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» Imaginaries in Hilbert spaces
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FOCS
2006
IEEE
14 years 1 months ago
Lp metrics on the Heisenberg group and the Goemans-Linial conjecture
We prove that the function d : R3 × R3 → [0, ∞) given by d (x, y, z), (t, u, v) = (t − x)2 + (u − y)2 2 + (v − z + 2xu − 2yt)2 1 2 + (t − x)2 + (u − y)2 1 2 . is ...
James R. Lee, Assaf Naor
ADCM
2010
69views more  ADCM 2010»
13 years 7 months ago
Orthonormal bases with nonlinear phases
For adaptive representation of nonlinear signals, the bank M of real square integrable functions that have nonlinear phases and nonnegative instantaneous frequencies under the ana...
Tao Qian, Rui Wang, Yuesheng Xu, Haizhang Zhang
CORR
2008
Springer
102views Education» more  CORR 2008»
13 years 7 months ago
On some deterministic dictionaries supporting sparsity
We describe a new construction of an incoherent dictionary, referred to as the oscillator dictionary, which is based on considerations in the representation theory of finite groups...
Shamgar Gurevich, Ronny Hadani, Nir A. Sochen
ENTCS
2008
97views more  ENTCS 2008»
13 years 7 months ago
POVMs and Naimark's Theorem Without Sums
duce an abstract notion of POVM within the categorical quantum mechanical semantics in terms act categories. Our definition is justified by two facts: i. we provide a purely graph...
Bob Coecke, Éric Oliver Paquette
COMPUTING
2007
118views more  COMPUTING 2007»
13 years 7 months ago
The construction of good extensible Korobov rules
In this paper we introduce construction algorithms for Korobov rules for numerical integration which work well for a given set of dimensions simultaneously. The existence of such ...
Josef Dick, Friedrich Pillichshammer, Benjamin J. ...