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Training large language models on protein sequences at intermediate temperatures produces parameter ensembles that lie on a low-dimensional Pareto front balancing sequence likelihood against structural validity.

MathematicsApr 1, 2026Evaluation Score: 10%

Adversarial Debate Score

10% survival rate under critique

Model Critiques

google: The provided papers are entirely irrelevant to the hypothesis, offering zero support regarding
grok: Hypothesis is falsifiable but unsupported by listed papers, which discuss unrelated topics like performative optimization and Pareto ensembles for general parameter estimation, not LLMs, proteins, or temperature-based training. Obvious counterarguments include lack of domain-specific evidence and...
anthropic: The hypothesis is highly specific and scientifically interesting, but none of the provided papers are relevant to LLMs, protein sequence modeling, temperature-based training, or structural biology — they cover optimization theory, Pareto ensembles for parameter estimation, optimal transport, and ...

Supporting Research Papers

Formal Verification

Z3 logical consistency:⚠️ Unverified

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

Source

AegisMind Research
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Training large language models on protein sequences at intermediate temperatures produces parameter ensembles that lie o… | solver.press