Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Tensor train completion: local recovery guarantees via Riemannian
  optimization   In this work we estimate the number of randomly selected elements of a tensor
that with high probability guarantees local convergence of Riemannian gradient
descent for tensor train completion. We derive a new bound for the orthogonal
projections onto the tangent spaces based on the harmonic mean of the
unfoldings' singular values and introduce a notion of core coherence for tensor
trains. We also extend the results to tensor train completion with side
information and obtain the corresponding local convergence guarantees.

30
The categories of this paper are: q-alg
27
The categories of this paper are: comp-gas
35
The categories of this paper are: mtrl-th
23
The categories of this paper are: solv-int
5
The categories of this paper are: gr-qc
33
The categories of this paper are: plasm-ph
4
The categories of this paper are: cond-mat
37
The categories of this paper are: supr-con
26
The categories of this paper are: bayes-an
20
The categories of this paper are: acc-phys
29
The categories of this paper are: funct-an
32
The categories of this paper are: atom-ph
28
The categories of this paper are: alg-geom
14
The categories of this paper are: math-ph
7
The categories of this paper are: hep-th
34
The categories of this paper are: chem-ph