Determinant-one SPD action fibers form a global analytic totally geodesic bundle whose AIRM nearest controller is computable by a residual-gradient iteration with posterior certificates and recovers inverse-Hessian shape at rank d-1.
Wenzhi Gao, Zhaonan Qu, Madeleine Udell, and Yinyu Ye
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Optimization Geometrodynamics: Variational Reduction and Interaction Curvature
Determinant-one SPD action fibers form a global analytic totally geodesic bundle whose AIRM nearest controller is computable by a residual-gradient iteration with posterior certificates and recovers inverse-Hessian shape at rank d-1.