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FOCS
2007
IEEE
14 years 1 months ago
On the Hardness and Smoothed Complexity of Quasi-Concave Minimization
In this paper, we resolve the smoothed and approximative complexity of low-rank quasi-concave minimization, providing both upper and lower bounds. As an upper bound, we provide th...
Jonathan A. Kelner, Evdokia Nikolova
SSD
2007
Springer
243views Database» more  SSD 2007»
14 years 1 months ago
Continuous Medoid Queries over Moving Objects
In the k-medoid problem, given a dataset P, we are asked to choose k points in P as the medoids. The optimal medoid set minimizes the average Euclidean distance between the points ...
Stavros Papadopoulos, Dimitris Sacharidis, Kyriako...
STOC
2005
ACM
93views Algorithms» more  STOC 2005»
14 years 7 months ago
Representing hard lattices with O(n log n) bits
We present a variant of the Ajtai-Dwork public-key cryptosystem where the size of the public-key is only O(n log n) bits and the encrypted text/clear text ratio is also O(n log n)...
Miklós Ajtai
CORR
2011
Springer
157views Education» more  CORR 2011»
12 years 11 months ago
Large-Scale Convex Minimization with a Low-Rank Constraint
We address the problem of minimizing a convex function over the space of large matrices with low rank. While this optimization problem is hard in general, we propose an efficient...
Shai Shalev-Shwartz, Alon Gonen, Ohad Shamir
COLT
1999
Springer
13 years 11 months ago
Boosting as Entropy Projection
We consider the AdaBoost procedure for boosting weak learners. In AdaBoost, a key step is choosing a new distribution on the training examples based on the old distribution and th...
Jyrki Kivinen, Manfred K. Warmuth