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» On the Hamkins approximation property
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TIT
2010
171views Education» more  TIT 2010»
13 years 5 months ago
Analysis of orthogonal matching pursuit using the restricted isometry property
Orthogonal matching pursuit (OMP) is the canonical greedy algorithm for sparse approximation. In this paper we demonstrate that the restricted isometry property (RIP) can be used f...
Mark A. Davenport, Michael B. Wakin
ACISP
2004
Springer
14 years 4 months ago
Weak Property of Malleability in NTRUSign
A new type of signature scheme, called NTRUSign, based on solving the approximately closest vector problem in a NTRU lattice was proposed at CT-RSA’03. However no security proof ...
SungJun Min, Go Yamamoto, Kwangjo Kim
CATS
2007
14 years 11 days ago
Some Structural and Geometric Properties of Two-Connected Steiner Networks
We consider the problem of constructing a shortest Euclidean 2-connected Steiner network (SMN) for a set of terminals. This problem has natural applications in the design of survi...
K. Hvam, L. Reinhardt, Pawel Winter, Martin Zachar...
CORR
2007
Springer
93views Education» more  CORR 2007»
13 years 11 months ago
Intrinsic dimension of a dataset: what properties does one expect?
— We propose an axiomatic approach to the concept of an intrinsic dimension of a dataset, based on a viewpoint of geometry of high-dimensional structures. Our first axiom postul...
Vladimir Pestov
TALG
2008
81views more  TALG 2008»
13 years 10 months ago
Ordinal embeddings of minimum relaxation: General properties, trees, and ultrametrics
We introduce a new notion of embedding, called minimum-relaxation ordinal embedding, parallel to the standard notion of minimum-distortion (metric) embedding. In an ordinal embedd...
Noga Alon, Mihai Badoiu, Erik D. Demaine, Martin F...