A Riemannian Optimization Approach to Clustering Problems

This paper considers the optimization problem min X ∈ F v f ( X ) + λ ‖ X ‖ 1 , where f is smooth, F v = { X ∈ R n × q : X T X = I q , v ∈ span ( X ) } , and v is a given positive vector. The clustering models including but not limited to the models used by k -means, community detection, and normali...

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