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A06 - Approximative Bayesian inference and model selection for stochastic differential equations (SDEs)

Principal investigators 

Manfred Opper, TU Berlin

Sebastian Reich, University of Potsdam, Department of Mathematics

Vladimir Spokoiny, Weierstrass-Institute Berlin (WIAS)

 

Funding Period

01.07.2017 – 30.06.2021

 

Open Positions

1 doctoral researcher at UP (Teilzeit 75% TV-L 13 Ost)

1 doctoral researcher at TU Berlin (TV-L 13 Ost)

Please see Open Positions for more details on the application procedure.

Project Description

This project is concerned with Bayesian semi-parametric and fully nonparametric approaches for estimating drift functions in systems of stochastic differential equations (SDEs). We will develop robust and computational efficient sequential Monte Carlo approaches and variational Bayesian methods and will study their convergence rates and approximation properties. We will also derive new methods for Bayesian model selection to decide on the base of available data which prior from a given collection is most appropriate for the SDE estimation problem at hand.

The project will be carried out jointly between the

  1. TU Berlin, where the focus will be on variational Bayesian methods on combined state and drift estimation for SDEs,
  2. the Weierstrass-Institut Berlin, where the focus will be on prior selection for semi- and non-parametric statistics applied to SDEs, and
  3. the University of Potsdam, where the focus will be on sequential Monte Carlo methods for high-dimensional inference problems arising from SDEs.

The two doctoral students will be affiliated to the TU Berlin, Institute of Software Engineering and Theoretical Computer Science and the University of Mathematics, Institute of Mathematics, respectively. Successful candidates should have a Master or Diploma degree in either computer science/machine learning, applied/computational mathematics or statistical physics. The postdoctoral position working on 2. has already been filled

The project will closely collaborate with project A01 (statistics of SPDEs), project A02 (stability and accuracy of particle filters) and several of the more applied projects from Research Area B.

Principal investigators 

Manfred Opper, TU Berlin

Sebastian Reich, University of Potsdam, Department of Mathematics

Vladimir Spokoiny, Weierstrass-Institute Berlin (WIAS)

 

Funding Period

01.07.2017 – 30.06.2021

 

Open Positions

1 doctoral researcher at UP (Teilzeit 75% TV-L 13 Ost)

1 doctoral researcher at TU Berlin (TV-L 13 Ost)

Please see Open Positions for more details on the application procedure.


References: