2026
How high is ‘high’? Rethinking the roles of dimensionality in topological data analysis and manifold learning
ICML 2026poster
High-dimensionality of data is often regarded as a fundamental statistical impediment in Machine Learning and AI. The purpose of this paper is to clarify, on the contrary, when and how high-dimensionality may be beneficial. In the setting of a general random function model of data we delineate betwe…