Naslov
Matrices, Vector Spaces, and Information Retrieval

Autori
Berry, Michael ; Drmač, Zlatko ; Jessup, Elizabeth

Izvornik
SIAM review (0036-1445) 41 (1999), 2; 335-362

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
information retrieval; linear algebra; QR factorization; singular

Sažetak
The evolution of digital libraries and the Internet has dramatically transformed the processing, storage, and retrieval of information. Efforts to digitize text, images, video, and audio now consume a substantial portion of both academic and industrial activity. Even when there is no shortage of textual materials on a particular topic, procedures for indexing or extracting the knowledge or conceptual information contained in them can be lacking. Recently developed technologies based on the concept of a {em vector space} draw upon basic principles of linear algebra. In particular, matrix decompositions such as the singular value decomposition (SVD) can be used to encode both terms (or keywords) and documents (or textual objects) for representation in particular vector spaces. Understanding how such fundamental mathematical concepts from linear algebra can be used to intelligently manage and index large text collections is the focus of this work.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA