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Neurosymbolic (NeSy) AI studies the integration of neural networks (NNs) and symbolic reasoning based on logic. Usually, NeSy techniques focus on learning the neural, probabilistic and/or fuzzy parameters of NeSy models. Learning the…

Artificial Intelligence · Computer Science 2025-03-13 Matthias Möller , Arvid Norlander , Pedro Zuidberg Dos Martires , Luc De Raedt

Deep neural learning uses an increasing amount of computation and data to solve very specific problems. By stark contrast, human minds solve a wide range of problems using a fixed amount of computation and limited experience. One ability…

Artificial Intelligence · Computer Science 2023-12-19 Zihan Ye , Hikaru Shindo , Devendra Singh Dhami , Kristian Kersting

LLMs have demonstrated highly effective learning, human-like response generation,and decision-making capabilities in high-risk sectors. However, these models remain black boxes because they struggle to ensure transparency in responses. The…

Artificial Intelligence · Computer Science 2025-10-27 Maneeha Rani , Bhupesh Kumar Mishra , Dhavalkumar Thakker

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

This paper analyzes the learnability of neuro-symbolic (NeSy) tasks within hybrid systems. We show that the learnability of NeSy tasks can be characterized by their derived constraint satisfaction problems (DCSPs). Specifically, a task is…

Artificial Intelligence · Computer Science 2025-03-24 Hao-Yuan He , Ming Li

Neurosymbolic AI combines the interpretability, parsimony, and explicit reasoning of classical symbolic approaches with the statistical learning of data-driven neural approaches. Models and policies that are simultaneously differentiable…

Artificial Intelligence · Computer Science 2024-02-09 Peter Graf , Patrick Emami

Remote sensing underpins crucial applications such as disaster relief and ecological field surveys, where systems must understand complex scenes and constraints and make reliable decisions. Current remote-sensing benchmarks mainly focus on…

Artificial Intelligence · Computer Science 2026-03-18 Ming Yang , Zhi Zhou , Shi-Yu Tian , Kun-Yang Yu , Lan-Zhe Guo , Yu-Feng Li

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

Large language models (LLMs) exhibit strong general-purpose reasoning capabilities, yet they frequently hallucinate when used as world models (WMs), where strict compliance with deterministic transition rules--particularly in corner…

Computation and Language · Computer Science 2026-03-10 Hongyu Zhao , Siyu Zhou , Haolin Yang , Zengyi Qin , Tianyi Zhou

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

Neurosymbolic learning can use symbolic rules to provide supervision for latent concepts from weak labels, but it commonly assumes that the entities referenced by these rules are already specified. Object-centric models decompose images…

Computer Vision and Pattern Recognition · Computer Science 2026-05-18 Stefano Colamonaco , David Debot , Giuseppe Marra

Neurosymbolic (NeSy) AI has emerged as a promising direction to integrate neural and symbolic reasoning. Unfortunately, little effort has been given to developing NeSy systems tailored to sequential/temporal problems. We identify symbolic…

Artificial Intelligence · Computer Science 2025-05-22 Nikolaos Manginas , George Paliouras , Luc De Raedt

We address the challenge of adopting language models (LMs) for embodied tasks in dynamic environments, where online access to large-scale inference engines or symbolic planners is constrained due to latency, connectivity, and resource…

Artificial Intelligence · Computer Science 2025-10-23 Wonje Choi , Jooyoung Kim , Honguk Woo

The remarkable success of today's deep neural networks highly depends on a massive number of correctly labeled data. However, it is rather costly to obtain high-quality human-labeled data, leading to the active research area of training…

Machine Learning · Computer Science 2020-11-04 Jiacheng Wang , Yue Ma , Shuang Gao

Although Answer Set Programming (ASP) allows constraining neural-symbolic (NeSy) systems, its employment is hindered by the prohibitive costs of computing stable models and the CPU-bound nature of state-of-the-art solvers. To this end, we…

Artificial Intelligence · Computer Science 2024-12-20 Arseny Skryagin , Daniel Ochs , Phillip Deibert , Simon Kohaut , Devendra Singh Dhami , Kristian Kersting

We study the problem of combining neural networks with symbolic reasoning. Recently introduced frameworks for Probabilistic Neurosymbolic Learning (PNL), such as DeepProbLog, perform exponential-time exact inference, limiting the…

Machine Learning · Computer Science 2023-09-25 Emile van Krieken , Thiviyan Thanapalasingam , Jakub M. Tomczak , Frank van Harmelen , Annette ten Teije

In recent years, neuro-symbolic methods have become a popular and powerful approach that augments artificial intelligence systems with the capability to perform abstract, logical, and quantitative deductions with enhanced precision and…

Artificial Intelligence · Computer Science 2025-02-04 Yuxuan Wu , Hideki Nakayama

The field of Neural-Symbolic (NeSy) systems is growing rapidly. Proposed approaches show great promise in achieving symbiotic unions of neural and symbolic methods. However, a unifying framework is needed to organize common NeSy modeling…

Machine Learning · Computer Science 2025-07-22 Charles Dickens , Connor Pryor , Changyu Gao , Alon Albalak , Eriq Augustine , William Wang , Stephen Wright , Lise Getoor

Labeling training examples at scale is a perennial challenge in machine learning. Self-supervision methods compensate for the lack of direct supervision by leveraging prior knowledge to automatically generate noisy labeled examples. Deep…

Machine Learning · Computer Science 2020-12-24 Hunter Lang , Hoifung Poon

We study the problem of learning worst-case-safe parameters for programs that use neural networks as well as symbolic, human-written code. Such neurosymbolic programs arise in many safety-critical domains. However, because they can use…

Machine Learning · Computer Science 2022-03-28 Chenxi Yang , Swarat Chaudhuri