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    "story_id": "mp-2026-08-18-007",
    "source_story_id": "tmp-story-helmholtz-analytical-prior",
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    "headline": "The Cheap Physics Model Taught the Surrogate What to Correct",
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    "dek": "Analytical priors cut prediction error for side-branch resonators when only 20 to 70 high-fidelity simulations were available.",
    "summary": "Analytical priors cut prediction error for side-branch resonators when only 20 to 70 high-fidelity simulations were available.",
    "body_text": "The framework either retains the analytical resonator model as a baseline and learns its discrepancy or distills that mapping into a self-contained prior before calibration. Using 86 simulation-labelled geometries and 8,998 analytical-only examples, residual support-vector regression reduced mean absolute error from 1.333 hertz for the analytical model to 0.426 hertz; a fully fine-tuned prior MLP reached 0.371 hertz. These figures describe one rectangular Helmholtz-resonator study, but they quantify how low-cost physics can improve data efficiency.",
    "why_it_matters": "Analytical priors cut prediction error for side-branch resonators when only 20 to 70 high-fidelity simulations were available.",
    "limitations": [
      "Using 86 simulation-labelled geometries and 8,998 analytical-only examples, residual support-vector regression reduced mean absolute error from 1.333 hertz for the analytical model to 0.426 hertz; a fully fine-tuned prior MLP reached 0.371 hertz."
    ],
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    "first_published_at": "2026-08-18T09:00:00.000-04:00",
    "modified_at": "2026-08-18T09:00:00.000-04:00",
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        "text": "Analytical priors cut prediction error for side-branch resonators when only 20 to 70 high-fidelity simulations were available.",
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        "qualification": "Using 86 simulation-labelled geometries and 8,998 analytical-only examples, residual support-vector regression reduced mean absolute error from 1.333 hertz for the analytical model to 0.426 hertz; a fully fine-tuned prior MLP reached 0.371 hertz."
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    "source_ids": [
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    "tags": [
      "surrogate modeling",
      "acoustics",
      "analytical priors",
      "simulation"
    ],
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  "sources": [
    {
      "source_id": "source-2026-08-18-007",
      "title": "arXiv preprint 2608.16873",
      "publisher": "arXiv",
      "url": "https://arxiv.org/abs/2608.16873",
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      "source_type": "primary_research",
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      "published_at": "2026-08-16T20:00:00.000-04:00",
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  "publisher": {
    "name": "The Machine Press",
    "url": "https://themachinepress.com",
    "description": "A daily newspaper for the age of artificial intelligence."
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  "cite_this_report": {
    "title": "The Cheap Physics Model Taught the Surrogate What to Correct",
    "publisher": "The Machine Press",
    "published_at": "2026-08-18T09:00:00.000-04:00",
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