Deep Neural Network for Constraint Acquisition Through Tailored Loss Function

The importance of extracting constraints from data is emphasized by its potential practical applications in solving real-world problems. While constraints are commonly used for modeling and problem-solving, methods for learning constraints from data are still relatively scarce. Moreover, the complex nature of modeling requires expertise and is susceptible to errors, making constraint acquisition methods valuable for automating this process through learning constraints from examples or behaviours of solutions and non-solutions. This study introduces a novel approach grounded in Deep Neural Networks (DNN) based on Symbolic Regression, where suitable loss functions are used to extract constraints directly from datasets. With this approach, constraints can be directly formulated. Additionally, given the wide range of pre-developed architectures and functionalities of DNNs, potential connections and extensions with other frameworks are foreseeable.