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Minimal Gated Unit for Recurrent Neural Networks

Guo-Bing Zhou, Jianxin Wu, Chen-Lin Zhang, Zhi-Hua Zhou

arXiv:1603.09420v1cs.NEcs.LG

TL;DR

The paper addresses the difficulty of understanding and selecting among complex, competing RNN hidden units. It proposes MGU, a one-gate gated unit, and reports comparable accuracy with GRU alongside fewer parameters and faster training. The authors present MGU as a simpler alternative rather than a definitively better RNN model.

  • Problem

    Complex and competing RNN structures make the field's understanding, theoretical analysis, and architectural consensus difficult.

  • Method

    The paper proposes the Minimal Gated Unit, a GRU/LSTM variant with one forget gate and no peephole connection.

  • Results

    MGU achieves accuracy comparable with GRU, uses two thirds of GRU's parameters, and trains faster than GRU across the evaluated datasets.

  • Takeaways & Limitations

    MGU is presented as an attractive RNN hidden-unit alternative whose minimal design may reduce memory footprint and training time and facilitate analysis.

  • Takeaways & Limitations

    The paper does not claim MGU is a better RNN model and notes that conclusive comparisons require comprehensive benchmark datasets and evaluation criteria.

Abstract

from arXiv · show

Recently recurrent neural networks (RNN) has been very successful in handling sequence data. However, understanding RNN and finding the best practices for RNN is a difficult task, partly because there are many competing and complex hidden units (such as LSTM and GRU). We propose a gated unit for RNN, named as Minimal Gated Unit (MGU), since it only contains one gate, which is a minimal design among all gated hidden units. The design of MGU benefits from evaluation results on LSTM and GRU in the literature. Experiments on various sequence data show that MGU has comparable accuracy with GRU, but has a simpler structure, fewer parameters, and faster training. Hence, MGU is suitable in RNN's applications. Its simple architecture also means that it is easier to evaluate and tune, and in principle it is easier to study MGU's properties theoretically and empirically.

1. Introduction

RNNs handle sequence data successfully, but their complex and competing hidden-unit designs make understanding, tuning, and consensus difficult. MGU addresses this by minimizing the gated-unit structure while aiming to preserve accuracy and reduce training demands.

  • Motivation: RNN understanding remains less settled than CNN design because unrolling complicates visualization and competing hidden-unit structures complicate consensus.LSTM exemplifies this difficulty with three gates and two hidden states, while proposed variants continue to alter the architecture.
  • Motivation: More gates increase parameters and tuning components, but evaluations found that additional gates do not necessarily improve accuracy.GRU usually achieves higher accuracy than LSTM despite having one fewer gate and hidden state.
  • Contribution: MGU is a GRU/LSTM variant with the smallest possible gated-unit design: only one gate.The paper names this one-gate architecture the Minimal Gated Unit.
  • Results: Experiments on diverse sequence data found that MGU has accuracy comparable with GRU and trains faster because of its simpler design.The paper presents these results as evidence that fewer gates can reduce complexity without necessarily reducing accuracy.
  • Scope: The paper explicitly does not claim that MGU is a better RNN model, and notes that conclusive model comparisons require comprehensive benchmark datasets and evaluation criteria.This frames MGU as a simplification rather than a definitive winner.
  • Contribution: MGU is intended to reduce training-data requirements, architecture tuning, and CPU time while maintaining accuracy.The paper presents this simpler structure as potentially useful in varied RNN applications.

2. RNN: LSTM, GRU, and More

The section reviews simple RNNs, LSTMs, GRUs, and related variants, emphasizing how gated architectures address sequence-learning difficulties while increasing structural complexity. Prior evaluations motivate using GRU as the baseline for the proposed MGU.

  • Simple RNN: Simple RNNs update a hidden state through a nonlinear mapping from the previous hidden state and current input.The recurrent unit is typically a linear transformation followed by a nonlinear activation such as tanh.
  • LSTM: LSTM introduces gates that control information flow and an additional cell state to help maintain long-term memories.Its forget, input, and output gates determine what is retained, added, and exposed as the hidden state.
  • LSTM: Coupling LSTM’s forget and input gates removes one gate and its parameters, reducing computational complexity and slightly increasing accuracy.The coupled-gate variant also suggests that simplifying LSTM components can preserve or improve performance.
  • GRU: GRU further simplifies LSTM-like units by using update and reset gates, removing the output gate and the separate slowly changing cell state.The update gate has a role similar to LSTM’s forget gate, while the reset gate loosely matches its input gate.
  • Comparative evaluation: When LSTM and GRU have the same number of parameters, GRU slightly outperforms LSTM, supporting its selection as the baseline.The paper characterizes GRU as relatively compact, stable, and usually among the most accurate models.
  • Other RNN variants: Other approaches include SCRN, IRNN, and architectural variants, but their reported advantages are conditional or inconsistent across evaluations.SCRN uses a slowly changing context vector, IRNN relies on identity initialization and ReLU, and tested GRU variants do not consistently outperform GRU.

