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Stacked Capsule Autoencoders (1906.06818v2)

Published 17 Jun 2019 in stat.ML, cs.CV, cs.LG, and cs.NE

Abstract: Objects are composed of a set of geometrically organized parts. We introduce an unsupervised capsule autoencoder (SCAE), which explicitly uses geometric relationships between parts to reason about objects. Since these relationships do not depend on the viewpoint, our model is robust to viewpoint changes. SCAE consists of two stages. In the first stage, the model predicts presences and poses of part templates directly from the image and tries to reconstruct the image by appropriately arranging the templates. In the second stage, SCAE predicts parameters of a few object capsules, which are then used to reconstruct part poses. Inference in this model is amortized and performed by off-the-shelf neural encoders, unlike in previous capsule networks. We find that object capsule presences are highly informative of the object class, which leads to state-of-the-art results for unsupervised classification on SVHN (55%) and MNIST (98.7%). The code is available at https://github.com/google-research/google-research/tree/master/stacked_capsule_autoencoders

Citations (252)

Summary

  • The paper proposes a novel unsupervised learning method that leverages geometric relationships to enhance object recognition.
  • It introduces a two-stage architecture with a Part Capsule Autoencoder for image segmentation and an Object Capsule Autoencoder for piece assembly.
  • The approach delivers state-of-the-art performance on SVHN (55%) and MNIST (98.7%), unlocking potential in fields like autonomous driving and AR.

Stacked Capsule Autoencoders: An Overview

The paper presents an innovative approach to unsupervised object recognition and classification through the development of Stacked Capsule Autoencoders (SCAEs). The primary focus is on leveraging geometric relationships between parts of objects to maintain robustness against viewpoint changes. Unlike traditional CNNs that often struggle with non-translational transformations, SCAEs explicitly learn transformations between objects and their constituent parts, enhancing their ability to manage complex visual changes.

The SCAEs operate in two distinct stages. The first stage involves a Part Capsule Autoencoder (PCAu) that segments images into parts, infers their poses, and rearranges them to reconstruct the input image. This approach is inspired by the idea that objects can be decomposed into a set of geometrically organized parts. The geometric relationships do not depend on the viewpoint, providing a solution to the limitations faced by standard CNNs when handling scale, orientation, and other affine transformations.

In the second stage, the Object Capsule Autoencoder (OCAu) organizes the discovered parts and poses into coherent objects. Unlike the previous capsule networks where interactive inference was required, the inference in SCAEs is amortized. This is achieved using off-the-shelf neural encoders, enhancing efficiency and scalability.

Numerical Results and Claims

The paper reports strong numerical results, particularly in unsupervised classification tasks. The model achieves state-of-the-art results on the SVHN dataset (55%) and the MNIST dataset (98.7%), demonstrating the SCAEs' capability in effectively classifying objects without supervision. These results highlight the efficacy of the proposed approach in capturing and processing intricate geometric relationships in visual data.

Implications and Future Directions

The theoretical implication of this research is the demonstration of the effectiveness of capsule-based architectures in unsupervised learning scenarios. The practical implications include improved performance in tasks requiring robustness to viewpoint variability, making SCAEs potentially valuable in areas such as autonomous driving, robotics, and augmented reality.

Potential future developments could involve refining the architecture to handle more complex data with richer backgrounds, as seen in the challenges faced with the CIFAR-10 dataset. Another avenue for future exploration is integrating mutual information-based losses to potentially enhance clustering and classification performance, particularly in diverse and complex datasets.

Overall, Stacked Capsule Autoencoders provide a meaningful advancement in the quest to develop models that better interpret and classify visual data through the lens of geometric invariance and part-whole hierarchies. This work stands as a testament to the potential of model architectures that move beyond the traditional feature-based approaches of CNNs, paving the way for new methodologies in unsupervised machine learning and perception.