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Neuro-symbolic learning (NSL) models complex symbolic rule patterns into latent variable distributions by neural networks, which reduces rule search space and generates unseen rules to improve downstream task performance. Centralized NSL…

Artificial Intelligence · Computer Science 2024-05-28 Pengwei Xing , Songtao Lu , Han Yu

Deep neural networks, empowered by pre-trained language models, have achieved remarkable results in natural language understanding (NLU) tasks. However, their performances can drastically deteriorate when logical reasoning is needed. This…

Computation and Language · Computer Science 2022-10-24 Zhixuan Liu , Zihao Wang , Yuan Lin , Hang Li

Spiking Neural Networks (SNNs) are distributed trainable systems whose computing elements, or neurons, are characterized by internal analog dynamics and by digital and sparse synaptic communications. The sparsity of the synaptic spiking…

Signal Processing · Electrical Eng. & Systems 2019-10-22 Hyeryung Jang , Osvaldo Simeone , Brian Gardner , André Grüning

In this chapter, we address the problem of rule mining, beginning with essential background information, including measures of rule quality. We then explore various rule mining methodologies, categorized into three groups: inductive logic…

Artificial Intelligence · Computer Science 2024-08-13 Agnieszka Lawrynowicz , Luis Galarraga , Mehwish Alam , Berenice Jaulmes , Vaclav Zeman , Tomas Kliegr

Neuro-symbolic learning was proposed to address challenges with training neural networks for complex reasoning tasks with the added benefits of interpretability, reliability, and efficiency. Neuro-symbolic learning methods traditionally…

Machine Learning · Computer Science 2025-06-02 Adam Stein , Aaditya Naik , Neelay Velingker , Mayur Naik , Eric Wong

Learning from Demonstration~(LfD) should capture not only how a task is executed, but also its high-level task structure that explains the demonstrated behavior. As robots become more autonomous, such task representations must be…

Robotics · Computer Science 2026-05-27 Oleh Borys , Karla Stepanova

Logic Tensor Networks (LTN) is a Neuro-Symbolic framework that effectively incorporates deep learning and logical reasoning. In particular, LTN allows defining a logical knowledge base and using it as the objective of a neural model. This…

Artificial Intelligence · Computer Science 2024-09-25 Tommaso Carraro , Luciano Serafini , Fabio Aiolli

Medical image classification requires not only high predictive performance but also interpretability to ensure clinical trust and adoption. Graph Neural Networks (GNNs) offer a powerful framework for modeling relational structures within…

Image and Video Processing · Electrical Eng. & Systems 2025-10-10 Prajit Sengupta , Islem Rekik

Deep neural networks have achieved impressive supervised classification performance in many tasks including image recognition, speech recognition, and sequence to sequence learning. However, this success has not been translated to…

Machine Learning · Computer Science 2016-08-05 Arvind Neelakantan , Quoc V. Le , Ilya Sutskever

Many inductive logic programming (ILP) methods are incapable of learning programs from probabilistic background knowledge, e.g. coming from sensory data or neural networks with probabilities. We propose Propper, which handles flawed and…

Artificial Intelligence · Computer Science 2024-09-23 Fieke Hillerstrom , Gertjan Burghouts

This study proposes a novel learning paradigm for spiking neural networks (SNNs) that replaces the perceptron-inspired abstraction with biologically grounded neuron models, jointly optimizing synaptic weights and intrinsic neuronal…

Neural and Evolutionary Computing · Computer Science 2026-03-03 Zofia Rudnicka , Janusz Szczepanski , Agnieszka Pregowska

This paper explores the integration of symbolic logic knowledge into deep neural networks for learning from noisy crowd labels. We introduce Logic-guided Learning from Noisy Crowd Labels (Logic-LNCL), an EM-alike iterative logic knowledge…

Machine Learning · Computer Science 2023-03-21 Zhijun Chen , Hailong Sun , Haoqian He , Pengpeng Chen

Neural-symbolic computing has now become the subject of interest of both academic and industry research laboratories. Graph Neural Networks (GNN) have been widely used in relational and symbolic domains, with widespread application of GNNs…

Artificial Intelligence · Computer Science 2021-06-15 Luis C. Lamb , Artur Garcez , Marco Gori , Marcelo Prates , Pedro Avelar , Moshe Vardi

General logical reasoning, defined as the ability to reason deductively on domain-agnostic tasks, continues to be a challenge for large language models (LLMs). Current LLMs fail to reason deterministically and are not interpretable. As…

Artificial Intelligence · Computer Science 2025-08-06 Michael K. Chen

We introduce LearnAD, a neuro-symbolic method for predicting Alzheimer's disease from brain magnetic resonance imaging data, learning fully interpretable rules. LearnAD applies statistical models, Decision Trees, Random Forests, or GNNs to…

Machine Learning · Computer Science 2026-01-06 Thomas Andrews , Mark Law , Sara Ahmadi-Abhari , Alessandra Russo

Existing approaches for predictive process monitoring are sub-symbolic, meaning that they learn correlations between descriptive features and a target feature fully based on data, e.g., predicting the surgical needs of a patient based on…

Artificial Intelligence · Computer Science 2026-04-01 Fabrizio De Santis , Gyunam Park , Wil M. P. van der Aalst , Francesco Zanichelli

Neuro-symbolic systems combine the abilities of neural perception and logical reasoning. However, end-to-end learning of neuro-symbolic systems is still an unsolved challenge. This paper proposes a natural framework that fuses neural…

Artificial Intelligence · Computer Science 2024-10-29 Zenan Li , Yunpeng Huang , Zhaoyu Li , Yuan Yao , Jingwei Xu , Taolue Chen , Xiaoxing Ma , Jian Lu

Deep learning is computationally intensive, with significant efforts focused on reducing arithmetic complexity, particularly regarding energy consumption dominated by data movement. While existing literature emphasizes inference, training…

Machine Learning · Statistics 2025-06-09 Van Minh Nguyen , Cristian Ocampo , Aymen Askri , Louis Leconte , Ba-Hien Tran

A recommendation system assists users in finding items that are relevant to them. Existing recommendation models are primarily based on predicting relationships between users and items and use complex matching models or incorporate…

Artificial Intelligence · Computer Science 2023-09-15 Maonian Wu , Bang Chen , Shaojun Zhu , Bo Zheng , Wei Peng , Mingyi Zhang

Neurosymbolic Programming (NP) techniques have the potential to accelerate scientific discovery. These models combine neural and symbolic components to learn complex patterns and representations from data, using high-level concepts or known…