Author

Zavier Li

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Jul 2026

Causal Optimizer Interaction Calculus: Hidden Geometric Relaxation and Identifiable Interventions

A causal optimizer interaction calculus that separates pathwise realization, Mobius decomposition, and experimental identification is developed and an observable-readout transfer theorem is proved: arbitrary smooth update or trace readouts inherit an explicit five-term interaction through first and second hidden respon...

Zavier Li · arXiv.org · 0 citations

Preprint Jul 2026

Structured Preconditioning in Affine-Invariant Geometry: Projection, Certificates, and Kronecker Separation

Nearest structured approximation and best structured preconditioning solve different matrix optimization problems. We determine their exact relation for Kronecker positive-definite matrices under the affine-invariant Riemannian metric. The Kronecker family is closed and geodesically convex, so every full matrix has a u...

Zavier Li · 0 citations