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Related papers: A Learnability Analysis on Neuro-Symbolic Learning

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Neurosymbolic integration (NeSy) blends neural-network learning with symbolic reasoning. The field can be split between methods injecting hand-crafted rules into neural models, and methods inducing symbolic rules from data. We introduce…

Machine Learning · Computer Science 2026-05-18 Davide Bizzaro , Alessandro Daniele

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…

Modern deep learning algorithms tend to optimize an objective metric, such as minimize a cross entropy loss on a training dataset, to be able to learn. The problem is that the single metric is an incomplete description of the real world…

Machine Learning · Computer Science 2021-01-07 Giang Dao , Minwoo Lee

Many AI synthesis problems such as planning or scheduling may be modelized as constraint satisfaction problems (CSP). A CSP is typically defined as the problem of finding any consistent labeling for a fixed set of variables satisfying all…

Artificial Intelligence · Computer Science 2013-03-25 Thomas Schiex

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

Real-world robotic applications, from autonomous exploration to assistive technologies, require adaptive, interpretable, and data-efficient learning paradigms. While deep learning architectures and foundation models have driven significant…

Robotics · Computer Science 2025-06-11 Octavio Arriaga , Rebecca Adam , Melvin Laux , Lisa Gutzeit , Marco Ragni , Jan Peters , Frank Kirchner

Understanding how the brain learns to compute functions reliably, efficiently and robustly with noisy spiking activity is a fundamental challenge in neuroscience. Most sensory and motor tasks can be described as dynamical systems and could…

Neurons and Cognition · Quantitative Biology 2017-05-24 Sophie Denève , Alireza Alemi , Ralph Bourdoukan

This paper presents NeSyPack, a neuro-symbolic framework for bimanual logistics packing. NeSyPack combines data-driven models and symbolic reasoning to build an explainable hierarchical system that is generalizable, data-efficient, and…

Robotics · Computer Science 2025-06-10 Bowei Li , Peiqi Yu , Zhenran Tang , Han Zhou , Yifan Sun , Ruixuan Liu , Changliu Liu

This survey explores the integration of learning and reasoning in two different fields of artificial intelligence: neurosymbolic and statistical relational artificial intelligence. Neurosymbolic artificial intelligence (NeSy) studies the…

Artificial Intelligence · Computer Science 2024-01-03 Giuseppe Marra , Sebastijan Dumančić , Robin Manhaeve , Luc De Raedt

Computational learning theory states that many classes of boolean formulas are learnable in polynomial time. This paper addresses the understudied subject of how, in practice, such formulas can be learned by deep neural networks.…

Machine Learning · Computer Science 2025-09-17 Marcio Nicolau , Anderson R. Tavares , Zhiwei Zhang , Pedro Avelar , João M. Flach , Luis C. Lamb , Moshe Y. Vardi

Neuro-Symbolic (NeSy) predictors that conform to symbolic knowledge - encoding, e.g., safety constraints - can be affected by Reasoning Shortcuts (RSs): They learn concepts consistent with the symbolic knowledge by exploiting unintended…

Machine Learning · Computer Science 2024-02-20 Emanuele Marconato , Samuele Bortolotti , Emile van Krieken , Antonio Vergari , Andrea Passerini , Stefano Teso

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

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

As the success of deep learning reaches more grounds, one would like to also envision the potential limits of deep learning. This paper gives a first set of results proving that certain deep learning algorithms fail at learning certain…

Machine Learning · Computer Science 2019-04-30 Emmanuel Abbe , Colin Sandon

The nondeterminism of Deep Learning (DL) training algorithms and its influence on the explainability of neural network (NN) models are investigated in this work with the help of image classification examples. To discuss the issue, two…

Machine Learning · Computer Science 2022-03-03 A. -M. Leventi-Peetz , T. Östreich

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…

Despite the success of deep neural networks (DNNs) in image classification tasks, the human-level performance relies on massive training data with high-quality manual annotations, which are expensive and time-consuming to collect. There…

Machine Learning · Computer Science 2019-04-15 Junnan Li , Yongkang Wong , Qi Zhao , Mohan Kankanhalli

Neurosymbolic (NeSy) artificial intelligence describes the combination of logic or rule-based techniques with neural networks. Compared to neural approaches, NeSy methods often possess enhanced interpretability, which is particularly…

Artificial Intelligence · Computer Science 2025-01-13 Lauren Nicole DeLong , Yojana Gadiya , Paola Galdi , Jacques D. Fleuriot , Daniel Domingo-Fernández

Recent advances in machine learning models allowed robots to identify objects on a perceptual nonsymbolic level (e.g., through sensor fusion and natural language understanding). However, these primarily black-box learning models still lack…

Robotics · Computer Science 2023-07-11 Amr Gomaa , Bilal Mahdy , Niko Kleer , Michael Feld , Frank Kirchner , Antonio Krüger

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