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Recent studies in neuro-symbolic learning have explored the integration of logical knowledge into deep learning via encoding logical constraints as an additional loss function. However, existing approaches tend to vacuously satisfy logical…

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

Although deep neural networks have shown well-performance in various tasks, the poor interpretability of the models is always criticized. In the paper, we propose a new interpretable neural network method, by embedding neurons into the…

Machine Learning · Computer Science 2022-11-16 Wei Han , Yangqiming Wang , Christian Böhm , Junming Shao

Artificial Intelligence (AI) is a powerful new language of science as evidenced by recent Nobel Prizes in chemistry and physics that recognized contributions to AI applied to those areas. Yet, this new language lacks semantics, which makes…

Artificial Intelligence · Computer Science 2025-11-05 Artur d'Avila Garcez , Simon Odense

Deep neural networks (DNNs) excel on fixed datasets but struggle with incremental and shifting data in real-world scenarios. Continual learning addresses this challenge by allowing models to learn from new data while retaining previously…

Computer Vision and Pattern Recognition · Computer Science 2025-06-10 Lu Yu , Zhe Tao , Dipam Goswami , Hantao Yao , Bartłomiej Twardowski , Joost Van de Weijer , Changsheng Xu

Learning image representations that capture rich semantic relationships remains a significant challenge. Existing approaches are either contrastive, lacking robust theoretical guarantees, or struggle to effectively represent the partial…

Computer Vision and Pattern Recognition · Computer Science 2025-04-15 Gabriel Moreira , Manuel Marques , João Paulo Costeira , Alexander Hauptmann

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

Neuro-symbolic predictors learn a mapping from sub-symbolic inputs to higher-level concepts and then carry out (probabilistic) logical inference on this intermediate representation. This setup offers clear advantages in terms of consistency…

Artificial Intelligence · Computer Science 2023-03-23 Emanuele Marconato , Stefano Teso , Andrea Passerini

The goal of neural-symbolic computation is to integrate the connectionist and symbolist paradigms. Prior methods learn the neural-symbolic models using reinforcement learning (RL) approaches, which ignore the error propagation in the…

Machine Learning · Statistics 2020-07-29 Qing Li , Siyuan Huang , Yining Hong , Yixin Chen , Ying Nian Wu , Song-Chun Zhu

The loss function is arguably among the most important hyperparameters for a neural network. Many loss functions have been designed to date, making a correct choice nontrivial. However, elaborate justifications regarding the choice of the…

Machine Learning · Computer Science 2022-10-31 Simon Dräger , Jannik Dunkelau

Humans can often quickly and efficiently solve complex new learning tasks given only a small set of examples. In contrast, modern artificially intelligent systems often require thousands or millions of observations in order to solve even…

Machine Learning · Computer Science 2025-05-08 Christian Raymond

Neuro-symbolic systems combine the abilities of neural perception and logical reasoning. However, end-to-end learning of neuro-symbolic systems is still an unsolved challenge. This paper proposes a natural framework that fuses neural…

Artificial Intelligence · Computer Science 2024-10-29 Zenan Li , Yunpeng Huang , Zhaoyu Li , Yuan Yao , Jingwei Xu , Taolue Chen , Xiaoxing Ma , Jian Lu

Neural networks have a reputation for being better at solving statistical or approximate problems than at performing calculations or working with symbolic data. In this paper, we show that they can be surprisingly good at more elaborated…

Symbolic Computation · Computer Science 2019-12-04 Guillaume Lample , François Charton

Injecting discrete logical constraints into neural network learning is one of the main challenges in neuro-symbolic AI. We find that a straight-through-estimator, a method introduced to train binary neural networks, could effectively be…

Artificial Intelligence · Computer Science 2023-07-11 Zhun Yang , Joohyung Lee , Chiyoun Park

Interpretability of deep neural networks (DNNs) is essential since it enables users to understand the overall strengths and weaknesses of the models, conveys an understanding of how the models will behave in the future, and how to diagnose…

Computer Vision and Pattern Recognition · Computer Science 2017-03-31 Yinpeng Dong , Hang Su , Jun Zhu , Bo Zhang

Thesedays, Convolutional Neural Networks are widely used in semantic segmentation. However, since CNN-based segmentation networks produce low-resolution outputs with rich semantic information, it is inevitable that spatial details (e.g.,…

Computer Vision and Pattern Recognition · Computer Science 2019-10-03 Youngeun Kim , Seunghyeon Kim , Taekyung Kim , Changick Kim

Deep Learning models are a standard solution for sensor-based Human Activity Recognition (HAR), but their deployment is often limited by labeled data scarcity and models' opacity. Neuro-Symbolic AI (NeSy) provides an interesting research…

Machine Learning · Computer Science 2023-06-09 Luca Arrotta , Gabriele Civitarese , Claudio Bettini

Current advances in Artificial Intelligence and machine learning in general, and deep learning in particular have reached unprecedented impact not only across research communities, but also over popular media channels. However, concerns…

Artificial Intelligence · Computer Science 2019-05-16 Artur d'Avila Garcez , Marco Gori , Luis C. Lamb , Luciano Serafini , Michael Spranger , Son N. Tran

Symbolic regression is a type of discrete optimization problem that involves searching expressions that fit given data points. In many cases, other mathematical constraints about the unknown expression not only provide more information…

Machine Learning · Computer Science 2021-02-16 Li Li , Minjie Fan , Rishabh Singh , Patrick Riley

A promising direction in deep learning research consists in learning representations and simultaneously discovering cluster structure in unlabeled data by optimizing a discriminative loss function. As opposed to supervised deep learning,…

Deep learning has been shown to achieve impressive results in several domains like computer vision and natural language processing. A key element of this success has been the development of new loss functions, like the popular cross-entropy…

Machine Learning · Computer Science 2019-07-19 Francesco Giannini , Giuseppe Marra , Michelangelo Diligenti , Marco Maggini , Marco Gori