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Neural Expectation Maximization

Published 11 Aug 2017 in cs.LG, cs.NE, and stat.ML | (1708.03498v2)

Abstract: Many real world tasks such as reasoning and physical interaction require identification and manipulation of conceptual entities. A first step towards solving these tasks is the automated discovery of distributed symbol-like representations. In this paper, we explicitly formalize this problem as inference in a spatial mixture model where each component is parametrized by a neural network. Based on the Expectation Maximization framework we then derive a differentiable clustering method that simultaneously learns how to group and represent individual entities. We evaluate our method on the (sequential) perceptual grouping task and find that it is able to accurately recover the constituent objects. We demonstrate that the learned representations are useful for next-step prediction.

Citations (278)

Summary

  • The paper presents a novel differentiable clustering method that fuses the EM framework with neural networks for unsupervised representation learning.
  • It leverages a spatial mixture model to group perceptually similar entities, achieving high Adjusted Mutual Information scores in various experiments.
  • The approach enables robust, symbol-like representations that address the binding problem and enhance tasks such as next-step prediction.

An Overview of Neural Expectation Maximization

In the article titled "Neural Expectation Maximization", the authors introduce a novel approach to address the problem of unsupervised representation learning by formalizing it within the context of a spatial mixture model, where components are parameterized using neural networks. Their objective is to automate the discovery of representations analogous to symbols, essential for complex tasks involving reasoning and interaction.

Key Contributions

The work presents the Neural Expectation Maximization (N-EM) framework, a differentiable clustering method inspired by the Expectation Maximization (EM) framework. N-EM simultaneously learns how to group and represent individual entities. This method is evaluated on tasks requiring perceptual grouping and demonstrates the capability to accurately identify constituent objects in data.

Technical Framework:

  • The authors formalize the problem using a spatial mixture model, with EM enabling the inference of maximum likelihood estimations that serve for the grouping task.
  • They derive a differentiable clustering method, utilizing neural networks to capture statistical regularities in data without supervision.

Generalization through Neural Networks:

  • By parameterizing each component of the mixture model with a neural network, the inherent differentiability is leveraged to develop a trainable model adept in clustering tasks.
  • Through backpropagation, N-EM learns efficient representations, which extend naturally to sequential data.

Strong Numerical Results

The paper highlights the efficacy of N-EM through various experiments. The method attains high Adjusted Mutual Information (AMI) scores, indicating accurate perceptual grouping in synthetic datasets such as static shapes and flying shapes, as well as more complex data like the Flying MNIST. N-EM outperforms related methods like Tagger, particularly in its ability to achieve fine-grained representation using fewer parameters.

Implications for Machine Learning Research

The implications of this research are notable in both practical and theoretical dimensions:

  • Practical Implications: RNN-EM, a recurrent extension, showcases that the learned grouping and representations are robust and beneficial for tasks like next-step prediction. This enhances its applicability in areas where data complexities involve sequential components or dynamic interactions among entities.
  • Theoretical Implications: The study broadens the conceptual scope for unsupervised learning. By incorporating a clustering mechanism based on statistical regularities, this framework establishes a foundation for symbol-like representation learning, potentially beneficial for tempering the binding problem prevalent in disentangled representation learning.

Future Directions

Future research could explore the following dimensions:

  • Applying N-EM to more diverse and complex real-world datasets to further verify its usability and adaptability.
  • Investigating hierarchical extensions or task-conditioned adaptations of N-EM to leverage its unsupervised nature for targeted problem-solving in both semantic and instance segmentation tasks.
  • Further investigations into the integration of top-down feedback and attention mechanisms to enhance the model's contextual and conditional adaptability during task-specific applications.

In conclusion, the Neural Expectation Maximization framework presents a methodologically sound and computationally efficient approach to unsupervised representation learning, showcasing significant promise for applications demanding fine-grained, entity-centric data representation. This research marks advancement in developing scalable and adaptable clustering algorithms that hold potential for wide-ranging applications in artificial intelligence systems necessitating robust and interpretable representations.

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