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» On Approximating the Entropy of Polynomial Mappings
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ECCC
2010
86views more  ECCC 2010»
13 years 4 months ago
On Approximating the Entropy of Polynomial Mappings
We investigate the complexity of the following computational problem: Polynomial Entropy Approximation (PEA): Given a low-degree polynomial mapping p : Fn Fm , where F is a finite...
Zeev Dvir, Dan Gutfreund, Guy N. Rothblum, Salil P...
FOCS
2008
IEEE
13 years 11 months ago
Sketching and Streaming Entropy via Approximation Theory
We give near-optimal sketching and streaming algorithms for estimating Shannon entropy in the most general streaming model, with arbitrary insertions and deletions. This improves ...
Nicholas J. A. Harvey, Jelani Nelson, Krzysztof On...
CDC
2009
IEEE
150views Control Systems» more  CDC 2009»
13 years 9 months ago
Cooperative adaptive sampling via approximate entropy maximization
— This work deals with a group of mobile sensors sampling a spatiotemporal random field whose mean is unknown and covariance is known up to a scaling parameter. The Bayesian pos...
Rishi Graham, Jorge Cortés
NIPS
1998
13 years 6 months ago
A Phase Space Approach to Minimax Entropy Learning and the Minutemax Approximations
There has been much recent work on measuring image statistics and on learning probability distributions on images. We observe that the mapping from images to statistics is many-to...
James M. Coughlan, Alan L. Yuille
ICASSP
2007
IEEE
13 years 11 months ago
Raw Image Encoding Based on Polynomial Approximation
In this paper, we propose a coding algorithm for raw images with high dynamic ranges. Our encoder has two layers. In the first layer, 24 bit low dynamic range image is encoded by...
Masahiro Okuda, Nicola Adami