2000 character limit reached
Comment on "Machine learning conservation laws from differential equations" (2404.02896v3)
Published 3 Apr 2024 in cs.LG
Abstract: The paper [1] by Liu, Madhavan, and Tegmark sought to use machine learning methods to elicit known conservation laws for several systems. However, in their example of a damped 1D harmonic oscillator they made seven serious errors, causing both their method and result to be incorrect. In this Comment, those errors are reviewed.
- M. F. Zimmer, arXiv preprint arXiv:2110.06917v2 (2021), (See Appendix C).
- E. D. Rainville and P. E. Bedient, Elementary Differential Equations, 6th ed. (Macmillan Publishing Co., 1981).
- MIT Open Courseware, “Differential equations (18.03sc),” (2011).
- P. J. Olver and C. Shakiban, Applied Linear Algebra, 2nd ed. (Springer, 2006).
- Wikipedia contributors, “Complex logarithm,” (2024), [Online accessed April 2, 2024].
- Numpy API Reference, arctan2 (numpy.org) (2023).
- M. F. Zimmer, arXiv preprint arXiv:2403.19418 (2024).