Establishes a unifying framework for NEPv/NPDo methods guaranteeing monotonic convergence to stationary points for atomic functions and convex compositions on the Stiefel manifold.
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The paper proves that both HOOI and ASI converge globally to stationary points for Tucker decomposition of complex tensors, with the objective function increasing monotonically under mild conditions.
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A Theory of the NEPv Approach for Optimization On the Stiefel Manifold
Establishes a unifying framework for NEPv/NPDo methods guaranteeing monotonic convergence to stationary points for atomic functions and convex compositions on the Stiefel manifold.
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Convergence Analysis of Two Alternating Iterative Schemes for Tucker Decomposition
The paper proves that both HOOI and ASI converge globally to stationary points for Tucker decomposition of complex tensors, with the objective function increasing monotonically under mild conditions.