Instrumented data for causal scientific machine learning
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Abstract (arXiv)
Scientific machine learning is limited less by model size than by the data it is trained on. Observational data records what happened but not why; template synthetic data has a known generating process but only for the simulator's template, not the case a user faces. We argue a third option is now operationally feasible: instrumented data, in which every datum carries the mechanistic model that produced it, an explicit uncertainty over that model, and an executable family of counterfactuals. Verification-and-validation (V&V) instrumented image-to-simulation pipelines are one realisation: a sensor observation becomes a fully specified, solver-backed simulation with explicit, editable parameters and a propagated aleatoric/epistemic uncertainty. The substrate is case-specific, mechanistically supervised, and supports causal interventions through Pearl's do-operator. Near-term consequences for validation, auditing, and surrogate training span computational biology, climate, materials, fluid mechanics, and medical imaging; a longer-term, falsifiable implication concerns foundation models for scientific reasoning.
Key facts. No citing papers in the map yet (data through 14 Oct 2026). Builds on 11 of its 33 references that are in the map. First posted on arXiv 5 Jun 2026.
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References · 11
- 2022Training Compute-Optimal Large Language Modelscited by 3,019
- 2020Fourier Neural Operator for Parametric Partial Differential Equationscited by 2,908
- 2018World Modelscited by 1,513
- 2018Datasheets for Datasetscited by 1,386
- 2023Mastering Diverse Domains through World Modelscited by 1,253
- 2020Learning to Simulate Complex Physics with Graph Networkscited by 880
- 2020Learning Mesh-Based Simulation with Graph Networkscited by 868
- 2023DataComp: In search of the next generation of multimodal datasetscited by 644
- 2019Learning the Difference that Makes a Difference with Counterfactually-Augmented Datacited by 439
- 2023CLadder: Assessing Causal Reasoning in Language Modelscited by 107
- 2026From Perception to Autonomous Computational Modeling: A Multi-Agent Approachcited by 4
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