From the 2 of 4 linked papers with an AI index.
4 papers
Structured Preconditioning in Affine-Invariant Geometry: Projection, Certificates, and Kronecker Separation
Zavier Li
The paper analyzes the relationship between affine‑invariant projection and optimal Kronecker‑structured preconditioning for positive‑definite matrices, proving that the unique pro…
Restricted Dynamic Geometric Complexity: Path-Space Reduction and Möbius--Jacobi Response
Zavier Li
The paper introduces a framework for measuring the geometric effort needed to adjust preconditioners by defining a path‑space value problem that seeks the shortest affine‑invariant…
Optimization Geometrodynamics: Variational Reduction and Interaction Curvature
Zavier Li
Adaptive optimizers carry hidden states that change how visible gradients become parameter motion. We develop optimization geometrodynamics as a variational theory of this hidden g…
Causal Optimizer Interaction Calculus: Hidden Geometric Relaxation and Identifiable Interventions
Zavier Li
Optimizer experiments observe responses to algorithmic configurations without uniquely revealing hidden mechanisms. We develop a causal optimizer interaction calculus that separate…