Projects per year
Personal profile
Expertise related to UN Sustainable Development Goals
In 2015, UN member states agreed to 17 global Sustainable Development Goals (SDGs) to end poverty, protect the planet and ensure prosperity for all. This person’s work contributes towards the following SDG(s):
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Collaborations and top research areas from the last five years
Projects
- 2 Active
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Math-DT: Advancing the Mathematical Foundations for Dynamic Digital Twinning of Next-Generation Mobile Wireless Networks
Calder, J. (PI) & Lu, Y. (CoI)
THE NATIONAL SCIENCE FOUNDATION
1/1/25 → 12/31/27
Project: Research project
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Theoretical guarantees of machine learning methods for high dimensional PDEs: numerical analysis anduncertainty quantification
Lu, Y. (PI)
THE NATIONAL SCIENCE FOUNDATION
8/1/23 → 6/30/25
Project: Research project
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Generative Downscaling of PDE Solvers with Physics-Guided Diffusion Models
Lu, Y. & Xu, W., Dec 2024, In: Journal of Scientific Computing. 101, 3, 71.Research output: Contribution to journal › Article › peer-review
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Near-optimal deep neural network approximation for Korobov functions with respect to Lp and H1 norms
Yang, Y. & Lu, Y., Dec 2024, In: Neural Networks. 180, 106702.Research output: Contribution to journal › Article › peer-review
1 Scopus citations -
ON THE CONVERGENCE OF SOBOLEV GRADIENT FLOW FOR THE GROSS-PITAEVSKII EIGENVALUE PROBLEM
Chen, Z., Lu, J., Lu, Y. & Zhang, X., 2024, In: SIAM Journal on Numerical Analysis. 62, 2, p. 667-691 25 p.Research output: Contribution to journal › Article › peer-review
Open Access4 Scopus citations -
SCORE-BASED GENERATIVE MODELS BREAK THE CURSE OF DIMENSIONALITY IN LEARNING A FAMILY OF SUB-GAUSSIAN PROBABILITY DISTRIBUTIONS
Cole, F. & Lu, Y., 2024.Research output: Contribution to conference › Paper › peer-review
1 Scopus citations -
A REGULARITY THEORY FOR STATIC SCHRÖDINGER EQUATIONS ON R d IN SPECTRAL BARRON SPACES
Chen, Z., Lu, J., Lu, Y. & Zhou, S., 2023, In: SIAM Journal on Mathematical Analysis. 55, 1, p. 557-570 14 p.Research output: Contribution to journal › Article › peer-review
2 Scopus citations