Randomized Jacobian matching implicitly enforces second-order consistency in learned chaotic vector fields at O(d^2) cost without forming the full Hessian.
Tian, Jacobian-Enforced neural networks (JENN) for improved data assimilation consistency in dynamical models, arXiv preprint arXiv:2412.01013 (2024)
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Learning Chaotic Dynamics through Second-Order Geometric Supervision
Randomized Jacobian matching implicitly enforces second-order consistency in learned chaotic vector fields at O(d^2) cost without forming the full Hessian.