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20192026
most citedDeepONet: Learning nonlinear operators for identifying differential equations based on the universal approximation theorem of operators

3.4k citations · 3.4k across the 19 of their papers we have counts for

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math.SG2021

Optimal unit triangular factorization of symplectic matrices

Pengzhan Jin, Zhangli Lin, Bo Xiao

We prove that any symplectic matrix can be factored into no more than 5 unit triangular symplectic matrices, moreover, 5 is the optimal number. This result improves the existing tr…

cs.LG2021★ 1 cited

Approximation capabilities of measure-preserving neural networks

Aiqing Zhu, Pengzhan Jin, Yifa Tang

Measure-preserving neural networks are well-developed invertible models, however, their approximation capabilities remain unexplored. This paper rigorously analyses the approximati…