Probabilistic Guarantees for Low-Rank Tensor Decompositions
Explore the source record for details and available documents.
Llosa, Carlos↗
Engineering topics
Llosa, Carlos
Publications and source records attributed to Llosa, Carlos.
The Average Spectrum Norm and Near-Optimal Tensor Completion
We propose the average spectrum norm to study the minimum number of measurements required to approximate a multidimensional array (i.e., sample complexity) via low-rank tensor recovery. Our focus is on the tensor completion problem, where the aim is to estimate a multiway array using a subset of tensor entries corrupted by noise. Our average spectrum norm-based analysis provides near-optimal sample complexities, exhibiting dependence on the ambient dimensions and rank that do not suffer from exponential scaling as the order increases.
97 MATHEMATICS AND COMPUTING↗
The Poisson Canonical Polyadic Tensor Model as a Latent-Variable Model
Explore the source record for details and available documents.
Llosa, Carlos↗