Houman Owhadi

1. Solving and Learning Nonlinear PDEs with Gaussian Processes
   2021/03/24 by Yifan Chen, Bamdad Hosseini, Chen, Yifan +5 · 25 citations
   Computer Science · Decision Sciences · Physics and Astronomy · #34B15 #35R30 #41A15 #47B34 #60G15 #65M75 #65N35 #65N75 #FOS: Computer and information sciences #FOS: Mathematics #Gaussian Processes and Bayesian Inference #Machine Learning (stat.ML) #Model Reduction and Neural Networks #Numerical Analysis (math.NA) #Probabilistic and Robust Engineering Design
2. Multigrid with Rough Coefficients and Multiresolution Operator Decomposition from Hierarchical Information Games
   2017/01/01 by Houman Owhadi · 9 citations
   Computer Science · Engineering · #Advanced Mathematical Modeling in Engineering #Advanced Numerical Methods in Computational Mathematics #Image and Signal Denoising Methods
3. Compression, inversion, and approximate PCA of dense kernel matrices at\n near-linear computational complexity
   2017/06/07 by Florian Schäfer, T. J. Sullivan, Schäfer, Florian +3 · 7 citations
   Computer Science · Engineering · Environmental Science · #42C40 #60G42 #65F30 #65F50 #65N55 #65N75 #68Q25 #68W40 #Computational Complexity (cs.CC) #Data Structures and Algorithms (cs.DS) #FOS: Computer and information sciences #FOS: Mathematics #Matrix Theory and Algorithms #Numerical Analysis (math.NA) #Probability (math.PR) #Soil Geostatistics and Mapping #Sparse and Compressive Sensing Techniques
4. Sparse Cholesky Factorization for Solving Nonlinear PDEs via Gaussian Processes
   2023/04/03 by Yifan Chen, Chen, Yifan, Houman Owhadi +3 · 8 citations
   Computer Science · Mathematics · #60G15 #65F30 #65F50 #65M75 #65N75 #68W40 #FOS: Computer and information sciences #FOS: Mathematics #Gaussian Processes and Bayesian Inference #Image and Signal Denoising Methods #Machine Learning (stat.ML) #Numerical Analysis (math.NA) #Optimization and Control (math.OC) #Statistical and numerical algorithms #Statistics Theory (math.ST)
5. Error Analysis of Kernel/GP Methods for Nonlinear and Parametric PDEs
   2023/05/08 by Pau Batlle, Yifan Chen, Batlle, Pau +7 · 6 citations
   Physics and Astronomy · Mathematics · Computer Science · #Model Reduction and Neural Networks #Statistical Methods and Inference #Gaussian Processes and Bayesian Inference
6. Computational Graph Completion
   2021/10/20 by Houman Owhadi, Owhadi, Houman · 5 citations
   Engineering · #Systems Engineering Methodologies and Applications #Fault Detection and Control Systems #Advanced Data Processing Techniques
7. Space-time FLAVORS: finite difference, multisymlectic, and pseudospectral integrators for multiscale PDEs
   2011/04/01 by Molei Tao, Tao, Molei, Houman Owhadi +3 · 1 citation
   Computer Science · Engineering · Mathematics · #Advanced Mathematical Modeling in Engineering #Advanced Numerical Methods in Computational Mathematics #Analysis of PDEs (math.AP) #Computational Physics (physics.comp-ph) #Dynamical Systems (math.DS) #FOS: Mathematics #FOS: Physical sciences #Numerical Analysis (math.NA) #Numerical methods for differential equations
8. Do ideas have shape? Idea registration as the continuous limit of artificial neural networks
   2023/02/01 by Houman Owhadi · 3 citations
9. Convex Optimal Uncertainty Quantification
   2013/11/27 by Shuo Han, Han, Shuo, Molei Tao +7 · 1 citation
   Computer Science · Decision Sciences · #Advanced Multi-Objective Optimization Algorithms #FOS: Mathematics #Optimization and Control (math.OC) #Probabilistic and Robust Engineering Design #Risk and Portfolio Optimization
10. A note on learning kernels from data from an Algorithmic Information Theoretic point of view
    2023/01/01 by Boumediene Hamzi, Marcus Hütter, Marcus Hutter +1 · 1 voice · 2 citations
    Computer Science · #Machine Learning and Algorithms #Machine Learning and Data Classification #Neural Networks and Applications #cs.IT #cs.LG #stat.ML
11. Toward Efficient Kernel-Based Solvers for Nonlinear PDEs
    2024/10/15 by Zhitong Xu, Xu, Zhitong, Da Long +9 · 4 citations
    Computer Science · Mathematics · Physics and Astronomy · #FOS: Computer and information sciences #Machine Learning (cs.LG) #Matrix Theory and Algorithms #Model Reduction and Neural Networks #Numerical methods for differential equations
