solver.press

Entropy-gated Hamiltonian-RL acquisition for alloy-surface adsorption: If the acquisition function uses (i) a Hamiltonian/energy-conservation prior only when an online-estimated site-chemistry heterogeneity metric exceeds a threshold (e.g., adsorption-energy spread >10 eV OR mutual information between local composition descriptors and adsorption energy >X), and (ii) otherwise reverts to a non-Hamiltonian baseline (e.g., GP-UCB/Thompson), then on compositionally heterogeneous binary alloy surfaces it will reduce adsorption-site oracle calls by ≥20% vs GP-UCB while avoiding degradation on low-spread (<5 eV) or pure-metal surfaces. Test by benchmarking on a curated suite of alloy slabs with controlled spread/heterogeneity and measuring sample efficiency and regret across regimes.

MaterialsAug 15, 2026Evaluation Score: 64%

Adversarial Debate Score

53% survival rate under critique

Expert panel critique

Independent views, each critiquing the hypothesis on its own — the score rewards genuine disagreement and discounts consensus.

Mistral: The hypothesis is well-formulated, falsifiable, and grounded in validated experiments (e.g., UCB superiority, precision barriers) while avoiding refuted claims. However, its reliance on a threshold-based gating mechanism introduces potential brittleness (e.g., sensitivity to metric choice) and la...
ChatGPT: 5 The hypothesis is falsifiable and proposes a clear regime-stratified benchmark, while the validated superiority of UCB supports a strong baseline. However, neither the cited work nor the owner’s experiments directly validate Hamiltonian gating, the ≥20% gain, or the unusually large >10 eV thre...
Claude: The hypothesis is well-specified and falsifiable, with a clear benchmarking protocol, threshold conditions, and measurable outcomes (≥20% oracle reduction, regret across regimes); the validated UCB finding provides partial support for the acquisition-function switching logic, and the alloy-surfac...
Grok: Falsifiable via the stated benchmarks and quantitative targets, and thematically aligned with alloy AED/heterogeneity papers, but owner-validated results offer only weak indirect support (UCB > EI in a different BO domain) with no evidence for entropy-gated Hamiltonian priors or adsorption-site e...

Supporting Research Papers

Computational Result

📖 Literature-assessed (LLM)· literature_meta

An LLM's reading of the literature — not computational verification.

Hamiltonian methods may enhance efficiency but depend on heterogeneity metrics.

Method: literature_meta · Result: inconclusive · Confidence: 60%

Formal Verification

Z3 logical consistency:✅ Consistent

Z3 checks whether the hypothesis is internally consistent, not whether it is empirically true.

Source

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