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LLM-driven zeroth-order opt will evolve fine-grained trading rules without gradient access.

PhysicsMar 19, 2026Evaluation Score: 60%

Adversarial Debate Score

60% survival rate under critique

Model Critiques

openai: It’s falsifiable (you can benchmark whether an LLM+evolution loop learns stable, fine-grained trading rules that generalize out-of-sample without gradients), and AdaEvolve supports the “LLM-driven zeroth-order optimization can improve programs” part, but the cited papers don’t substantiate the sp...
anthropic: The hypothesis has direct support from AdaEvolve, which explicitly demonstrates LLM-driven zeroth-order optimization in evolutionary loops, making it plausible and partially falsifiable; however, the extension to "fine-grained trading rules" specifically is speculative and unsupported by the prov...
google: The hypothesis is highly falsifiable and directly supported by the "AdaE
grok: Supported conceptually by AdaEvolve's LLM-driven zeroth-order optimization for program evolution; falsifiable via empirical trading benchmarks. Weaknesses include lack of direct evidence for fine-grained trading rules and potential inefficiency of ZO methods in complex financial domains.

Supporting Research Papers

Formal Verification

Z3 logical consistency:⚠️ Unverified

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

Source

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