Stanley Osher
- Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
1988/11/01 by Stanley Osher, James A Sethian, James A. Sethian · 131 citations
Engineering · Physics and Astronomy · Mathematics · #Fluid Dynamics and Turbulent Flows #Quantum chaos and dynamical systems #Geometric Analysis and Curvature Flows
- Nonlinear total variation based noise removal algorithms
1992/11/01 by Leonid I. Rudin, Stanley Osher, Emad Fatemi · 119 citations
- Efficient implementation of essentially non-oscillatory shock-capturing schemes
1988/08/01 by Chi-Wang Shu, Chi‐Wang Shu, Stanley Osher · 52 citations
Engineering · Mathematics · #Computational Fluid Dynamics and Aerodynamics #Fluid Dynamics and Turbulent Flows #Gas Dynamics and Kinetic Theory
- A Level Set Approach for Computing Solutions to Incompressible Two-Phase Flow
1994/09/01 by Mark Sussman, Peter Smereka, Stanley Osher · 35 citations
Engineering · Computer Science · Earth and Planetary Sciences · #Fluid Dynamics and Heat Transfer #Computer Graphics and Visualization Techniques #Aquatic and Environmental Studies
- Understanding Straight-Through Estimator in Training Activation Quantized Neural Nets
2019/03/13 by Penghang Yin, Yin, Penghang, Jiancheng Lyu +9 · 38 citations
Computer Science · #Domain Adaptation and Few-Shot Learning #Advanced Neural Network Applications #Machine Learning and ELM
- JFB: Jacobian-Free Backpropagation for Implicit Networks
2021/03/23 by Samy Wu Fung, Howard Heaton, Fung, Samy Wu +9 · 11 citations
Engineering · Physics and Astronomy · #Dam Engineering and Safety #FOS: Computer and information sciences #Machine Learning (cs.LG) #Model Reduction and Neural Networks
- Deep Relaxation: partial differential equations for optimizing deep\n neural networks
2017/04/17 by Pratik Chaudhari, Adam M. Oberman, Chaudhari, Pratik +7 · 4 citations
Computer Science · Physics and Astronomy · #Analysis of PDEs (math.AP) #FOS: Computer and information sciences #FOS: Mathematics #Gaussian Processes and Bayesian Inference #Machine Learning (cs.LG) #Model Reduction and Neural Networks #Optimization and Control (math.OC) #Stochastic Gradient Optimization Techniques
- Fast Global Minimization of the Active Contour/Snake Model
2007/07/14 by Xavier Bresson, Selim Esedoḡlu, Selim Esedoḡlu +4 · 3 citations
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Mathematical Biology Tumor Growth #Medical Image Segmentation Techniques
- Scheduled Restart Momentum for Accelerated Stochastic Gradient Descent
2020/02/24 by Bao Wang, Wang, Bao, Tan M. Nguyen +7 · 4 citations
Computer Science · #Stochastic Gradient Optimization Techniques #Advanced Neural Network Applications #Adversarial Robustness in Machine Learning
- Blended Coarse Gradient Descent for Full Quantization of Deep Neural Networks
2018/08/15 by Penghang Yin, Yin, Penghang, Shuai Zhang +9 · 4 citations
Computer Science · Medicine · #Advanced Neural Network Applications #COVID-19 diagnosis using AI #Computer Vision and Pattern Recognition (cs.CV) #Domain Adaptation and Few-Shot Learning #FOS: Computer and information sciences #Machine Learning (cs.LG) #Machine Learning (stat.ML)
- Heavy Ball Neural Ordinary Differential Equations
2021/10/10 by Hedi Xia, Vai Suliafu, Xia, Hedi +11 · 4 citations
Computer Science · Engineering · Physics and Astronomy · #68T07 #Artificial Intelligence (cs.AI) #Dynamical Systems (math.DS) #FOS: Computer and information sciences #FOS: Mathematics #I.2 #Lattice Boltzmann Simulation Studies #Machine Learning (cs.LG) #Model Reduction and Neural Networks #Neural Networks and Applications #Numerical Analysis (math.NA)
- PDE Generalization of In-Context Operator Networks: A Study on 1D Scalar Nonlinear Conservation Laws
2024/01/14 by Yang, Liu, Stanley Osher, Osher, Stanley J. · 6 citations
Computer Science · #Artificial Intelligence (cs.AI) #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Neural Networks and Reservoir Computing #Numerical Analysis (math.NA)
- Deep Neural Nets with Interpolating Function as Output Activation
2018/02/01 by Bao Wang, Wang, Bao, Xiyang Luo +10 · 1 voice · 1 citation
Computer Science · Physics and Astronomy · #Machine Learning and Data Classification #Model Reduction and Neural Networks #Neural Networks and Applications #cs.CV #cs.LG #stat.ML
- Solving Large-Scale Optimization Problems with a Convergence Rate\n Independent of Grid Size
2018/05/23 by Matt Jacobs, Jacobs, Matt, Flavien Léger +5 · 2 citations
