alphaXiv(@askalphaxiv):“MindTopo: Can Foundation Models Reason in Topological Space?” Current models can recognize topological structure, but struggle to preserve it through sequential actions. And MindTopo exposes this reasoning–planning gap across 11K procedurally generated examples. They found that even image and video world models often reach plausible endpoints through topologically invalid trajectories.

2026.09.14 21:22

“MindTopo: Can Foundation Models Reason in Topological Space?” Current models can recognize topological structure, but struggle to preserve it through sequential actions. And MindTopo exposes this reasoning–planning gap across 11K procedurally generated examples. They found that even image and video world models often reach plausible endpoints through topologically invalid trajectories.

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