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To handle AI tasks that combine perception and logical reasoning, recent work introduces Neurosymbolic Deep Neural Networks (NS-DNNs), which contain -- in addition to traditional neural layers -- symbolic layers: symbolic expressions (e.g.,…

Machine Learning · Computer Science 2024-02-07 Aaron Bembenek , Toby Murray

Despite the practical success of Artificial Intelligence (AI), current neural AI algorithms face two significant issues. First, the decisions made by neural architectures are often prone to bias and brittleness. Second, when a chain of…

Artificial Intelligence · Computer Science 2024-10-21 Sushmita Paul , Jinqiang Yu , Jip J. Dekker , Alexey Ignatiev , Peter J. Stuckey

Current advances in Artificial Intelligence (AI) and Machine Learning (ML) have achieved unprecedented impact across research communities and industry. Nevertheless, concerns about trust, safety, interpretability and accountability of AI…

Artificial Intelligence · Computer Science 2020-12-18 Artur d'Avila Garcez , Luis C. Lamb

Motivated by the interpretability question in ML models as a crucial element for the successful deployment of AI systems, this paper focuses on rule extraction as a means for neural networks interpretability. Through a systematic literature…

Machine Learning · Computer Science 2023-12-21 Sara El Mekkaoui , Loubna Benabbou , Abdelaziz Berrado

The capacity to generate meaningful symbols and effectively employ them for advanced cognitive processes, such as communication, reasoning, and planning, constitutes a fundamental and distinctive aspect of human intelligence. Existing deep…

Artificial Intelligence · Computer Science 2023-06-27 Yang Chen , Liangxuan Guo , Shan Yu

We introduce the Deep Symbolic Network (DSN) model, which aims at becoming the white-box version of Deep Neural Networks (DNN). The DSN model provides a simple, universal yet powerful structure, similar to DNN, to represent any knowledge of…

Artificial Intelligence · Computer Science 2017-07-14 Qunzhi Zhang , Didier Sornette

Artificial intelligence (AI) systems power the world we live in. Deep neural networks (DNNs) are able to solve tasks in an ever-expanding landscape of scenarios, but our eagerness to apply these powerful models leads us to focus on their…

Computer Vision and Pattern Recognition · Computer Science 2022-04-22 Loris Giulivi , Mark James Carman , Giacomo Boracchi

Artificial neural networks (ANNs) have shown to be amongst the most important artificial intelligence (AI) techniques in educational applications, providing adaptive educational services. However, their educational potential is limited in…

Artificial Intelligence · Computer Science 2025-04-01 Danial Hooshyar , Roger Azevedo , Yeongwook Yang

As recommender systems become increasingly complex, transparency is essential to increase user trust, accountability, and regulatory compliance. Neuro-symbolic approaches that integrate symbolic reasoning with sub-symbolic learning offer a…

Machine Learning · Computer Science 2025-05-12 Stephan Bartl , Kevin Innerebner , Elisabeth Lex

There is a wide gap between symbolic reasoning and deep learning. In this research, we explore the possibility of using deep learning to improve symbolic reasoning. Briefly, in a reasoning system, a deep feedforward neural network is used…

Artificial Intelligence · Computer Science 2018-09-13 Cheng-Hao Cai , Dengfeng Ke , Yanyan Xu , Kaile Su

Although backpropagation ANNs generally predict better than decision trees do for pattern classification problems, they are often regarded as black boxes, i.e., their predictions cannot be explained as those of decision trees. In many…

Neural and Evolutionary Computing · Computer Science 2010-09-28 S. M. Kamruzzaman , Md. Monirul Islam

Identifying governing equations for a dynamical system is a topic of critical interest across an array of disciplines, from mathematics to engineering to biology. Machine learning -- specifically deep learning -- techniques have shown their…

Dynamical Systems · Mathematics 2026-05-07 Nibodh Boddupalli , Timothy Matchen , Jeff Moehlis

Neuro-symbolic artificial intelligence (NSAI) represents a transformative approach in artificial intelligence (AI) by combining deep learning's ability to handle large-scale and unstructured data with the structured reasoning of symbolic…

Artificial Intelligence · Computer Science 2025-02-18 Oualid Bougzime , Samir Jabbar , Christophe Cruz , Frédéric Demoly

Artificial Intelligence (AI) is a powerful new language of science as evidenced by recent Nobel Prizes in chemistry and physics that recognized contributions to AI applied to those areas. Yet, this new language lacks semantics, which makes…

Artificial Intelligence · Computer Science 2025-11-05 Artur d'Avila Garcez , Simon Odense

Knowledge graph reasoning is pivotal in various domains such as data mining, artificial intelligence, the Web, and social sciences. These knowledge graphs function as comprehensive repositories of human knowledge, facilitating the inference…

Artificial Intelligence · Computer Science 2024-12-17 Lihui Liu , Zihao Wang , Hanghang Tong

Explainability is an essential reason limiting the application of neural networks in many vital fields. Although neuro-symbolic AI hopes to enhance the overall explainability by leveraging the transparency of symbolic learning, the results…

Artificial Intelligence · Computer Science 2024-11-08 Xin Zhang , Victor S. Sheng

Knowledge representation and reasoning in neural networks have been a long-standing endeavor which has attracted much attention recently. The principled integration of reasoning and learning in neural networks is a main objective of the…

Artificial Intelligence · Computer Science 2025-05-28 Son Tran , Edjard Mota , Artur d'Avila Garcez

Neurosymbolic artificial intelligence (AI) systems combine neural network and classical symbolic AI mechanisms to exploit the complementary strengths of large scale, generalizable learning and robust, verifiable reasoning. Numerous…

Artificial Intelligence · Computer Science 2025-07-15 Aniruddha Chattopadhyay , Raj Dandekar , Kaushik Roy

We develop a general approach to distill symbolic representations of a learned deep model by introducing strong inductive biases. We focus on Graph Neural Networks (GNNs). The technique works as follows: we first encourage sparse latent…

Machine Learning · Computer Science 2020-11-19 Miles Cranmer , Alvaro Sanchez-Gonzalez , Peter Battaglia , Rui Xu , Kyle Cranmer , David Spergel , Shirley Ho

Neuro-symbolic artificial intelligence is a novel area of AI research which seeks to combine traditional rules-based AI approaches with modern deep learning techniques. Neuro-symbolic models have already demonstrated the capability to…

Artificial Intelligence · Computer Science 2021-09-14 Zachary Susskind , Bryce Arden , Lizy K. John , Patrick Stockton , Eugene B. John
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