Publications (32)
Nested domain decomposition with polarized traces for the 2D Helmholtz equation
Leonardo Zepeda-Núñez, Laurent Demanet
Learning to correct spectral methods for simulating turbulent flows
Gideon Dresdner, Dmitrii Kochkov, Peter Norgaard +4
Evolve Smoothly, Fit Consistently: Learning Smooth Latent Dynamics For Advection-Dominated Systems
Zhong Yi Wan, Leonardo Zepeda-Núñez, Anudhyan Boral +1
Dynamical-generative downscaling of climate model ensembles
Ignacio Lopez-Gomez, Zhong Yi Wan, Leonardo Zepeda-Núñez +3
Wide-band butterfly network: stable and efficient inversion via multi-frequency neural networks
Matthew Li, Laurent Demanet, Leonardo Zepeda-Núñez
Rational-WENO: A lightweight, physically-consistent three-point weighted essentially non-oscillatory scheme
Shantanu Shahane, Sheide Chammas, Deniz A. Bezgin +8
Deep Density: circumventing the Kohn-Sham equations via symmetry preserving neural networks
Leonardo Zepeda-Núñez, Yixiao Chen, Jiefu Zhang +3
User-defined Event Sampling and Uncertainty Quantification in Diffusion Models for Physical Dynamical Systems
Marc Finzi, Anudhyan Boral, Andrew Gordon Wilson +2
Learning the mapping $\mathbf{x}\mapsto \sum_{i=1}^d x_i^2$: the cost of finding the needle in a haystack
Jiefu Zhang, Leonardo Zepeda-Núñez, Yuan Yao +1
Neural Ideal Large Eddy Simulation: Modeling Turbulence with Neural Stochastic Differential Equations
Anudhyan Boral, Zhong Yi Wan, Leonardo Zepeda-Núñez +5
A short note on the nested-sweep polarized traces method for the 2D Helmholtz equation
Leonardo Zepeda-Núñez, Laurent Demanet
A hybrid approach to solve the high-frequency Helmholtz equation with source singularity in smooth heterogeneous media
Jun Fang, Jianliang Qian, Leonardo Zepeda-Núñez +1
Efficient hybridization fitting for dynamical mean-field theory via semi-definite relaxation
Carlos Mejuto-Zaera, Leonardo Zepeda-Núñez, Michael Lindsey +3
Generative AI for fast and accurate statistical computation of fluids
Roberto Molinaro, Samuel Lanthaler, Bogdan RaoniÄ +9
A probabilistic framework for learning non-intrusive corrections to long-time climate simulations from short-time training data
Benedikt Barthel Sorensen, Leonardo Zepeda-Núñez, Ignacio Lopez-Gomez +4
L-Sweeps: A scalable, parallel preconditioner for the high-frequency Helmholtz equation
Matthias Taus, Leonardo Zepeda-Núñez, Russell J Hewett +1
Accurate and Robust Deep Learning Framework for Solving Wave-Based Inverse Problems in the Super-Resolution Regime
Matthew Li, Laurent Demanet, Leonardo Zepeda-Núñez
Kinetic Optimization of Magnetic Mirror Confinement: Beyond Classical Loss-Cone Theory
Lukas Einkemmer, Martin Guerra, Qin Li +1
The paper formulates magnetic mirror design as a PDE‑constrained optimization problem using a reduced multispecies drift‑kinetic‑Poisson model and shows that self‑consistent electr…
Efficient Long-Range Convolutions for Point Clouds
Yifan Peng, Lin Lin, Lexing Ying +1
The method of polarized traces for the 2D Helmholtz equation
Leonardo Zepeda-Núñez, Laurent Demanet
What metric to optimize for suppressing instability in a Vlasov-Poisson system?
Martin Guerra, Qin Li, Yukun Yue +1
The method of polarized traces for the 3D Helmholtz equation
Leonardo Zepeda-Núñez, Adrien Scheuer, Russell J. Hewett +1
Solving the Wide-band Inverse Scattering Problem via Equivariant Neural Networks
Borong Zhang, Leonardo Zepeda-Núñez, Qin Li
DySLIM: Dynamics Stable Learning by Invariant Measure for Chaotic Systems
Yair Schiff, Zhong Yi Wan, Jeffrey B. Parker +4
Back-Projection Diffusion: Solving the Wideband Inverse Scattering Problem with Diffusion Models
Borong Zhang, MartÃn Guerra, Qin Li +1
Bridging and Improving Theoretical and Computational Electric Impedance Tomography via Data Completion
Tan Bui-Thanh, Qin Li, Leonardo Zepeda-Núñez
High-frequency limit of the inverse scattering problem: asymptotic convergence from inverse Helmholtz to inverse Liouville
Shi Chen, Zhiyan Ding, Qin Li +1
Debias Coarsely, Sample Conditionally: Statistical Downscaling through Optimal Transport and Probabilistic Diffusion Models
Zhong Yi Wan, Ricardo Baptista, Yi-fan Chen +4
Learning Dominant Wave Directions For Plane Wave Methods For High-Frequency Helmholtz Equations
Jun Fang, Jianliang Qian, Leonardo Zepeda-Núñez +1
Projection based embedding theory for solving Kohn-Sham density functional theory
Lin Lin, Leonardo Zepeda-Núñez
Fast alternating bi-directional preconditioner for the 2D high-frequency Lippmann-Schwinger equation
Leonardo Zepeda-Núñez, Hongkai Zhao
Regional climate risk assessment from climate models using probabilistic machine learning
Zhong Yi Wan, Ignacio Lopez-Gomez, Robert Carver +4