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Structured output prediction problems are ubiquitous in machine learning. The prominent approach leverages neural networks as powerful feature extractors, otherwise assuming the independence of the outputs. These outputs, however, jointly…

This paper develops a novel methodology for using symbolic knowledge in deep learning. From first principles, we derive a semantic loss function that bridges between neural output vectors and logical constraints. This loss function captures…

Artificial Intelligence · Computer Science 2018-06-11 Jingyi Xu , Zilu Zhang , Tal Friedman , Yitao Liang , Guy Van den Broeck

Symbolic rule learners generate interpretable solutions, however they require the input to be encoded symbolically. Neuro-symbolic approaches overcome this issue by mapping raw data to latent symbolic concepts using a neural network.…

Machine Learning · Computer Science 2023-10-10 Theo Charalambous , Yaniv Aspis , Alessandra Russo

Symbolic regression is a technique that can automatically derive analytic models from data. Traditionally, symbolic regression has been implemented primarily through genetic programming that evolves populations of candidate solutions…

Neural and Evolutionary Computing · Computer Science 2025-04-24 Jiří Kubalík , Robert Babuška

Symbolic regression is essential for deriving interpretable expressions that elucidate complex phenomena by exposing the underlying mathematical and physical relationships in data. In this paper, we present an advanced symbolic regression…

Machine Learning · Computer Science 2025-03-13 Sikai Huang , Yixin Berry Wen , Tara Adusumilli , Kusum Choudhary , Haizhao Yang

Predictive modeling on sequential event data is critical for fraud detection and healthcare monitoring. Existing data-driven approaches learn correlations from historical data but fail to incorporate domain-specific sequential constraints…

Artificial Intelligence · Computer Science 2026-03-31 Fabrizio De Santis , Gyunam Park , Francesco Zanichelli

In this paper, we develop upon the emerging topic of loss function learning, which aims to learn loss functions that significantly improve the performance of the models trained under them. Specifically, we propose a new meta-learning…

Machine Learning · Computer Science 2024-07-02 Christian Raymond , Qi Chen , Bing Xue , Mengjie Zhang

In symbolic regression, the search for analytic models is typically driven purely by the prediction error observed on the training data samples. However, when the data samples do not sufficiently cover the input space, the prediction error…

Machine Learning · Computer Science 2020-04-28 J. Kubalík , E. Derner , R. Babuška

The recent developments and growing interest in neural-symbolic models has shown that hybrid approaches can offer richer models for Artificial Intelligence. The integration of effective relational learning and reasoning methods is one of…

Machine Learning · Computer Science 2020-05-07 Henrique Lemos , Pedro Avelar , Marcelo Prates , Luís Lamb , Artur Garcez

Numerous neuro-symbolic approaches have recently been proposed typically with the goal of adding symbolic knowledge to the output layer of a neural network. Ideally, such losses maximize the probability that the neural network's predictions…

Machine Learning · Computer Science 2023-03-01 Kareem Ahmed , Kai-Wei Chang , Guy Van den Broeck

Our goal is to $\textit{efficiently}$ discover a compact set of temporal logic rules to explain irregular events of interest. We introduce a neural-symbolic rule induction framework within the temporal point process model. The negative…

Machine Learning · Computer Science 2024-06-07 Yang Yang , Chao Yang , Boyang Li , Yinghao Fu , Shuang Li

Neural-symbolic approaches have recently gained popularity to inject prior knowledge into a learner without requiring it to induce this knowledge from data. These approaches can potentially learn competitive solutions with a significant…

Artificial Intelligence · Computer Science 2023-02-16 Giuseppe Marra , Francesco Giannini , Michelangelo Diligenti , Marco Maggini , Marco Gori

We introduce Neuro-Symbolic Continual Learning, where a model has to solve a sequence of neuro-symbolic tasks, that is, it has to map sub-symbolic inputs to high-level concepts and compute predictions by reasoning consistently with prior…

Machine Learning · Computer Science 2023-12-20 Emanuele Marconato , Gianpaolo Bontempo , Elisa Ficarra , Simone Calderara , Andrea Passerini , Stefano Teso

In the last years, deep learning has dramatically improved the performances in a variety of medical image analysis applications. Among different types of deep learning models, convolutional neural networks have been among the most…

Image and Video Processing · Electrical Eng. & Systems 2021-04-23 Minh H. Vu , Gabriella Norman , Tufve Nyholm , Tommy Löfstedt

Intelligent agents must reason over both continuous dynamics and discrete representations to generate effective plans in complex environments. Previous studies have shown that symbolic abstractions can emerge from neural effect predictors…

Robotics · Computer Science 2026-03-10 Fatih Dogangun , Burcu Kilic , Serdar Bahar , Emre Ugur

State-of-the-art neurosymbolic learning systems use probabilistic reasoning to guide neural networks towards predictions that conform to logical constraints over symbols. Many such systems assume that the probabilities of the considered…

Machine Learning · Statistics 2024-06-10 Emile van Krieken , Pasquale Minervini , Edoardo M. Ponti , Antonio Vergari

[RETRACTED]Data increasingly abounds, but distilling their underlying relationships down to something interpretable remains challenging. One approach is genetic programming, which `symbolically regresses' a data set down into an equation.…

Neural and Evolutionary Computing · Computer Science 2025-10-23 Amanda Bertschinger , James Bagrow , Joshua Bongard

Combining symbolic human knowledge with neural networks provides a rule-based ante-hoc explanation of the output. In this paper, we propose feature extracting functions for integrating human knowledge abstracted as logic rules into the…

Artificial Intelligence · Computer Science 2021-04-13 Shashank Gupta , Antonio Robles-Kelly , Mohamed Reda Bouadjenek

Analogical Reasoning problems challenge both connectionist and symbolic AI systems as these entail a combination of background knowledge, reasoning and pattern recognition. While symbolic systems ingest explicit domain knowledge and perform…

Artificial Intelligence · Computer Science 2022-09-20 Vishwa Shah , Aditya Sharma , Gautam Shroff , Lovekesh Vig , Tirtharaj Dash , Ashwin Srinivasan

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
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