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Statistical learning and logical reasoning are two major fields of AI expected to be unified for human-like machine intelligence. Most existing work considers how to combine existing logical and statistical systems. However, there is no…

Artificial Intelligence · Computer Science 2026-02-24 Hiroyuki Kido

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

We explore neuro-symbolic approaches to generalize actionable knowledge, enabling embodied agents to tackle complex tasks more effectively in open-domain environments. A key challenge for embodied agents is the generalization of knowledge…

Artificial Intelligence · Computer Science 2025-03-10 Wonje Choi , Jinwoo Park , Sanghyun Ahn , Daehee Lee , Honguk Woo

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

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

Entity alignment (EA) aims to merge two knowledge graphs (KGs) by identifying equivalent entity pairs. Existing methods can be categorized into symbolic and neural models. Symbolic models, while precise, struggle with substructure…

Artificial Intelligence · Computer Science 2025-09-30 Shengyuan Chen , Zheng Yuan , Qinggang Zhang , Wen Hua , Jiannong Cao , Xiao Huang

Neurosymbolic AI is growing in popularity thanks to its ability to combine neural perception and symbolic reasoning in end-to-end trainable models. However, recent findings reveal these are prone to shortcut reasoning, i.e., to learning…

Machine Learning · Computer Science 2026-02-02 Luca Andolfi , Eleonora Giunchiglia

In social science, formal and quantitative models, such as ones describing economic growth and collective action, are used to formulate mechanistic explanations, provide predictions, and uncover questions about observed phenomena. Here, we…

Symbolic Computation · Computer Science 2023-08-17 Julia Balla , Sihao Huang , Owen Dugan , Rumen Dangovski , Marin Soljacic

To handle AI tasks that combine perception and logical reasoning, recent work introduces Neurosymbolic Deep Neural Networks (NS-DNNs), which contain -- in addition to traditional neural layers -- symbolic layers: symbolic expressions (e.g.,…

Machine Learning · Computer Science 2024-02-07 Aaron Bembenek , Toby Murray

A core challenge for both physics and artificial intellicence (AI) is symbolic regression: finding a symbolic expression that matches data from an unknown function. Although this problem is likely to be NP-hard in principle, functions of…

Computational Physics · Physics 2020-04-16 Silviu-Marian Udrescu , Max Tegmark

We contribute a theoretical and operational framework for neurosymbolic AI called DeepLog. DeepLog introduces building blocks and primitives for neurosymbolic AI that make abstraction of commonly used representations and computational…

Artificial Intelligence · Computer Science 2026-03-18 Vincent Derkinderen , Robin Manhaeve , Rik Adriaensen , Lucas Van Praet , Lennert De Smet , Giuseppe Marra , Luc De Raedt

The unification of statistical (data-driven) and symbolic (knowledge-driven) methods is widely recognised as one of the key challenges of modern AI. Recent years have seen large number of publications on such hybrid neuro-symbolic AI…

Artificial Intelligence · Computer Science 2021-03-26 Michael van Bekkum , Maaike de Boer , Frank van Harmelen , André Meyer-Vitali , Annette ten Teije

Despite the surprising power of many modern AI systems that often learn their own representations, there is significant discontent about their inscrutability and the attendant problems in their ability to interact with humans. While…

Artificial Intelligence · Computer Science 2021-12-13 Subbarao Kambhampati , Sarath Sreedharan , Mudit Verma , Yantian Zha , Lin Guan

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

We leverage convex and bilevel optimization techniques to develop a general gradient-based parameter learning framework for neural-symbolic (NeSy) systems. We demonstrate our framework with NeuPSL, a state-of-the-art NeSy architecture. To…

Machine Learning · Computer Science 2024-06-05 Charles Dickens , Changyu Gao , Connor Pryor , Stephen Wright , Lise Getoor

Many high-performance models suffer from a lack of interpretability. There has been an increasing influx of work on explainable artificial intelligence (XAI) in order to disentangle what is meant and expected by XAI. Nevertheless, there is…

Machine Learning · Computer Science 2019-10-23 Adrien Bennetot , Jean-Luc Laurent , Raja Chatila , Natalia Díaz-Rodríguez

The unification of low-level perception and high-level reasoning is a long-standing problem in artificial intelligence, which has the potential to not only bring the areas of logic and learning closer together but also demonstrate how…

Artificial Intelligence · Computer Science 2019-11-27 Anton Fuxjaeger , Vaishak Belle

The cognitive framework of conceptual spaces bridges the gap between symbolic and subsymbolic AI by proposing an intermediate conceptual layer where knowledge is represented geometrically. There are two main approaches for obtaining the…

Machine Learning · Computer Science 2019-08-08 Lucas Bechberger , Elektra Kypridemou

Knowledge graph reasoning is the fundamental component to support machine learning applications such as information extraction, information retrieval, and recommendation. Since knowledge graphs can be viewed as the discrete symbolic…

Artificial Intelligence · Computer Science 2021-04-01 Jing Zhang , Bo Chen , Lingxi Zhang , Xirui Ke , Haipeng Ding

We present a framework where neural models develop an AI Mother Tongue, a native symbolic language that simultaneously supports intuitive reasoning, compositional symbol chains, and inherent interpretability. Unlike post-hoc explanation…

Computation and Language · Computer Science 2025-08-27 Hung Ming Liu
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