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» On a Geometric Generalization of the Upper Bound Theorem
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NIPS
2008
13 years 7 months ago
On the Complexity of Linear Prediction: Risk Bounds, Margin Bounds, and Regularization
This work characterizes the generalization ability of algorithms whose predictions are linear in the input vector. To this end, we provide sharp bounds for Rademacher and Gaussian...
Sham M. Kakade, Karthik Sridharan, Ambuj Tewari
CRYPTO
2000
Springer
145views Cryptology» more  CRYPTO 2000»
13 years 9 months ago
Nonlinearity Bounds and Constructions of Resilient Boolean Functions
In this paper we investigate the relationship between the nonlinearity and the order of resiliency of a Boolean function. We first prove a sharper version of McEliece theorem for ...
Palash Sarkar, Subhamoy Maitra
COMPGEOM
2004
ACM
13 years 11 months ago
On locally Delaunay geometric graphs
A geometric graph is a simple graph G = (V, E) with an embedding of the set V in the plane such that the points that represent V are in general position. A geometric graph is said...
Rom Pinchasi, Shakhar Smorodinsky
ACISP
2009
Springer
13 years 9 months ago
Efficiency Bounds for Adversary Constructions in Black-Box Reductions
Abstract. We establish a framework for bounding the efficiency of cryptographic reductions in terms of their security transfer. While efficiency bounds for the reductions have been...
Ahto Buldas, Aivo Jürgenson, Margus Niitsoo
DM
2011
191views Education» more  DM 2011»
13 years 14 days ago
Notes on lattice points of zonotopes and lattice-face polytopes
Minkowski’s second theorem on successive minima gives an upper bound on the volume of a convex body in terms of its successive minima. We study the problem to generalize Minkowsk...
Christian Bey, Martin Henk, Matthias Henze, Eva Li...