Fast and robust supervised learning in high dimensions using the geometry of the data

Ujjal Kumar Mukherjee; Subhabrata Majumdar; Snigdhansu Chatterjee

doi:10.1007/978-3-319-20910-4_9

Fast and robust supervised learning in high dimensions using the geometry of the data

Ujjal Kumar Mukherjee, Subhabrata Majumdar, Snigdhansu Chatterjee

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

We develop a method for tracing out the shape of a cloud of sample observations, in arbitrary dimensions, called the data cloud wrapper (DCW). The DCW have strong theoretical properties, have algorithmic scalability and parallel computational features. We further use the DCW to develop a new fast, robust and accurate classification method in high dimensions, called the geometric learning algorithm (GLA). Two of the main features of the proposed algorithm are that there are no assumptions made about the geometric properties of the underlying data generating distribution, and that there are no parametric or other restrictive assumptions made either for the data or the algorithm. The proposed methods are typically faster and more robust than established classification techniques, while being comparably accurate in most cases.

Original language	English (US)
Title of host publication	Advances in Data Mining
Subtitle of host publication	Applications and Theoretical Aspects - 15th Industrial Conference, ICDM 2015, Proceedings
Editors	Petra Perner
Publisher	Springer
Pages	109-123
Number of pages	15
ISBN (Print)	9783319209098
DOIs	https://doi.org/10.1007/978-3-319-20910-4_9
State	Published - 2015
Externally published	Yes
Event	15th Industrial Conference on Data Mining, ICDM 2015 - Hamburg, Germany Duration: Jul 11 2015 → Jul 24 2015

Publication series

Name	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence)
Volume	9165
ISSN (Print)	0302-9743
ISSN (Electronic)	1611-3349

Other

Other	15th Industrial Conference on Data Mining, ICDM 2015
Country/Territory	Germany
City	Hamburg
Period	7/11/15 → 7/24/15

ASJC Scopus subject areas

Theoretical Computer Science
General Computer Science

Online availability

10.1007/978-3-319-20910-4_9

Library availability

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Mukherjee, U. K., Majumdar, S., & Chatterjee, S. (2015). Fast and robust supervised learning in high dimensions using the geometry of the data. In P. Perner (Ed.), Advances in Data Mining: Applications and Theoretical Aspects - 15th Industrial Conference, ICDM 2015, Proceedings (pp. 109-123). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence); Vol. 9165). Springer. https://doi.org/10.1007/978-3-319-20910-4_9

Fast and robust supervised learning in high dimensions using the geometry of the data. / Mukherjee, Ujjal Kumar; Majumdar, Subhabrata; Chatterjee, Snigdhansu.
Advances in Data Mining: Applications and Theoretical Aspects - 15th Industrial Conference, ICDM 2015, Proceedings. ed. / Petra Perner. Springer, 2015. p. 109-123 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence); Vol. 9165).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Mukherjee, UK, Majumdar, S & Chatterjee, S 2015, Fast and robust supervised learning in high dimensions using the geometry of the data. in P Perner (ed.), Advances in Data Mining: Applications and Theoretical Aspects - 15th Industrial Conference, ICDM 2015, Proceedings. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence), vol. 9165, Springer, pp. 109-123, 15th Industrial Conference on Data Mining, ICDM 2015, Hamburg, Germany, 7/11/15. https://doi.org/10.1007/978-3-319-20910-4_9

Mukherjee UK, Majumdar S, Chatterjee S. Fast and robust supervised learning in high dimensions using the geometry of the data. In Perner P, editor, Advances in Data Mining: Applications and Theoretical Aspects - 15th Industrial Conference, ICDM 2015, Proceedings. Springer. 2015. p. 109-123. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence)). doi: 10.1007/978-3-319-20910-4_9

Mukherjee, Ujjal Kumar ; Majumdar, Subhabrata ; Chatterjee, Snigdhansu. / Fast and robust supervised learning in high dimensions using the geometry of the data. Advances in Data Mining: Applications and Theoretical Aspects - 15th Industrial Conference, ICDM 2015, Proceedings. editor / Petra Perner. Springer, 2015. pp. 109-123 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence)).

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Fast and robust supervised learning in high dimensions using the geometry of the data

Abstract

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