activity
20232026
most citedToward Efficient Kernel-Based Solvers for Nonlinear PDEs

2 citations · 5 across the 9 of their papers we have counts for

collaborators

9 papers

cs.LG2026

Dual-Agent Co-Training for Health Coaching via Implicit Adversarial Preference Optimization

Da Long, Lingyi Fu, Diya Michelle Rao +3

Motivational-interviewing-based health coaching is an effective approach for improving mental health and promoting healthy behavior change. However, the scarcity of trained human c…

cs.LG2025

Deep Gaussian Processes for Functional Maps

Matthew Lowery, Zhitong Xu, Da Long +5

Learning mappings between functional spaces, also known as function-on-function regression, is a fundamental problem in functional data analysis with broad applications, including…

cs.LG2025

StFT: Spatio-temporal Fourier Transformer for Long-term Dynamics Prediction

Da Long, Shandian Zhe, Samuel Williams +2

Simulating the long-term dynamics of multi-scale and multi-physics systems poses a significant challenge in understanding complex phenomena across science and engineering. The comp…

cs.LG2025

Pseudo-Physics-Informed Neural Operators: Enhancing Operator Learning from Limited Data

Keyan Chen, Yile Li, Da Long +4

Neural operators have shown great potential in surrogate modeling. However, training a well-performing neural operator typically requires a substantial amount of data, which can po…

cs.LG2024

Arbitrarily-Conditioned Multi-Functional Diffusion for Multi-Physics Emulation

Da Long, Zhitong Xu, Guang Yang +2

Modern physics simulation often involves multiple functions of interests, and traditional numerical approaches are known to be complex and computationally costly. While machine lea…

cs.LG2024★ 2 cited

Toward Efficient Kernel-Based Solvers for Nonlinear PDEs

Zhitong Xu, Da Long, Yiming Xu +3

We introduce a novel kernel learning framework toward efficiently solving nonlinear partial differential equations (PDEs). In contrast to the state-of-the-art kernel solver that em…

cs.LG2024★ 1 cited

Invertible Fourier Neural Operators for Tackling Both Forward and Inverse Problems

Da Long, Zhitong Xu, Qiwei Yuan +2

Fourier Neural Operator (FNO) is a powerful and popular operator learning method. However, FNO is mainly used in forward prediction, yet a great many applications rely on solving i…

cs.LG2023★ 1 cited

Solving High Frequency and Multi-Scale PDEs with Gaussian Processes

Shikai Fang, Madison Cooley, Da Long +3

Machine learning based solvers have garnered much attention in physical simulation and scientific computing, with a prominent example, physics-informed neural networks (PINNs). How…

cs.LG2023★ 1 cited

Equation Discovery with Bayesian Spike-and-Slab Priors and Efficient Kernels

Da Long, Wei W. Xing, Aditi S. Krishnapriyan +3

Discovering governing equations from data is important to many scientific and engineering applications. Despite promising successes, existing methods are still challenged by data s…