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#weak-formulation

Robust data-driven discovery of fractional differential equations via weak formulations and Pareto-based subset selection

arXiv cs.LG ↗ · 2026-08-14 Cached

The paper introduces Weak-Pareto, a method that uses adjoint-consistent weak formulations and Pareto-based subset selection to discover fractional differential equations from noisy data, recovering parsimonious structures robustly across benchmarks.

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#weak-formulation

Learning dynamical systems from noisy data with Weak-form Kernel Ridge Regression

arXiv cs.LG ↗ · 2026-07-02 Cached

Introduces Weak-form Kernel Ridge Regression (WKRR) for learning dynamical systems from noisy measurements, combining a weak formulation with kernel ridge regression to filter noise and improve accuracy. The method outperforms baseline methods on chaotic benchmarks up to 64 dimensions and 15,000-dimensional real-world fluid data.

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