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n-TangentProp: A Quasilinear Algorithm for Taking Derivatives of Neural Networks

Student-Run Research Seminar

Speaker: Kyle Chickering, UC Davis
Related Webpage: math.ucdavis.edu/~krc
Location: 3106 MSB
Start time: Wed, Jan 29 2025, 12:10PM

Physics-informed neural networks are a numerical method which uses deep learning to compute the solution to differential equations. After enjoying a two-year period of feverish interest, recent work has critcized the field for not producing any substantial results, encouraging computationally inefficiency, and lacking theoretical justifictaion.

In this talk we discuss the basics of PINNs, some of the reasons for their inefficiency, and the author's recent work on partially addressing these inefficiencies.