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Evaluating Morphological Computation in Muscle and DC-motor Driven Models of Human Hopping
Keyan Ghazi-Zahedi, Daniel F. B. Haeufle, Guido Montufar +2
In the context of embodied artificial intelligence, morphological computation refers to processes which are conducted by the body (and environment) that otherwise would have to be…
Dimension of Marginals of Kronecker Product Models
Guido Montufar, Jason Morton
A Kronecker product model is the set of visible marginal probability distributions of an exponential family whose sufficient statistics matrix factorizes as a Kronecker product of…
Hierarchical Models as Marginals of Hierarchical Models
Guido Montufar, Johannes Rauh
We investigate the representation of hierarchical models in terms of marginals of other hierarchical models with smaller interactions. We focus on binary variables and marginals of…
Geometry and Determinism of Optimal Stationary Control in Partially Observable Markov Decision Processes
Guido Montufar, Keyan Ghazi-Zahedi, Nihat Ay
It is well known that for any finite state Markov decision process (MDP) there is a memoryless deterministic policy that maximizes the expected reward. For partially observable Mar…
Mode Poset Probability Polytopes
Guido Montufar, Johannes Rauh
A mode of a probability vector is a local maximum with respect to some vicinity structure on the set of elementary events. The mode inequalities cut out a polytope from the simplex…