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98
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CORR
2010
Springer
143views Education» more  CORR 2010»
15 years 1 months ago
The Complexity of Proving the Discrete Jordan Curve Theorem
The Jordan Curve Theorem (JCT) states that a simple closed curve divides the plane into exactly two connected regions. We formalize and prove the theorem in the context of grid gr...
Phuong Nguyen, Stephen Cook
CORR
2008
Springer
117views Education» more  CORR 2008»
15 years 16 days ago
Low-Complexity LDPC Codes with Near-Optimum Performance over the BEC
Recent works showed how low-density parity-check (LDPC) erasure correcting codes, under maximum likelihood (ML) decoding, are capable of tightly approaching the performance of an i...
Enrico Paolini, Gianluigi Liva, Michela Varrella, ...
125
Voted
TNN
2011
129views more  TNN 2011»
14 years 8 months ago
Minimum Complexity Echo State Network
—Reservoir computing (RC) refers to a new class of state-space models with a fixed state transition structure (the “reservoir”) and an adaptable readout form the state space...
Ali Rodan, Peter Tino
ICCS
2007
Springer
15 years 7 months ago
Towards a Complex Automata Framework for Multi-scale Modeling: Formalism and the Scale Separation Map
Complex Automata were recently proposed as a paradigm to model multi-scale complex systems. The concept is formalized and the scale separation map is further investigated in relati...
Alfons G. Hoekstra, Eric Lorenz, Jean-Luc Falcone,...
91
Voted
LICS
1999
IEEE
15 years 5 months ago
Some Decision Problems of Enormous Complexity
We present some new decision and comparison problems of unusually high computational complexity. Most of the problems are strictly combinatorial in nature; others involve basic lo...
Harvey Friedman