LA-TNKM applies a linearized Laplace approximation to tensor network kernel machines for Bayesian inference, matching or exceeding Gaussian processes and Bayesian neural networks on UCI regression tasks.
rΦgpvqs n “ I D ÿ i“1 Φnigi pvq “ Iÿ i1 . . . Iÿ iD Φp1q ni1 . . .Φ pDq niD Rÿ r“1 V p1q i1r . . . V pDq iDr “ Iÿ id Rÿ r“1 Φpdq nid V pdq idr
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Laplace Approximation for Bayesian Tensor Network Kernel Machines
LA-TNKM applies a linearized Laplace approximation to tensor network kernel machines for Bayesian inference, matching or exceeding Gaussian processes and Bayesian neural networks on UCI regression tasks.