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Rectified deep neural networks overcome the curse of dimensionality for nonsmooth value functions in zero-sum games of nonlinear stiff systems

机译：纠正的深神经网络克服了非线性僵硬系统零和游戏中的非高级游戏中的维度函数的维度诅咒

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Christoph Reisinger; Yufei Zhang;
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1. Rectified deep neural networks overcome the curse of dimensionality for nonsmooth value functions in zero-sum games of nonlinear stiff systems [J] . Reisinger Christoph, Zhang Yufei Analysis and applications . 2020,第6期

机译：纠正的深神经网络克服非线性僵硬系统零和游戏中的非高级游戏中的零维数量的诅咒
2. Overcoming the curse of dimensionality for approximating Lyapunov functions with deep neural networks under a small-gain condition [J] . Lars Grüne IFAC PapersOnLine . 2021,第9期

机译：克服近似Lyapunov功能的维度诅咒，在小增益条件下具有深层神经网络
3. Better Approximations of High Dimensional Smooth Functions by Deep Neural Networks with Rectified Power Units [J] . Li Bo, Tang Shanshan, Yu Haijun Mathematical research letters: MRL . 2020,第2期

机译：深度神经网络与整流电量单元的更好近似尺寸
4. Zero-sum two-player game theoretic formulation of affine nonlinear discrete-time systems using neural networks [C] . Mehraeen S., Dierks T., Jagannathan S., The 2010 International Joint Conference on Neural Networks . 2010

机译：仿射非线性离散时间系统的零和两人博弈理论的神经网络表示
5. Nonlinear Inference in Partially Observed Physical Systems and Deep Neural Networks [D] . Rozdeba, Paul J. 2018

机译：部分观测物理系统和深层神经网络中的非线性推理
6. A CAD system for pulmonary nodule prediction based on deep three-dimensional convolutional neural networks and ensemble learning [O] . Wenkai Huang, Yihao Xue, Yu Wu 2012

机译：基于深度三维卷积神经网络和集成学习的肺结节预测CAD系统
7. Analysis of the Generalization Error: Empirical Risk Minimization over Deep Artificial Neural Networks Overcomes the Curse of Dimensionality in the Numerical Approximation of Black--Scholes Partial Differential Equations [O] . Julius Berner, Philipp Grohs, Arnulf Jentzen 2020

机译：泛化误差分析：深层人工神经网络的经验风险最小化克服了黑学 - 秘书局部微分方程数值近似下的维度诅咒
8. Algorithm for Overcoming the Curse of Dimensionality for Certain Non-convex Hamilton-Jacobi Equations, Projections and Differential Games. [R] . Chow, Y. T., Darbon, J., Osher, S., 2016

机译：克服某些非凸Hamilton-Jacobi方程，投影和微分对策的维数诅咒算法。

Rectified deep neural networks overcome the curse of dimensionality for nonsmooth value functions in zero-sum games of nonlinear stiff systems

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