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» On the complexity of communication complexity
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COLT
2007
Springer
16 years 20 days ago
Generalised Entropy and Asymptotic Complexities of Languages
Abstract. In this paper the concept of asymptotic complexity of languages is introduced. This concept formalises the notion of learnability in a particular environment and generali...
Yuri Kalnishkan, Vladimir Vovk, Michael V. Vyugin
ICCS
2007
Springer
16 years 19 days 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,...
ISCAS
2005
IEEE
91views Hardware» more  ISCAS 2005»
16 years 2 days ago
Synchronization: a fundamental phenomenon in complex dynamical networks
— It is well known that complex networks have become a very important part of our daily lives and have been intensively studied in all fields over the last few years. This paper...
Jinhu Lu, Henry Leung
COMPGEOM
2010
ACM
15 years 11 months ago
Better bounds on the union complexity of locally fat objects
We prove that the union complexity of a set of n constantcomplexity locally fat objects (which can be curved and/or non-convex) in the plane is O(λt+2(n) log n), where t is the m...
Mark de Berg
LICS
1999
IEEE
15 years 10 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