This preprint demonstrates inverse local singularity detection, indicating a method for stable recovery of singular structures.
This preprint studies inverse local singularity detection using adjacent derivative ratios in derivative-order ladders. It provides an inverse classification of local singularities by deriving resonance inversion formulas and singular staircase deflation schemes. The work shows how to recover canonical germ structures exactly from finite adjacent derivative ratios and establishes stable recovery laws for singularities.
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Mohammad Abu-Ghuwaleh (2026) studied this question.
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