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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,j
Algorithmic and Complexity Results for Cutting Planes Derived from Maximal Lattice-Free Convex Sets
Algorithmic and Complexity Results Maximal Lattice-Free Convex Sets Optimization and Control
2011/9/20
Abstract: We study a mixed integer linear program with m integer variables and k non-negative continuous variables in the form of the relaxation of the corner polyhedron that was introduced by Anderse...
Payoff-based Inhomogeneous Partially Irrational Play for Potential Game Theoretic Cooperative Control of Multi-agent Systems
potential game learning algorithm cooperative control multi-agent system
2011/10/9
Abstract: This paper handles a kind of strategic game called potential games and develops a novel learning algorithm Payoff-based Inhomogeneous Partially Irrational Play (PIPIP). The present algorithm...
A New Stability Result for the Feedback Interconnection of Negative Imaginary Systems with a Pole at the Origin
Feedback Interconnection Negative Imaginary Systems Pole Origin
2011/9/16
Abstract: This paper is concerned with stability conditions for the positive feedback interconnection of negative imaginary systems. A generalization of the negative imaginary lemma is derived, which ...
Abstract: We prove the interior and boundary null-controllability of some parabolic evolutions with controls acting over measurable sets.
Adaptive Learning of Uncontrolled Restless Bandits with Logarithmic Regret
Uncontrolled Restless Bandits Logarithmic Regret Optimization and Control
2011/9/15
Abstract: In this paper we consider the problem of learning the optimal policy for the uncontrolled restless bandit problem. In this problem only the state of the selected arm can be observed, the sta...
Convergence results in continuous-time quantized consensus
Convergence results continuous-time quantized consensus Optimization and Control
2011/9/15
Abstract: This note studies a network of agents having continuous-time dynamics with quantized interactions and time-varying topology. We show that under a mild connectivity condition, the agents reac...
Convergence of the Gauss-Newton method for convex composite optimization under a majorant condition
the Gauss-Newton method convex composite optimization Optimization and Control
2011/9/15
Abstract: Under the hypothesis that an initial point is a quasi-regular point, we use a majorant condition to present a new semi-local convergence analysis of an extension of the Gauss-Newton method f...
On a Devil's staircase associated to the joint spectral radii of a family of pairs of matrices
Joint spectral radius Devil’s staircase finiteness conjecture Sturmian sequence balanced word
2011/9/14
Abstract: The joint spectral radius of a finite set of real d x d matrices is defined to be the maximum possible exponential rate of growth of products of matrices drawn from that set. In previous wor...
Tchebycheff systems and extremal problems for generalized moments: a brief survey
Tchebycheff systems extremal problems brief survey Optimization and Control
2011/9/14
Abstract: A brief presentation of basics of the theory of Tchebycheff and Markov systems of functions and its applications to extremal problems for integrals of such functions is given. The results, a...
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...
Iteration Complexity of Randomized Block-Coordinate Descent Methods for Minimizing a Composite Function
Block coordinate descent iteration complexity composite minimization coordinate relaxation alternating minimization
2011/9/6
Abstract: In this paper we develop a randomized block-coordinate descent method for minimizing the sum of a smooth and a simple nonsmooth block-separable convex function and prove that it obtains an $...
A global Monte-Carlo method for fitting parameters of differential equation models
global Monte-Carlo method fitting parameters Quantitative Methods
2011/10/8
Abstract: Finding the parameter values of differential equation models from data is an important part of the modelling process. Large models and sparse data often make the parameters very difficult to...
On the Convergence of a Multi-Agent Projected Stochastic Gradient Algorithm
Multi-Agent Projected Stochastic Gradient Algorithm Optimization and Control
2011/9/5
Abstract: We introduce a new framework for the convergence analysis of a class of distributed constrained non-convex optimization algorithms in multi-agent systems. The aim is to search for local mini...
Provably Safe and Robust Learning-Based Model Predictive Control
Learning control systems robustness stability statistics Optimization and Control
2011/9/5
Abstract: Controller design for systems typically faces a trade-off between robustness and performance, and the reliability of linear controllers has caused many control practitioners to focus on the ...