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Bayesian Reinforcement Learning (RL) is capable of not only incorporating domain knowledge, but also solving the exploration-exploitation dilemma in a natural way. As Bayesian RL is intractable except...
We study the problem of learning Markov decision processes with finite state and action spaces when the transition probability distributions and loss functions are chosen adversarially and are allowed...
We introduce a new geometric approach that constructs a transition kernel of Markov chain. Our method always minimizes the average rejection rate and even reduce it to zero in many relevant cases, whi...
We investigate the dynamical transition from free-flow to jammed traffic, which is related to the divergence of the relaxation time and susceptibility of the energy dissipation rate $E_d$, in the Nage...
We study positive measures that are solutions to an abstract optimisation problem, which is a generalisation of a classical variational problem with a constraint on information of a Kullback-Leibler t...
In this paper, suTTicient conditions for the existence of (a-finite) invariant measures for a class of Markov chains with random transition probabilities are given. A special class of Markov chains ...
In this paper, we study the following model of hidden Markov chain: $Y_i=X_i+varepsilon_i$, $ i=1,dots,n+1$ with $(X_i)$ a real-valued stationary Markov chain and $(varepsilon_i)_{1leq ileq n+1}$ a no...
We present general results for the contact process by a method which applies to all transitive graphs of bounded degree, including graphs of exponential growth. The model infection rates are varied th...
Let $B$ be a Borel subset of $R^d$ and let $p(t,x,y)$ be the transition densities of Brownian motion killed on leaving $B$. Fix $x$ and $y$ in $B$. If $p(t,x,y)$ is positive for one $t$, it is positiv...
This paper provides transition probability estimates of transient reversible Markov chains. The key condition of the result is the spatial symmetry and polynomial decay of the Green's function of the ...
We show that there exist Lévy processes (X_t,t ≥ 0) and reals y>0 such that for small t, the probability P(X_t> y) has an expansion involving fractional powers or more general functions of t. This con...
We show that there exist Lévy processes (X_t,t ≥ 0) and reals y>0 such that for small t, the probability P(X_t> y) has an expansion involving fractional powers or more general functions of t. This con...

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