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20 Feb 2018: Q(b,a) GP (0,k((b,a), (b,a))). (41). The kernel k(, ) is often factored into separate kernels over the belief state and actionspaces kB(b,

20 Feb 2018: function,Q(b, a) GP (0, k((b, a), (b, a))) wherethe kernelk(, ) is factored into separate kernels over thesummary state and action spaceskB(b, b)kA(a, a).

20 Feb 2018: k(b,a,b′,a′) = kB(b,b′)kA(a,a. ′). (3). In addition, if we assume additive noise in the Q-function, Q(b,a) N(0,σ2), the following ... kA(a,a′) = 1 δa(a′) (14). where δa(a′) = 1 iff a = a′.For the full-space systems, the kernel function

20 Feb 2018: kA(a,a′). For a sequence of belief state-. action pairs Bt = [(b0,a0),. ... For the action space kernel, the δ-kernel is useddefined by:. kA(a,a′) = δa(a. ′).

20 Feb 2018: is factored into separate kernels over thesummary state and action spaces kC(c,c′)kA(a,a′).

20 Feb 2018: and action spaces kB(b, b′)kA(a,a′)and Qπ(b,a) N(0,σ2) is Gaussian noise, Gaussian pro-cess regression [22] can be applied to find the posterior

13 Mar 2018: a keypoint kA in A which matches kBin B is kept if kB matches kA and vice versa).

13 Mar 2018: A Probabilistic Framework for Space Carving. A. Broadhurst, T.W. Drummond and R. CipollaDepartment of EngineeringUniversity of CambridgeCambridge, UK CB2 1PZ. Abstract. This paper introduces a new probabilistic framework forSpace Carving [9]. In

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