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Foundations of Data Science - Cornell University

Foundations of data Science Avrim Blum, John Hopcroft and Ravindran KannanThursday 9thJune, 2016 Copyright 2015. All rights reserved1 Contents1 Introduction82 High-Dimensional introduction .. The Law of Large Numbers .. The Geometry of High Dimensions .. Properties of the Unit Ball .. of the Unit Ball .. of the Volume is Near the Equator .. Generating Points Uniformly at Random from a Ball .. Gaussians in High Dimension .. Random Projection and Johnson-Lindenstrauss Lemma .. Separating Gaussians .. Fitting a Single Spherical Gaussian to data .. Bibliographic Notes .. Exercises .. 303 Best-Fit Subspaces and Singular Value Decomposition (SVD) introduction and Overview .. Preliminaries .. Singular Vectors.

Foundations of Data Science Avrim Blum, John Hopcroft and Ravindran Kannan Thursday 9th June, ... 1 Introduction Computer science as an academic discipline began in the 1960’s. Emphasis was on ... and store data in the natural sciences, in commerce, and in other elds calls for a change ...

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