zhuang, Xiaohui Chen, Yun Yang

stat.ML updates on arXiv.org arxiv.org

Clustering is an important exploratory data analysis technique to group
objects based on their similarity. The widely used $K$-means clustering method
relies on some notion of distance to partition data into a fewer number of
groups. In the Euclidean space, centroid-based and distance-based formulations
of the $K$-means are equivalent. In modern machine learning applications, data
often arise as probability distributions and a natural generalization to handle
measure-valued data is to use the optimal transport metric. Due to non-negative
Alexandrov curvature …

arxiv clustering probability

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