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Li, Qianxiao

  1. Stochastic Modified Equations and Dynamics of Stochastic Gradient Algorithms I: Mathematical Foundations
    2018/11/05 by Qianxiao Li, Cheng Tai, Li, Qianxiao +3 · 12 citations
    Economics, Econometrics and Finance · Computer Science · Mathematics · #Stochastic processes and financial applications #Stochastic Gradient Optimization Techniques #Mathematical Biology Tumor Growth
  2. Stochastic modified equations and adaptive stochastic gradient algorithms
    2015/11/19 by Li, Qianxiao, Tai, Cheng, E, Weinan · 8 citations
    #68W20 #FOS: Computer and information sciences #Machine Learning (cs.LG) #Machine Learning (stat.ML)
  3. Well-Posedness of the Limiting Equation of a Noisy Consensus Model in Opinion Dynamics
    2015/10/22 by Bernard Chazelle, Quansen Jiu, Chazelle, Bernard +5 · 5 citations
    Physics and Astronomy · #35Q70 #35Q91 #Analysis of PDEs (math.AP) #Complex Network Analysis Techniques #FOS: Mathematics #Opinion Dynamics and Social Influence #Quantum many-body systems
  4. Deep Learning via Dynamical Systems: An Approximation Perspective
    2019/12/22 by Qianxiao Li, Ting Lin, Li, Qianxiao +3 · 7 citations
    Computer Science · Mathematics · Physics and Astronomy · #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Machine Learning and Algorithms #Markov Chains and Monte Carlo Methods #Model Reduction and Neural Networks #Optimization and Control (math.OC)
  5. Noisy Hegselmann-Krause Systems: Phase Transition and the 2R-Conjecture
    2015/11/10 by Wang, Chu, Li, Qianxiao, E, Weinan +1 · 4 citations
    #FOS: Mathematics #Optimization and Control (math.OC)
  6. Embedding Physics Domain Knowledge into a Bayesian Network Enables Layer-by-Layer Process Innovation for Photovoltaics
    2019/07/25 by Zekun Ren, Felipe Oviedo, Ren, Zekun +33 · 3 citations
    Engineering · Materials Science · #Applied Physics (physics.app-ph) #Chalcogenide Semiconductor Thin Films #Computational Physics (physics.comp-ph) #FOS: Physical sciences #Machine Learning in Materials Science #solar cell performance optimization
  7. Learning Parametric Koopman Decompositions for Prediction and Control
    2023/10/02 by Yue Guo, Guo, Yue, Milan Korda +5 · 5 citations
    Physics and Astronomy · #Model Reduction and Neural Networks
  8. A Data Driven Method for Computing Quasipotentials
    2020/12/13 by Lin, Bo, Li, Qianxiao, Ren, Weiqing · 3 citations
    #Dynamical Systems (math.DS) #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG)
  9. Constructing Custom Thermodynamics Using Deep Learning
    2023/08/08 by Chen, Xiaoli, Soh, Beatrice W., Ooi, Zi-En +5 · 4 citations
    #FOS: Computer and information sciences #FOS: Physical sciences #Machine Learning (cs.LG) #Soft Condensed Matter (cond-mat.soft) #Statistical Mechanics (cond-mat.stat-mech)
  10. Towards Robust Neural Networks via Close-loop Control
    2021/02/03 by Zhuotong Chen, Chen, Zhuotong, Qianxiao Li +3 · 2 citations
    Computer Science · Engineering · Physics and Astronomy · #Adversarial Robustness in Machine Learning #Artificial Intelligence (cs.AI) #FOS: Computer and information sciences #Fault Detection and Control Systems #Machine Learning (cs.LG) #Model Reduction and Neural Networks
  11. Interpolation, Approximation and Controllability of Deep Neural Networks
    2023/09/12 by Cheng, Jingpu, Li, Qianxiao, Lin, Ting +1 · 3 citations
    #41A05 #68T07 #93B05 #Dynamical Systems (math.DS) #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Optimization and Control (math.OC)
  12. Principled Acceleration of Iterative Numerical Methods Using Machine Learning
    2022/06/17 by Sohei Arisaka, Qianxiao Li, Arisaka, Sohei +1 · 2 citations
    Environmental Science · Physics and Astronomy · #65M06 #68T99 #68U20 #FOS: Computer and information sciences #FOS: Mathematics #Groundwater flow and contamination studies #Machine Learning (cs.LG) #Model Reduction and Neural Networks #Numerical Analysis (math.NA)
  13. A Recursively Recurrent Neural Network (R2N2) Architecture for Learning Iterative Algorithms
    2022/11/22 by Doncevic, Danimir T., Mitsos, Alexander, Guo, Yue +4 · 2 citations
    #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Numerical Analysis (math.NA)
  14. On the Curse of Memory in Recurrent Neural Networks: Approximation and Optimization Analysis
    2020/09/16 by Zhong Li, Li, Zhong, Jiequn Han +5 · 2 citations
