The Seismic Wavefield Common Task Framework
Not on the map. Why?
Abstract (arXiv)
Seismology faces fundamental challenges in state forecasting and reconstruction (e.g., earthquake early warning and ground motion prediction) and managing the parametric variability of source locations, mechanisms, and Earth models (e.g., subsurface structure and topography effects). Addressing these with simulations is hindered by their massive scale, both in synthetic data volumes and numerical complexity, while real-data efforts are constrained by models that inadequately reflect the Earth's complexity and by sparse sensor measurements from the field. Recent machine learning (ML) efforts offer promise, but progress is obscured by a lack of proper characterization, fair reporting, and rigorous comparisons. To address this, we introduce a Common Task Framework (CTF) for ML for seismic wavefields, demonstrated here on three distinct wavefield datasets. Our CTF features a curated set of datasets at various scales (global, crustal, and local) and task-specific metrics spanning forecasting, reconstruction, and generalization under realistic constraints such as noise and limited data. Inspired by CTFs in fields like natural language processing, this framework provides a structured and rigorous foundation for head-to-head algorithm evaluation. We evaluate various methods for reconstructing seismic wavefields from sparse sensor measurements, with results illustrating the CTF's utility in revealing strengths, limitations, and suitability for specific problem classes. Our vision is to replace ad hoc comparisons with standardized evaluations on hidden test sets, raising the bar for rigor and reproducibility in scientific ML.
Key facts. Cited by 5 papers in the map (data through 7 Oct 2026). Builds on 36 of its 96 references that are in the map. First posted on arXiv 22 Dec 2025.
Builds on
36 of 96 references.
References · 36
- 2021Training Verifiers to Solve Math Word Problemscited by 9,743
- 2021Evaluating Large Language Models Trained on Codecited by 8,053
- 2021Measuring Mathematical Problem Solving With the MATH Datasetcited by 5,203
- 2018Neural Ordinary Differential Equationscited by 3,733
- 2020Fourier Neural Operator for Parametric Partial Differential Equationscited by 2,806
- 2019DeepONet: Learning nonlinear operators for identifying differential equations based on the universal approximation theorem of operatorscited by 1,965
- 2024Chronos: Learning the Language of Time Seriescited by 712
- 2024KAN: Kolmogorov-Arnold Networkscited by 634
- 2019DeepXDE: A deep learning library for solving differential equationscited by 617
- 2023Large Language Models Are Zero-Shot Time Series Forecasterscited by 491
- 2018Tune: A Research Platform for Distributed Model Selection and Trainingcited by 395
- 2021Modern Koopman Theory for Dynamical Systemscited by 269
24 more
- 2018A System for Massively Parallel Hyperparameter Tuningcited by 201
- 2025Sundial: A Family of Highly Capable Time Series Foundation Modelscited by 168
- 2021Finite Basis Physics-Informed Neural Networks (FBPINNs): a scalable domain decomposition approach for solving differential equationscited by 142
- 2021Ensemble-SINDy: Robust sparse model discovery in the low-data, high-noise limit, with active learning and controlcited by 134
- 2019Backpropagation Algorithms and Reservoir Computing in Recurrent Neural Networks for the Forecasting of Complex Spatiotemporal Dynamicscited by 132
- 2024Moirai-MoE: Empowering Time Series Foundation Models with Sparse Mixture of Expertscited by 88
- 2024Weak baselines and reporting biases lead to overoptimism in machine learning for fluid-related partial differential equationscited by 87
- 2023Effectively Modeling Time Series with Simple Discrete State Spacescited by 54
- 2023Sequential Deep Operator Networks (S-DeepONet) for Predicting Full-field Solutions Under Time-dependent Loadscited by 47
- 2023Neural Operator Learning for Long-Time Integration in Dynamical Systems with Recurrent Neural Networkscited by 32
- 2021Bagging, optimized dynamic mode decomposition (BOP-DMD) for robust, stable forecasting with spatial and temporal uncertainty-quantificationcited by 30
- 2022A Systematic Exploration of Reservoir Computing for Forecasting Complex Spatiotemporal Dynamicscited by 30
- 2021Fast PDE-constrained optimization via self-supervised operator learningcited by 24
- 2024PyDMD: A Python package for robust dynamic mode decompositioncited by 13
- 2025Panda: A pretrained forecast model for chaotic dynamicscited by 12
- 2025Common Task Framework For a Critical Evaluation of Scientific Machine Learning Algorithmscited by 12
- 2023PyKoopman: A Python Package for Data-Driven Approximation of the Koopman Operatorcited by 10
- 2023Enhancing Continuous Time Series Modelling with a Latent ODE-LSTM Approachcited by 9
- 2023Predictions of Transient Vector Solution Fields with Sequential Deep Operator Networkcited by 9
- 2024Differential Equations for Continuous-Time Deep Learningcited by 7
- 2023Learning Parametric Koopman Decompositions for Prediction and Controlcited by 6
- 2025Accelerating scientific discovery with the common task frameworkcited by 6
- 2024Data-driven local operator finding for reduced-order modelling of plasma systems: II. Application to parametric dynamicscited by 5
- 2025Physics-informed waveform inversion using pretrained wavefield neural operatorscited by 5
Built on by
Citing papers per year: 2026: 5.
5 papers.
- 2026EML Trees Are Universal Approximatorscited by 1
- 2026Adaptive Reservoir Computing for Multi-Scenario Chaotic System Forecastingcited by 0
- 2026Metric-Aware Hybrid Forecasting for the CTF4Science Lorenz Challengecited by 0
- 2026Divide-and-Conquer Modeling for the CTF-4-Science Lorenz Benchmarkcited by 0
- 2026Physics-informed reduced-order modelling with equivariant spectral submanifoldscited by 0
- 2026Physics-informed reduced-order modelling with equivariant spectral submanifolds4 Aug 2026
- 2026EML Trees Are Universal Approximators22 Jun 2026
- 2026Divide-and-Conquer Modeling for the CTF-4-Science Lorenz Benchmark8 Jun 2026
- 2026Metric-Aware Hybrid Forecasting for the CTF4Science Lorenz Challenge2 Jun 2026
- 2026Adaptive Reservoir Computing for Multi-Scenario Chaotic System Forecasting27 May 2026