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Neural-symbolic learning, an intersection of neural networks and symbolic reasoning, aims to blend neural networks' learning capabilities with symbolic AI's interpretability and reasoning. This paper introduces an approach designed to…

Artificial Intelligence · Computer Science 2025-06-10 Fadi Al Machot

Symbolic regression is a powerful technique that can discover analytical equations that describe data, which can lead to explainable models and generalizability outside of the training data set. In contrast, neural networks have achieved…

Machine Learning · Computer Science 2022-03-10 Samuel Kim , Peter Y. Lu , Srijon Mukherjee , Michael Gilbert , Li Jing , Vladimir Čeperić , Marin Soljačić

We present Scallop, a language which combines the benefits of deep learning and logical reasoning. Scallop enables users to write a wide range of neurosymbolic applications and train them in a data- and compute-efficient manner. It achieves…

Programming Languages · Computer Science 2023-04-12 Ziyang Li , Jiani Huang , Mayur Naik

Combining machine learning with logic-based expert systems in order to get the best of both worlds are becoming increasingly popular. However, to what extent machine learning can already learn to reason over rule-based knowledge is still an…

Neural and Evolutionary Computing · Computer Science 2019-03-11 Nuri Cingillioglu , Alessandra Russo

We introduce a neuro-symbolic natural logic framework based on reinforcement learning with introspective revision. The model samples and rewards specific reasoning paths through policy gradient, in which the introspective revision algorithm…

Computation and Language · Computer Science 2022-06-08 Yufei Feng , Xiaoyu Yang , Xiaodan Zhu , Michael Greenspan

When neural networks are used to solve differential equations, they usually produce solutions in the form of black-box functions that are not directly mathematically interpretable. We introduce a method for generating symbolic expressions…

Machine Learning · Computer Science 2020-11-05 Maysum Panju , Ali Ghodsi

Artificial Intelligence agents are required to learn from their surroundings and to reason about the knowledge that has been learned in order to make decisions. While state-of-the-art learning from data typically uses sub-symbolic…

Artificial Intelligence · Computer Science 2021-12-24 Samy Badreddine , Artur d'Avila Garcez , Luciano Serafini , Michael Spranger

Latent reasoning has been recently proposed as a reasoning paradigm and performs multi-step reasoning through generating steps in the latent space instead of the textual space. This paradigm enables reasoning beyond discrete language tokens…

Artificial Intelligence · Computer Science 2026-02-27 Yingqian Cui , Zhenwei Dai , Bing He , Zhan Shi , Hui Liu , Rui Sun , Zhiji Liu , Yue Xing , Jiliang Tang , Benoit Dumoulin

Deep reinforcement learning (DRL) brings the power of deep neural networks to bear on the generic task of trial-and-error learning, and its effectiveness has been convincingly demonstrated on tasks such as Atari video games and the game of…

Artificial Intelligence · Computer Science 2016-10-04 Marta Garnelo , Kai Arulkumaran , Murray Shanahan

Neurosymbolic learning enables the integration of symbolic reasoning with deep learning but faces significant challenges in scaling to complex symbolic programs, large datasets, or both. We introduce DOLPHIN, a framework that tackles these…

Machine Learning · Computer Science 2026-01-01 Aaditya Naik , Jason Liu , Claire Wang , Amish Sethi , Saikat Dutta , Mayur Naik , Eric Wong

The recent developments and growing interest in neural-symbolic models has shown that hybrid approaches can offer richer models for Artificial Intelligence. The integration of effective relational learning and reasoning methods is one of…

Machine Learning · Computer Science 2020-05-07 Henrique Lemos , Pedro Avelar , Marcelo Prates , Luís Lamb , Artur Garcez

The remarkable advancements in artificial intelligence (AI), primarily driven by deep neural networks, are facing challenges surrounding unsustainable computational trajectories, limited robustness, and a lack of explainability. To develop…

Neuro-symbolic methods integrate neural architectures, knowledge representation and reasoning. However, they have been struggling at both dealing with the intrinsic uncertainty of the observations and scaling to real-world applications.…

Artificial Intelligence · Computer Science 2025-01-16 Giuseppe Marra , Michelangelo Diligenti , Francesco Giannini

Deep reinforcement learning (RL) methods often require many trials before convergence, and no direct interpretability of trained policies is provided. In order to achieve fast convergence and interpretability for the policy in RL, we…

Humans have the ability to seamlessly combine low-level visual input with high-level symbolic reasoning often in the form of recognising objects, learning relations between them and applying rules. Neuro-symbolic systems aim to bring a…

Machine Learning · Computer Science 2022-03-01 Nuri Cingillioglu , Alessandra Russo

The remarkable advancements in artificial intelligence (AI), primarily driven by deep neural networks, have significantly impacted various aspects of our lives. However, the current challenges surrounding unsustainable computational…

Artificial Intelligence · Computer Science 2024-01-03 Zishen Wan , Che-Kai Liu , Hanchen Yang , Chaojian Li , Haoran You , Yonggan Fu , Cheng Wan , Tushar Krishna , Yingyan Lin , Arijit Raychowdhury

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

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

Neural network approaches have recently shown to be effective in several information retrieval (IR) tasks. However, neural approaches often require large volumes of training data to perform effectively, which is not always available. To…

Information Retrieval · Computer Science 2018-06-14 Hamed Zamani , W. Bruce Croft

Vision-Language models (VLMs) achieve strong performance on multimodal tasks but often fail at systematic visual reasoning tasks, leading to inconsistent or illogical outputs. Neuro-symbolic methods promise to address this by inducing…

Artificial Intelligence · Computer Science 2025-11-25 Antonia Wüst , Wolfgang Stammer , Hikaru Shindo , Lukas Helff , Devendra Singh Dhami , Kristian Kersting