SNAP algorithm finds approximate SOSPs for non-convex linearly constrained problems in O(1/ε^{2.5}) iterations with polynomial per-iteration complexity by leveraging strict complementarity on generic instances.
PA-GD: On the convergence of perturbed alternating gradient descent to second-order stationary points for structured nonconvex o ptimization,
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SNAP: Finding Approximate Second-Order Stationary Solutions Efficiently for Non-convex Linearly Constrained Problems
SNAP algorithm finds approximate SOSPs for non-convex linearly constrained problems in O(1/ε^{2.5}) iterations with polynomial per-iteration complexity by leveraging strict complementarity on generic instances.