We consider a dynamical system with small noise where the drift is parametrized by a finite dimensional parameter. For this model we consider minimum distance estimation from continuous time observations under some penalty imposed on the parameters in the spirit of the Lasso approach. This...

The aim of this article is to show a simple way to construct asymptotic minimax lower bounds for risks based on different types of quadratic loss functions in semiparametric inference problems. For the sake of clarity, we consider the simple case of the state estimation of a dynamical system...

The aim of this article is to show a simple way to construct asymptotic minimax lower bounds for risks based on different types of quadratic loss functions in semiparametric inference problems. For the sake of clarity, we consider the simple case of the state estimation of a dynamical system...

In this paper inverse problems for iterated function systems are studied by optimization techniques. Some extentions to place dependent probabilities are also studied.