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What Is Negative-Shifted Gradient Descent—When the Useful Estimator Is Not an Endpoint
The correction that removes high-dimensional implicit shrinkage can sit exactly at, or beyond, the pole that rules out every stable negative-ridge endpoint. Finite-time dynamics make that region usable.
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The Spectrum Was Known to Be Biased. Why Did PCR Keep Inverting It?
De-floored PCR performs spectral deattenuation by removing an endogenous high-dimensional floor before inversion, in the regime where that floor is large enough to matter yet inexpensive to remove.
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Shrinkage Is Not a Universal Law
Why anisotropic prediction geometry can make selective anti-shrinkage—the expansion of signal-rich directions—the right correction in overparameterized regression.