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The Fast Johnson-Lindenstrauss Transform (FJLT) was recently discovered by Ailon and Chazelle as a novel technique for performing fast dimension reduction with small distortion fr...
—We show that the rank of a depth-3 circuit (over any field) that is simple, minimal and zero is at most O(k3 log d). The previous best rank bound known was 2O(k2 ) (log d)k−2...
We present a simple and practical algorithm for the c-approximate near neighbor problem (c-NN): given n points P Rd and radius R, build a data structure which, given q Rd , can ...