Second-order AAA algorithms for structured data-driven modeling

arXiv:2506.02241 · math.NA, cs.LG, cs.NA, cs.SY, eess.SY, math.DS, math.OC · Submitted 2025-06-02 · Read on arXiv

math.NA, cs.LG, cs.NA, cs.SY, eess.SY, math.DS, math.OC

Submitted: 2025-06-02

Updated: 2025-06-02

Comments: 37 pages, 6 figures, 3 tables

Journal ref: Adv. Comput. Math., 52(5):76, 2026

DOI: 10.1007/s10444-026-10347-y

License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Terminology

• AAA algorithm — 79× in this paper · explained in 1 episode
• Accuracy — 18× in this paper · explained in 1 episode
• Objective Function — 7× in this paper · explained in 2 episodes
• Adaptive Antoulas-Anderson — 3× in this paper
• Digital Twin — 3× in this paper · explained in 5 episodes
• Fidelity — 2× in this paper · explained in 2 episodes
• Benchmark — 1× in this paper · explained in 2 episodes
• Core — 1× in this paper · explained in 2 episodes
• Electrical Performance of Electronic Packaging and Systems — 1× in this paper
• Frequency Dependence — 1× in this paper · explained in 2 episodes
• Quantum Physics — 1× in this paper · explained in 11 episodes
• Robustness — 1× in this paper · explained in 5 episodes

Sources

• A short tutorial on Wirtinger Calculus with applications in quantum information
• The Complex Gradient Operator and the CR-Calculus

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