Lingjiong Zhu

1. Wasserstein Convergence Guarantees for a General Class of Score-Based Generative Models
   2023/11/18 by Xuefeng Gao, Hoang Minh Nguyen, Gao, Xuefeng +3 · 13 citations
   Computer Science · Medicine · #Advanced Neuroimaging Techniques and Applications #FOS: Computer and information sciences #FOS: Mathematics #Generative Adversarial Networks and Image Synthesis #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Medical Image Segmentation Techniques #Probability (math.PR)
2. Convergence Analysis for General Probability Flow ODEs of Diffusion Models in Wasserstein Distances
   2024/01/31 by Xuefeng Gao, Lingjiong Zhu, Gao, Xuefeng +1 · 12 citations
   Engineering · #FOS: Computer and information sciences #FOS: Mathematics #Fluid Dynamics and Turbulent Flows #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Probability (math.PR)
3. Global Convergence of Stochastic Gradient Hamiltonian Monte Carlo for Non-Convex Stochastic Optimization: Non-Asymptotic Performance Bounds and Momentum-Based Acceleration
   2018/09/12 by Xuefeng Gao, Gao, Xuefeng, Mert Gürbüzbalaban +3 · 5 citations
   Computer Science · Mathematics · #FOS: Computer and information sciences #FOS: Mathematics #Gaussian Processes and Bayesian Inference #Machine Learning (cs.LG) #Markov Chains and Monte Carlo Methods #Optimization and Control (math.OC) #Stochastic Gradient Optimization Techniques
4. Convergence Rates of Stochastic Gradient Descent under Infinite Noise Variance
   2021/02/20 by Hongjian Wang, Mert Gürbüzbalaban, Wang, Hongjian +7 · 3 citations
   Computer Science · Engineering · Mathematics · #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (stat.ML) #Optimization and Control (math.OC) #Random Matrices and Applications #Sparse and Compressive Sensing Techniques #Stochastic Gradient Optimization Techniques
5. Algorithmic Stability of Heavy-Tailed SGD with General Loss Functions
   2023/01/27 by Anant Raj, Lingjiong Zhu, Raj, Anant +5 · 3 citations
   Computer Science · Mathematics · #FOS: Computer and information sciences #Geometric Analysis and Curvature Flows #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Markov Chains and Monte Carlo Methods #Stochastic Gradient Optimization Techniques
6. Decentralized Stochastic Gradient Langevin Dynamics and Hamiltonian\n Monte Carlo
   2020/07/01 by Mert Gürbüzbalaban, Xuefeng Gao, Gürbüzbalaban, Mert +5 · 2 citations
   Mathematics · Computer Science · #Markov Chains and Monte Carlo Methods #Topological and Geometric Data Analysis #Statistical Methods and Inference
7. Privacy of SGD under Gaussian or Heavy-Tailed Noise: Guarantees without Gradient Clipping
   2024/03/04 by Umut Şimşekli, Mert Gürbüzbalaban, Şimşekli, Umut +5 · 2 citations
   Computer Science · #Cryptography and Data Security #Cryptography and Security (cs.CR) #FOS: Computer and information sciences #FOS: Mathematics #Internet Traffic Analysis and Secure E-voting #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Privacy-Preserving Technologies in Data #Statistics Theory (math.ST)
8. Nonlinear Hawkes Processes
   2013/04/28 by Lingjiong Zhu, Zhu, Lingjiong · 1 citation
   Biochemistry, Genetics and Molecular Biology · Mathematics · #Diffusion and Search Dynamics #FOS: Mathematics #Point processes and geometric inequalities #Probability (math.PR)
9. Weak Equilibrium Measures and Capacity--Hitting Identities for the Hypoelliptic Third-Order Langevin Diffusion
   2026/07/22 by Ping He, Xiaodan Li, Yingli Wang +1
   #math.PR
10. An Eyring--Kramers Law for the Hypoelliptic Third-Order Langevin Diffusion
    2026/07/23 by Yingli Wang, Lingjiong Zhu
    #math.PR #math.AP