37 citations · 63 across the 13 of their papers we have counts for
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cs.LG2023
Addressing Discontinuous Root-Finding for Subsequent Differentiability in Machine Learning, Inverse Problems, and Control
Daniel Johnson, Ronald Fedkiw
There are many physical processes that have inherent discontinuities in their mathematical formulations. This paper is motivated by the specific case of collisions between two rigi…
cs.LG2023★ 1 cited
Software-based Automatic Differentiation is Flawed
Daniel Johnson, Trevor Maxfield, Yongxu Jin +1
Various software efforts embrace the idea that object oriented programming enables a convenient implementation of the chain rule, facilitating so-called automatic differentiation v…
cs.LG2022
Analytically Integratable Zero-restlength Springs for Capturing Dynamic Modes unrepresented by Quasistatic Neural Networks
Yongxu Jin, Yushan Han, Zhenglin Geng +2
We present a novel paradigm for modeling certain types of dynamic simulation in real-time with the aid of neural networks. In order to significantly reduce the requirements on data…