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arXiv cs.AI· Luise Ge, Brendan Juba·· 12 小时前AI 评分20

面向提升推理的查询驱动学习

Query-Driven Learning for Lifted Reasoning

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研究将查询驱动学习从命题情形扩展到一阶设定,提出验证或反驳全称查询的充要条件“有界隐藏”(bounded concealment),并给出在一阶提升层面求解该任务的拟多项式时间算法。该算法相对空间有界提升证明具备可靠性与完备性保证,同时具有拟多项式样本与运行时间界,表明即使无限制的知识库学习不可行,提升层面的查询驱动推理仍可高效完成。

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Abstract:Learning and reasoning are both essential to intelligent agents, but have traditionally been treated as two separate stages: first learning a knowledge base from data (or taking one as given), and then verifying queries as if the knowledge base were complete. This separation has been shown to be inefficient when the downstream goal is to verify only a small set of queries. Moreover, it neglects the possibility that data and a knowledge base contain partial yet complementary information, requiring an agent to combine both sources to justify or refute a query. Motivated by the need to integrate learning and reasoning more tightly, we study the problem of query-driven learning for reasoning. More specifically, we extend prior work to the first-order setting, which is critical for practical applications as the number of ground atoms typically grows rapidly. We begin by asking when validating or refuting a universal query given partial data and knowledge base is even possible, and identify a necessary and sufficient condition called bounded concealment. We then propose a quasi-polynomial-time algorithm that solves the task at the lifted level. Finally, we establish soundness and completeness guarantees relative to space-bounded lifted proofs, along with quasipolynomial sample and runtime bounds, demonstrating that lifted query-driven reasoning can be efficient even when unrestricted knowledge-base learning is not.
Subjects: Artificial Intelligence (cs.AI)
Cite as: arXiv:2610.34747 [cs.AI]
  (or arXiv:2610.34747v1 [cs.AI] for this version)
  https://doi.org/10.48550/arXiv.2610.34747

arXiv-issued DOI via DataCite (pending registration)

Submission history

From: Luise Ge [view email]
[v1] Mon, 26 Oct 2026 02:47:57 UTC (38 KB)

来源:arXiv cs.AI · arxiv.org