    Computer Science · Neuroscience · Physics and Astronomy · #37M10 #68T07 #68W25 #FOS: Computer and information sciences #FOS: Mathematics #I.2.6 #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Model Reduction and Neural Networks #Neural Networks and Applications #Neural dynamics and brain function #Optimization and Control (math.OC)
  15. StableSSM: Alleviating the Curse of Memory in State-space Models through Stable Reparameterization
    2023/11/24 by Shida Wang, Qianxiao Li, Wang, Shida +1 · 3 citations
    Computer Science · #Artificial Intelligence (cs.AI) #Computation and Language (cs.CL) #Dynamical Systems (math.DS) #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Neural Networks and Applications
  16. On Matching, and Even Rectifying, Dynamical Systems through Koopman Operator Eigenfunctions
    2017/12/19 by Bollt, Erik M., Li, Qianxiao, Dietrich, Felix +1 · 1 citation
    #Dynamical Systems (math.DS) #FOS: Mathematics
  17. An Optimal Control Approach to Deep Learning and Applications to Discrete-Weight Neural Networks
    2018/03/04 by Li, Qianxiao, Hao, Shuji · 1 citation
    #FOS: Computer and information sciences #Machine Learning (cs.LG)
  18. Approximation Rate of the Transformer Architecture for Sequence Modeling
    2023/05/29 by Haotian Jiang, Qianxiao Li, Jiang, Haotian +1 · 2 citations
    Computer Science · Engineering · Physics and Astronomy · #Control Systems and Identification #FOS: Computer and information sciences #Machine Learning (cs.LG) #Model Reduction and Neural Networks #Neural Networks and Applications
  19. What Information is Necessary and Sufficient to Predict Materials Properties using Machine Learning?
    2022/06/10 by Tian, Siyu Isaac Parker, Walsh, Aron, Ren, Zekun +2 · 1 citation
    #Computational Physics (physics.comp-ph) #FOS: Physical sciences #Materials Science (cond-mat.mtrl-sci)
  20. Deep Neural Network Approximation of Invariant Functions through Dynamical Systems
    2022/08/18 by Qianxiao Li, Li, Qianxiao, Ting Lin +3 · 1 citation
    Computer Science · Physics and Astronomy · #Dynamical Systems (math.DS) #FOS: Computer and information sciences #FOS: Mathematics #Generative Adversarial Networks and Image Synthesis #Machine Learning (cs.LG) #Model Reduction and Neural Networks #Neural Networks and Applications #Optimization and Control (math.OC)
  21. A Brief Survey on the Approximation Theory for Sequence Modelling
    2023/02/27 by Jiang, Haotian, Li, Qianxiao, Li, Zhong +1 · 1 citation
    #FOS: Computer and information sciences #Machine Learning (cs.LG)
  22. Autocorrelation Matters: Understanding the Role of Initialization Schemes for State Space Models
    2024/11/29 by Fusheng Liu, Liu, Fusheng, Qianxiao Li +1 · 2 citations
    Economics, Econometrics and Finance · #Economic Policies and Impacts
  23. Distributed Optimization for Over-Parameterized Learning
    2019/06/14 by Chi Zhang, Qianxiao Li, Zhang, Chi +1 · 1 citation
    Computer Science · Engineering · Decision Sciences · #Stochastic Gradient Optimization Techniques #Sparse and Compressive Sensing Techniques #Advanced Bandit Algorithms Research
  24. Computing the Invariant Distribution of Randomly Perturbed Dynamical Systems Using Deep Learning
    2021/10/22 by Lin, Bo, Li, Qianxiao, Ren, Weiqing · 1 citation
    #Computational Physics (physics.comp-ph) #Dynamical Systems (math.DS) #FOS: Computer and information sciences #FOS: Mathematics #FOS: Physical sciences #Machine Learning (cs.LG)
  25. DynGMA: a robust approach for learning stochastic differential equations from data
    2024/02/22 by Zhu, Aiqing, Li, Qianxiao · 2 citations
    #Computational Physics (physics.comp-ph) #FOS: Computer and information sciences #FOS: Mathematics #FOS: Physical sciences #Machine Learning (cs.LG) #Numerical Analysis (math.NA)
  26. PID Control-Based Self-Healing to Improve the Robustness of Large Language Models
    2024/03/31 by Zhuotong Chen, Zihu Wang, Chen, Zhuotong +7 · 1 citation
    Computer Science · #Computation and Language (cs.CL) #FOS: Computer and information sciences #Natural Language Processing Techniques #Topic Modeling
  27. From Generalization Analysis to Optimization Designs for State Space Models
    2024/05/04 by Fusheng Liu, Liu, Fusheng, Qianxiao Li +1 · 1 citation
    Engineering · #Control Systems and Identification #FOS: Computer and information sciences #Machine Learning (cs.LG)
  28. Unifying back-propagation and forward-forward algorithms through model predictive control
    2024/09/29 by Ren, Lianhai, Li, Qianxiao · 1 citation
    #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Optimization and Control (math.OC)