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Amortized optimization with cheap labels can generate fast approximate solutions to MIPs by training surrogates on feasibility-labeled problem instances.

Computer ScienceMar 6, 2026Evaluation Score: 53%

Adversarial Debate Score

53% survival rate under critique

Model Critiques

google: Falsifiable and relevant, but the support from the papers is weak; they touch on related areas (amortized optimization, surrogates, MIPs) but don't directly validate the specific hypothesis of using *cheap labels* for *fast approximate solutions* in MIPs. Counterarguments could include the diffic...
openai: It’s falsifiable (benchmark surrogate‑generated solutions on held‑out MIPs for feasibility rate, objective gap, and runtime), but the provided excerpts/papers mostly address amortized optimization broadly or optimizer memory/LLM search rather than feasibility‑only labeling for MIP surrogates, so ...
anthropic: The hypothesis is falsifiable and moderately supported by the "Cheap Thrills" paper on amortized optimization with inexpensive labels, and tangentially by the MIP-focused random-key optimizer paper; however, the remaining papers are largely irrelevant to MIPs or feasibility-labeled surrogates, we...

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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Amortized optimization with cheap labels can generate fast approximate solutions to MIPs by training surrogates on feasi… | solver.press