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We propose a novel framework seamlessly providing key properties of both neural nets (learning) and symbolic logic (knowledge and reasoning). Every neuron has a meaning as a component of a formula in a weighted real-valued logic, yielding a…

Nearly all real world tasks are inherently partially observable, necessitating the use of memory in Reinforcement Learning (RL). Most model-free approaches summarize the trajectory into a latent Markov state using memory models borrowed…

Machine Learning · Computer Science 2023-10-09 Steven Morad , Ryan Kortvelesy , Stephan Liwicki , Amanda Prorok

Graph neural networks (GNNs) excel at predictive tasks on graph-structured data but often lack the ability to incorporate symbolic domain knowledge and perform general reasoning. Relational Bayesian Networks (RBNs), in contrast, enable…

Artificial Intelligence · Computer Science 2025-07-30 Raffaele Pojer , Andrea Passerini , Kim G. Larsen , Manfred Jaeger

Large Language Models (LLMs) have achieved remarkable success across various domains. However, they still face significant challenges, including high computational costs for training and limitations in solving complex reasoning problems.…

Machine Learning · Computer Science 2025-05-20 Hang Gao , Chenhao Zhang , Tie Wang , Junsuo Zhao , Fengge Wu , Changwen Zheng , Huaping Liu

Transfer learning in reinforcement learning (RL) seeks to accelerate learning in new tasks by leveraging knowledge from related sources. Existing neurosymbolic transfer methods, however, typically rely on manually specified task automata,…

Artificial Intelligence · Computer Science 2026-05-08 Mahyar Alinejad , Yue Wang , Amrit Singh Bedi , George Atia

We focus on reinforcement learning (RL) in relational problems that are naturally defined in terms of objects, their relations, and object-centric actions. These problems are characterized by variable state and action spaces, and finding a…

Machine Learning · Computer Science 2023-08-28 Jaromír Janisch , Tomáš Pevný , Viliam Lisý

Markov Logic Networks (MLNs), which elegantly combine logic rules and probabilistic graphical models, can be used to address many knowledge graph problems. However, inference in MLN is computationally intensive, making the industrial-scale…

Artificial Intelligence · Computer Science 2020-02-05 Yuyu Zhang , Xinshi Chen , Yuan Yang , Arun Ramamurthy , Bo Li , Yuan Qi , Le Song

The human reasoning process is seldom a one-way process from an input leading to an output. Instead, it often involves a systematic deduction by ruling out other possible outcomes as a self-checking mechanism. In this paper, we describe the…

Artificial Intelligence · Computer Science 2020-03-10 Fang Wan , Chaoyang Song

Deep learning (DL) enables deep neural networks (DNNs) to automatically learn complex tasks or rules from given examples without instructions or guiding principles. As we do not engineer DNNs' functions, it is extremely difficult to…

Machine Learning · Computer Science 2024-11-19 Jung H. Lee , Sujith Vijayan

In this paper we take the first steps in studying a new approach to synthesis of efficient communication schemes in multi-agent systems, trained via reinforcement learning. We combine symbolic methods with machine learning, in what is…

Artificial Intelligence · Computer Science 2022-12-29 Erik Jergéus , Leo Karlsson Oinonen , Emil Carlsson , Moa Johansson

\textit{Graph neural networks} (GNNs) are effective models for many dynamical systems consisting of entities and relations. Although most GNN applications assume a single type of entity and relation, many situations involve multiple types…

Machine Learning · Computer Science 2023-10-12 Ferran Alet , Erica Weng , Tomás Lozano Pérez , Leslie Pack Kaelbling

Language models' (LMs) proficiency in handling deterministic symbolic reasoning and rule-based tasks remains limited due to their dependency implicit learning on textual data. To endow LMs with genuine rule comprehension abilities, we…

Computation and Language · Computer Science 2024-03-12 Yixuan Weng , Minjun Zhu , Fei Xia , Bin Li , Shizhu He , Kang Liu , Jun Zhao

Deep learning (DL) based language models achieve high performance on various benchmarks for Natural Language Inference (NLI). And at this time, symbolic approaches to NLI are receiving less attention. Both approaches (symbolic and DL) have…

Computation and Language · Computer Science 2021-06-11 Zeming Chen , Qiyue Gao , Lawrence S. Moss

Deep reinforcement learning (DRL) has achieved significant breakthroughs in various tasks. However, most DRL algorithms suffer a problem of generalizing the learned policy which makes the learning performance largely affected even by minor…

Machine Learning · Computer Science 2019-07-11 Zhengyao Jiang , Shan Luo

We propose a novel learning paradigm for Deep Neural Networks (DNN) by using Boolean logic algebra. We first present the basic differentiable operators of a Boolean system such as conjunction, disjunction and exclusive-OR and show how these…

Machine Learning · Computer Science 2019-04-10 Ali Payani , Faramarz Fekri

Generalizing to unseen graph tasks without task-pecific supervision remains challenging. Graph Neural Networks (GNNs) are limited by fixed label spaces, while Large Language Models (LLMs) lack structural inductive biases. Recent advances in…

Machine Learning · Computer Science 2025-08-29 Yicong Wu , Guangyue Lu , Yuan Zuo , Huarong Zhang , Junjie Wu

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

The detection of semantic relationships between objects represented in an image is one of the fundamental challenges in image interpretation. Neural-Symbolic techniques, such as Logic Tensor Networks (LTNs), allow the combination of…

Computer Vision and Pattern Recognition · Computer Science 2021-09-21 Francesco Manigrasso , Filomeno Davide Miro , Lia Morra , Fabrizio Lamberti

One approach to explaining the hierarchical levels of understanding within a machine learning model is the symbolic method of inductive logic programming (ILP), which is data efficient and capable of learning first-order logic rules that…

Machine Learning · Computer Science 2023-09-01 Andreas Bueff , Vaishak Belle

Modern AI systems often comprise multiple learnable components that can be naturally organized as graphs. A central challenge is the end-to-end training of such systems without restrictive architectural or training assumptions. Such tasks…

Multiagent Systems · Computer Science 2025-12-30 Maksim Kryzhanovskiy , Svetlana Glazyrina , Roman Ischenko , Konstantin Vorontsov