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20212026
most citedAccelerated replica exchange stochastic gradient Langevin diffusion enhanced Bayesian DeepONet for solving noisy parametric PDEs

14 citations · 42 across the 25 of their papers we have counts for

collaborators

26 papers

cs.AI2026

Verifier Errors in RLVR: Reward Hacking, Limits of Feedback, and Selective Control

Christian Moya, Elliott Thornley, Guang Lin

In reinforcement learning with verifiable rewards (RLVR), imperfect verifiers can reward incorrect responses, creating opportunities for reward hacking. Using gradient flow with a…

cs.LG2026

A Unified Mamba--MoE Surrogate for Closed-Loop Simulation and Measurement-Window Forecasting of Inverter Transients

Haoguang Wang, Huy Hoang Le, Akhila Kandivalasa +3

This paper proposes a Mamba surrogate model with mixture-of-experts (MoE) routing to represent the transient dynamics of inverter-based resources. A Mamba surrogate model is a pred…

cs.LG2026

Spurious Correlation Learning in Preference Optimization: Mechanisms, Consequences, and Mitigation via Tie Training

Christian Moya, Alex Semendinger, Guang Lin +1

Preference learning methods like Direct Preference Optimization (DPO) are known to induce reliance on spurious correlations, leading to sycophancy and length bias in today's langua…

math.NA2026

fPINN-DeepONet: A Physics-Informed Operator Learning Framework for Multi-term Time-fractional Mixed Diffusion-wave Equations

Binghang Lu, Zhaopeng Hao, Christian Moya +1

In this paper, we develop a physics-informed deep operator learning framework for solving multi-term time-fractional mixed diffusion-wave equations (TFMDWEs). We begin by deriving…

cs.LG2026

Conformalized Quantum DeepONet Ensembles: Towards Scalable Operator Learning with Distribution-Free Guarantees

Purav Matlia, Christian Moya, Guang Lin

Operator learning enables fast surrogate modelling of high-dimensional dynamical systems, but existing approaches face two fundamental limitations: the quadratic cost of dense neur…

cs.LG2026

Physics-Guided Dimension Reduction for Simulation-Free Operator Learning of Stiff Differential-Algebraic Systems

Huy Hoang Le, Haoguang Wang, Christian Moya +2

Neural surrogates for stiff differential-algebraic equations (DAEs) face two barriers: soft-constraint methods leave algebraic residuals that stiffness amplifies into errors, and h…

cs.LG2026

Jeffreys Flow: Robust Boltzmann Generators for Rare Event Sampling via Parallel Tempering Distillation

Guang Lin, Christian Moya, Di Qi +1

Sampling physical systems with rough energy landscapes is hindered by rare events and metastable trapping. While Boltzmann generators already offer a solution, their reliance on th…

cs.LG2026

pADAM: A Plug-and-Play All-in-One Diffusion Architecture for Multi-Physics Learning

Amirhossein Mollaali, Bongseok Kim, Christian Moya +1

Generalizing across disparate physical laws remains a fundamental challenge for artificial intelligence in science. Existing deep-learning solvers are largely confined to single-eq…

cs.AI2025

Linear Spatial World Models Emerge in Large Language Models

Matthieu Tehenan, Christian Bolivar Moya, Tenghai Long +1

Large language models (LLMs) have demonstrated emergent abilities across diverse tasks, raising the question of whether they acquire internal world models. In this work, we investi…

cs.LG2024

DeepONet as a Multi-Operator Extrapolation Model: Distributed Pretraining with Physics-Informed Fine-Tuning

Zecheng Zhang, Christian Moya, Lu Lu +2

We propose a novel fine-tuning method to achieve multi-operator learning through training a distributed neural operator with diverse function data and then zero-shot fine-tuning th…

cs.LG2024

An Energy-Based Self-Adaptive Learning Rate for Stochastic Gradient Descent: Enhancing Unconstrained Optimization with VAV method

Jiahao Zhang, Christian Moya, Guang Lin

Optimizing the learning rate remains a critical challenge in machine learning, essential for achieving model stability and efficient convergence. The Vector Auxiliary Variable (VAV…

cs.LG2024

Conformalized Prediction of Post-Fault Voltage Trajectories Using Pre-trained and Finetuned Attention-Driven Neural Operators

