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The approach described here allows to use the fuzzy Object Based Representation of imprecise and uncertain knowledge. This representation has a great practical interest due to the possibility to realize reasoning on classification with a…

Artificial Intelligence · Computer Science 2012-06-13 Mohamed Nazih Omri

This paper studies learning logic rules for reasoning on knowledge graphs. Logic rules provide interpretable explanations when used for prediction as well as being able to generalize to other tasks, and hence are critical to learn. Existing…

Artificial Intelligence · Computer Science 2021-07-19 Meng Qu , Junkun Chen , Louis-Pascal Xhonneux , Yoshua Bengio , Jian Tang

Reasoning semantically in first-order logic is notoriously a challenge. This paper surveys a selection of semantically-guided or model-based methods that aim at meeting aspects of this challenge. For first-order logic we touch upon…

Artificial Intelligence · Computer Science 2019-11-22 Maria Paola Bonacina , Ulrich Furbach , Viorica Sofronie-Stokkermans

The reasoning process of Graph Neural Networks is complex and considered opaque, limiting trust in their predictions. To alleviate this issue, prior work has proposed concept-based explanations, extracted from clusters in the model's node…

Machine Learning · Computer Science 2026-04-22 Lucie Charlotte Magister , Alexander Norcliffe , Iulia Duta , Pietro Lio

Classification, which involves finding rules that partition a given data set into disjoint groups, is one class of data mining problems. Approaches proposed so far for mining classification rules for large databases are mainly decision tree…

Machine Learning · Computer Science 2017-01-09 Hongjun Lu , Rudy Setiono , Huan Liu

In a recent paper, the authors proposed a general methodology for probabilistic learning on manifolds. The method was used to generate numerical samples that are statistically consistent with an existing dataset construed as a realization…

Probability · Mathematics 2018-03-30 C. Soizea , R. Ghanem , C. Safta , X. Huan , Z. P. Vane , J. Oefelein , G. Lacaz , H. N. Najm , Q. Tang , X. Chen

We propose a formal model of reasoning limitations in large neural net models for language, grounded in the depth of their neural architecture. By treating neural networks as linear operators over logic predicate space we show that each…

Artificial Intelligence · Computer Science 2025-07-29 Bill Cochran

Algorithms of inference in a computer system oriented to input and semantic processing of text information are presented. Such inference is necessary for logical questions when the direct comparison of objects from a question and database…

Computation and Language · Computer Science 2012-02-02 Yuriy Ostapov

In Explainable AI, rule extraction translates model knowledge into logical rules, such as IF-THEN statements, crucial for understanding patterns learned by black-box models. This could significantly aid in fields like disease diagnosis,…

Machine Learning · Computer Science 2024-08-16 Yu Chen , Tianyu Cui , Alexander Capstick , Nan Fletcher-Loyd , Payam Barnaghi

Neural symbolic processing aims to combine the generalization of logical learning approaches and the performance of neural networks. The Neural Theorem Proving (NTP) model by Rocktaschel et al (2017) learns embeddings for concepts and…

Machine Learning · Computer Science 2019-06-18 Michiel de Jong , Fei Sha

While neural networks are good at learning unspecified functions from training samples, they cannot be directly implemented in hardware and are often not interpretable or formally verifiable. On the other hand, logic circuits are…

Machine Learning · Computer Science 2020-06-09 Tobias Brudermueller , Dennis L. Shung , Adrian J. Stanley , Johannes Stegmaier , Smita Krishnaswamy

In recent years, concept-based approaches have emerged as some of the most promising explainability methods to help us interpret the decisions of Artificial Neural Networks (ANNs). These methods seek to discover intelligible visual…

Machine Learning · Computer Science 2023-10-31 Thomas Fel , Victor Boutin , Mazda Moayeri , Rémi Cadène , Louis Bethune , Léo andéol , Mathieu Chalvidal , Thomas Serre

Probabilistic conceptual network is a knowledge representation scheme designed for reasoning about concepts and categorical abstractions in utility-based categorization. The scheme combines the formalisms of abstraction and inheritance…

Artificial Intelligence · Computer Science 2013-03-08 Kim-Leng Poh , Michael R. Fehling

Recent research on graph neural network (GNN) models successfully applied GNNs to classical graph algorithms and combinatorial optimisation problems. This has numerous benefits, such as allowing applications of algorithms when preconditions…

Machine Learning · Computer Science 2021-07-16 Dobrik Georgiev , Pietro Barbiero , Dmitry Kazhdan , Petar Veličković , Pietro Liò

With the prevalence of deep learning based embedding approaches, recommender systems have become a proven and indispensable tool in various information filtering applications. However, many of them remain difficult to diagnose what aspects…

Information Retrieval · Computer Science 2021-10-29 Yao Zhou , Haonan Wang , Jingrui He , Haixun Wang

Explainable Artificial Intelligence (xAI) has the potential to enhance the transparency and trust of AI-based systems. Although accurate predictions can be made using Deep Neural Networks (DNNs), the process used to arrive at such…

Computer Vision and Pattern Recognition · Computer Science 2024-08-09 Bhushan Atote , Victor Sanchez

Language prediction is constrained by informational entropy intrinsic to language, such that there exists a limit to how accurate any language model can become and equivalently a lower bound to language compression. The most efficient…

Computation and Language · Computer Science 2025-11-14 Benjamin L. Badger , Matthew Neligeorge

Concept discovery is one of the open problems in the interpretability literature that is important for bridging the gap between non-deep learning experts and model end-users. Among current formulations, concepts defines them by as a…

Machine Learning · Computer Science 2022-02-11 Adrianna Janik , Kris Sankaran

Large language models achieve strong reasoning performance, yet existing decoding strategies either explore blindly (random sampling) or redundantly (independent multi-sampling). We propose Entropy-Tree, a tree-based decoding method that…

Computation and Language · Computer Science 2026-01-23 Longxuan Wei , Yubo Zhang , Zijiao Zhang , Zhihu Wang , Shiwan Zhao , Tianyu Huang , Huiting Zhao , Chenfei Liu , Shenao Zhang , Junchi Yan

Providing textual concept-based explanations for neurons in deep neural networks (DNNs) is of importance in understanding how a DNN model works. Prior works have associated concepts with neurons based on examples of concepts or a…

Computer Vision and Pattern Recognition · Computer Science 2024-06-14 Nhat Hoang-Xuan , Minh Vu , My T. Thai
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