Conceptzero-capacity rigidity

Zero-Capacity Rigidity

A theoretical result proved within the random-radius ICM framework. It states that when the radial distribution is atomless and continuous, scaled-polar optimality holds only when the gradient is itself already a scaled column isometry.

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Oct 16

Zero-capacity rigidity shows that under atomless continuous radial distributions, exact scale-extreme optimality can hold only when the gradient is itself already scale-column isometric.

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Zero-capacity rigidity shows that under atomless continuous radial distributions, exact scale-extreme optimality can hold only when the gradient is itself already scale-column isometric.

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