Abstract
Fractals are geometric patterns with identical characteristics in each of their component parts. They are used to depict features which have recurring patterns at ever-smaller scales. This study offers a technique for learning from fractal images using Meta-Interpretative Learning (MIL). MIL has previously been employed for few-shot learning from geometrical shapes (e.g. regular polygons) and has exhibited significantly higher accuracy when compared to Convolutional Neural Networks (CNN). Our objective is to illustrate the application of MIL in learning from fractal images. We first generate a dataset of images of simple fractal and non-fractal geometries and then we implement a technique to learn recursive rules which describe fractal geometries. Our approach uses graphs extracted from images as background knowledge. Finally, we evaluate our approach against CNN-based approaches, such as Siamese Net, VGG19, ResNet50 and DenseNet169.