Bamdev Mishra

Applied Machine Learning Researcher

A collection of fixed-rank algorithms

List of fixed-rank geometries and algorithms

Optimization on the set of fixed-rank matrices and tensors have seen numerous contributions over the past few years. The driving force has been applications like low-rank matrix/tensor completion, multiclass classification, distance matrix completion problems, to name a few. This requires descriptions of the search space of fixed-rank matrices/tensors directed toward optimization.

This webpage lists the geometries that have been proposed, including specific optimization algorithms.

If you find any omission or you would like to add your codes/work on this page, please do let me know at

The list is outdated as of 2018.


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