Symmetric Hermite quadrature-based balanced truncation for learning linear dynamical systems from derivative data

arXiv:2606.00298 · math.NA, cs.LG, cs.NA, cs.SY, eess.SY, math.DS, math.OC · Submitted 2026-05-29 · Read on arXiv

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

Submitted: 2026-05-29

Updated: 2026-05-29

Comments: 14 pages, 2 figures, 4 tables

Journal ref: Proc. Appl. Math. Mech., 26(4):e70191, 2026

DOI: 10.1002/pamm.70191

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

Terminology

• Benchmark — 9× in this paper · explained in 2 episodes
• Accuracy — 1× in this paper · explained in 1 episode
• Fidelity — 1× in this paper · explained in 2 episodes
• Generalization — 1× in this paper · explained in 13 episodes
• Verification — 1× in this paper · explained in 2 episodes

Sources

• Data-driven balanced truncation for second-order systems with generalized proportional damping

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