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Canonical dual theory applied to a Lennard-Jones potential minimization problem
Mathematical Canonical Duality Theory Mathematical Optimization Lennard-Jones Potential Minimization Problem Global Optimization
2011/9/21
Abstract: The simplified Lennard-Jones (LJ) potential minimization problem is $f(x)=4\sum_{i=1}^N \sum_{j=1,jto} x\in \mathbb{R}^n,$ where...
A generalization of a classical model in contract theory: The agent behavior
contract theory The agent behavior Optimization and Control
2011/9/8
Abstract: We present a first approximation of agent behaviour in a generalized model in contract theory. This model relaxes some of the the assumptions of one of the classical models allowing to inclu...
We extend the descent theory of Colliot-Th´el`ene and Sansuc to arbi-trary smooth algebraic varieties by removing the condition that every invertible regular function is constant. This links the...
Introduction to Optimal Transport Theory
Monge problem linear programming Kantorovich potential existence
2010/12/9
These notes constitute a sort of Crash Course in Optimal Transport Theory. The different
features of the problem of Monge-Kantorovitch are treated, starting from convex duality issues.
The main prop...
Information Geometry and Evolutionary Game Theory
Information Geometry Evolutionary Game Theory
2010/4/8
The Shahshahani geometry of evolutionary game theory is realized as the information geometry of the simplex, deriving from the Fisher information metric of the manifold of categorical probability dist...