1. Fejér* monotonicity in optimization algorithms
   2024/10/10 by Behling, Roger, Bello-Cruz, Yunier, Iusem, Alfredo Noel +2 · 2 citations
   #49M27 #65B99 #65K05 #90C25 #FOS: Mathematics #Optimization and Control (math.OC)
2. BDF schemes for accelerated gradient flows in projection-free approximation of nonconvex constrained variational minimization
   2024/09/23 by Dong, Guozhi, Gong, Zikang, Xie, Ziqing +1 · 1 citation
   #65B99 #65K10 #65M15 #FOS: Mathematics #Numerical Analysis (math.NA) #Optimization and Control (math.OC)
3. Inertial Methods with Viscous and Hessian driven Damping for Non-Convex Optimization
   2024/07/17 by Maulen-Soto, Rodrigo, Fadili, Jalal, Ochs, Peter · 1 citation
   #37N40 #46N10 #49M15 #65B99 #65K05 #65K10 #90B50 #90C26 #90C53 #FOS: Mathematics #Optimization and Control (math.OC)
4. An SDE Perspective on Stochastic Inertial Gradient Dynamics with Time-Dependent Viscosity and Geometric Damping
   2024/07/05 by Rodrigo Maulen-Soto, Maulen-Soto, Rodrigo, Jalal Fadili +5 · 2 citations
   Economics, Econometrics and Finance · Mathematics · #37N40 #46N10 #49M99 #60G12 #60H10 #65B99 #65K05 #65K10 #90B50 #90C25 #90C53 #FOS: Mathematics #Markov Chains and Monte Carlo Methods #Mathematical Biology Tumor Growth #Optimization and Control (math.OC) #Stochastic processes and financial applications
5. An optimal lower bound for smooth convex functions
   2024/04/29 by Florea, Mihai I., Nesterov, Yurii · 2 citations
   #52A41 #65B99 #65Y20 #68Q25 #90C25 #FOS: Mathematics #Optimization and Control (math.OC)
6. Stochastic Inertial Dynamics Via Time Scaling and Averaging
   2024/03/25 by Maulen-Soto, Rodrigo, Fadili, Jalal, Attouch, Hedy +1 · 1 citation
   #37N40 #46N10 #49J52 #49M99 #60H10 #65B99 #65K05 #65K10 #90B50 #90C25 #90C53 #FOS: Mathematics #Optimization and Control (math.OC)
7. Dynamically accelerating the power iteration with momentum
   2024/03/14 by Austin, Christian, Pollock, Sara, Zhu, Yunrong · 3 citations
   #65B99 #65F15 #FOS: Mathematics #Numerical Analysis (math.NA)
8. Tikhonov Regularization for Stochastic Non-Smooth Convex Optimization in Hilbert Spaces
   2024/03/11 by Rodrigo Maulen-Soto, Maulen-Soto, Rodrigo, Jalal Fadili +3 · 1 citation
   Computer Science · Engineering · Mathematics · #37N40 #46N10 #49J52 #49M99 #60H10 #65B99 #65K05 #65K10 #900B50 #90C25 #FOS: Mathematics #Numerical methods in inverse problems #Optimization and Control (math.OC) #Optimization and Variational Analysis #Sparse and Compressive Sensing Techniques
9. Solving High Dimensional Partial Differential Equations Using Tensor Neural Network and A Posteriori Error Estimators
   2023/11/05 by Wang, Yifan, Lin, Zhongshuo, Liao, Yangfei +2 · 3 citations
   #65B99 #65L70 #65N25 #68T07 #FOS: Mathematics #Numerical Analysis (math.NA)
10. Accelerated high-index saddle dynamics method for searching high-index saddle points
    2023/10/07 by Yue Luo, Luo, Yue, Xiangcheng Zheng +3 · 2 citations
    Computer Science · Engineering · Physics and Astronomy · #37M05 #37N30 #65B99 #65L20 #Advanced Numerical Methods in Computational Mathematics #FOS: Mathematics #Model Reduction and Neural Networks #Neural Networks and Applications #Numerical Analysis (math.NA)
11. Gradient Coding with Iterative Block Leverage Score Sampling
    2023/08/06 by Charalambides, Neophytos, Pilanci, Mert, Hero, Alfred · 1 citation
