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20212026
most citedTraining neural operators to preserve invariant measures of chaotic attractors

4 citations · 10 across the 14 of their papers we have counts for

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9 papers · 1 filter

cs.LG2026

Same Target, Different Origins: Aligning Latent Rollout for Consistent PDE Emulation

Xinying Li, Jing Xu, Wenjun Wang +4

Neural PDE solvers commonly generate multi-step predictions through autoregressive rollout, recursively applying a learned evolution operator and feeding each prediction back as in…

cs.LG2026

Nested Spatio-Temporal Time Series Forecasting

Yinghao Ai, Yukai Zhou, Ruoxi Jiang +8

Spatiotemporal forecasting is critical for real-world applications like traffic management, yet capturing reliable interactions remains challenging under noisy and non-stationary c…

cs.LG2026

Project and Generate: Divergence-Free Neural Operators for Incompressible Flows

Xigui Li, Hongwei Zhang, Ruoxi Jiang +6

Learning-based models for fluid dynamics often operate in unconstrained function spaces, leading to physically inadmissible, unstable simulations. While penalty-based methods offer…

cs.LG2026

Accelerating PDE Surrogates via RL-Guided Mesh Optimization

Yang Meng, Ruoxi Jiang, Zhuokai Zhao +3

Deep surrogate models for parametric partial differential equations (PDEs) can deliver high-fidelity approximations but remain prohibitively data-hungry: training often requires th…

cs.LG2025

Hierarchical Implicit Neural Emulators

Ruoxi Jiang, Xiao Zhang, Karan Jakhar +4

Neural PDE solvers offer a powerful tool for modeling complex dynamical systems, but often struggle with error accumulation over long time horizons and maintaining stability and ph…

cs.LG2024

Embed and Emulate: Contrastive representations for simulation-based inference

Ruoxi Jiang, Peter Y. Lu, Rebecca Willett

Scientific modeling and engineering applications rely heavily on parameter estimation methods to fit physical models and calibrate numerical simulations using real-world measuremen…

cs.LG2023★ 4 cited

Training neural operators to preserve invariant measures of chaotic attractors

Ruoxi Jiang, Peter Y. Lu, Elena Orlova +1

Chaotic systems make long-horizon forecasts difficult because small perturbations in initial conditions cause trajectories to diverge at an exponential rate. In this setting, neura…

cs.LG2023

Deep Stochastic Mechanics

Elena Orlova, Aleksei Ustimenko, Ruoxi Jiang +2

This paper introduces a novel deep-learning-based approach for numerical simulation of a time-evolving Schrödinger equation inspired by stochastic mechanics and generative diffusio…

cs.LG2022★ 1 cited

Embed and Emulate: Learning to estimate parameters of dynamical systems with uncertainty quantification

Ruoxi Jiang, Rebecca Willett

This paper explores learning emulators for parameter estimation with uncertainty estimation of high-dimensional dynamical systems. We assume access to a computationally complex sim…