Found 47 Documents (Results 1–47)
On dynamical system modeling of learned primal-dual with a linear operator \(\mathcal{K}\): stability and convergence properties. (English) Zbl 07867349
MSC:
68T07
Efficient and stable SAV-based methods for gradient flows arising from deep learning. (English) Zbl 07842887
Optimal Dirichlet boundary control by Fourier neural operators applied to nonlinear optics. (English) Zbl 07819072
A fast proximal gradient method and convergence analysis for dynamic mean field planning. (English) Zbl 07782514
Reviewer: Yisheng Song (Chongqing)
Pontryagin’s maximum principle and indirect descent method for optimal impulsive control of nonlocal transport equation. (Russian. English summary) Zbl 1531.49037
Deep learning via dynamical systems: an approximation perspective. (English) Zbl 1528.41106
Reviewer: Steven B. Damelin (Ann Arbor)
Neural network architectures using min-plus algebra for solving certain high-dimensional optimal control problems and Hamilton-Jacobi PDEs. (English) Zbl 1507.49019
Deep limits of residual neural networks. (English) Zbl 1538.68057
Res. Math. Sci. 10, No. 1, Paper No. 6, 44 p. (2023); correction ibid. 11, No. 2, Paper No. 43, 1 p. (2024).
Do ideas have shape? Idea registration as the continuous limit of artificial neural networks. (English) Zbl 07642857
A measure theoretical approach to the mean-field maximum principle for training NeurODEs. (English) Zbl 1503.49005
Optimal control using to approximate probability distribution of observation set. (English) Zbl 1534.68207
The continuous formulation of shallow neural networks as Wasserstein-type gradient flows. (English) Zbl 1518.35567
Avila, Artur (ed.) et al., Analysis at large. Dedicated to the life and work of Jean Bourgain. Cham: Springer. 29-57 (2022).
Reviewer: Martin Ondreját (Praha)
Algorithms for solving high dimensional PDEs: from nonlinear Monte Carlo to machine learning. (English) Zbl 1490.60202
Semiconcavity and sensitivity analysis in mean-field optimal control and applications. (English. French summary) Zbl 1483.30106
A mean field games model for finite mixtures of Bernoulli and categorical distributions. (English) Zbl 1473.62208
Spectral methods for nonlinear functionals and functional differential equations. (English) Zbl 1477.46079
Deep learning for ranking response surfaces with applications to optimal stopping problems. (English) Zbl 1454.91291
Variational networks: an optimal control approach to early stopping variational methods for image restoration. (English) Zbl 1434.68626
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