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A new method for automatic indexing and retrieval is described. The approach is to take advantage of implicit higher-order structure in the association of terms with documents (" semantic structure ") in order to improve the detection of relevant documents on the basis of terms found in queries. The particular technique used is singular-value decomposition,(More)
1970 and is reproduced here to make it more accessible to interested scholars. The original reference is Harshman, R. A. (1970). Foundations of the PARAFAC procedure: Models and conditions for an " explanatory " multimodal factor analysis. 2 ACKNOWLEDGEMENTS The author wishes to express his great indebtedness to Peter Ladefoged, without whose support this(More)
In a new method for automatic indexing and retrieval, implicit higher-order structure in the association of terms with documents is modeled to improve estimates of term-document association, and therefore the detection of relevant documents on the basis of terms found in queries. Singular-value decomposition is used to decompose a large term by document(More)
HAL is a multidisciplinary open access archive for the deposit and dissemination of scientific research documents, whether they are published or not. The documents may come from teaching and research institutions in France or abroad, or from public or private research centers. L'archive ouverte pluridisciplinaire HAL, est destinée au dépôt età la diffusion(More)
ASALSAN is a new algorithm for computing three-way DEDICOM, which is a linear algebra model for analyzing intrinsically asymmetric relationships, such as trade among nations or the exchange of emails among individuals, that incorporates a third mode of the data, such as time. ASALSAN is unique because it enables computing the three-way DEDICOM model on(More)
0. Abstract The mathematical model of PARAFAC is reviewed, and an examination is made of its application to cross-product matrices (e.g. covariance matrices,. scalar product matrices, etc.). It is shown that PARAFAC1 can correctly describe both orthogonal (uncorrelated) and oblique (correlated) factors in system-variation data matrices, but that it can only(More)
An algorithm that uses only the first three formant frequencies has been devised for generating vocal tract shapes as seen on midsagittal x-ray diagrams of most English vowels. The shape of the tongue is characterized in terms of the sum of two factors derived from PARAFAC analysis: a front raising component and a back raising component. Stepwise multiple(More)
A generalization/specialization of the PARAFAC model is developed that improves its properties when applied to multi-way problems involving linearly dependent factors. This model is called PARALIND (PARAllel profiles with LINear Dependences). Linear dependences can arise when the empirical sources of variation being modeled by factors are causally or(More)