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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...
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...