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This chapter investigates the concept of mutual understanding between humans and systems, positing that Neuro-symbolic Artificial Intelligence (NeSy AI) methods can significantly enhance this mutual understanding by leveraging explicit…

Artificial Intelligence · Computer Science 2025-04-16 Irene Celino , Mario Scrocca , Agnese Chiatti

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

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

Spiking neural networks (SNNs) are distributed trainable systems whose computing elements, or neurons, are characterized by internal analog dynamics and by digital and sparse synaptic communications. The sparsity of the synaptic spiking…

Machine Learning · Computer Science 2020-01-08 Hyeryung Jang , Osvaldo Simeone , Brian Gardner , André Grüning

Recent years have witnessed the success of deep neural networks in many research areas. The fundamental idea behind the design of most neural networks is to learn similarity patterns from data for prediction and inference, which lacks the…

Machine Learning · Computer Science 2020-08-24 Shaoyun Shi , Hanxiong Chen , Weizhi Ma , Jiaxin Mao , Min Zhang , Yongfeng Zhang

Bayesian neural networks utilize probabilistic layers that capture uncertainty over weights and activations, and are trained using Bayesian inference. Since these probabilistic layers are designed to be drop-in replacement of their…

Machine Learning · Computer Science 2021-06-28 Daniel T. Chang

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

$\textbf{Formal version available at}$ https://cell.com/patterns/fulltext/S2666-3899(23)00200-3 Networks of spiking neurons underpin the extraordinary information-processing capabilities of the brain and have become pillar models in…

Neural and Evolutionary Computing · Computer Science 2023-09-18 Gehua Ma , Rui Yan , Huajin Tang

Neuro-Symbolic Artificial Intelligence (AI) is an emerging and quickly advancing field that combines the subsymbolic strengths of (deep) neural networks and explicit, symbolic knowledge contained in knowledge graphs to enhance…

Computers and Society · Computer Science 2023-08-07 Aritran Piplai , Anantaa Kotal , Seyedreza Mohseni , Manas Gaur , Sudip Mittal , Anupam Joshi

The need for consistent treatment of uncertainty has recently triggered increased interest in probabilistic deep learning methods. However, most current approaches have severe limitations when it comes to inference, since many of these…

Deep Reinforcement Learning (DRL) algorithms often require a large amount of data and struggle in sparse-reward domains with long planning horizons and multiple sub-goals. In this paper, we propose a neuro-symbolic extension of Proximal…

Artificial Intelligence · Computer Science 2026-04-29 Simone Murari , Celeste Veronese , Daniele Meli

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

Backpropagation is the foundational algorithm for training neural networks and a key driver of deep learning's success. However, its biological plausibility has been challenged due to three primary limitations: weight symmetry, reliance on…

Neural and Evolutionary Computing · Computer Science 2025-06-05 Changze Lv , Jingwen Xu , Yiyang Lu , Xiaohua Wang , Zhenghua Wang , Zhibo Xu , Di Yu , Xin Du , Xiaoqing Zheng , Xuanjing Huang

Sequences and time-series often arise in robot tasks, e.g., in activity recognition and imitation learning. In recent years, deep neural networks (DNNs) have emerged as an effective data-driven methodology for processing sequences given…

Artificial Intelligence · Computer Science 2021-01-29 Yaqi Xie , Fan Zhou , Harold Soh

Symbolic has been long considered as a language of human intelligence while neural networks have advantages of robust computation and dealing with noisy data. The integration of neural-symbolic can offer better learning and reasoning while…

Artificial Intelligence · Computer Science 2017-06-23 Son N. Tran

We introduce neural networks for end-to-end differentiable proving of queries to knowledge bases by operating on dense vector representations of symbols. These neural networks are constructed recursively by taking inspiration from the…

Neural and Evolutionary Computing · Computer Science 2017-12-05 Tim Rocktäschel , Sebastian Riedel

Probabilistic Answer Set Programming under the credal semantics (PASP) extends Answer Set Programming with probabilistic facts that represent uncertain information. The probabilistic facts are discrete with Bernoulli distributions. However,…

Artificial Intelligence · Computer Science 2025-02-19 Damiano Azzolini , Fabrizio Riguzzi

Deep probabilistic programming languages try to combine the advantages of deep learning with those of probabilistic programming languages. If successful, this would be a big step forward in machine learning and programming languages.…

Artificial Intelligence · Computer Science 2018-04-19 Guillaume Baudart , Martin Hirzel , Louis Mandel

Probabilistic Logic Programming (PLP), exemplified by Sato and Kameya's PRISM, Poole's ICL, De Raedt et al's ProbLog and Vennekens et al's LPAD, combines statistical and logical knowledge representation and inference. Inference in these…

Artificial Intelligence · Computer Science 2012-03-21 Muhammad Asiful Islam , C. R. Ramakrishnan , I. V. Ramakrishnan

Solving Inductive Logic Programming (ILP) problems with neural networks is a key challenge in Neural-Symbolic Ar- tificial Intelligence (AI). While most research has focused on designing novel network architectures for individual prob-…

Artificial Intelligence · Computer Science 2025-11-18 Bowen He , Xiaoan Xu , Alper Kamil Bozkurt , Vahid Tarokh , Juncheng Dong
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