Vignesh Gopakumar
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Research


Few selected publications are given below. You can find the latest list of publications in my Google Scholar page.

2026
Learning Physical Operators using Neural Operators
Vignesh Gopakumar, Ander Gray, Daniel Giles, Lorenzo Zanisi, Matt J. Kusner, Timo Betcke, Stanislas Pamela, Marc Peter Deisenroth — AISTATS, 2026
OpsSplit introduces a physics-informed machine learning framework that decomposes partial differential equations into fixed linear approximations and learned non-linear neural operators within a Neural ODE, delivering superior generalization to unseen physics, parameter efficiency, and interpretability.

Paper Code

2025
Calibrated Physics-Informed Uncertainty Quantification
Vignesh Gopakumar, Ander Gray, Lorenzo Zanisi, Timothy Nunn, Daniel Giles, Matt J. Kusner, Stanislas Pamela, Marc Peter Deisenroth — ICML, 2025
Calibrated uncertainty quantification of neural PDE solvers using physics residual errors as non-conformity scores for data-free conformal prediction.

Paper Code

2024
Uncertainty Quantification of Surrogate Models using Conformal Prediction
Vignesh Gopakumar, Ander Gray, Joel Oskarsson, Lorenzo Zanisi, Daniel Giles, Matt J. Kusner, Stanislas Pamela, Marc Peter Deisenroth — IOP MLST, 2024
Guaranteed and valid error bars across spatio-temporal domains using conformal prediction.

Paper Code

Valid Error Bars for Neural Weather Models using Conformal Prediction
Vignesh Gopakumar, Ander Gray, Joel Oskarsson, Lorenzo Zanisi, Stanislas Pamela, Daniel Giles, Matt J. Kusner, Marc Peter Deisenroth — ICML Workshop: Machine Learning for Earth System Modeling: Accelerating Pathways to Impact, 2024
Marginal conformal prediction as a method of guaranteed error bars across neural weather models.

Paper Code

Plasma Surrogate Modelling using Fourier Neural Operators
Vignesh Gopakumar, Stanislas Pamela, Lorenzo Zanisi, Zongyi Li, Ander Gray, Daniel Brennand, Nitesh Bhatia, Gregory Stathopoulos, Matt Kusner, Marc Peter Deisenroth, Anima Anandkumar, JOREK Team, MAST Team — Nuclear Fusion, Volume 64, Number 5, 2024
Multi-variable FNO designed to model the plasma evolution within a Tokamak across both simulations and experiment on the MAST Tokamak.

Paper Code

2023
Fourier-RNNs for Modelling Noisy Physics Data
Vignesh Gopakumar, Lorenzo Zanisi, Stanislas Pamela — IEEE-ICMLA, 2023
Recurrent Fourier neural operators with hidden state representations for non-Markovian physical modelling.

Paper

Loss Landscape Engineering via Data Regulation on PINNs
Vignesh Gopakumar, Stanislas Pamela, Debasmita Samaddar — Machine Learning with Applications, Volume 12, 2023
Impact Data-Regulation has on smoothening the loss landscape of physics-informed neural networks for better convergence.

Paper Code

2022
Image Mapping the Temporal Evolution of Edge Characteristics in Tokamaks using Neural Networks
Vignesh Gopakumar, Debasmita Samaddar — Machine Learning: Science and Technology, Volume 1, Number 1, 2020
Branched fully convolutional network designed to emulate the plasma at the scrape-off layer with coupled plasma and neutral behaviour.

Paper

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