Computer Science · Medicine · #49M29 #65K10 #Advanced Neuroimaging Techniques and Applications #FOS: Mathematics #Medical Image Segmentation Techniques #Medical Imaging Techniques and Applications #Numerical Analysis (math.NA) #Optimization and Control (math.OC)
- DP-LSSGD: A Stochastic Optimization Method to Lift the Utility in Privacy-Preserving ERM
2019/06/28 by Bao Wang, Wang, Bao, Quanquan Gu +7 · 2 citations
Computer Science · #68T05 #Cryptography and Data Security #Cryptography and Security (cs.CR) #FOS: Computer and information sciences #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Privacy-Preserving Technologies in Data #Stochastic Gradient Optimization Techniques
- A mean field game inverse problem
2020/07/22 by Lisang Ding, Wuchen Li, Ding, Lisang +5 · 2 citations
Physics and Astronomy · #Statistical Mechanics and Entropy #Advanced Thermodynamics and Statistical Mechanics #Opinion Dynamics and Social Influence
- Global Solutions to Nonconvex Problems by Evolution of Hamilton-Jacobi PDEs
2022/02/22 by Howard Heaton, Heaton, Howard, Samy Wu Fung +3 · 2 citations
Mathematics · Computer Science · #Mathematical Biology Tumor Growth #Advanced Optimization Algorithms Research #Optimization and Variational Analysis
- Optimal Data Collection For Informative Rankings Expose Well-Connected\n Graphs
2012/07/26 by Braxton Osting, Osting, Braxton, Christoph Brüne +3 · 1 citation
Economics, Econometrics and Finance · Physics and Astronomy · Social Sciences · #05C40 #49N45 #62F07 #Applications (stat.AP) #Complex Network Analysis Techniques #FOS: Computer and information sciences #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Sports Analytics and Performance #Transportation Planning and Optimization
- Deep Learning for Real-Time Crime Forecasting and its Ternarization
2017/11/23 by Bao Wang, Penghang Yin, Wang, Bao +9 · 2 citations
Computer Science · #62-07 #Anomaly Detection Techniques and Applications #Data Visualization and Analytics #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Numerical Analysis (math.NA) #Time Series Analysis and Forecasting
- VICON: Vision In-Context Operator Networks for Multi-Physics Fluid Dynamics Prediction
2024/11/25 by Yadi Cao, Yuxuan Liu, Cao, Yadi +9 · 4 citations
Computer Science · Engineering · #Advanced Neural Network Applications #Anomaly Detection Techniques and Applications #Autonomous Vehicle Technology and Safety #FOS: Computer and information sciences #FOS: Mathematics #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Machine Learning (cs.LG) #Numerical Analysis (math.NA)
- Algorithm for Overcoming the Curse of Dimensionality for State-dependent Hamilton-Jacobi equations
2017/04/08 by Yat Tin Chow, Jérôme Darbon, Chow, Yat Tin +5 · 1 citation
Computer Science · Mathematics · Physics and Astronomy · #35F21 #46N10 #49N70 #49N90 #90C90 #91A23 #93C95 #Advanced Optimization Algorithms Research #Analysis of PDEs (math.AP) #FOS: Mathematics #Optimization and Control (math.OC) #Polynomial and algebraic computation #Quantum chaos and dynamical systems
- A deep learning algorithm for computing mean field control problems via forward-backward score dynamics
2024/01/17 by Mo Zhou, Zhou, Mo, Stanley Osher +3 · 2 citations
Physics and Astronomy · Engineering · Economics, Econometrics and Finance · #Model Reduction and Neural Networks #Fluid Dynamics and Turbulent Flows #Stochastic processes and financial applications
- Taming Hyperparameter Tuning in Continuous Normalizing Flows Using the JKO Scheme
2022/11/30 by Alexander Vidal, Samy Wu Fung, Vidal, Alexander +7 · 2 citations
Computer Science · Physics and Astronomy · #Adversarial Robustness in Machine Learning #FOS: Computer and information sciences #FOS: Mathematics #Generative Adversarial Networks and Image Synthesis #Machine Learning (cs.LG) #Model Reduction and Neural Networks #Optimization and Control (math.OC)
- Kernel Expansions for High-Dimensional Mean-Field Control with Non-local Interactions
2024/05/17 by Alexander Vidal, Vidal, Alexander, Samy Wu Fung +7 · 2 citations
Engineering · Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #FOS: Mathematics #Gas Dynamics and Kinetic Theory #Optimization and Control (math.OC) #Stability and Controllability of Differential Equations
- Controlling conservation laws I: entropy-entropy flux
2021/11/10 by Wuchen Li, Li, Wuchen, Siting Liu +3 · 1 citation
Mathematics · Engineering · #Geometric Analysis and Curvature Flows #Mathematical Biology Tumor Growth #Fluid Dynamics and Turbulent Flows
