35 lines
1.0 KiB
Markdown
35 lines
1.0 KiB
Markdown
---
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title: "Multi-Solution Recovery（多解恢复）"
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created: 2026-05-23
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updated: 2026-05-23
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type: concept
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tags: [reasoning, multi-solution, constraint-satisfaction]
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sources: [raw/papers/gram-generative-recursive-reasoning-2026.md]
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confidence: medium
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---
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# Multi-Solution Recovery
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> 给定一个约束满足问题，能够恢复**所有**（而非仅一个）有效解的能力。这是 GRAM 确定性 -> 随机性转变的核心收益之一。
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## 传统 RRM 的局限
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确定性的 [[recursive-reasoning-models|RRM]] 在约束满足问题上只能返回**一个解**——它们收敛到单一预测，无法表达解集的不确定性。
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## GRAM 的多解恢复
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- 从 [[stochastic-latent-trajectory]] 分布中采样 K 条轨迹
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- 不同轨迹自然收敛到不同有效解
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- 覆盖率随 K 增长
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## 评测任务
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- N-Queens：8 皇后问题有 92 个解
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- Graph Coloring：多种有效着色方案
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## 相关概念
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- [[multi-trajectory-inference]]
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- [[inference-time-scaling]]
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- [[gram-generative-recursive-reasoning-paper|GRAM 论文]]
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