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Simulations & experiments

Each entry below is a scholarly paper we re-implemented locally: equations extracted by an LLM, simulated with an open-source backend (SciPy / SymPy / Mesa / PyBaMM / SimPy / OpenMM / Rebound), and graded for fidelity against the paper's own claims. Where the paper compares an intervention against a baseline, we also ran both arms and report the delta. Cross-field hypotheses below pair papers from distinct fields and propose transferable mechanisms.

18
papers replicated
8
sim succeeded
2
baseline-vs-variant runs
5
distinct simulators used
3
cross-field hypotheses

ODE(3)

Discrete-event (SimPy)(1)

Agent-based(2)

PDE(1)

N-body(1)

Skipped or failed(10)

Papers we couldn't reproduce locally — usually because the method requires data or compute we don't have, or the extractor mapped it to a method class we haven't wired yet.

Cross-field hypotheses(3 kept above threshold)

Pairs of papers from distinct fields where the synthesizer scored both novelty ≥ 0.5 and testability ≥ 0.4. Each entry proposes a specific mechanism transfer and an experiment we could run.

  • building energy systems and controlepidemiology
    Physics-informed machine learning (PIML) priors embedded in compartmental epidemic models

    If we embed domain knowledge about disease transmission mechanisms (e.g., contact rates, incubation periods, recovery kinetics) as physics priors into data-driven SIR variants, we can improve epidemic forecasting accuracy and physical consistency when extrapolating beyond training data. This mirrors how BESTOpt embeds thermodynamic and HVAC physics into neural network modules to improve generalization.

    novelty 0.55testability 0.62business 0.35sim: ode
  • building energy systems and controlsimulation optimization under input uncertainty
    Physics-informed machine learning priors embedded in distributionally robust decision-making

    If we embed physics-based constraints and domain knowledge (from BESTOpt's PIML approach) into the ambiguity set construction and selection procedure of the RSB framework, we can reduce the conservatism of worst-case robust selection while maintaining guarantees under input distribution uncertainty. This would allow the robust selection procedure to exploit structural knowledge about the problem domain to tighten the ambiguity set and improve decision quality.

    novelty 0.55testability 0.62business 0.48sim: discrete-event
  • healthcare operations / appointment schedulingsimulation optimization under input uncertainty
    Heavy-traffic fluid approximation for asymptotic optimization under distributional uncertainty

    If we apply Paper A's heavy-traffic fluid control problem (FCP) framework to Paper B's distributionally robust selection problem, we can derive asymptotically optimal selection policies that are robust to input distribution ambiguity. Specifically, we could formulate the worst-case selection criterion as a fluid-scale deterministic control problem, then solve it via discretized quadratic programming to obtain robust staffing or scheduling decisions.

    novelty 0.62testability 0.68business 0.55sim: discrete-event