Algorithms and Lower Bounds for On-Line Learning of Geometrical Concepts
Abstract
The complexity of on-line learning is investigated for the basic classes of geometrical objects over a discrete (“digitized”) domain. In particular, upper and lower bounds are derived for the complexity of learning algorithms for axis-parallel rectangles, rectangles in general position, balls, half-spaces, intersections of half-spaces, and semi-algebraic sets. The learning model considered is the standard model for on-line learning from counterexamples.
Cite
Text
Maass and Turán. "Algorithms and Lower Bounds for On-Line Learning of Geometrical Concepts." Machine Learning, 1994. doi:10.1023/A:1022653511837Markdown
[Maass and Turán. "Algorithms and Lower Bounds for On-Line Learning of Geometrical Concepts." Machine Learning, 1994.](https://mlanthology.org/mlj/1994/maass1994mlj-algorithms/) doi:10.1023/A:1022653511837BibTeX
@article{maass1994mlj-algorithms,
title = {{Algorithms and Lower Bounds for On-Line Learning of Geometrical Concepts}},
author = {Maass, Wolfgang and Turán, György},
journal = {Machine Learning},
year = {1994},
pages = {251-269},
doi = {10.1023/A:1022653511837},
volume = {14},
url = {https://mlanthology.org/mlj/1994/maass1994mlj-algorithms/}
}