For the quartic-quadratic sphere problem, the paper characterizes all local minima in the diagonal case, proves strict-saddle properties for extreme beta, and establishes a Kurdyka-Lojasiewicz exponent of 1/4.
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On The Geometric Analysis of A Quartic-quadratic Optimization Problem under A Spherical Constraint
For the quartic-quadratic sphere problem, the paper characterizes all local minima in the diagonal case, proves strict-saddle properties for extreme beta, and establishes a Kurdyka-Lojasiewicz exponent of 1/4.