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Mert Gürbüzbalaban

  1. On the Heavy-Tailed Theory of Stochastic Gradient Descent for Deep Neural Networks
    2019/11/29 by Umut Şimşekli, Şimşekli, Umut, Mert Gürbüzbalaban +7 · 13 citations
    Computer Science · Engineering · #Stochastic Gradient Optimization Techniques #Sparse and Compressive Sensing Techniques #Adversarial Robustness in Machine Learning
  2. Convergence Rates of Stochastic Gradient Descent under Infinite Noise Variance
    2021/02/20 by Hongjian Wang, Wang, Hongjian, Mert Gürbüzbalaban +7 · 6 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
  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 · 7 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. IDEAL: Inexact DEcentralized Accelerated Augmented Lagrangian Method
    2020/06/11 by Yossi Arjevani, Joan Bruna, Arjevani, Yossi +9 · 3 citations
    Computer Science · Engineering · #Stochastic Gradient Optimization Techniques #Sparse and Compressive Sensing Techniques #Distributed Control Multi-Agent Systems
  5. Surpassing Gradient Descent Provably: A Cyclic Incremental Method with\n Linear Convergence Rate
    2016/11/01 by Aryan Mokhtari, Mokhtari, Aryan, Mert Gürbüzbalaban +3 · 2 citations
    Computer Science · Engineering · #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Machine Learning and ELM #Optimization and Control (math.OC) #Sparse and Compressive Sensing Techniques #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 · 4 citations
    Mathematics · Computer Science · #Markov Chains and Monte Carlo Methods #Topological and Geometric Data Analysis #Statistical Methods and Inference
  7. Algorithmic Stability of Heavy-Tailed SGD with General Loss Functions
    2023/01/27 by Anant Raj, Raj, Anant, Lingjiong Zhu +5 · 4 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
  8. A Universally Optimal Multistage Accelerated Stochastic Gradient Method
    2019/01/23 by Necdet Serhat Aybat, Aybat, Necdet Serhat, Alireza Fallah +5 · 2 citations
    Computer Science · Engineering · Mathematics · #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Optimization and Control (math.OC) #Sparse and Compressive Sensing Techniques #Statistical Methods and Inference #Stochastic Gradient Optimization Techniques
  9. Distributionally Robust Learning with Weakly Convex Losses: Convergence Rates and Finite-Sample Guarantees
    2023/01/16 by Landi Zhu, Zhu, Landi, Mert Gürbüzbalaban +3 · 2 citations
    Decision Sciences · Mathematics · #FOS: Mathematics #Markov Chains and Monte Carlo Methods #Optimization and Control (math.OC) #Risk and Portfolio Optimization #Statistical Methods and Inference #Statistics Theory (math.ST)
  10. High-probability complexity guarantees for nonconvex minimax problems
    2024/05/23 by Yassine Laguel, Yasa Syed, Laguel, Yassine +5 · 3 citations
    Decision Sciences · Mathematics · #Advanced Optimization Algorithms Research #FOS: Mathematics #Multi-Criteria Decision Making #Optimization and Control (math.OC) #Risk and Portfolio Optimization
  11. Boundary Conditions for Linear Exit Time Gradient Trajectories Around Saddle Points: Analysis and Algorithm
    2021/01/07 by Rishabh Dixit, Mert Gürbüzbalaban, Dixit, Rishabh +3 · 1 citation
    Mathematics · Engineering · Computer Science · #Advanced Optimization Algorithms Research #Sparse and Compressive Sensing Techniques #Stochastic Gradient Optimization Techniques
  12. Randomized Gossiping with Effective Resistance Weights: Performance Guarantees and Applications
    2019/07/29 by Bugra Can, Can, Bugra, Saeed Soori +7 · 1 citation
    Computer Science · Physics and Astronomy · #46N10 #47N10 #Complex Network Analysis Techniques #Distributed Control Multi-Agent Systems #FOS: Mathematics #Opinion Dynamics and Social Influence #Optimization and Control (math.OC)
  13. Privacy of SGD under Gaussian or Heavy-Tailed Noise: Guarantees without Gradient Clipping
    2024/03/04 by Umut Şimşekli, Şimşekli, Umut, Mert Gürbüzbalaban +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)
  14. Uniform-in-Time Wasserstein Stability Bounds for (Noisy) Stochastic Gradient Descent
    2023/05/20 by Lingjiong Zhu, Mert Gürbüzbalaban, Zhu, Lingjiong +5 · 1 citation
    Computer Science · Engineering · #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Optimization and Control (math.OC) #Sparse and Compressive Sensing Techniques #Stochastic Gradient Optimization Techniques
  15. Non-Convex Optimization via Non-Reversible Stochastic Gradient Langevin Dynamics
    2020/04/06 by Yuanhan Hu, Hu, Yuanhan, Xiaoyu Wang +7 · 1 citation
    Computer Science · Engineering · Mathematics · #Blind Source Separation Techniques #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (stat.ML) #Markov Chains and Monte Carlo Methods #Optimization and Control (math.OC) #Sparse and Compressive Sensing Techniques
  16. Robustly Stable Accelerated Momentum Methods With A Near-Optimal L2 Gain and H_∞ Performance
    2023/09/20 by Mert Gürbüzbalaban, Gurbuzbalaban, Mert · 1 citation
    Computer Science · Engineering · Mathematics · #FOS: Mathematics #Numerical methods in inverse problems #Optimization and Control (math.OC) #Sparse and Compressive Sensing Techniques #Stochastic Gradient Optimization Techniques
  17. Generalized EXTRA stochastic gradient Langevin dynamics
    2024/12/02 by Mert Gürbüzbalaban, Gurbuzbalaban, Mert, Mohammad Rafiqul Islam +5 · 2 citations
    Engineering · Mathematics · #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Markov Chains and Monte Carlo Methods #Mathematical Biology Tumor Growth #Nanopore and Nanochannel Transport Studies #Optimization and Control (math.OC)