In this paper, we propose a pseudo-relevance feedback approach based on linear operators: vector space basis change and cross product. The aim of pseudo-relevance feedback methods based on vector space basis change IBM (Ideal Basis Method) is to optimally separate relevant and irrelevant documents. Whereas the aim of pseudo-relevance feedback method based on cross product AI (Absorption of irrelevance) is to effectively exploit irrelevant documents. We show how to combine IBM methods with AI methods. The combination methods IBM+AI are evaluated experimentally on two TREC collections (TREC-7 ad hoc and TREC-8 ad hoc). The experiments show that these methods improve previous works.
@InProceedings{hattab_et_al:OASIcs.SLATE.2017.23, author = {Hattab, Hawete and Mbarek, Rabeb}, title = {{Linear Operators in Information Retrieval}}, booktitle = {6th Symposium on Languages, Applications and Technologies (SLATE 2017)}, pages = {23:1--23:8}, series = {Open Access Series in Informatics (OASIcs)}, ISBN = {978-3-95977-056-9}, ISSN = {2190-6807}, year = {2017}, volume = {56}, editor = {Queir\'{o}s, Ricardo and Pinto, M\'{a}rio and Sim\~{o}es, Alberto and Leal, Jos\'{e} Paulo and Varanda, Maria Jo\~{a}o}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/OASIcs.SLATE.2017.23}, URN = {urn:nbn:de:0030-drops-79565}, doi = {10.4230/OASIcs.SLATE.2017.23}, annote = {Keywords: Pseudo-relevance feedback, vector space basis change, Cross product} }
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