Regularization in Probabilistic Inductive Logic Programming

• Published in: Inductive Logic Programming pp. 16 - 29
• Main Authors: Gentili, Elisabetta, Bizzarri, Alice, Azzolini, Damiano, Zese, Riccardo, Riguzzi, Fabrizio
• Format: Book Chapter
• Language: English
• Published: Cham Springer Nature Switzerland 22.12.2023
• Series: Lecture Notes in Computer Science
• Subjects: Probabilistic Inductive Logic Programming; Regularization; Statistical Relational Artificial Intelligence
• ISBN: 9783031492983; 3031492986
• ISSN: 0302-9743; 1611-3349
• DOI: 10.1007/978-3-031-49299-0_2

Probabilistic Logic Programming combines uncertainty and logic-based languages. Liftable Probabilistic Logic Programs have been recently proposed to perform inference in a lifted way. LIFTCOVER is an algorithm used to perform parameter and structure learning of liftable probabilistic logic programs. In particular, it performs parameter learning via Expectation Maximization and LBFGS. In this paper, we present an updated version of LIFTCOVER, called LIFTCOVER+, in which regularization was added to improve the quality of the solutions and LBFGS was replaced by gradient descent. We tested LIFTCOVER+ on the same 12 datasets on which LIFTCOVER was tested and compared the performances in terms of AUC-ROC, AUC-PR, and execution times. Results show that in most cases Expectation Maximization with regularization improves the quality of the solutions.