Compact Data Representations and their Applications. Moses Charikar Princeton University. sketch. complex object. 0. 1. 0. 1. 1. 0. 0. 1. 1. 0. 0. 0. 1. 0. 1. 1. 0. 0. 1. 0. Sketching Paradigm. Construct compact representation ( sketch) of data such that
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http://www.physast.uga.edu/~jss/1010/ch10/earth.jpgLow Distortion Embeddings
Assignment costDetour: Classification with pairwise relationships [Kleinberg,Tardos ’99]
distortion O(d log Δ) [Bartal ’96, CCGGP ’98]
proposed by [Indyk,Thaper ’03] for estimating EMD
Number of bits XORed control shape of flattened curve
SIMPLIcity: avg. precision = 0.331