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Testing Approximate Stationarity Concepts for Piecewise Affine Functions

math.OC · 2025-01-06 · conditional · novelty 8.0

Testing approximate stationarity of piecewise affine functions is NP-hard; an exact Clarke subdifferential sum rule holds under a new polytope compatibility condition; near-approximate stationarity can be certified in oracle-polynomial time.

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  • Testing Approximate Stationarity Concepts for Piecewise Affine Functions math.OC · 2025-01-06 · conditional · none · ref 7

    Testing approximate stationarity of piecewise affine functions is NP-hard; an exact Clarke subdifferential sum rule holds under a new polytope compatibility condition; near-approximate stationarity can be certified in oracle-polynomial time.