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Neural-symbolic computing (NeSy), which pursues the integration of the symbolic and statistical paradigms of cognition, has been an active research area of Artificial Intelligence (AI) for many years. As NeSy shows promise of reconciling…

Artificial Intelligence · Computer Science 2024-10-04 Wenguan Wang , Yi Yang , Fei Wu

Neuro-symbolic (NeSy) AI aims to develop deep neural networks whose predictions comply with prior knowledge encoding, e.g. safety or structural constraints. As such, it represents one of the most promising avenues for reliable and…

Over the last few decades, Artificial Intelligence (AI) scientists have been conducting investigations to attain human-level performance by a machine in accomplishing a cognitive task. Within machine learning, the ultimate aspiration is to…

Artificial Intelligence · Computer Science 2025-03-25 Delower Hossain , Jake Y Chen

Neuro-Symbolic AI (NeSy) holds promise to ensure the safe deployment of AI systems, as interpretable symbolic techniques provide formal behaviour guarantees. The challenge is how to effectively integrate neural and symbolic computation, to…

Artificial Intelligence · Computer Science 2024-02-06 Daniel Cunnington , Mark Law , Jorge Lobo , Alessandra Russo

Neurosymbolic (NeSy) frameworks combine neural representations and learning with symbolic representations and reasoning. Combining the reasoning capacities, explainability, and interpretability of symbolic processing with the flexibility…

Artificial Intelligence · Computer Science 2025-09-10 Sania Sinha , Tanawan Premsri , Danial Kamali , Parisa Kordjamshidi

The integration of symbolic computing with neural networks has intrigued researchers since the first theorizations of Artificial intelligence (AI). The ability of Neuro-Symbolic (NeSy) methods to infer or exploit behavioral schema has been…

Artificial Intelligence · Computer Science 2026-03-04 Giovanni Pio Delvecchio , Lorenzo Molfetta , Gianluca Moro

Neural-Symbolic (NeSy) Artificial Intelligence has emerged as a promising approach for combining the learning capabilities of neural networks with the interpretable reasoning of symbolic systems. However, existing NeSy frameworks typically…

Machine Learning · Computer Science 2026-01-09 Marios Thoma , Vassilis Vassiliades , Loizos Michael

Neurosymbolic (NeSy) AI aims to combine the strengths of neural architectures and symbolic reasoning to improve the accuracy, interpretability, and generalization capability of AI models. While logic inference on top of subsymbolic modules…

In this paper, we introduce Neural Probabilistic Soft Logic (NeuPSL), a novel neuro-symbolic (NeSy) framework that unites state-of-the-art symbolic reasoning with the low-level perception of deep neural networks. To model the boundary…

Machine Learning · Computer Science 2023-05-24 Connor Pryor , Charles Dickens , Eriq Augustine , Alon Albalak , William Wang , Lise Getoor

Neurosymbolic AI (NeSy) aims to integrate the statistical strengths of neural networks with the interpretability and structure of symbolic reasoning. However, current NeSy frameworks like DeepProbLog enforce a fixed flow where symbolic…

Artificial Intelligence · Computer Science 2025-09-10 Adem Kikaj , Giuseppe Marra , Floris Geerts , Robin Manhaeve , Luc De Raedt

Neuro-Symbolic (NeSy) predictive models hold the promise of improved compliance with given constraints, systematic generalization, and interpretability, as they allow to infer labels that are consistent with some prior knowledge by…

Machine Learning · Computer Science 2023-12-19 Emanuele Marconato , Stefano Teso , Antonio Vergari , Andrea Passerini

Neuro-Symbolic Artificial Intelligence (NeSy AI) has emerged as a promising direction for integrating neural learning with symbolic reasoning. Typically, in the probabilistic variant of such systems, a neural network first extracts a set of…

Neuro-symbolic systems (NeSy), which claim to combine the best of both learning and reasoning capabilities of artificial intelligence, are missing a core property of reasoning systems: Declarativeness. The lack of declarativeness is caused…

Artificial Intelligence · Computer Science 2025-01-31 Tilman Hinnerichs , Robin Manhaeve , Giuseppe Marra , Sebastijan Dumancic

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

Deep learning has largely improved the performance of various natural language processing (NLP) tasks. However, most deep learning models are black-box machinery, and lack explicit interpretation. In this chapter, we will introduce our…

Computation and Language · Computer Science 2023-09-26 Xianggen Liu , Zhengdong Lu , Lili Mou

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

Large Language Models (LLMs) have shown promising results across various tasks, yet their reasoning capabilities remain a fundamental challenge. Developing AI systems with strong reasoning capabilities is regarded as a crucial milestone in…

Artificial Intelligence · Computer Science 2025-08-20 Xiao-Wen Yang , Jie-Jing Shao , Lan-Zhe Guo , Bo-Wen Zhang , Zhi Zhou , Lin-Han Jia , Wang-Zhou Dai , Yu-Feng Li

Current advances in Artificial Intelligence and machine learning in general, and deep learning in particular have reached unprecedented impact not only across research communities, but also over popular media channels. However, concerns…

Artificial Intelligence · Computer Science 2019-05-16 Artur d'Avila Garcez , Marco Gori , Luis C. Lamb , Luciano Serafini , Michael Spranger , Son N. Tran

A large class of Neural-Symbolic (NeSy) methods employs a machine learner to process the input entities, while relying on a reasoner based on First-Order Logic to represent and process more complex relationships among the entities. A…

Artificial Intelligence · Computer Science 2025-10-28 Rodrigo Castellano Ontiveros , Francesco Giannini , Marco Gori , Giuseppe Marra , Michelangelo Diligenti

Neuro-Symbolic (NeSy) integration combines symbolic reasoning with Neural Networks (NNs) for tasks requiring perception and reasoning. Most NeSy systems rely on continuous relaxation of logical knowledge, and no discrete decisions are made…

Machine Learning · Computer Science 2024-02-28 Alessandro Daniele , Tommaso Campari , Sagar Malhotra , Luciano Serafini
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