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Nonlinear objectives, nonlinear constraints, non-convex objective, non-convex feasible region.

1 vote

Intuition on a certain class of quadratic optimization problems

For $K=2$, because unitaries preserve Frobenius norm, we can assume our two vectors lie in the plane $\mathbb R^2$, and their image under $M$ also lies in the plane $\mathbb R^2$. So hopes for geometr …
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14 votes
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How many saddle points can a quartic polynomial in two real variables have? All 9?

By (3.1) of Counting Critical Points of Real Polynomials in Two Variables by Alan Durfee, Nathan Kronefeld, Heidi Munson, Jeff Roy, Ina Westby a degree $d$ polynomial with only nondegenerate critical …
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