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FOCS
2007
IEEE
15 years 3 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
132
Voted
SSD
2007
Springer
243views Database» more  SSD 2007»
15 years 3 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»
15 years 9 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»
14 years 1 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
72
Voted
COLT
1999
Springer
15 years 1 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