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Enabling neural networks to learn complex logical constraints and fulfill symbolic reasoning is a critical challenge. Bridging this gap often requires guiding the neural network's output distribution to move closer to the symbolic…

Artificial Intelligence · Computer Science 2025-08-25 Xuan Zhang , Zhijian Zhou , Weidi Xu , Yanting Miao , Chao Qu , Yuan Qi

Logical Neural Networks (LNNs) are a type of architecture which combine a neural network's abilities to learn and systems of formal logic's abilities to perform symbolic reasoning. LLNs provide programmers the ability to implicitly modify…

Artificial Intelligence · Computer Science 2022-08-15 Aidan Evans , Jorge Blanco

We study the problem of learning control policies for complex tasks given by logical specifications. Recent approaches automatically generate a reward function from a given specification and use a suitable reinforcement learning algorithm…

Machine Learning · Computer Science 2021-12-28 Kishor Jothimurugan , Suguman Bansal , Osbert Bastani , Rajeev Alur

We present a simple linear programming (LP) based method to learn compact and interpretable sets of rules encoding the facts in a knowledge graph (KG) and use these rules to solve the KG completion problem. Our LP model chooses a set of…

Artificial Intelligence · Computer Science 2023-03-07 Sanjeeb Dash , Joao Goncalves

Learning rules plays a crucial role in deep learning, particularly in explainable artificial intelligence and enhancing the reasoning capabilities of large language models. While existing rule learning methods are primarily designed for…

Artificial Intelligence · Computer Science 2026-04-10 Kun Gao , Davide Soldà , Thomas Eiter , Katsumi Inoue

Critical points separate distinct dynamical regimes of complex systems, often delimiting functional or macroscopic phases in which the system operates. However, the long-term prediction of critical regimes and behaviors is challenging given…

Physics and Society · Physics 2025-04-15 Xiangrong Wang , Dan Lu , Zongze Wu , Weina Xu , Hongru Hou , Yanqing Hu , Yamir Moreno

Artificial Intelligence agents are required to learn from their surroundings and to reason about the knowledge that has been learned in order to make decisions. While state-of-the-art learning from data typically uses sub-symbolic…

Artificial Intelligence · Computer Science 2021-12-24 Samy Badreddine , Artur d'Avila Garcez , Luciano Serafini , Michael Spranger

Recent progress in deep reinforcement learning (DRL) can be largely attributed to the use of neural networks. However, this black-box approach fails to explain the learned policy in a human understandable way. To address this challenge and…

Artificial Intelligence · Computer Science 2021-03-17 Zhihao Ma , Yuzheng Zhuang , Paul Weng , Hankz Hankui Zhuo , Dong Li , Wulong Liu , Jianye Hao

Large language models (LLMs) have shown incredible performance in completing various real-world tasks. The current paradigm of knowledge learning for LLMs is mainly based on learning from examples, in which LLMs learn the internal rule…

Computation and Language · Computer Science 2024-12-17 Wenkai Yang , Yankai Lin , Jie Zhou , Ji-Rong Wen

We combine Recurrent Neural Networks with Tensor Product Representations to learn combinatorial representations of sequential data. This improves symbolic interpretation and systematic generalisation. Our architecture is trained end-to-end…

Machine Learning · Computer Science 2019-01-09 Imanol Schlag , Jürgen Schmidhuber

Learning an explainable classifier often results in low accuracy model or ends up with a huge rule set, while learning a deep model is usually more capable of handling noisy data at scale, but with the cost of hard to explain the result and…

Artificial Intelligence · Computer Science 2022-11-11 Yuanlong Li , Gaopan Huang , Min Zhou , Chuan Fu , Honglin Qiao , Yan He

While utilization of digital agents to support crucial decision making is increasing, trust in suggestions made by these agents is hard to achieve. However, it is essential to profit from their application, resulting in a need for…

Machine Learning · Computer Science 2022-04-21 Michael Heider , Helena Stegherr , Jonathan Wurth , Roman Sraj , Jörg Hähner

Learning how to predict future events from patterns of past events is difficult when the set of possible event types is large. Training an unrestricted neural model might overfit to spurious patterns. To exploit domain-specific knowledge of…

Machine Learning · Computer Science 2020-08-18 Hongyuan Mei , Guanghui Qin , Minjie Xu , Jason Eisner

Logical reasoning is central to complex human activities, such as thinking, debating, and planning; it is also a central component of many AI systems as well. In this paper, we investigate the extent to which encoder-only transformer…

Computation and Language · Computer Science 2024-07-02 Paulo Pirozelli , Marcos M. José , Paulo de Tarso P. Filho , Anarosa A. F. Brandão , Fabio G. Cozman

Many aspects of human reasoning, including language, require learning rules from very little data. Humans can do this, often learning systematic rules from very few examples, and combining these rules to form compositional rule-based…

Artificial Intelligence · Computer Science 2020-10-26 Maxwell I. Nye , Armando Solar-Lezama , Joshua B. Tenenbaum , Brenden M. Lake

Higher-order logic programming is an interesting extension of traditional logic programming that allows predicates to appear as arguments and variables to be used where predicates typically occur. Higher-order characteristics are indeed…

Programming Languages · Computer Science 2018-12-04 Antonis Troumpoukis , Angelos Charalambidis

We demonstrate the first Recurrent Neural Network architecture for learning Signal Temporal Logic formulas, and present the first systematic comparison of formula inference methods. Legacy systems embed much expert knowledge which is not…

Machine Learning · Computer Science 2022-08-11 Nicole Fronda , Houssam Abbas

We propose a novel paradigm for solving Inductive Logic Programming (ILP) problems via deep recurrent neural networks. This proposed ILP solver is designed based on differentiable implementation of the deduction via forward chaining. In…

Artificial Intelligence · Computer Science 2019-06-11 Ali Payani , Faramarz Fekri

In this paper, we focus on exploiting neural networks for the analysis and planning stage in self-adaptive architectures. The studied motivating cases in the paper involve existing (legacy) self-adaptive architectures and their adaptation…

The black-box nature of neural models has motivated a line of research that aims to generate natural language rationales to explain why a model made certain predictions. Such rationale generation models, to date, have been trained on…

Computation and Language · Computer Science 2020-12-16 Faeze Brahman , Vered Shwartz , Rachel Rudinger , Yejin Choi
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