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Tao, Molei

  1. gDDIM: Generalized denoising diffusion implicit models
    2022/06/11 by Qinsheng Zhang, Molei Tao, Zhang, Qinsheng +3 · 9 citations
    Computer Science · Medicine · Physics and Astronomy · #Advanced Mathematical Modeling in Engineering #Advanced Neuroimaging Techniques and Applications #FOS: Computer and information sciences #Machine Learning (cs.LG) #NMR spectroscopy and applications
  2. The Mirror Langevin Algorithm Converges with Vanishing Bias
    2021/09/24 by Ruilin Li, Li, Ruilin, Molei Tao +5 · 7 citations
    Computer Science · Mathematics · Medicine · #Advanced Neuroimaging Techniques and Applications #Data Structures and Algorithms (cs.DS) #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Markov Chains and Monte Carlo Methods #Statistics Theory (math.ST) #Topological and Geometric Data Analysis
  3. Data-driven Prediction of General Hamiltonian Dynamics via Learning Exactly-Symplectic Maps
    2021/03/09 by Chen, Renyi, Tao, Molei · 6 citations
    #Computational Physics (physics.comp-ph) #Dynamical Systems (math.DS) #FOS: Computer and information sciences #FOS: Mathematics #FOS: Physical sciences #Machine Learning (cs.LG) #Numerical Analysis (math.NA)
  4. Fast Solvers for Discrete Diffusion Models: Theory and Applications of High-Order Algorithms
    2025/02/01 by Yinuo Ren, Haoxuan Chen, Ren, Yinuo +14 · 1 voice · 17 citations
    Mathematics · Engineering · #Numerical methods for differential equations #Advanced Numerical Methods in Computational Mathematics #Electromagnetic Simulation and Numerical Methods
  5. Deep Momentum Multi-Marginal Schrödinger Bridge
    2023/03/03 by Chen, Tianrong, Liu, Guan-Horng, Tao, Molei +1 · 6 citations
    #FOS: Computer and information sciences #Machine Learning (cs.LG) #Machine Learning (stat.ML)
  6. Mirror Diffusion Models for Constrained and Watermarked Generation
    2023/10/02 by Guan-Horng Liu, Liu, Guan-Horng, Tianrong Chen +5 · 6 citations
    Mathematics · Computer Science · #Markov Chains and Monte Carlo Methods #Stochastic Gradient Optimization Techniques #Machine Learning and Algorithms
  7. Diffusion Generative Modeling for Spatially Resolved Gene Expression Inference from Histology Images
    2025/01/26 by Si-Chen Zhu, Zhu, Sichen, Yuchen Zhu +5 · 12 citations
    Biochemistry, Genetics and Molecular Biology · Computer Science · #AI in cancer detection #Artificial Intelligence (cs.AI) #Cell Image Analysis Techniques #Computer Vision and Pattern Recognition (cs.CV) #FOS: Biological sciences #FOS: Computer and information sciences #Gene expression and cancer classification #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Quantitative Methods (q-bio.QM)
  8. Stochasticity of Deterministic Gradient Descent: Large Learning Rate for Multiscale Objective Function
    2020/02/14 by Lingkai Kong, Molei Tao, Kong, Lingkai +1 · 3 citations
    Computer Science · #Dynamical Systems (math.DS) #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Neural Networks and Applications #Numerical Analysis (math.NA) #Optimization and Control (math.OC) #Stochastic Gradient Optimization Techniques #Topological and Geometric Data Analysis
  9. Evaluating the design space of diffusion-based generative models
    2024/06/18 by Yuqing Wang, Wang, Yuqing, Ye He +3 · 7 citations
    Engineering · #Design Education and Practice #Dynamical Systems (math.DS) #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Optimization and Control (math.OC) #Probability (math.PR)
  10. Alternating Mirror Descent for Constrained Min-Max Games