12. Consistency of Empirical Bayes And Kernel Flow For Hierarchical Parameter Estimation
    2020/05/22 by Yifan Chen, Chen, Yifan, Houman Owhadi +3 · 2 citations
    Computer Science · #65F12 62C10 41A05 35Q62 #Advanced Multi-Objective Optimization Algorithms #FOS: Computer and information sciences #FOS: Mathematics #Gaussian Processes and Bayesian Inference #Machine Learning (stat.ML) #Machine Learning and Algorithms #Numerical Analysis (math.NA) #Statistics Theory (math.ST)
13. Codiscovering graphical structure and functional relationships within data: A Gaussian Process framework for connecting the dots
    2023/11/28 by Théo Bourdais, Pau Batlle, Bourdais, Théo +9 · 2 citations
    Computer Science · #15A83 #46E22 #62A09 #62D20 #62H22 #62J02 #65S05 #68R10 #90C35 #94C15 #Artificial Intelligence (cs.AI) #Data Visualization and Analytics #FOS: Computer and information sciences #FOS: Mathematics #Gaussian Processes and Bayesian Inference #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Machine Learning and Data Classification #Numerical Analysis (math.NA) #Social and Information Networks (cs.SI)
14. Optimization-based frequentist confidence intervals for functionals in constrained inverse problems: Resolving the Burrus conjecture
    2023/10/03 by Pau Batlle, Pratik Patil, Batlle, Pau +7 · 2 citations
    Engineering · Mathematics · #FOS: Computer and information sciences #FOS: Mathematics #Methodology (stat.ME) #Numerical methods in inverse problems #Sparse and Compressive Sensing Techniques #Statistical Methods and Inference #Statistics Theory (math.ST)
15. Diffeomorphic Measure Matching with Kernels for Generative Modeling
    2024/02/12 by Biraj Pandey, Pandey, Biraj, Bamdad Hosseini +5 · 1 citation
    Mathematics · #35Q68 49Q22 62F15 68T07 62R07 #Computation (stat.CO) #Dynamical Systems (math.DS) #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Mathematical Dynamics and Fractals
16. Confidence intervals for functionals in constrained inverse problems via data-adaptive sampling-based calibration
    2025/02/04 by Michael Stanley, Stanley, Michael, Pau Batlle +7 · 2 citations
    Mathematics · Engineering · #Numerical methods in inverse problems #Statistical and numerical algorithms #Sparse and Compressive Sensing Techniques
17. Kernel Sum of Squares for Data Adapted Kernel Learning of Dynamical Systems from Data: A global optimization approach
    2024/08/12 by Daniel Lengyel, Panos Parpas, Lengyel, Daniel +5 · 3 citations
    Computer Science · Physics and Astronomy · #Dynamical Systems (math.DS) #FOS: Computer and information sciences #FOS: Mathematics #Gaussian Processes and Bayesian Inference #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Model Reduction and Neural Networks #Neural Networks and Applications #Optimization and Control (math.OC)
18. Learning Dynamical Systems from Data: A Simple Cross-Validation Perspective, Part V: Sparse Kernel Flows for 132 Chaotic Dynamical Systems
    2023/01/24 by Yang Lu, Xiuwen Sun, Yang, Lu +7 · 1 citation
    Computer Science · #Computational Physics and Python Applications #FOS: Computer and information sciences #Gaussian Processes and Bayesian Inference #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Neural Networks and Applications
19. Data-driven geophysical forecasting: Simple, low-cost, and accurate baselines with kernel methods
    2021/02/13 by Boumediene Hamzi, Hamzi, Boumediene, Romit Maulik +3 · 1 citation
    Earth and Planetary Sciences · Engineering · #Atmospheric and Oceanic Physics (physics.ao-ph) #Dynamical Systems (math.DS) #FOS: Computer and information sciences #FOS: Mathematics #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Geophysics (physics.geo-ph) #Machine Learning (stat.ML) #Meteorological Phenomena and Simulations #Reservoir Engineering and Simulation Methods #Seismic Imaging and Inversion Techniques
20. Gaussian Measures Conditioned on Nonlinear Observations: Consistency, MAP Estimators, and Simulation
    2024/05/21 by Yifan Chen, Chen, Yifan, Bamdad Hosseini +5 · 1 citation
    Environmental Science · #Computation (stat.CO) #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Numerical Analysis (math.NA) #Probability (math.PR) #Soil Geostatistics and Mapping