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SBF
  • Member for 13 years, 11 months
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Is there an easy way to convert a non-deterministic optimal policy to a deterministic optimal policy for a given MDP?
Can't you just follow a greedy policy in this case? AFAIK, optimal non-deterministic policy is any probability measure on maximal set of the value function, so picking just any point there would suffice.
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Infinitesimal generator and stationarity
What exactly does your "moreover" statement mean?
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Conditions for existence of dominating $\sigma$-finite measure for all conditional distributions
One sufficient condition (even though trivial, perhaps) is that if $P \in Q$ and $P' \ll P$ then $P' \in Q$
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Generalizations of the Birkhoff-von Neumann Theorem
Can you provide a reference to the last sentence? Namely, what are the extreme points here. Related to this question
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Extreme couplings
@michael: afaik in the discrete case there is going to be a finite number of extreme points, however no, I don't know how to describe them nicely.
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Bounds on Wasserstein (Kantorovich) distance
@FedorPetrov: a typo, $\lambda = \gamma$
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Bounds on Wasserstein (Kantorovich) distance
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Bounds on Wasserstein (Kantorovich) distance
@NateEldredge: added. True for the $\nu$, and $P$ is the joint distribution with the left marginal $\mu$ and conditional probability $P$.
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Bounds on Wasserstein (Kantorovich) distance
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Stochastic equation
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Euler-like identity for partition function
Would it be of any help that $f(x)f(-x) = f(x^2)$?
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