Projects per year
Abstract
Consider observation data, comprised of n observation vectors with values on a set of attributes. This gives us n points in attribute space. Having data structured as a tree, implied by having our observations embedded in an ultrametric topology, offers great advantage for proximity searching. If we have preprocessed data through such an embedding, then an observation's nearest neighbor is found in constant computational time, i.e. O(1) time. A further powerful approach is discussed in this work: the inducing of a hierarchy, and hence a tree, in linear computational time, i.e. O(n) time for n observations. It is with such a basis for proximity search and best match that we can address the burgeoning problems of processing very large, and possibly also very high dimensional, data sets.
Original language  English 

Journal  NA 
Publication status  In preparation  15 Feb 2012 
Keywords
 cs.IR
 stat.ML
 11Z05
 I.5.3; H.3.3; E.2
Projects
 1 Finished

New Mathematical approaches for structuring and searching through, very large compressed encrypted textual data stores
Murtagh, F. & Contreras Albornoz, P.
Eng & Phys Sci Res Council EPSRC
1/11/06 → 31/03/10
Project: Research