Sotirios Sabanis

1. Nonasymptotic estimates for Stochastic Gradient Langevin Dynamics under local conditions in nonconvex optimization
   2019/10/04 by Ying Zhang, Zhang, Ying, Ömer Deniz Akyıldız +5 · 9 citations
   Engineering · Mathematics · #60J20 #60J22 #62D05 #65C05 #65C40 #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Markov Chains and Monte Carlo Methods #Point processes and geometric inequalities #Probability (math.PR) #Sparse and Compressive Sensing Techniques #Statistics Theory (math.ST)
2. The tamed unadjusted Langevin algorithm
   2019/10/01 by Nicolas Brosse, Alain Durmus, Éric Moulines +1 · 6 citations
3. On stochastic gradient Langevin dynamics with dependent data streams in the logconcave case
   2018/12/06 by Mathias Barkhagen, Nancy H. Chau, Barkhagen, M. +9 · 5 citations
   Mathematics · #62L10 #62L20 #65C40 #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (stat.ML) #Markov Chains and Monte Carlo Methods #Point processes and geometric inequalities #Probability (math.PR) #Statistical Methods and Inference #Statistics Theory (math.ST)
4. On stochastic gradient Langevin dynamics with dependent data streams: the fully non-convex case
   2019/05/30 by Ngọc Huy Châu, Chau, Ngoc Huy, Éric Moulines +7 · 5 citations
   Mathematics · Medicine · #62L10 #65C05 #93E35 #Advanced Neuroimaging Techniques and Applications #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (stat.ML) #Markov Chains and Monte Carlo Methods #Probability (math.PR) #Statistical Methods and Inference #Statistics Theory (math.ST)
5. On diffusion-based generative models and their error bounds: The log-concave case with full convergence estimates
   2023/11/22 by Stefano Bruno, Bruno, Stefano, Ying Zhang +7 · 6 citations
   Mathematics · #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Markov Chains and Monte Carlo Methods #Optimization and Control (math.OC) #Point processes and geometric inequalities #Probability (math.PR) #Statistical Methods and Inference
6. Euler approximations with varying coefficients: The case of superlinearly growing diffusion coefficients
   2016/08/01 by Sotirios Sabanis · 2 citations
7. On Explicit Approximations for Lévy Driven SDEs with Super-linear Diffusion Coefficients
   2016/11/10 by Chaman Kumar, Sotirios Sabanis, Kumar, Chaman +1 · 2 citations
   Economics, Econometrics and Finance · Mathematics · #Complex Systems and Time Series Analysis #FOS: Mathematics #Mathematical Biology Tumor Growth #Numerical Analysis (math.NA) #Primary 60H35 #Probability (math.PR) #Stochastic processes and financial applications #secondary 65C30
8. Taming under isoperimetry
   2023/11/15 by Iosif Lytras, Sotirios Sabanis, Lytras, Iosif +1 · 4 citations
   Engineering · Mathematics · #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (stat.ML) #Markov Chains and Monte Carlo Methods #Numerical Analysis (math.NA) #Optimization and Control (math.OC) #Probability (math.PR) #Sparse and Compressive Sensing Techniques #Statistical Methods and Inference #Statistics Theory (math.ST)
9. Non-asymptotic estimates for TUSLA algorithm for non-convex learning with applications to neural networks with ReLU activation function
   2021/07/19 by Dong‐Young Lim, Ariel Neufeld, Lim, Dong-Young +5 · 2 citations
   Computer Science · Mathematics · #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Markov Chains and Monte Carlo Methods #Numerical Analysis (math.NA) #Optimization and Control (math.OC) #Probability (math.PR) #Statistical Methods and Inference #Stochastic Gradient Optimization Techniques
10. Taming neural networks with TUSLA: Non-convex learning via adaptive stochastic gradient Langevin algorithms
    2020/06/25 by Attila Lovas, Lovas, Attila, Iosif Lytras +5 · 2 citations
    Computer Science · Mathematics · #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Markov Chains and Monte Carlo Methods #Neural Networks and Applications #Optimization and Control (math.OC) #Probability (math.PR) #Stochastic Gradient Optimization Techniques
11. Kinetic Langevin MCMC Sampling Without Gradient Lipschitz Continuity -- the Strongly Convex Case
    2023/01/19 by Tim R. Johnston, Iosif Lytras, Johnston, Tim +3 · 2 citations
    Mathematics · Medicine · #Advanced MRI Techniques and Applications #Advanced Neuroimaging Techniques and Applications #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Markov Chains and Monte Carlo Methods #Numerical Analysis (math.NA) #Optimization and Control (math.OC) #Probability (math.PR)
12. Statistical Finite Elements via Langevin Dynamics
    2021/10/21 by Ömer Deniz Akyıldız, Connor Duffin, Akyildiz, Ömer Deniz +5 · 1 citation
    Decision Sciences · Mathematics · Physics and Astronomy · #Computation (stat.CO) #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (stat.ML) #Markov Chains and Monte Carlo Methods #Model Reduction and Neural Networks #Numerical Analysis (math.NA) #Probabilistic and Robust Engineering Design
13. Wasserstein Convergence of Score-based Generative Models under Semiconvexity and Discontinuous Gradients
    2025/05/06 by Stefano Bruno, Sotirios Sabanis, Bruno, Stefano +1 · 3 citations
    Computer Science · Mathematics · Medicine · #Advanced Neuroimaging Techniques and Applications #FOS: Computer and information sciences #FOS: Mathematics #Geometric Analysis and Curvature Flows #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Optimization and Control (math.OC) #Probability (math.PR) #Stochastic Gradient Optimization Techniques