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Research: Continuous marketing hydrodynamics and Scientific Machine Learning foundations - #9

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research/sciml-marketing-hydrodynamics
Nov 6, 2026
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imMamdouhaboammar merged 1 commit into
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research/sciml-marketing-hydrodynamics

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Summary

Formalizes Scientific Machine Learning (SciML) and continuous hydrodynamic marketing field foundations for the FunnelScript research program, cross-pollinating theoretical mechanisms from Google Research's swirl-dynamics.

Key Deliverables

  • Research Monograph (paper/sciml_marketing_hydrodynamics.md): Complete formal treatise on continuous density fields $\rho(x, t)$, DySLIM ergodic measure preservation (Sinkhorn divergence via OTT-JAX), GenFocal two-stage macro-to-micro downscaling (Rectified Flow debiasing + conditional diffusion), JAX ScanOdeSolver adjoint sensitivity, and WENO-NN shock capturing.
  • Dialectical Ledger (DEBATES.md): Records the tri-scale trade-off between Macro Bayesian MMM, Micro Discrete-Event ABM, and Meso Continuum Marketing Hydrodynamics, establishing 4 falsifiable research hypotheses ($H_{\text{ergodic}}, H_{\text{genfocal}}, H_{\text{fluid}}, H_{\text{weno}}$).
  • Frontier Speculation Ledger (OUT_OF_THE_BOX.md): Records entry OOTB-032 detailing theoretical mapping from fluid mechanics to marketing engineering.
  • Canonical Bibliography (paper/references.bib): Adds 10 peer-reviewed academic references (ICML, ICLR, NeurIPS, Nature Machine Intelligence, JCP).

Verification

  • Local test execution: uv run --no-project --python 3.12 --with pytest pytest -v (63 passed, 154 subtests passed).
  • Documentation link integrity: tests/test_docs_links.py passed.
  • ADR index integrity: tests/test_accepted_decision_index.py passed.
  • Git diff check: git diff --cached --check clean.
  • Anti-slop engineering guard: python3 agents/skills/anti-slop-engineering/scripts/diff_guard.py clean.

…ning foundations

- Add formal research monograph on differentiable hydrodynamics, ergodic measure preservation, and multiscale downscaling (paper/sciml_marketing_hydrodynamics.md).
- Record OOTB-032 frontier speculation in OUT_OF_THE_BOX.md for continuous marketing fields.
- Record dialectical debate and falsifiable hypotheses in DEBATES.md.
- Register canonical SciML and optimal transport literature in paper/references.bib.
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imMamdouhaboammar merged commit 52238df into main Nov 6, 2026
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imMamdouhaboammar deleted the research/sciml-marketing-hydrodynamics branch November 6, 2026 13:47
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