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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…

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

Probabilistic neurosymbolic learning seeks to integrate neural networks with symbolic programming. Many state-of-the-art systems rely on a reduction to the Probabilistic Weighted Model Counting Problem (PWMC), which requires computing a…

Artificial Intelligence · Computer Science 2025-01-31 Thomas Jean-Michel Valentin , Luisa Sophie Werner , Pierre Genevès , Nabil Layaïda

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…

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

Neural-symbolic AI (NeSy) allows neural networks to exploit symbolic background knowledge in the form of logic. It has been shown to aid learning in the limited data regime and to facilitate inference on out-of-distribution data.…

Artificial Intelligence · Computer Science 2023-03-15 Lennert De Smet , Pedro Zuidberg Dos Martires , Robin Manhaeve , Giuseppe Marra , Angelika Kimmig , Luc De Raedt

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

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

Multi-agent reinforcement learning (MARL) is well-suited for runtime decision-making in optimizing the performance of systems where multiple agents coexist and compete for shared resources. However, applying common deep learning-based MARL…

Neurosymbolic artificial intelligence is a growing field of research aiming to combine neural network learning capabilities with the reasoning abilities of symbolic systems. Informed multi-label classification is a sub-field of…

Artificial Intelligence · Computer Science 2025-01-24 Arthur Ledaguenel , Céline Hudelot , Mostepha Khouadjia

In this article, we introduce a neuro-symbolic approach that combines a low-level perception task performed by a neural network with a high-level reasoning task performed by a possibilistic rule-based system. The goal is to be able to…

Artificial Intelligence · Computer Science 2025-04-10 Ismaïl Baaj , Pierre Marquis

Sequential problems are ubiquitous in AI, such as in reinforcement learning or natural language processing. State-of-the-art deep sequential models, like transformers, excel in these settings but fail to guarantee the satisfaction of…

Artificial Intelligence · Computer Science 2024-12-18 Lennert De Smet , Gabriele Venturato , Luc De Raedt , Giuseppe Marra

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…

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

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

Deep Learning (DL) techniques have achieved remarkable successes in recent years. However, their ability to generalize and execute reasoning tasks remains a challenge. A potential solution to this issue is Neuro-Symbolic Integration (NeSy),…

Machine Learning · Computer Science 2024-07-16 Alessandro Daniele , Tommaso Campari , Sagar Malhotra , Luciano Serafini

The limitations of purely neural learning have sparked an interest in probabilistic neurosymbolic models, which combine neural networks with probabilistic logical reasoning. As these neurosymbolic models are trained with gradient descent,…

Machine Learning · Computer Science 2024-06-10 Jaron Maene , Vincent Derkinderen , Luc De Raedt

The goal of neuro-symbolic AI is to integrate symbolic and subsymbolic AI approaches, to overcome the limitations of either. Prominent systems include Logic Tensor Networks (LTN) or DeepProbLog, which offer neural predicates and end-to-end…

Artificial Intelligence · Computer Science 2025-06-18 Stephen Roth , Lennart Baur , Derian Boer , Stefan Kramer

Bridging continuous perceptual signals and discrete symbolic reasoning is a fundamental challenge in AI systems that must operate under uncertainty. We present a neuro-symbolic framework that explicitly models and propagates uncertainty…

Artificial Intelligence · Computer Science 2025-11-19 Jiahao Wu , Shengwen Yu

Neural probabilistic logic systems follow the neuro-symbolic (NeSy) paradigm by combining the perceptive and learning capabilities of neural networks with the robustness of probabilistic logic. Learning corresponds to likelihood…

Machine Learning · Computer Science 2024-08-16 Victor Verreet , Lennert De Smet , Luc De Raedt , Emanuele Sansone
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