Amirhossein Mollaali, Gabriel Zufferey, Gonzalo Constante-Flores +4

This paper proposes a new data-driven methodology for predicting intervals of post-fault voltage trajectories in power systems. We begin by introducing the Quantile Attention-Fouri…

cs.LG2024★ 2 cited

Conformalized-DeepONet: A Distribution-Free Framework for Uncertainty Quantification in Deep Operator Networks

Christian Moya, Amirhossein Mollaali, Zecheng Zhang +2

In this paper, we adopt conformal prediction, a distribution-free uncertainty quantification (UQ) framework, to obtain confidence prediction intervals with coverage guarantees for…

stat.ML2024★ 3 cited

Accelerating Approximate Thompson Sampling with Underdamped Langevin Monte Carlo

Haoyang Zheng, Wei Deng, Christian Moya +1

Approximate Thompson sampling with Langevin Monte Carlo broadens its reach from Gaussian posterior sampling to encompass more general smooth posteriors. However, it still encounter…

cs.LG2023

B-LSTM-MIONet: Bayesian LSTM-based Neural Operators for Learning the Response of Complex Dynamical Systems to Length-Variant Multiple Input Functions

Zhihao Kong, Amirhossein Mollaali, Christian Moya +2

Deep Operator Network (DeepONet) is a neural network framework for learning nonlinear operators such as those from ordinary differential equations (ODEs) describing complex systems…

cs.LG2023

A Physics-Guided Bi-Fidelity Fourier-Featured Operator Learning Framework for Predicting Time Evolution of Drag and Lift Coefficients

Amirhossein Mollaali, Izzet Sahin, Iqrar Raza +3

In the pursuit of accurate experimental and computational data while minimizing effort, there is a constant need for high-fidelity results. However, achieving such results often re…

math.NA2023

D2NO: Efficient Handling of Heterogeneous Input Function Spaces with Distributed Deep Neural Operators

Zecheng Zhang, Christian Moya, Lu Lu +2

Neural operators have been applied in various scientific fields, such as solving parametric partial differential equations, dynamical systems with control, and inverse problems. Ho…

math.NA2023

Bayesian deep operator learning for homogenized to fine-scale maps for multiscale PDE

Zecheng Zhang, Christian Moya, Wing Tat Leung +2

We present a new framework for computing fine-scale solutions of multiscale Partial Differential Equations (PDEs) using operator learning tools. Obtaining fine-scale solutions of m…

physics.flu-dyn2023★ 2 cited

Deep Operator Learning-based Surrogate Models with Uncertainty Quantification for Optimizing Internal Cooling Channel Rib Profiles

Izzet Sahin, Christian Moya, Amirhossein Mollaali +2

This paper designs surrogate models with uncertainty quantification capabilities to improve the thermal performance of rib-turbulated internal cooling channels effectively. To cons…

cs.LG2023

NSGA-PINN: A Multi-Objective Optimization Method for Physics-Informed Neural Network Training

Binghang Lu, Christian B. Moya, Guang Lin

This paper presents NSGA-PINN, a multi-objective optimization framework for effective training of Physics-Informed Neural Networks (PINNs). The proposed framework uses the Non-domi…

cs.LG2023★ 6 cited

On Approximating the Dynamic Response of Synchronous Generators via Operator Learning: A Step Towards Building Deep Operator-based Power Grid Simulators

Christian Moya, Amirhossein Mollaali, Guang Lin +1

This paper develops an Operator Learning framework for approximating the dynamic response of synchronous generators. The framework can be used to (i) build a neural network-based g…

cs.LG2022★ 2 cited

DeepGraphONet: A Deep Graph Operator Network to Learn and Zero-shot Transfer the Dynamic Response of Networked Systems

Yixuan Sun, Christian Moya, Guang Lin +1

This paper develops a Deep Graph Operator Network (DeepGraphONet) framework that learns to approximate the dynamics of a complex system (e.g. the power grid or traffic) with an und…

math.DS2022★ 6 cited

On Learning the Dynamical Response of Nonlinear Control Systems with Deep Operator Networks

Guang Lin, Christian Moya, Zecheng Zhang

We propose a Deep Operator Network~(DeepONet) framework to learn the dynamic response of continuous-time nonlinear control systems from data. To this end, we first construct and tr…

math.NA2022★ 6 cited

DeepONet-Grid-UQ: A Trustworthy Deep Operator Framework for Predicting the Power Grid's Post-Fault Trajectories

Christian Moya, Shiqi Zhang, Meng Yue +1

This paper proposes a new data-driven method for the reliable prediction of power system post-fault trajectories. The proposed method is based on the fundamentally new concept of D…