arXiv:cs.LG· Lincen Yang, Matthijs van Leeuwen·· 7 小时前AI 评分28
TURS:概率化真正无序规则集,让规则重叠不再冲突
Probabilistic Truly Unordered Rule Sets
AI 导读
研究者提出 TURS(Truly Unordered Rule Sets),一种概率化规则集模型,通过仅允许概率输出相近的规则重叠来化解冲突,并基于 MDL 原理形式化学习问题、设计了启发式算法。基准测试显示,该方法学到的规则集模型复杂度更低,预测性能极具竞争力,且规则经验上相互“独立”,因此真正无序。该工作已被 JMLR 接收。
正文
Abstract:Rule set learning has recently been frequently revisited because of its interpretability. Existing methods have several shortcomings though. First, most existing methods impose orders among rules, either explicitly or implicitly, which makes the models less comprehensible. Second, due to the difficulty of handling conflicts caused by overlaps (i.e., instances covered by multiple rules), existing methods often do not consider probabilistic rules. Third, learning classification rules for multi-class target is understudied, as most existing methods focus on binary classification or multi-class classification via the ``one-versus-rest" approach. To address these shortcomings, we propose TURS, for Truly Unordered Rule Sets. To resolve conflicts caused by overlapping rules, we propose a novel model that exploits the probabilistic properties of our rule sets, with the intuition of only allowing rules to overlap if they have similar probabilistic outputs. We next formalize the problem of learning a TURS model based on the MDL principle and develop a carefully designed heuristic algorithm. We benchmark against a wide range of rule-based methods and demonstrate that our method learns rule sets that have lower model complexity and highly competitive predictive performance. In addition, we empirically show that rules in our model are empirically ``independent" and hence truly unordered.
| Comments: | Accepted to JMLR |
| Subjects: | Machine Learning (cs.LG) |
| Cite as: | arXiv:2401.09918 [cs.LG] |
| (or arXiv:2401.09918v2 [cs.LG] for this version) | |
| https://doi.org/10.48550/arXiv.2401.09918 arXiv-issued DOI via DataCite |
Submission history
From: Lincen Yang [view email]
[v1]
Thu, 18 Jan 2024 12:03:19 UTC (2,674 KB)
[v2]
Tue, 6 Oct 2026 06:38:19 UTC (676 KB)
来源:arXiv:cs.LG · arxiv.org