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Trellis Networks for Sequence Modeling (1810.06682v2)

Published 15 Oct 2018 in cs.LG, cs.AI, cs.CL, and stat.ML

Abstract: We present trellis networks, a new architecture for sequence modeling. On the one hand, a trellis network is a temporal convolutional network with special structure, characterized by weight tying across depth and direct injection of the input into deep layers. On the other hand, we show that truncated recurrent networks are equivalent to trellis networks with special sparsity structure in their weight matrices. Thus trellis networks with general weight matrices generalize truncated recurrent networks. We leverage these connections to design high-performing trellis networks that absorb structural and algorithmic elements from both recurrent and convolutional models. Experiments demonstrate that trellis networks outperform the current state of the art methods on a variety of challenging benchmarks, including word-level LLMing and character-level LLMing tasks, and stress tests designed to evaluate long-term memory retention. The code is available at https://github.com/locuslab/trellisnet .

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Summary

  • The paper introduces Trellis Networks as a novel sequence modeling architecture that bridges traditional RNN and TCN approaches.
  • It employs weight tying across layers and direct input injection to effectively model complex temporal dependencies.
  • Empirical results on benchmarks like PTB and WikiText-103 validate its performance with state-of-the-art metrics.

Trellis Networks for Sequence Modeling: An Overview

The paper introduces Trellis Networks, a novel architecture designed for sequence modeling tasks. These networks serve as a bridge between traditional recurrent networks (RNNs) and temporal convolutional networks (TCNs), aiming to leverage the strengths of both approaches. The work reflects a significant contribution to the understanding and application of sequence modeling architectures, providing strong empirical results across multiple benchmarks.

Key Concepts and Architecture

Trellis Networks are distinct in their design, functioning primarily as a temporal convolutional network with unique structural adaptations. They feature weight tying across layers and direct input injection into every network layer. This structure not only simplifies the network but also enhances its ability to model complex temporal dependencies. The architecture extends the concept of convolutional networks' receptive fields by tying weights, fostering parameter sharing across both time and depth dimensions. This helps in maintaining a consistent and robust embedding throughout the network's layers.

Theoretical Connections

The authors establish a theoretical equivalence between Trellis Networks and truncated RNNs, demonstrating that the latter can be viewed as a special case with sparsely structured weight matrices. This insight offers a unified perspective that combines the feed-forward nature of convolutional models with the expressive power of recurrent architectures. The paper thoroughly explores these relationships, suggesting that Trellis Networks can incorporate various algorithmic and architectural features from both RNNs and TCNs.

Empirical Results

Trellis Networks exhibit superior performance on several key benchmarks. They outperform state-of-the-art models on tasks such as word-level and character-level LLMing on the Penn Treebank (PTB) dataset, as well as on the large-scale WikiText-103 dataset. Notably, Trellis Networks achieved a perplexity of 56.97 on word-level PTB and 1.158 bits-per-character on character-level PTB, setting new records for these tasks. Furthermore, they exhibit strong performance on long-range dependency tasks like sequential and permuted MNIST and CIFAR-10, indicating their robustness in handling complex sequence modeling challenges.

Implications and Future Directions

The implications of this research extend both practically and theoretically. On the practical side, Trellis Networks provide a more efficient and potentially more accurate approach to sequence modeling, applicable to diverse domains such as natural language processing and time-series analysis. Theoretically, they propose a conceptual bridge between existing sequence modeling paradigms, opening pathways for further exploration into unified models that effectively harness multiple architectural styles.

Future directions may include optimizing Trellis Networks for different tasks, exploring more advanced activation functions via architecture search, and perhaps most intriguingly, investigating potential bridges between Trellis Networks and self-attention mechanisms such as Transformers. Such explorations could lead to even more comprehensive and powerful sequence modeling architectures.

The paper offers substantial contributions by empirically validating the architecture's efficacy and theoretically unifying key aspects of sequence modeling frameworks. Through rigorous experimentation and insightful theoretical analysis, Trellis Networks emerge as a promising advancement in the field.

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