First Sentence:
Given a collection of n data points (vectors) in high-dimensional Euclidean space it is natural to ask whether they can be projected into a lower dimensional Euclidean space without suffering great distortion.
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Key Phrases - Statistically Improbable Phrases (SIPs):
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thick skyline, skyline objects, optimal matching tree, sparse bigrams, maximum gap constraint, combinatorial tiles, regression nomograms, suitable local representatives, cosine criterion, negative association rules, hierarchical clustering engine, compressed continuities, feature mapping function, checker filter, window size constraint, functionality interchanges, hierarchical tiles, blosum scores, classified clustering, position invariant features, multiscale matching, size regularization, chemical reaction databases, pattern query language, spatial association rules
Key Phrases - Capitalized Phrases (CAPs):
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Springer-Verlag Berlin Heidelberg, Artificial Intelligence, New York, Morgan Kaufmann, Data Engineering, Evidence Visualizer, John Wiley, Very Large Data Bases, Computer Society, European Conference, Geographical Information Systems, Annalisa Appice, Aristides Gionis, Camilo Rostoker, Density-Based Spatial Clustering, Hans-Peter Kriegel, Martin Pfeifle, Michael Egmont-Petersen, Symptom Complex, Xin Wang, Adriano Veloso, Analysing Customer Churn, Heikki Mannila, Nan Zhang, Shengquan Wang
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