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Foundations of Data Science

Foundations of data Science Avrim Blum, John Hopcroft, and Ravindran KannanThursday 4thJanuary, 2018 Copyright 2015. All rights reserved1 Contents1 Introduction92 High-Dimensional introduction .. The Law of Large Numbers .. The Geometry of High Dimensions .. Properties of the Unit Ball .. of the Unit Ball .. Near the Equator .. Generating Points Uniformly at Random from a Ball .. Gaussians in High Dimension .. Random Projection and Johnson-Lindenstrauss Lemma .. Separating Gaussians.

1 Introduction Computer science as an academic discipline began in the 1960’s. Emphasis was on programming languages, compilers, operating systems, and the mathematical theory that

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