    #65B99 #65F10 #65F20 #65F45 #65F55 #68P20 #68P30 #68W20 #68W25 #94A20 #Distributed #E.4 #FOS: Computer and information sciences #FOS: Mathematics #G.1.2 #G.1.3 #G.1.6 #G.3 #Information Retrieval (cs.IR) #Information Theory (cs.IT) #Machine Learning (cs.LG) #Numerical Analysis (math.NA) #Parallel #and Cluster Computing (cs.DC)
12. Computing Multi-Eigenpairs of High-Dimensional Eigenvalue Problems Using Tensor Neural Networks
    2023/05/22 by Yifan Wang, Wang, Yifan, Hehi Xie +1 · 4 citations
    Computer Science · Mathematics · Physics and Astronomy · #65B99 #65L15 #65N25 #65N30 #FOS: Mathematics #Matrix Theory and Algorithms #Model Reduction and Neural Networks #Numerical Analysis (math.NA) #Tensor decomposition and applications
13. Restarts subject to approximate sharpness: A parameter-free and optimal scheme for first-order methods
    2023/01/05 by Ben Adcock, Matthew J. Colbrook, Adcock, Ben +3 · 1 citation
    Computer Science · Engineering · #65B99 #65K0 #68Q25 #90C25 #90C60 #Computer Vision and Pattern Recognition (cs.CV) #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Numerical Analysis (math.NA) #Optimization and Control (math.OC) #Photoacoustic and Ultrasonic Imaging #Sparse and Compressive Sensing Techniques #Stochastic Gradient Optimization Techniques
14. Fast convex optimization via closed-loop time scaling of gradient dynamics
    2023/01/02 by Attouch, Hedy, Bot, Radu Ioan, Nguyen, Dang-Khoa · 1 citation
    #37N40 #46N10 #49M30 #65B99 #65K05 #65K10 #90B50 #90C25 #FOS: Mathematics #Optimization and Control (math.OC)
15. Solving High Dimensional Partial Differential Equations Using Tensor Type Discretization and Optimization Process
    2022/11/29 by Yangfei Liao, Liao, Yangfei, Yifan Wang +3 · 1 citation
    Computer Science · Mathematics · #65B99 #65L15 #65N25 #65N30 #FOS: Mathematics #Matrix Theory and Algorithms #Numerical Analysis (math.NA) #Numerical methods for differential equations #Tensor decomposition and applications
16. Solving Schrödinger Equation Using Tensor Neural Network
    2022/09/26 by Liao, Yangfei, Lin, Zhongshuo, Liu, Jianghao +5 · 1 citation
    #65B99 #65L15 #65N25 #68T07 #Chemical Physics (physics.chem-ph) #Computational Physics (physics.comp-ph) #FOS: Physical sciences
17. An efficient and energy decaying discontinuous Galerkin method for Maxwell's equations for the Cole-Cole dispersive medium
    2022/08/23 by Xie, Jiangming, Li, Maojun, Ou, Miao-Jung Yvonne · 1 citation
    #65B99 #78-10 #FOS: Mathematics #Numerical Analysis (math.NA)
18. The superiorization method with restarted perturbations for split minimization problems with an application to radiotherapy treatment planning
    2022/07/12 by Francisco J. Aragón Artacho, Yair Censor, Aragón-Artacho, Francisco J. +5 · 1 citation
    Engineering · Mathematics · #47N10 #49M37 #65B99 #65K10 #90C25 #92C50 #92C55 #Advanced Optimization Algorithms Research #FOS: Mathematics #FOS: Physical sciences #Medical Physics (physics.med-ph) #Optimization and Control (math.OC) #Sparse and Compressive Sensing Techniques #Statistical Methods and Inference
19. Tensor Neural Network and Its Numerical Integration
    2022/07/06 by Wang, Yifan, Jin, Pengzhan, Xie, Hehu · 2 citations
    #65B99 #65L15 #65N25 #65N30 #FOS: Mathematics #Numerical Analysis (math.NA)
20. Fast Augmented Lagrangian Method in the convex regime with convergence guarantees for the iterates
