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cs.CV2026
Stability and Concentration in Nonlinear Inverse Problems with Block-Structured Parameters: Lipschitz Geometry, Identifiability, and an Application to Gaussian Splatting
Joe-Mei Feng, Hsin-Hsiung Kao
We develop an operator-theoretic framework for stability and statistical concentration in nonlinear inverse problems with block-structured parameters. Under a unified set of assump…
cs.CV2026
The Geometric Observability Index: Influence, Fisher Information, and Weak Observability in SE(3) Pose Estimation
Joe-Mei Feng, Hsin-Hsiung Kao, Sheng-Wei Yu
We introduce the Geometric Observability Index (GOI), a per-feature sensitivity measure for pose estimation on SE(3): the metric norm of the pose perturbation that a single measure…