- How Does Momentum Benefit Deep Neural Networks Architecture Design? A Few Case Studies
2021/10/13 by Bao Wang, Wang, Bao, Hedi Xia +5 · 1 citation
Computer Science · Physics and Astronomy · #68Txx #Computational Physics and Python Applications #Dynamical Systems (math.DS) #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Model Reduction and Neural Networks #Neural Networks and Applications #Numerical Analysis (math.NA)
- Optimal Control for Transformer Architectures: Enhancing Generalization, Robustness and Efficiency
2025/05/16 by Kelvin Kan, Xingjian Li, Kan, Kelvin +9 · 5 citations
Materials Science · Engineering · #Magnetic Properties and Applications #Advanced DC-DC Converters #Power Transformer Diagnostics and Insulation
- Neural ODE Control for Trajectory Approximation of Continuity Equation
2022/05/18 by Karthik Elamvazhuthi, Elamvazhuthi, Karthik, Bahman Gharesifard +5 · 1 citation
Physics and Astronomy · Computer Science · Engineering · #Model Reduction and Neural Networks #Neural Networks and Applications #Control Systems and Identification
- Noise-Free Sampling Algorithms via Regularized Wasserstein Proximals
2023/08/28 by Hong Ye Tan, Stanley Osher, Tan, Hong Ye +3 · 2 citations
Computer Science · Mathematics · #62G07 #65C05 #Computation (stat.CO) #Domain Adaptation and Few-Shot Learning #FOS: Computer and information sciences #Gaussian Processes and Bayesian Inference #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Markov Chains and Monte Carlo Methods
- Laplace Meets Moreau: Smooth Approximation to Infimal Convolutions Using Laplace's Method
2024/06/04 by Ryan J. Tibshirani, Samy Wu Fung, Tibshirani, Ryan J. +5 · 2 citations
Physics and Astronomy · Computer Science · #Electromagnetic Scattering and Analysis #Advanced Mathematical Modeling in Engineering #Scientific Research and Discoveries
- A Natural Primal-Dual Hybrid Gradient Method for Adversarial Neural Network Training on Solving Partial Differential Equations
2024/11/09 by Shuming Liu, Stanley Osher, Liu, Shu +3 · 2 citations
Physics and Astronomy · #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Model Reduction and Neural Networks #Numerical Analysis (math.NA) #Optimization and Control (math.OC)
- Score-based Neural Ordinary Differential Equations for Computing Mean Field Control Problems
2024/09/24 by Mo Zhou, Zhou, Mo, Stanley Osher +3 · 2 citations
Computer Science · Physics and Astronomy · #34H05 #FOS: Computer and information sciences #FOS: Mathematics #G.1.7 #Machine Learning (cs.LG) #Model Reduction and Neural Networks #Neural Networks and Applications #Optimization and Control (math.OC)
- A kernel formula for regularized Wasserstein proximal operators
2023/01/24 by Wuchen Li, Siting Liu, Li, Wuchen +3 · 2 citations
Engineering · Mathematics · #FOS: Mathematics #Geometric Analysis and Curvature Flows #Numerical Analysis (math.NA) #Numerical methods in engineering #Numerical methods in inverse problems #Optimization and Control (math.OC)
- A Multimodal PDE Foundation Model for Prediction and Scientific Text Descriptions
2025/02/09 by Elisa Negrini, Negrini, Elisa, Yuxuan Liu +7 · 2 citations
Computer Science · #Natural Language Processing Techniques #Topic Modeling #Advanced Text Analysis Techniques
- Laplacian Smoothing Gradient Descent
2018/06/17 by Stanley Osher, Bao Wang, Osher, Stanley +10 · 2 citations
Computer Science · Engineering · Physics and Astronomy · #65-06 #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Model Reduction and Neural Networks #Numerical Analysis (math.NA) #Sparse and Compressive Sensing Techniques #Stochastic Gradient Optimization Techniques
- OT-Transformer: A Continuous-time Transformer Architecture with Optimal Transport Regularization
2025/01/30 by Kelvin Kan, Kan, Kelvin, Xingjian Li +3 · 1 citation
Engineering · #Advanced Fiber Optic Sensors #Artificial Intelligence (cs.AI) #FOS: Computer and information sciences #Machine Learning (cs.LG) #Photonic and Optical Devices #Semiconductor Lasers and Optical Devices
- Inexact Proximal Point Algorithms for Zeroth-Order Global Optimization
2024/12/16 by Minxin Zhang, Fuqun Han, Zhang, Minxin +7 · 1 citation
Mathematics · Computer Science · #Advanced Optimization Algorithms Research #Optimization and Variational Analysis #Iterative Methods for Nonlinear Equations
- End-to-End Learning of Safe Optimal Feedback Control in High Dimensions with Control Barrier Function Layers
2026/07/22 by Xingjian Li, Kelvin Kan, Deepanshu Verma +3
#cs.LG #cs.SY #eess.SY #math.OC