**Speaker:** Ming Yuan (Columbia)

**Title:** Spectral Learning for High Dimensional Tensors\\

**Abstract:** Matrix perturbation bounds developed by Weyl, Davis, Kahan and Wedin and others play a central role in many statistical and machine learning problems. I shall discuss some of the recent progresses in developing similar bounds for higher order tensors. I will highlight the intriguing differences from matrices, and explore their implications in spectral learning problems.