    2022/06/08 by Wibisono, Andre, Tao, Molei, Piliouras, Georgios · 3 citations
    #Computer Science and Game Theory (cs.GT) #Dynamical Systems (math.DS) #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG)
  11. Trivialized Momentum Facilitates Diffusion Generative Modeling on Lie Groups
    2024/05/25 by Zhu, Yuchen, Chen, Tianrong, Kong, Lingkai +2 · 6 citations
    #Artificial Intelligence (cs.AI) #FOS: Computer and information sciences #Machine Learning (cs.LG) #Machine Learning (stat.ML)
  12. Why Do Deep Residual Networks Generalize Better than Deep Feedforward\n Networks? -- A Neural Tangent Kernel Perspective
    2020/02/14 by Kaixuan Huang, Yuqing Wang, Huang, Kaixuan +5 · 2 citations
    Computer Science · Physics and Astronomy · #Domain Adaptation and Few-Shot Learning #FOS: Computer and information sciences #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Model Reduction and Neural Networks #Neural Networks and Applications
  13. Zeroth-Order Sampling Methods for Non-Log-Concave Distributions: Alleviating Metastability by Denoising Diffusion
    2024/02/27 by Ye He, Kevin Rojas, He, Ye +3 · 4 citations
    Engineering · Decision Sciences · Mathematics · #Water Systems and Optimization #Advanced Statistical Process Monitoring #Fractional Differential Equations Solutions
  14. Quantum State Generation with Structure-Preserving Diffusion Model
    2024/04/09 by Zhu, Yuchen, Chen, Tianrong, Theodorou, Evangelos A. +2 · 3 citations
    #FOS: Computer and information sciences #FOS: Physical sciences #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Quantum Physics (quant-ph)
  15. Convex Optimal Uncertainty Quantification
    2013/11/27 by Han, Shuo, Tao, Molei, Topcu, Ufuk +2 · 1 citation
    #FOS: Mathematics #Optimization and Control (math.OC)
  16. Provable Benefit of Annealed Langevin Monte Carlo for Non-log-concave Sampling
    2024/07/24 by Guo, Wei, Tao, Molei, Chen, Yongxin · 5 citations
    #Computation (stat.CO) #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Statistics Theory (math.ST)
  17. Variational Optimization on Lie Groups, with Examples of Leading (Generalized) Eigenvalue Problems
    2020/01/27 by Molei Tao, Tomoki Ohsawa, Tao, Molei +1 · 1 citation
    Computer Science · Engineering · Mathematics · #Advanced Mathematical Modeling in Engineering #Aerospace Engineering and Control Systems #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Numerical Analysis (math.NA) #Numerical methods in inverse problems #Optimization and Control (math.OC) #Optimization and Variational Analysis #Sparse and Compressive Sensing Techniques
  18. Diffuse Everything: Multimodal Diffusion Models on Arbitrary State Spaces
    2025/06/09 by Kevin Rojas, Rojas, Kevin, Yuchen Zhu +7 · 8 citations
    Computer Science · #Artificial Intelligence (cs.AI) #Computer Graphics and Visualization Techniques #Computer Vision and Pattern Recognition (cs.CV) #FOS: Computer and information sciences #Generative Adversarial Networks and Image Synthesis #Machine Learning (cs.LG) #Multimodal Machine Learning Applications
  19. Essential barrier height and a probabilistic approach in characterizing potential landscape
    2023/01/04 by Yao Li, Molei Tao, Li, Yao +3 · 1 citation
    Computer Science · Neuroscience · Physics and Astronomy · #37H10 #60H10 #60J22 #60J60 #Dynamical Systems (math.DS) #FOS: Mathematics #Neural Networks and Applications #Neural dynamics and brain function #Statistical Mechanics and Entropy
  20. Plug-and-Play Controllable Generation for Discrete Masked Models
