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» Effective Complexity and its Relation to Logical Depth
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CORR
2008
Springer
90views Education» more  CORR 2008»
13 years 4 months ago
Effective Complexity and its Relation to Logical Depth
Abstract--Effective complexity measures the information content of the regularities of an object. It has been introduced by M. Gell-Mann and S. Lloyd to avoid some of the disadvant...
Nihat Ay, Markus Mueller, Arleta Szkola
CORR
2008
Springer
95views Education» more  CORR 2008»
13 years 4 months ago
Depth as Randomness Deficiency
Depth of an object concerns a tradeoff between computation time and excess of program length over the shortest program length required to obtain the object. It gives an unconditio...
Luis Antunes 0002, Armando Matos, Andre Souto, Pau...
AAAI
2008
13 years 6 months ago
A General Method for Reducing the Complexity of Relational Inference and its Application to MCMC
Many real-world problems are characterized by complex relational structure, which can be succinctly represented in firstorder logic. However, many relational inference algorithms ...
Hoifung Poon, Pedro Domingos, Marc Sumner
CORR
2010
Springer
90views Education» more  CORR 2010»
13 years 4 months ago
Logical complexity of graphs: a survey
We discuss the definability of finite graphs in first-order logic with two relation symbols for adjacency and equality of vertices. The logical depth D(G) of a graph G is equal to ...
Oleg Pikhurko, Oleg Verbitsky
CVPR
2008
IEEE
13 years 6 months ago
Recovery of relative depth from a single observation using an uncalibrated (real-aperture) camera
In this paper we investigate the challenging problem of recovering the depth layers in a scene from a single defocused observation. The problem is definitely solvable if there are...
Vinay P. Namboodiri, Subhasis Chaudhuri