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AAAI
2008
13 years 7 months ago
Mathematical Modeling and Convergence Analysis of Trail Formation
An ant deposits pheromone along the path that it travels and is more likely to choose a path with a higher concentration of pheromone. The sensing and dropping of pheromone makes ...
Sameena Shah, Ravi Kothari, Jayadeva, Suresh Chand...
ATAL
2009
Springer
13 years 11 months ago
A mathematical analysis of collective cognitive convergence
Multi-agent systems are an attractive approach to modeling systems of interacting entities, but in some cases mathematical models of these systems can offer complementary benefits...
H. Van Dyke Parunak
ITS
2000
Springer
135views Multimedia» more  ITS 2000»
13 years 8 months ago
Analyzing and Generating Mathematical Models: An Algebra II Cognitive Tutor Design Study
This paper reports a formative analysis of a Math Modeling Tool in the Algebra II Cognitive Tutor. This tutor is designed to support algebraic reasoning about real world problems. ...
Albert T. Corbett, Megan McLaughlin, K. Christine ...
GECCO
2008
Springer
158views Optimization» more  GECCO 2008»
13 years 5 months ago
Convergence analysis of quantum-inspired genetic algorithms with the population of a single individual
In this paper, the Quantum-inspired Genetic Algorithms with the population of a single individual are formalized by a Markov chain model using a single and the stored best individ...
Mehrshad Khosraviani, Saadat Pour-Mozafari, Mohamm...
CORR
2004
Springer
133views Education» more  CORR 2004»
13 years 4 months ago
Mathematical Analysis of Multi-Agent Systems
We propose a general mathematical methodology for studying the dynamics of multiagent systems in which complex collective behavior arises out of local interactions between many si...
Kristina Lerman, Aram Galstyan, Tad Hogg