Lexing Ying
Professor of Mathematics
Stanford University
Phone: 650-723-2221
Email: lexing at stanford dot edu
Address: 450 Jane Stanford Way, Bldg 380, Stanford, CA 94305-2125

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Recent research talks

• Harmonic analysis for quantum algorithms [Link]
• Eigenmatrix for unstructured sparse recovery [Link]
• Multimodal sampling via approximate symmetries [Link]
• Quantum pseudo-differential operators and robust quantum phase estimation [Link]
• Quantum numerical analysis [Link]
• Some mathematical aspects of deep learning and stochastic gradient descent [Link]
• Correcting convexity bias [Link]
• Prony's method, analytic continuation, and quantum signal processing [Link]
• Optimization formulations and algorithms of Markov decision problems [Link]
• Neural networks and partial differential equations [Link]
• Sobolev Regularization Effect of SGD for neural networks [Link]
• Solving inverse problems with deep learning [Link]

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Teaching

• My current courses are hosted at canvas.stanford.edu
  

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Students and postdocs
Current

• Haoxuan Chen
• Hongrui Chen
• Ya-Chi Chu (co-advised with Madeleine Udell)
• Rajat Dwaraknath (co-advised with Mert Pilanci)
• Hongkang Ni
• Leah Reeder
• Yinuo Ren (co-advised with Grant Rotskoff)
• Nan Sheng
• Xun Tang (postdoc)

Previous

• ----PhD students
• Xun Tang (2025)
• Milo Marsden (2025, co-advised with Persi Diaconis)
• Haoya Li (2024)
• Yiping Lu (2023, co-advised with Jose Blanchet)
• Zach Izzo (2023, co-advised with James Zou)
• Philip Etter (2022)
• Panagiotis Lolas (2022, co-advised with Iain Johnstone)
• Cindy Catherine Orozco Bohorquez (2021)
• Jordi Feliu Faba (2021)
• Jing An (2021)
• Fei Liu (2018)
• Victor Minden (2017)
• Yingzhou Li (2017)
• Anil Damle (2016)
• Haizhao Yang (2015)
• Paul Tsuji (2012)
• Jack Poulson (2012)
• Phillip Schmitz (2010)
• ----Postdocs
• Alice Cortinovis (2024, co-advised with Emmanuel Candes)
• Chao Ma (2023)
• Yuhua Zhu (2022)
• Yuwei Fan (2019)
• Yuehaw Khoo (2019)
• Kenneth Ho (2015)
• Jack Poulson (2014)
• Jingwei Hu (2014)

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Publications
See Google Scholar [Link]

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Software
See Github [Link]

• Eigenmatrix for unstructured sparse recovery. [Code]
• Stable factorization for phase factors of quantum signal processing [Code]
• Sweeping preconditioner [Code]
• Additive sweeping preconditioner [Code]
• Recursive sweeping preconditioner [Code]
• 1D synchrosqueezed wave packet transforms [Code]
• Multiscale Butterfly Algorithm [Code]
• Butterfly factorization [Code]
• ButterflyLab [Code]
• Directional FMM (3D parallel) for Helmholtz Equation [Code]
• Directional FMM (3D sequential) for Helmholtz Equation [Code]
• Directional FMM (2D sequential) for Helmholtz Equation [Code]
• Wave atom transforms [Code]
• Fast discrete Curvelet transform [Code]
• Manifold-based surface construction of arbitrary smoothness [Code]
• Kernel independent fast multipole method [Code]

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