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Despite the omnipresence of tensors and tensor operations in modern deep learning, the use of tensor mathematics to formally design and describe neural networks is still under-explored within the deep learning community. To this end, we…

Machine Learning · Computer Science 2023-03-27 Yao Lei Xu , Kriton Konstantinidis , Danilo P. Mandic

Explainable Artificial Intelligence (XAI) plays a crucial role in fostering transparency and trust in AI systems, where traditional XAI approaches typically offer one level of abstraction for explanations, often in the form of heatmaps…

Deep neural networks, despite their success in numerous applications, often function without established theoretical foundations. In this paper, we bridge this gap by drawing parallels between deep learning and classical numerical analysis.…

Machine Learning · Computer Science 2023-10-04 Emanuele Zappala , Daniel Levine , Sizhuang He , Syed Rizvi , Sacha Levy , David van Dijk

Software frameworks for neural networks play a key role in the development and application of deep learning methods. In this paper, we introduce the Chainer framework, which intends to provide a flexible, intuitive, and high performance…

There is a wide gap between symbolic reasoning and deep learning. In this research, we explore the possibility of using deep learning to improve symbolic reasoning. Briefly, in a reasoning system, a deep feedforward neural network is used…

Artificial Intelligence · Computer Science 2018-09-13 Cheng-Hao Cai , Dengfeng Ke , Yanyan Xu , Kaile Su

Machine learning (ML) on graph-structured data has recently received deepened interest in the context of intrusion detection in the cybersecurity domain. Due to the increasing amounts of data generated by monitoring tools as well as more…

Cryptography and Security · Computer Science 2023-08-25 Anna Himmelhuber , Dominik Dold , Stephan Grimm , Sonja Zillner , Thomas Runkler

Efficiency is essential to support responsiveness w.r.t. ever-growing datasets, especially for Deep Learning (DL) systems. DL frameworks have traditionally embraced deferred execution-style DL code -- supporting symbolic, graph-based Deep…

Software Engineering · Computer Science 2023-10-12 Raffi Khatchadourian , Tatiana Castro Vélez , Mehdi Bagherzadeh , Nan Jia , Anita Raja

Existing approaches for predictive process monitoring are sub-symbolic, meaning that they learn correlations between descriptive features and a target feature fully based on data, e.g., predicting the surgical needs of a patient based on…

Artificial Intelligence · Computer Science 2026-04-01 Fabrizio De Santis , Gyunam Park , Wil M. P. van der Aalst , Francesco Zanichelli

One of the goals of neuro-symbolic artificial intelligence is to exploit background knowledge to improve the performance of learning tasks. However, most of the existing frameworks focus on the simplified scenario where knowledge does not…

Artificial Intelligence · Computer Science 2025-05-09 Luca Salvatore Lorello , Marco Lippi , Stefano Melacci

Inferring topological and geometrical information from data can offer an alternative perspective on machine learning problems. Methods from topological data analysis, e.g., persistent homology, enable us to obtain such information,…

Computer Vision and Pattern Recognition · Computer Science 2018-02-19 Christoph Hofer , Roland Kwitt , Marc Niethammer , Andreas Uhl

Neural networks adapt very well to distributed and continuous representations, but struggle to generalize from small amounts of data. Symbolic systems commonly achieve data efficient generalization by exploiting modularity to benefit from…

Neural and Evolutionary Computing · Computer Science 2023-03-15 Eli Whitehouse

Conventional deep reinforcement learning methods are sample-inefficient and usually require a large number of training trials before convergence. Since such methods operate on an unconstrained action set, they can lead to useless actions. A…

Artificial Intelligence · Computer Science 2021-03-04 Daiki Kimura , Subhajit Chaudhury , Akifumi Wachi , Ryosuke Kohita , Asim Munawar , Michiaki Tatsubori , Alexander Gray

Learning efficient and interpretable policies has been a challenging task in reinforcement learning (RL), particularly in the visual RL setting with complex scenes. While neural networks have achieved competitive performance, the resulting…

Machine Learning · Computer Science 2023-01-02 Wenqing Zheng , S P Sharan , Zhiwen Fan , Kevin Wang , Yihan Xi , Zhangyang Wang

Although deep learning models perform remarkably well across a range of tasks such as language translation and object recognition, it remains unclear what high-level logic, if any, they follow. Understanding this logic may lead to more…

Databases · Computer Science 2019-01-08 Thibault Sellam , Kevin Lin , Ian Yiran Huang , Yiru Chen , Michelle Yang , Carl Vondrick , Eugene Wu

Many promising approaches to symbolic regression have been presented in recent years, yet progress in the field continues to suffer from a lack of uniform, robust, and transparent benchmarking standards. In this paper, we address this…

Neural and Evolutionary Computing · Computer Science 2021-08-02 William La Cava , Patryk Orzechowski , Bogdan Burlacu , Fabrício Olivetti de França , Marco Virgolin , Ying Jin , Michael Kommenda , Jason H. Moore

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

Computational context understanding refers to an agent's ability to fuse disparate sources of information for decision-making and is, therefore, generally regarded as a prerequisite for sophisticated machine reasoning capabilities, such as…

Artificial Intelligence · Computer Science 2020-03-11 Alessandro Oltramari , Jonathan Francis , Cory Henson , Kaixin Ma , Ruwan Wickramarachchi

Deep learning and convolutional neural networks in particular are powerful and promising tools for cosmological analysis of large-scale structure surveys. They are already providing similar performance to classical analysis methods using…

Cosmology and Nongalactic Astrophysics · Physics 2026-05-06 Gaspard Aymerich , Tomasz Kacprzak , Alexandre Refregier

Human learning relies on specialization -- distinct cognitive mechanisms working together to enable rapid learning. In contrast, most modern neural networks rely on a single mechanism: gradient descent over an objective function. This…

Machine Learning · Computer Science 2025-05-16 Daniel Weitekamp , Christopher MacLellan , Erik Harpstead , Kenneth Koedinger

Neuro-symbolic learning generally consists of two separated worlds, i.e., neural network training and symbolic constraint solving, whose success hinges on symbol grounding, a fundamental problem in AI. This paper presents a novel, softened…

Artificial Intelligence · Computer Science 2024-03-04 Zenan Li , Yuan Yao , Taolue Chen , Jingwei Xu , Chun Cao , Xiaoxing Ma , Jian Lü