2007

Multi-Dimensional Recurrent Neural Networks

Alex Graves, Santiago Fernandez, Jürgen Schmidhuber

citations

Cite Score

21

AI summary

This paper introduces Multi-Dimensional Recurrent Neural Networks (MDRNNs) to extend RNNs to multi-dimensional data, addressing scaling issues and improving robustness to input warping for tasks like image segmentation, demonstrating effectiveness on Air Freight and MNIST datasets.

Main Contributions

  • Introduces Multi-Dimensional Recurrent Neural Networks (MDRNNs), extending RNNs to n-dimensional data.
  • Develops a multi-directional variant of MDRNNs, providing access to surrounding context in all directions.
  • Proposes a multi-dimensional variant of Long Short-Term Memory (LSTM) RNN architecture for MDRNNs.
  • Tests MDRNNs on two image segmentation tasks: Air Freight database and a modified MNIST digit classification task.
  • Demonstrates that MDRNNs are more robust to input warping than state-of-the-art digit recognition algorithms (convolution networks) on the warped MNIST test set.

Abstract

Recurrent neural networks (RNNs) have proved effective at one di- mensional sequence learning tasks, such as speech and online handwriting recog- nition. Some of the properties that make RNNs suitable for such tasks, for exam- ple robustness to input warping, and the ability to access contextual information, are also desirable in multi-dimensional domains. However, there has so far been no direct way of applying RNNs to data with more than one spatio-temporal dimension. This paper introduces multi-dimensional recurrent neural networks, thereby extending the potential applicability of RNNs to vision, video process- ing, medical imaging and many other areas, while avoiding the scaling problems that have plagued other multi-dimensional models. Experimental results are pro- vided for two image segmentation tasks.

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References [15]

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on February 3, 2026

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