3. Minimal Gated Unit

The paper proposes MGU by retaining one forget gate, guided by evaluations suggesting gated units are important, the forget gate is central, and simplification can preserve accuracy. MGU couples GRU’s reset and update gates, reducing parameters and tuning complexity while retaining the gradient-handling benefits attributed to the forget gate.

  • Design rationale: Prior evaluations found gated units outperform ungated tanh RNNs, while the forget gate was considered critical and simplified models could maintain comparable accuracy.The reviewed evaluations did not fully agree on the importance of the output gate, partly because they used data with different properties.
  • Minimal Gated Unit: MGU uses the smallest possible number of gates: one forget gate formed by coupling GRU’s reset gate to its update gate.The paper bases this choice on GRU and treats its sole gate as a forget gate, denoting it f rather than z.
  • Minimal Gated Unit: MGU computes its forget gate first, combines the retained previous hidden state with the input, and uses the gate again when forming the new hidden state.The resulting intermediate quantity is the short-term response, and a gate-determined portion contributes to the second part of the hidden state.
  • Complexity: MGU has two parameter sets versus four for LSTM and three for GRU, amounting to roughly half LSTM’s parameters and 67% of GRU’s.The two MGU sets calculate the forget gate and the candidate hidden state, respectively.
  • Implications: The paper argues that MGU avoids gradient vanishing or exploding on sequences through its forget gate and is easier to tune because it has fewer factors.These claims are presented as outcomes to be demonstrated by experiments on varied sequence data.

4. Experimental Results

Across four sequence tasks, MGU is evaluated against GRU using test performance, training time, and hidden-unit parameter counts. MGU generally matches GRU accuracy while using fewer parameters and training faster, although GRU has advantages on some PTB comparisons.

  • Experimental setup: MGU and GRU are compared across adding, IMDB, MNIST, and PTB tasks using test metrics, per-epoch running time, and hidden-unit parameter counts.The experiments omit dropout and model averaging, and use GRU as the baseline with equal hidden-unit counts unless otherwise specified.
  • The Adding Problem: After 1,000 epochs, adding-problem mean squared error is 0.0041 for GRU and 0.0045 for MGU, while MGU uses 41,400 versus 62,000 parameters and trains in 6.85 versus 8.60 seconds per epoch.After 100 epochs, the two methods have almost indistinguishable results.
  • IMDB: After convergence on IMDB, MGU reaches 62.6% accuracy versus GRU’s 61.8%, with 20,400 versus 30,600 parameters and 5.0 versus 14.1 seconds per epoch.MGU consistently outperforms GRU by a small margin in this example, corresponding to a 1.3% relative improvement.
  • MNIST: After 16,000 epochs on MNIST, MGU reaches 88.07% accuracy versus GRU’s 87.53%, using 25,800 versus 38,700 parameters and 158 versus 182 seconds per epoch.GRU is slightly better during the first 1,000 epochs, but MGU is more accurate thereafter until convergence.
  • Penn TreeBank: On PTB with 500 hidden units, GRU reaches test perplexity 101.64 versus MGU’s 105.59, while MGU trains faster and has about one third fewer parameters.With roughly matched parameter counts, the test-set perplexities are 102.33 for GRU and 105.89 for MGU; equal-time comparisons favor MGU’s faster training.

5. Conclusions and Future Work

MGU uses a minimal one-gate design that matches GRU accuracy while reducing parameters and training time. Its simplicity may support practical RNN use and future theoretical or empirical analysis, though further evaluation remains planned.

  • MGU has one gate and uses fewer parameters than LSTM and GRU while achieving comparable accuracy with GRU.Its parameter count is half of LSTM's and two thirds of GRU's.
  • MGU trains faster than GRU because of its minimal design.The conclusion explicitly attributes the faster training to MGU's minimal design.
  • MGU could reduce memory footprint and training time when used as an RNN hidden unit in some applications.The paper presents this as a possible practical use based on its evaluations.
  • Its minimal structure is intended to facilitate theoretical analysis and empirical observation of RNN models.The paper gives visualization as an example of empirical observation.
  • Future work includes testing MGU for more epochs and on more diverse, complex tasks, and regularizing it to improve accuracy.
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