Tensor network states have in recent years emerged as a powerful theoretical tool to study quantum collective phenomena. Some of the most popular tensor networks, such as the matrix product state (MPS), the multi-scale entanglement renormalization ansatz (MERA), and the projected entangled-pair states (PEPS), are currently used by many groups as the basis for variational approaches to many-body systems. However, the tensor network formalism goes well beyond numerical methods, and it is also used e.g., as a natural framework to classify phases of quantum matter, or as a lattice realization of the holographic principle of string theory.Continuingthe efforts of the four preceding workshops in the series held at Taipei (Dec. 2013), Beijing (Dec. 2014), Aichi (Jan. 2016), Hsinchu (Dec.2016), this workshop will bring together experts on tensor network algorithmsand their wide applications to share the latest results and progress.This workshop is by invitation only. However we also welcome public participation.