2 papers
cs.LG2026
Relocation of compact sets in by diffeomorphisms and linear separability of datasets in
Xiao-Song Yang, Xuan Zhou, Qi Zhou
Relocation of compact sets in an -dimensional manifold by self-diffeomorphism is of its own interest as well as significant potential applications to data classification in data…
math.GN2025
A new proof of Poincaré-Miranda theorem based on the classification of one-dimensional manifolds
Xiao-Song Yang
This note gives a new elementary proof of Poincaré-Miranda theorem based on Sard's theorem and the simple classification of one-dimensional manifolds.