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Nearest Neighbors

Dec 11, 2009
We have a dictionary D of vectors to be preprocessed, and a query vector q. We need to find nearest neighbor of q in D. Distance d(u,v) is the Hamming distance but any position i in which u and v differ can not differ by more than k (|u[i]-v[i]| \leq...

Compressing Many

Dec 9, 2009
We now know how to compress individual strings, down to the various notions of optimal entropy inherent in Lempel-Ziv to Burrows-Wheeler methods. But what is the theory of compressing a set S of strings, ie, what are optimal compression methods and...

(Quasi) Proportional Mechanisms

Dec 9, 2009
Say you have a slot and multiple bids b_i's. We can assign it proportional to the bids, b_i/sum_i b_i. In a nice paper, Johari and Tsitsiklis showed that even in presence of strategic bidders, the total utility to the bidders is no worse than 3/4 of...

Italian Travel Fun

Dec 8, 2009
Travel to Italy should really be about food, friends and Fabriano on the left (making paper since 1264 AD). But it was all about flying. I don't mean just the angst of Alitalia (the security announcements were muffled, the remote for the entertainment...

DIMACS is 20

Nov 23, 2009
Exactly a week after Friday the 13th was the day of celebration of 20th Anniversary of DIMACS. I was there with my notebook, a journalist for part of the day. Ron Graham led, talking about embedding graphs into the Hypercube (into {0,1,*}^D space with...


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