Optimum Polynomial Retrieval Functions.
Norbert Fuhr:
Optimum Polynomial Retrieval Functions.
SIGIR 1989: 69-76@inproceedings{DBLP:conf/sigir/Fuhr89,
author = {Norbert Fuhr},
editor = {Nicholas J. Belkin and
C. J. van Rijsbergen},
title = {Optimum Polynomial Retrieval Functions},
booktitle = {SIGIR'89, 12th International Conference on Research and Development
in Information Retrieval, Cambridge, Massachusetts, USA, June
25-28, 1989, Proceedings},
publisher = {ACM},
year = {1989},
isbn = {0-89791-321-3},
pages = {69-76},
ee = {db/conf/sigir/Fuhr89.html},
crossref = {DBLP:conf/sigir/89},
bibsource = {DBLP, http://dblp.uni-trier.de}
}
BibTeX
Abstract
We show that any approach to develop optimum retrieval functions is based on two kinds of
assumptions: first, a certain form of representation for documents and requests, and second,
additional simplifying assumptions that predefine the type of the retrieval function. Then we describe
an approach for the development of optimum polynomial retrieval functions: request-document pairs
(fl, dm) are mapped onto description vectors
x(fl, dm), and a polynomial function of the form
aT v(x) is developed such that it yields estimates of the probability of
relevance P(R|x(fl, dm)) with minimum square errors. We give experimental results for the
application of this approach to documents with weighted indexing as well as to documents with
complex representations. In contrast to other probabilistic models, our approach yields estimates of
the actual probabilities, it can handle very complex representations of documents and requests, and
it can be easily applied to multi-valued relevance scales. On the other hand, this approach is not
suited to log-linear probabilistic models, and it needs large samples of relevance feedback data for
its application.
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BibTeX
Printed Edition
Nicholas J. Belkin, C. J. van Rijsbergen (Eds.):
SIGIR'89, 12th International Conference on Research and Development in Information Retrieval, Cambridge, Massachusetts, USA, June 25-28, 1989, Proceedings.
ACM 1989, ISBN 0-89791-321-3
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