## Preprints

K. Ye and L. H. Lim, "Tensor network ranks", 2018,

**submitted**. (arXiv)K. Ye, P. Comom, L. H. Lim, and Y. Qi, ''Topology of tensor ranks", 2018,

**submitted**. (arXiv)T. R. Gao, L. H. Lek and K. Ye, "Semi-Riemannian manifold optimization", 2019, in progress. (arXiv)

K. Ye and L. H. Lim, "The dimension of tensor network states", 2017,

**in progress**.L. H. Lim, S. W. Wong and K. Ye, "Optimization on flag manifolds", 2018,

**in progress**.J. W. Nie, K. Ye and L. H. Zhi, "Tensor decompositions on algebraic varieties", 2019, in progress.

K. Ye and L. H. Lim, "The dimension of tensor network states", 2019, in progress.