    2024/10/03 by Wei Guo, Yuchen Zhu, Guo, Wei +5 · 3 citations
    Engineering · #Human Motion and Animation
  21. Extragradient Type Methods for Riemannian Variational Inequality Problems
    2023/09/25 by Zihao Hu, Guanghui Wang, Hu, Zihao +9 · 1 citation
    Computer Science · Medicine · #FOS: Computer and information sciences #FOS: Mathematics #Foot and Ankle Surgery #Machine Learning (cs.LG) #Optimization and Control (math.OC) #Optimization and Variational Analysis #Peripheral Nerve Disorders
  22. Non-equilibrium Annealed Adjoint Sampler
    2025/06/22 by Choi, Jaemoo, Chen, Yongxin, Tao, Molei +1 · 6 citations
    #Artificial Intelligence (cs.AI) #FOS: Computer and information sciences #Machine Learning (cs.LG)
  23. Good regularity creates large learning rate implicit biases: edge of stability, balancing, and catapult
    2023/10/26 by Yuqing Wang, Zhenghao Xu, Wang, Yuqing +5 · 1 citation
    Computer Science · Engineering · #Dynamical Systems (math.DS) #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Machine Learning and ELM #Optimization and Control (math.OC) #Sparse and Compressive Sensing Techniques #Stochastic Gradient Optimization Techniques
  24. Complexity Analysis of Normalizing Constant Estimation: from Jarzynski Equality to Annealed Importance Sampling and beyond
    2025/02/07 by Guo, Wei, Tao, Molei, Chen, Yongxin · 4 citations
    #Computation (stat.CO) #Computational Physics (physics.comp-ph) #FOS: Computer and information sciences #FOS: Mathematics #FOS: Physical sciences #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Numerical Analysis (math.NA)
  25. Theory-Informed Improvements to Classifier-Free Guidance for Discrete Diffusion Models
    2025/07/11 by Rojas, Kevin, He, Ye, Lai, Chieh-Hsin +3 · 5 citations
    #Artificial Intelligence (cs.AI) #FOS: Computer and information sciences #Machine Learning (cs.LG) #Machine Learning (stat.ML)
  26. Improving Reasoning for Diffusion Language Models via Group Diffusion Policy Optimization
    2025/10/09 by Kevin Rojas, Rojas, Kevin, Jiahe Lin +11 · 6 citations
    Computer Science · #Topic Modeling #Natural Language Processing Techniques #Reinforcement Learning in Robotics
  27. DeepTTV: Deep Learning Prediction of Hidden Exoplanet From Transit Timing Variations
    2024/09/06 by Chen Chen, Lingkai Kong, Chen, Chen +5 · 1 citation
    Engineering · Physics and Astronomy · #Astronomical Observations and Instrumentation #Astronomy and Astrophysical Research #Earth and Planetary Astrophysics (astro-ph.EP) #FOS: Computer and information sciences #FOS: Physical sciences #Instrumentation and Methods for Astrophysics (astro-ph.IM) #Machine Learning (cs.LG) #Stellar, planetary, and galactic studies
  28. MDNS: Masked Diffusion Neural Sampler via Stochastic Optimal Control
    2025/08/14 by Zhu, Yuchen, Guo, Wei, Choi, Jaemoo +3 · 8 citations
    #Computation (stat.CO) #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Optimization and Control (math.OC)
  29. A Closer Look at Model Collapse: From a Generalization-to-Memorization Perspective
    2025/09/20 by Shi, Lianghe, Wu, Meng, Zhang, Huijie +3 · 4 citations
    #FOS: Computer and information sciences #Machine Learning (cs.LG)
  30. Generalization of Diffusion Models Arises with a Balanced Representation Space
    2025/12/24 by Zekai Zhang, Zhang, Zekai, Xiao Li +11 · 1 citation
    Computer Science · Physics and Astronomy · Medicine · #Generative Adversarial Networks and Image Synthesis #Model Reduction and Neural Networks #Advanced Neuroimaging Techniques and Applications