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Towards a data-scale independent regulariser for robust sparse identification of non-linear dynamics

Data normalisation, a common and often necessary preprocessing step in engineering and scientific applications, can severely distort the discovery of governing equations by magnitudebased sparse regression methods. This issue is particularly acute for the Sparse Identification of Nonlinear Dynamics (SINDy) framework, where the core assumption of sparsity is undermined by the interaction between data scaling and measurement noise. The resulting discovered models can be dense, uninterpretable, and physically incorrect. To address this critical vulnerability, we introduce the Sequential Thresholding of Coefficient of Variation (STCV), a novel, computationally efficient sparse regression algo...

AuthorsJay Raut, Daniel N. Wilke, Stephan Schmidt
Primary categorycs.LG
Published5 March 2026
Last updated at source5 March 2026
cs.LGstat.ML
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