Yulong Lu
Impact in
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- Model Reduction and Neural Networks
- Statistical Mechanics and Entropy
- Advanced Thermodynamics and Statistical Mechanics
- Statistics and Probability top 5%
- Markov Chains and Monte Carlo Methods
Papers in
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- Model Reduction and Neural Networks 7
- Statistical Mechanics and Entropy 4
- Advanced Thermodynamics and Statistical Mechanics 3
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- Numerical methods in inverse problems 4
- Advanced Mathematical Physics Problems 3
- Co-authors
- Jianfeng Lu (12 shared papers)James Nolen (1 shared paper)Li Wang (2 shared papers)Jonathan C. Mattingly (1 shared paper)Andrew M. Stuart (3 shared papers)Hendrik Weber (3 shared papers)Bo Zhang (1 shared paper)Guanghui Hu (1 shared paper)
- Journals
- SIAM Journal on Mathematical Analysis (3 papers)Nonlinearity (2 papers)International Journal of Clinical and Experimental Pathology (1 paper)SIAM Journal on Numerical Analysis (1 paper)Journal of Coastal Research (1 paper)
- Partner nations
- United StatesChinaUnited Kingdom
In The Last Decade
Yulong Lu
31 papers receiving 227 citations
Peers
Comparison fields: 5 of 75
- Statistical and Nonlinear Physics 81
- Statistics and Probability 50
- Mathematical Physics 42
- Statistics, Probability and Uncertainty 20
- Applied Mathematics 22
Countries citing papers authored by Yulong Lu
This map shows the geographic impact of Yulong Lu's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Yulong Lu with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Yulong Lu more than expected).
Fields of papers citing papers by Yulong Lu
This network shows the impact of papers produced by Yulong Lu. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Yulong Lu. The network helps show where Yulong Lu may publish in the future.
Co-authors
The 25 scholars most cited alongside Yulong Lu, linked wherever they have co-authored with each other. Click a name or a connecting line to browse the papers they share.
All Works
Showing the 20 most-cited of 31 papers — load more, or switch the sort, to bring in the rest.
| # | Work | ||
|---|---|---|---|
| 1 | 2019 | 33 | |
| 2 | 2013 | 18 | |
| 3 | 2020 | 16 | |
| 4 | 2019 | 14 | |
| 5 | 2022 | 13 | |
| 6 | 2023 | 13 | |
| 7 | 2023 | 12 | |
| 8 | A Priori Generalization Analysis of the Deep Ritz Method for Solving High Dimensional Elliptic Partial Differential Equations | 2021 | 10 |
| 9 | 2017 | 10 | |
| 10 | 2022 | 10 | |
| 11 | 2024 | 9 | |
| 12 | 2017 | 8 | |
| 13 | 2019 | 8 | |
| 14 | 2023 | 7 | |
| 15 | A Universal Approximation Theorem of Deep Neural Networks for Expressing Distributions. | 2020 | 6 |
| 16 | 2024 | 5 | |
| 17 | 2023 | 5 | |
| 18 | 2018 | 5 | |
| 19 | 2019 | 5 | |
| 20 | A Mean Field Analysis Of Deep ResNet And Beyond: Towards Provably Optimization Via Overparameterization From Depth | 2020 | 4 |
About Yulong Lu
Yulong Lu is a scholar working on Statistical and Nonlinear Physics, Mathematical Physics, Statistics and Probability, Artificial Intelligence and Applied Mathematics, having authored 31 papers that have together received 237 indexed citations. Recurring topics across this work include Markov Chains and Monte Carlo Methods (7 papers), Model Reduction and Neural Networks (7 papers), Numerical methods in inverse problems (4 papers), Statistical Mechanics and Entropy (4 papers), Geometric Analysis and Curvature Flows (3 papers), Advanced Thermodynamics and Statistical Mechanics (3 papers), Numerical methods in engineering (3 papers) and Advanced Mathematical Physics Problems (3 papers). The work is most often cited by research in Statistical and Nonlinear Physics (81 citations), Statistics and Probability (50 citations), Mathematical Physics (42 citations), Statistics, Probability and Uncertainty (20 citations) and Applied Mathematics (22 citations). Yulong Lu has collaborated with scholars based in United States, China and United Kingdom. Frequent co-authors include Jianfeng Lu, James Nolen, Li Wang, Jonathan C. Mattingly, Andrew M. Stuart, Hendrik Weber, Bo Zhang, Guanghui Hu, Yu Cao and Xiangxiong Zhang. Their work appears in journals such as SIAM Journal on Mathematical Analysis, Nonlinearity, International Journal of Clinical and Experimental Pathology, SIAM Journal on Numerical Analysis and Journal of Coastal Research.
Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.