Lechao Xiao

961 total citations
13 papers, 113 citations indexed

About

Lechao Xiao is a scholar working on Artificial Intelligence, Applied Mathematics and Mathematical Physics. According to data from OpenAlex, Lechao Xiao has authored 13 papers receiving a total of 113 indexed citations (citations by other indexed papers that have themselves been cited), including 7 papers in Artificial Intelligence, 6 papers in Applied Mathematics and 5 papers in Mathematical Physics. Recurrent topics in Lechao Xiao's work include Advanced Harmonic Analysis Research (6 papers), Gaussian Processes and Bayesian Inference (5 papers) and Nonlinear Partial Differential Equations (3 papers). Lechao Xiao is often cited by papers focused on Advanced Harmonic Analysis Research (6 papers), Gaussian Processes and Bayesian Inference (5 papers) and Nonlinear Partial Differential Equations (3 papers). Lechao Xiao collaborates with scholars based in United States, United Kingdom and China. Lechao Xiao's co-authors include Jeffrey Pennington, Xiaochun Li, Roman Novak, Jascha Sohl‐Dickstein, Jaehoon Lee, Jiri Hron, Samuel S. Schoenholz, Yasaman Bahri, Greg Yang and Philip T. Gressman and has published in prestigious journals such as Advances in Mathematics, Journal of Functional Analysis and American Journal of Mathematics.

In The Last Decade

Lechao Xiao

12 papers receiving 103 citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name	h						Papers	Cites
Lechao Xiao United States	7	59	37	24	20	11	13	113
Dmitriy Bilyk United States	6	17 0.3×	44 1.2×	15 0.6×	15 0.8×	4 0.4×	18	124
John Steinberger China	6	32 0.5×	9 0.2×	13 0.5×	7 0.3×	8 0.7×	17	69
Liang Xiao China	8	33 0.6×	20 0.5×	21 0.9×	83 4.2×	8 0.7×	24	154
Konstantin Tikhomirov United States	8	20 0.3×	33 0.9×	16 0.7×	60 3.0×	27 2.5×	29	136
Lenny Fukshansky United States	8	31 0.5×	19 0.5×	12 0.5×	35 1.8×	36 3.3×	34	140
Milan Merkle Serbia	8	14 0.2×	160 4.3×	5 0.2×	11 0.6×	3 0.3×	31	228
Kevin G. Hare Canada	8	34 0.6×	19 0.5×	2 0.1×	83 4.2×	28 2.5×	43	170
Joshua Zahl United States	8	6 0.1×	42 1.1×	32 1.3×	27 1.4×	28 2.5×	26	130
Oliver Roche‐Newton Austria	7	15 0.3×	10 0.3×	15 0.6×	6 0.3×	98 8.9×	24	121
Noam D. Elkies United States	6	34 0.6×	8 0.2×	4 0.2×	65 3.3×	30 2.7×	9	134

Countries citing papers authored by Lechao Xiao

Since Specialization

Citations

This map shows the geographic impact of Lechao Xiao'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 Lechao Xiao with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Lechao Xiao more than expected).

Fields of papers citing papers by Lechao Xiao

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Lechao Xiao. 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 Lechao Xiao. The network helps show where Lechao Xiao may publish in the future.

Co-authorship network of co-authors of Lechao Xiao

This figure shows the co-authorship network connecting the top 25 collaborators of Lechao Xiao. A scholar is included among the top collaborators of Lechao Xiao based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Lechao Xiao. Lechao Xiao is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

Sort: Min cites: Since: Top N: Style:

13 of 13 papers shown

Xiao, Lechao, et al.. (2023). Precise learning curves and higher-order scaling limits for dot-product kernel regression ^*. Journal of Statistical Mechanics Theory and Experiment. 2023(11). 114005–114005.

Novak, Roman, Lechao Xiao, Jiri Hron, et al.. (2020). Neural Tangents: Fast and Easy Infinite Neural Networks in Python. International Conference on Learning Representations. 9 indexed citations

Lee, Jaehoon, Samuel S. Schoenholz, Jeffrey Pennington, et al.. (2020). Finite Versus Infinite Neural Networks: an Empirical Study. Neural Information Processing Systems. 33. 15156–15172. 5 indexed citations

Hu, Wei, Lechao Xiao, & Jeffrey Pennington. (2020). Provable Benefit of Orthogonal Initialization in Optimizing Deep Linear Networks. arXiv (Cornell University). 8 indexed citations

Xiao, Lechao, Jeffrey Pennington, & Samuel S. Schoenholz. (2019). Disentangling Trainability and Generalization in Deep Learning. arXiv (Cornell University). 7 indexed citations

Novak, Roman, Lechao Xiao, Jaehoon Lee, et al.. (2018). Bayesian Convolutional Neural Networks with Many Channels are Gaussian Processes.. arXiv (Cornell University). 5 indexed citations

Novak, Roman, Lechao Xiao, Jaehoon Lee, et al.. (2018). Bayesian Deep Convolutional Networks with Many Channels are Gaussian Processes. arXiv (Cornell University). 37 indexed citations

Gressman, Philip T., et al.. (2018). Higher decay inequalities for multilinear oscillatory integrals. Mathematical Research Letters. 25(3). 819–842. 2 indexed citations

Xiao, Lechao. (2017). Endpoint estimates for one-dimensional oscillatory integral operators. Advances in Mathematics. 316. 255–291. 7 indexed citations

10.

Xiao, Lechao. (2017). Sharp estimates for trilinear oscillatory integrals and an algorithm of two-dimensional resolution of singularities. Revista Matemática Iberoamericana. 33(1). 67–116. 2 indexed citations

11.

Gressman, Philip T. & Lechao Xiao. (2016). Maximal decay inequalities for trilinear oscillatory integrals of convolution type. Journal of Functional Analysis. 271(12). 3695–3726. 6 indexed citations

12.

Li, Xiaochun & Lechao Xiao. (2016). Uniform estimates for bilinear Hilbert transforms and bilinear maximal functions associated to polynomials. American Journal of Mathematics. 138(4). 907–962. 17 indexed citations

13.

Xiao, Lechao, et al.. (2015). Bilinear Hilbert Transforms Associated with Plane Curves. Journal of Geometric Analysis. 26(2). 967–995. 8 indexed citations

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.

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