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Proceedings Article, Paper


@InProceedings
Beitrag in Tagungsband, Workshop
Author, Editor
Author(s):
Jaeger, Manfreddblp
Editor(s):
Fawcett, Tom
Mishra, Nina
dblp
dblp
Not MPII Editor(s):
Fawcett, Tom
Mishra, Nina
BibTeX cite key*:
JaegerICML03
Title, Booktitle
Title*:
Probabilistic Classifiers and the Concepts they Recognize
Booktitle*:
Proceedings of the Twentieth International Conference on Machine Learning (ICML-03)
Event, URLs
Conference URL::
http://www.hpl.hp.com/conferences/icml03/
Downloading URL:
Event Address*:
Washington DC, U.S.
Language:
English
Event Date*
(no longer used):
August 21-24, 2003
Organization:
Event Start Date:
21 August 2003
Event End Date:
24 August 2003
Publisher
Name*:
AAAI Press
URL:
http://www.aaai.org/Press/press.html
Address*:
Menlo Park, USA
Type:
Vol, No, Year, pp.
Series:
Volume:
Number:
Month:
Pages:
266-273
Year*:
2003
VG Wort Pages:
ISBN/ISSN:
0-1-57735-189-4
Sequence Number:
DOI:
Note, Abstract, ©
(LaTeX) Abstract:
We investigate algebraic, logical, and geometric
properties of concepts recognized by various classes
of probabilistic classifiers. For this we introduce a
natural hierarchy of probabilistic classifiers, the
lowest level of which comprises the naive Bayesian
classifiers. We show that the expressivity of classifiers on the
different levels in the hierarchy is characterized
algebraically by separability with polynomials of
different degrees. A consequence of this result is that
every linearly separable concept can be recognized by a
naive Bayesian classifier. We contrast this result with
negative results about the naive Bayesian classifier
previously reported in the literature, and point out that
these results only pertain to specific learning
scenarios for naive Bayesian classifiers. We also present
some logical and geometric characterizations of linearly
separable concepts, thus providing additional intuitive
insight into what concepts are recognizable by naive
Bayesian classifiers.
Download
Access Level:
Public

Correlation
MPG Unit:
Max-Planck-Institut für Informatik
MPG Subunit:
Programming Logics Group
Audience:
popular
Appearance:
MPII WWW Server, MPII FTP Server, MPG publications list, university publications list, working group publication list, Fachbeirat, VG Wort



BibTeX Entry:
@INPROCEEDINGS{JaegerICML03,
AUTHOR = {Jaeger, Manfred},
EDITOR = {Fawcett, Tom and Mishra, Nina},
TITLE = {Probabilistic Classifiers and the Concepts they Recognize},
BOOKTITLE = {Proceedings of the Twentieth International Conference on Machine Learning (ICML-03)},
PUBLISHER = {AAAI Press},
YEAR = {2003},
PAGES = {266--273},
ADDRESS = {Washington DC, U.S.},
ISBN = {0-1-57735-189-4},
}


Entry last modified by Viorica Sofronie-Stokkermans, 03/12/2010
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Editor(s)
Manfred Jaeger
Created
05/11/2003 03:45:46 PM
Revisions
5.
4.
3.
2.
1.
Editor(s)
Viorica Sofronie-Stokkermans
Sabine Krott
Christine Kiesel
Uwe Brahm
Uwe Brahm
Edit Dates
06/23/2004 02:16:27 PM
22.06.2004 10:19:42
17.06.2004 15:46:32
05/07/2004 07:13:58 PM
06/09/2003 01:15:00 AM