Villa, Umberto

1. Derivative-Informed Neural Operator: An Efficient Framework for High-Dimensional Parametric Derivative Learning
   2022/06/21 by Thomas O’Leary-Roseberry, O'Leary-Roseberry, Thomas, Peng Chen +5 · 8 citations
   Physics and Astronomy · Computer Science · Materials Science · #Model Reduction and Neural Networks #Neural Networks and Applications #Machine Learning in Materials Science
2. Derivative-Informed Projected Neural Networks for High-Dimensional\n Parametric Maps Governed by PDEs
   2020/11/30 by Thomas O’Leary-Roseberry, Umberto Villa, O'Leary-Roseberry, Thomas +5 · 6 citations
   Physics and Astronomy · Decision Sciences · #Model Reduction and Neural Networks #Probabilistic and Robust Engineering Design
3. hIPPYlib: An Extensible Software Framework for Large-Scale Inverse\n Problems Governed by PDEs; Part I: Deterministic Inversion and Linearized\n Bayesian Inference
   2019/09/09 by Umberto Villa, Noémi Petra, Villa, Umberto +3 · 2 citations
   Computer Science · Mathematics · #Gaussian Processes and Bayesian Inference #Statistical and numerical algorithms #Advanced Multi-Objective Optimization Algorithms
4. hIPPYlib-MUQ: A Bayesian Inference Software Framework for Integration of Data with Complex Predictive Models under Uncertainty
   2021/12/01 by Kim, Ki-Tae, Villa, Umberto, Parno, Matthew +3 · 2 citations
   #35Q62 #35Q93 #35R30 #49M15 #62F15 #65C99 #65K10 #68N99 #Computation (stat.CO) #FOS: Computer and information sciences #FOS: Mathematics #Mathematical Software (cs.MS) #Numerical Analysis (math.NA) #Optimization and Control (math.OC)
5. Bayesian Inference of Tissue Heterogeneity for Individualized Prediction of Glioma Growth
   2022/09/24 by Liang, Baoshan, Tan, Jingye, Lozenski, Luke +4 · 1 citation
   #Computational Engineering #FOS: Computer and information sciences #Finance #and Science (cs.CE)
6. Democratizing Uncertainty Quantification
   2024/02/21 by Linus Seelinger, Anne Reinarz, Seelinger, Linus +45 · 1 citation
   Decision Sciences · #Applications (stat.AP) #Complex Systems and Decision Making #FOS: Computer and information sciences #Mathematical Software (cs.MS)
7. Learned Full Waveform Inversion Incorporating Task Information for Ultrasound Computed Tomography
   2023/08/30 by Lozenski, Luke, Wang, Hanchen, Li, Fu +4 · 1 citation
   #FOS: Electrical engineering #FOS: Physical sciences #Image and Video Processing (eess.IV) #Medical Physics (physics.med-ph) #electronic engineering #information engineering
8. Benchmarking Diffusion Annealing-Based Bayesian Inverse Problem Solvers
   2025/03/04 by Crafts, Evan Scope, Villa, Umberto · 2 citations
   #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Optimization and Control (math.OC) #Probability (math.PR)
9. Spatiotemporal Image Reconstruction to Enable High-Frame Rate Dynamic Photoacoustic Tomography with Rotating-Gantry Volumetric Imagers
   2023/10/01 by Refik Mert Çam, Cam, Refik M., Chao Wang +9 · 1 citation
   Engineering · Environmental Science · #Air Quality Monitoring and Forecasting #Atmospheric and Environmental Gas Dynamics #FOS: Electrical engineering #FOS: Physical sciences #Image and Video Processing (eess.IV) #Medical Physics (physics.med-ph) #Photoacoustic and Ultrasonic Imaging #Signal Processing (eess.SP) #electronic engineering #information engineering
10. Predictive Digital Twins with Quantified Uncertainty for Patient-Specific Decision Making in Oncology
    2025/05/13 by Pash, Graham, Villa, Umberto, Hormuth, David A. +2 · 2 citations
    #Computational Engineering #Computational Physics (physics.comp-ph) #FOS: Computer and information sciences #FOS: Physical sciences #Finance #Medical Physics (physics.med-ph) #and Science (cs.CE)