Learning over Compact Metric Spaces
Abstract
We consider the problem of learning on a compact metric space X in a functional analytic framework. For a dense subalgebra of Lip ( X ), the space of all Lipschitz functions on X , the Representer Theorem is derived. We obtain exact solutions in the case of least square minimization and regularization and suggest an approximate solution for the Lipschitz classifier.
Cite
Text
Minh and Hofmann. "Learning over Compact Metric Spaces." Annual Conference on Computational Learning Theory, 2004. doi:10.1007/978-3-540-27819-1_17Markdown
[Minh and Hofmann. "Learning over Compact Metric Spaces." Annual Conference on Computational Learning Theory, 2004.](https://mlanthology.org/colt/2004/minh2004colt-learning/) doi:10.1007/978-3-540-27819-1_17BibTeX
@inproceedings{minh2004colt-learning,
title = {{Learning over Compact Metric Spaces}},
author = {Minh, Ha Quang and Hofmann, Thomas},
booktitle = {Annual Conference on Computational Learning Theory},
year = {2004},
pages = {239-254},
doi = {10.1007/978-3-540-27819-1_17},
url = {https://mlanthology.org/colt/2004/minh2004colt-learning/}
}