Yulong Lu
Orcid: 0000-0003-2914-414X
According to our database1,
Yulong Lu
authored at least 30 papers
between 2011 and 2024.
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Bibliography
2024
J. Sci. Comput., December, 2024
On the Convergence of Sobolev Gradient Flow for the Gross-Pitaevskii Eigenvalue Problem.
SIAM J. Numer. Anal., 2024
Near-optimal deep neural network approximation for Korobov functions with respect to Lp and H1 norms.
Neural Networks, 2024
Provable In-Context Learning of Linear Systems and Linear Elliptic PDEs with Transformers.
CoRR, 2024
CoRR, 2024
Score-based generative models break the curse of dimensionality in learning a family of sub-Gaussian probability distributions.
CoRR, 2024
Score-based generative models break the curse of dimensionality in learning a family of sub-Gaussian distributions.
Proceedings of the Twelfth International Conference on Learning Representations, 2024
2023
Optimal Deep Neural Network Approximation for Korobov Functions with respect to Sobolev Norms.
CoRR, 2023
Two-Scale Gradient Descent Ascent Dynamics Finds Mixed Nash Equilibria of Continuous Games: A Mean-Field Perspective.
Proceedings of the International Conference on Machine Learning, 2023
Proceedings of the Thirty-Seventh AAAI Conference on Artificial Intelligence, 2023
2022
SIAM J. Math. Data Sci., December, 2022
A Regularity Theory for Static Schrödinger Equations on R<sup>d</sup> in Spectral Barron Spaces.
CoRR, 2022
2021
The Establishment of Ore-Controlling Fracture System of Baoginshan Gold Mine Based on Fracture-Tectonic Analysis.
Mob. Inf. Syst., 2021
Solving multiscale steady radiative transfer equation using neural networks with uniform stability.
CoRR, 2021
A Priori Generalization Error Analysis of Two-Layer Neural Networks for Solving High Dimensional Schrödinger Eigenvalue Problems.
CoRR, 2021
A Priori Generalization Analysis of the Deep Ritz Method for Solving High Dimensional Elliptic Equations.
CoRR, 2021
Proceedings of the Advances in Neural Information Processing Systems 34: Annual Conference on Neural Information Processing Systems 2021, 2021
A Priori Generalization Analysis of the Deep Ritz Method for Solving High Dimensional Elliptic Partial Differential Equations.
Proceedings of the Conference on Learning Theory, 2021
2020
Quantitative Propagation of Chaos in a Bimolecular Chemical Reaction-Diffusion Model.
SIAM J. Math. Anal., 2020
Continuum limit and preconditioned Langevin sampling of the path integral molecular dynamics.
J. Comput. Phys., 2020
A Universal Approximation Theorem of Deep Neural Networks for Expressing Distributions.
CoRR, 2020
A Mean-field Analysis of Deep ResNet and Beyond: Towards Provable Optimization Via Overparameterization From Depth.
CoRR, 2020
A Universal Approximation Theorem of Deep Neural Networks for Expressing Probability Distributions.
Proceedings of the Advances in Neural Information Processing Systems 33: Annual Conference on Neural Information Processing Systems 2020, 2020
A Mean Field Analysis Of Deep ResNet And Beyond: Towards Provably Optimization Via Overparameterization From Depth.
Proceedings of the 37th International Conference on Machine Learning, 2020
2019
SIAM J. Math. Anal., 2019
Uniform-in-Time Weak Error Analysis for Stochastic Gradient Descent Algorithms via Diffusion Approximation.
CoRR, 2019
2017
SIAM J. Math. Anal., 2017
SIAM/ASA J. Uncertain. Quantification, 2017
2011
Retrieval of Canopy Closure and LAI of Moso Bamboo Forest Using Spectral Mixture Analysis Based on Real Scenario Simulation.
IEEE Trans. Geosci. Remote. Sens., 2011