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We describe many vantage points on the Baire metric and its use in clusteringdata, or its use in preprocessing and structuring data in order to supportsearch and retrieval operations. In some cases, we proceed directly to clustersand do not directly determine the distances. We show how a hierarchicalclustering can be read directly from one pass through the data. We offerinsights also on practical implications of precision of data measurement. As amechanism for treating multidimensional data, including very high dimensionaldata, we use random projections.

p-adic numbers, ultrametric analysis and applications

Fast, Linear Time, m-Adic Hierarchical Clustering for Search and  Retrieval using the Baire Metric, with linkages to Generalized Ultrametrics,  Hashing, Formal Concept Analysis, and Precision of Data Measurement