Beyond Equation Search: Conjecture-Guided Discovery with SCOPE and ClosureBench

arXiv cs.AIen

arXiv cs.AI

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arXiv:2610.18938v1 Announce Type: new Abstract: Most symbolic regression methods optimize candidate equations, but improving an equation's fit does not establish whether its underlying scientific conjecture should be retained, revised, or rejected. A conjecture may admit multiple mathematical realizations, and similarly accurate equations may imply different explanations. This motivates a shift from refining individual expressions to developing and testing the conjectures that guide them. We introduce SCOPE, a framework that sustains multiple conjecture-driven research trajectories. Multiple scientist agents independently pursue conjectures through equation modeling, question formulation, an

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