An ML search for Lax connections recovers known spectral-parameter families in SU(2) PCM and S^2, but the low-loss candidate found for the non-symmetric coset T^{1,1} is a fake Lax connection, not a genuine integrability structure.
Lax-Pair-FIND: Discovering Lax pair from scarce data via deep learning,
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Machine-Learning Search for Lax Connections
An ML search for Lax connections recovers known spectral-parameter families in SU(2) PCM and S^2, but the low-loss candidate found for the non-symmetric coset T^{1,1} is a fake Lax connection, not a genuine integrability structure.