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Multiscale Geometry and Harmonic Analysis of Data Bases

This video was recorded at Machine Learning Summer School (MLSS), Chicago 2009. We describe a method for geometrization of databases such as, questionnaires, or lists of sensor outputs. Interlacing multiscale diffusion geometries of rows and columns of a data matrix, results in a pair of language ontologies which are mutually supportive (certain words are used in certain contexts). This mutual geometry serves a structure of Harmonic Analysis and signal processing on the database. We will illustrate, on databases of audio (music), psychological questionnaires, science documents, images and many others. Joint work with Mata Gavish, Yale University.

Keywords:: videolectures, ocwc, oec

Disciplines:

Science and Technology / Computer Science / Programming & Programming Languages

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Material Type:: Presentation
Date Added to MERLOT:: February 10, 2015
Date Modified in MERLOT:: February 10, 2015
Author:: Ronald Coifman, Department of Computer Science, Yale University
Submitter:: The Open Education Consortium
Primary Audience:: College General Ed, College Lower Division, College Upper Division
Technical Format:: Video

Mobile Compatibility:: Not specified at this time
Language:: English
Cost Involved:: No
Source Code Available:: No
Accessibility Information Available:: Unknown
Creative Commons:: This work is licensed under a Attribution-NonCommercial-NoDerivs 3.0 United States