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» Proving Bounds on Real-Valued Functions with Computations
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JMIV
2010
87views more  JMIV 2010»
14 years 8 months ago
Infinite Photography: New Mathematical Model for High-Resolution Images
A new mathematical image model is introduced using the photographic process as the starting point. Images are represented as infinite sequences of photons allowing analysis at arb...
Tapio Helin, Matti Lassas, Samuli Siltanen
PAMI
2011
14 years 5 months ago
Multiview Stereo and Silhouette Consistency via Convex Functionals over Convex Domains
—We propose a convex formulation for silhouette and stereo fusion in 3D reconstruction from multiple images. The key idea is to show that the reconstruction problem can be cast a...
Daniel Cremers, Kalin Kolev
MST
2010
121views more  MST 2010»
14 years 8 months ago
Entropy of Operators or why Matrix Multiplication is Hard for Depth-Two Circuits
We consider unbounded fanin depth-2 circuits with arbitrary boolean functions as gates. We define the entropy of an operator f : {0, 1}n → {0, 1}m as the logarithm of the maximu...
Stasys Jukna
TCS
2008
14 years 10 months ago
Expanders and time-restricted branching programs
The replication number of a branching program is the minimum number R such that along every accepting computation at most R variables are tested more than once; the sets of variab...
Stasys Jukna
FOCS
2007
IEEE
15 years 1 months ago
Discrepancy and the Power of Bottom Fan-in in Depth-three Circuits
We develop a new technique of proving lower bounds for the randomized communication complexity of boolean functions in the multiparty `Number on the Forehead' model. Our meth...
Arkadev Chattopadhyay