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SUMMARY:Hilbert Johan Kappen (Donder Institute\, Radboud University Nijmeg
 en\, the Netherlands)
DTSTART:20200528T163000Z
DTEND:20200528T173000Z
DTSTAMP:20260423T003258Z
UID:MPML/7
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MPML/7/">Pat
 h integral control theory</a>\nby Hilbert Johan Kappen (Donder Institute\,
  Radboud University Nijmegen\, the Netherlands) as part of Mathematics\, P
 hysics and Machine Learning (IST\, Lisbon)\n\n\nAbstract\nStochastic optim
 al control theory deals with the problem to compute an optimal set of acti
 ons to attain some future goal. Examples are found in many contexts such a
 s motor control tasks for robotics\, planning and scheduling tasks or mana
 ging a financial portfolio. The computation of the optimal control is typi
 cally very difficult due to the size of the state space and the stochastic
  nature of the problem. Special cases for which the computation is tractab
 le are linear dynamical systems with quadratic cost and deterministic cont
 rol problems. For a special class of non-linear stochastic control problem
 s\, the solution can be mapped onto a statistical inference problem. For t
 hese so-called path integral control problems the optimal cost-to-go solut
 ion of the Bellman equation is given by the minimum of a free energy. I wi
 ll give a high level introduction to the underlying theory and illustrate 
 with some examples from robotics and other areas.\n
LOCATION:https://researchseminars.org/talk/MPML/7/
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