FOLD-R++: A Scalable Toolset for Automated Inductive Learning of Default Theories from Mixed Data
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Abstract (arXiv)
FOLD-R is an automated inductive learning algorithm for learning default rules for mixed (numerical and categorical) data. It generates an (explainable) answer set programming (ASP) rule set for classification tasks. We present an improved FOLD-R algorithm, called FOLD-R++, that significantly increases the efficiency and scalability of FOLD-R by orders of magnitude. FOLD-R++ improves upon FOLD-R without compromising or losing information in the input training data during the encoding or feature selection phase. The FOLD-R++ algorithm is competitive in performance with the widely-used XGBoost algorithm, however, unlike XGBoost, the FOLD-R++ algorithm produces an explainable model. FOLD-R++ is also competitive in performance with the RIPPER system, however, on large datasets FOLD-R++ outperforms RIPPER. We also create a powerful tool-set by combining FOLD-R++ with s(CASP)-a goal-directed ASP execution engine-to make predictions on new data samples using the answer set program generated by FOLD-R++. The s(CASP) system also produces a justification for the prediction. Experiments presented in this paper show that our improved FOLD-R++ algorithm is a significant improvement over the original design and that the s(CASP) system can make predictions in an efficient manner as well.
Key facts. Cited by 10 papers in the map (data through 14 Oct 2026). Builds on 6 of its 37 references that are in the map. First posted on arXiv 15 Oct 2021.
Builds on
6 of 37 references.
References · 6
- 2016XGBoost: A Scalable Tree Boosting Systemcited by 5,166
- 2018Constraint Answer Set Programming without Groundingcited by 38
- 2017A New Algorithm to Automate Inductive Learning of Default Theoriescited by 14
- 2020Justifications for Goal-Directed Constraint Answer Set Programmingcited by 14
- 2018Heuristic Based Induction of Answer Set Programs: From Default theories to combinatorial problemscited by 4
- 2021Generating Explainable Rule Sets from Tree-Ensemble Learning Methods by Answer Set Programmingcited by 4
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Citing papers per year: 2022: 1; 2023: 1; 2024: 4; 2025: 3; 2026: 1.
10 papers.
- 2022FOLD-SE: An Efficient Rule-based Machine Learning Algorithm with Scalable Explainabilitycited by 15
- 2024CON-FOLD -- Explainable Machine Learning with Confidencecited by 2
- 2024Interpretable Rule-Based System for Radar-Based Gesture Sensing: Enhancing Transparency and Personalization in AIcited by 2
- 2025MC3G: Model Agnostic Causally Constrained Counterfactual Generationcited by 2
- 2026A Foundation Model for Zero-Shot Logical Rule Inductioncited by 1
- 2023Counterfactual Explanation Generation with s(CASP)cited by 0
- 2024Counterfactual Generation with Answer Set Programmingcited by 0
- 2024CFGs: Causality Constrained Counterfactual Explanations using goal-directed ASPcited by 0
- 2025Interpretable Hybrid Machine Learning Models Using FOLD-R++ and Answer Set Programmingcited by 0
- 2025Comparative Analysis of FOLD-SE vs. FOLD-R++ in Binary Classification and XGBoost in Multi-Category Classificationcited by 0
- 2026A Foundation Model for Zero-Shot Logical Rule Induction6 May 2026
- 2025Comparative Analysis of FOLD-SE vs. FOLD-R++ in Binary Classification and XGBoost in Multi-Category Classification14 Sep 2025
- 2025MC3G: Model Agnostic Causally Constrained Counterfactual Generation24 Aug 2025
- 2025Interpretable Hybrid Machine Learning Models Using FOLD-R++ and Answer Set Programming24 Jun 2025
- 2024Interpretable Rule-Based System for Radar-Based Gesture Sensing: Enhancing Transparency and Personalization in AI30 Sep 2024
- 2024CON-FOLD -- Explainable Machine Learning with Confidence14 Aug 2024
- 2024CFGs: Causality Constrained Counterfactual Explanations using goal-directed ASP24 May 2024
- 2024Counterfactual Generation with Answer Set Programming6 Feb 2024
- 2023Counterfactual Explanation Generation with s(CASP)23 Oct 2023
- 2022FOLD-SE: An Efficient Rule-based Machine Learning Algorithm with Scalable Explainability16 Aug 2022