A slice-sampled tensor can be reconstructed by jointly fitting a known basis along the trajectory and kernel interpolation between slices inside a low-rank Tucker model.
Quasi polynomial and interpolative models for tensor approximation,
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Structured Tensor Approximation from Lateral Slice Sampling via Basis and Manifold Priors
A slice-sampled tensor can be reconstructed by jointly fitting a known basis along the trajectory and kernel interpolation between slices inside a low-rank Tucker model.