Automatic denoising and differentiation based on Savitzky-Golay filtering and Homogeneous Differentiators for attractor reconstruction via differential embedding

arXiv:2609.18631 · q-bio.QM, eess.SP · Submitted 2026-09-16 · Read on arXiv

q-bio.QM, eess.SP

Submitted: 2026-09-16

Updated: 2026-09-16

Code: https://github.com/Uros-S/SHADED

Terminology

• Embeddings — 49× in this paper · explained in 2 episodes
• Accuracy — 9× in this paper · explained in 1 episode
• Homogeneous Differentiators — 5× in this paper
• Benchmark — 4× in this paper · explained in 2 episodes
• Persistent Homology — 4× in this paper · explained in 3 episodes
• Core — 3× in this paper · explained in 2 episodes
• Dynamical regimes — 3× in this paper · explained in 2 episodes
• System Identification — 3× in this paper · explained in 3 episodes
• Consistency — 2× in this paper · explained in 3 episodes
• Higher-order derivatives — 2× in this paper · explained in 2 episodes
• Robustness — 2× in this paper · explained in 5 episodes
• Adaptation — 1× in this paper · explained in 1 episode
• Computational Biology — 1× in this paper · explained in 2 episodes
• Dynamic Modeling — 1× in this paper · explained in 3 episodes
• Feature Extraction — 1× in this paper · explained in 2 episodes
• Fidelity — 1× in this paper · explained in 2 episodes
• International Conference on Automation Science and Engineering — 1× in this paper
• Sparsity — 1× in this paper · explained in 4 episodes
• Theoretical Guarantees — 1× in this paper · explained in 2 episodes
• alpha — 1× in this paper · explained in 1 episode

Sources

• A Taxonomy of Numerical Differentiation Methods

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