    2021/11/17 by Bot, Radu Ioan, Csetnek, Ernö Robert, Nguyen, Dang-Khoa · 6 citations
    #49M29 #65B99 #65K05 #68Q25 #90C25 #FOS: Mathematics #Optimization and Control (math.OC)
21. On the effect of perturbations in first-order optimization methods with inertia and Hessian driven damping
    2021/06/30 by Attouch, Hedy, Fadili, Jalal, Kungurtsev, Vyacheslav · 1 citation
    #37N40 #46N10 #49M30 #65B99 #65K05 #65K10 #90B50 #90C25 #FOS: Mathematics #Optimization and Control (math.OC)
22. A Caputo fractional derivative-based algorithm for optimization
    2021/04/06 by Shin, Yeonjong, Darbon, Jérôme, Karniadakis, George Em · 2 citations
    #26A33 #65B99 #65K05 #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Numerical Analysis (math.NA) #Optimization and Control (math.OC)
23. An augmented wavelet reconstructor for atmospheric tomography
    2020/11/13 by Ramlau, Ronny, Stadler, Bernadett · 2 citations
    #65B99 #65R32 #65Y05 #65Y20 #85-08 #85-10 #FOS: Mathematics #FOS: Physical sciences #Instrumentation and Methods for Astrophysics (astro-ph.IM) #Numerical Analysis (math.NA)
24. Anderson Acceleration for Seismic Inversion
    2020/08/26 by Yang, Yunan · 1 citation
    #65B99 #65K10 #65N21 #86A22 #FOS: Mathematics #FOS: Physical sciences #Geophysics (physics.geo-ph) #Numerical Analysis (math.NA) #Optimization and Control (math.OC)
25. Best approximation mappings in Hilbert spaces
    2020/06/04 by Heinz H. Bauschke, Hui Ouyang, Bauschke, Heinz H. +3 · 1 citation
    Computer Science · Engineering · Mathematics · #41A50 #41A65 #65B99 #Advanced Optimization Algorithms Research #FOS: Mathematics #Optimization and Control (math.OC) #Optimization and Variational Analysis #Primary 90C25 #Secondary 46B04 #Sparse and Compressive Sensing Techniques
26. Guaranteed eigenvalue bounds for the Steklov eigenvalue problem
    2018/08/24 by You, Chun'guang, Xie, Hehu, Liu, Xuefeng · 1 citation
    #65B99 #65L15 #65N25 #65N30 #FOS: Mathematics #Numerical Analysis (math.NA)
27. An Efficient Multigrid Method for Ground State Solution of Bose-Einstein Condensates
    2017/11/04 by Hehu Xie, Xie, Hehu, Fei Xu +3 · 2 citations
    Engineering · Mathematics · #65B99 #65L15 #65N25 #65N30 #Advanced Numerical Methods in Computational Mathematics #Computational Fluid Dynamics and Aerodynamics #FOS: Mathematics #Numerical Analysis (math.NA) #Numerical methods for differential equations
28. Multilevel weighted least squares polynomial approximation
    2017/06/30 by Haji-Ali, Abdul-Lateef, Nobile, Fabio, Tempone, Raúl +1 · 1 citation
    #41A10 #41A25 #41A63 #65B99 #65D10 #65N12 #65N15 #65N22 #65N35 #FOS: Mathematics #Numerical Analysis (math.NA)
29. Batched Stochastic Gradient Descent with Weighted Sampling
    2016/08/27 by Needell, Deanna, Ward, Rachel · 1 citation
    #52A99 #60G99 #62L20 #65B99 #FOS: Mathematics #Numerical Analysis (math.NA)
30. A Multigrid Method for the Ground State Solution of Bose-Einstein Condensates
    2014/08/27 by Hehu Xie, Manting Xie, Xie, Hehu +1 · 1 citation
    Engineering · Mathematics · Physics and Astronomy · #65B99 #65L15 #65N25 #65N30 #Cold Atom Physics and Bose-Einstein Condensates #Computational Fluid Dynamics and Aerodynamics #FOS: Mathematics #Gas Dynamics and Kinetic Theory #Numerical Analysis (math.NA)

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