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Can recurrent neural networks warp time? (1804.11188v1)

Published 23 Mar 2018 in cs.LG, cs.NE, and stat.ML

Abstract: Successful recurrent models such as long short-term memories (LSTMs) and gated recurrent units (GRUs) use ad hoc gating mechanisms. Empirically these models have been found to improve the learning of medium to long term temporal dependencies and to help with vanishing gradient issues. We prove that learnable gates in a recurrent model formally provide quasi- invariance to general time transformations in the input data. We recover part of the LSTM architecture from a simple axiomatic approach. This result leads to a new way of initializing gate biases in LSTMs and GRUs. Ex- perimentally, this new chrono initialization is shown to greatly improve learning of long term dependencies, with minimal implementation effort.

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Authors (2)
  1. Corentin Tallec (16 papers)
  2. Yann Ollivier (37 papers)
Citations (129)

Summary

Can Recurrent Neural Networks Warp Time?

The paper "Can Recurrent Neural Networks Warp Time?" confronts a pivotal topic in the field of neural network architecture, specifically addressing the capabilities of recurrent neural networks (RNNs) in the context of temporal dynamics. The authors delve into the structural intricacies of RNNs to unravel the computational workings behind their temporal transformations.

The paper's central thesis investigates whether RNNs have an inherent ability to effectively transform temporal sequences, akin to a "warping" of time. This exploration is not merely theoretical; it is anchored in robust mathematical formulations and empirical studies. The research systematically builds on foundational RNN architectures, focusing on their temporal representation properties and assessing their efficacy in manipulating time-dependent data sequences.

A key contribution of this paper is the rigorous analysis of RNN architectures, particularly emphasizing Long Short-Term Memory (LSTM) networks and Gated Recurrent Units (GRUs). The research scrutinizes how these architectures can, when appropriately parameterized, perform temporal transformations that potentially alter the intrinsic timing of input data sequences. The detailed exploration includes a model-theoretic approach to understand the precision and limitations with which RNNs can capture dynamic dependencies over time.

Quantitative results are presented with methodological rigor, providing strong evidence that RNNs possess the capability for temporal warping. These results are substantiated by a suite of experiments demonstrating the network's ability to process and predict sequences where timing cues are critical. The evidence is backed by performance metrics that illustrate significant improvements over baseline models. While the paper is cautious not to overstate claims, it presents compelling evidence that RNNs, especially with architectures like LSTM, can achieve sophisticated temporal manipulations.

This research holds substantial implications both in theoretical and practical domains. Theoretically, it calls for a reevaluation of existing concepts regarding the temporal modeling capabilities of neural networks and suggests a framework for enhancing these models to achieve even greater performance. Practically, the findings have potential applications in various fields, such as natural language processing, time-series forecasting, and bioinformatics, where temporal dynamics are a crucial aspect of the problem space.

Moreover, this paper opens avenues for future research in artificial intelligence by questioning the fundamental limits of neural architectures in temporal learning. Future advancements might involve exploring alternative network designs or hybrid models that could surpass the temporal handling capabilities of current RNNs. Additionally, it raises inquisitive prospects about the fusion of conventional RNNs with emerging models such as Transformers, to enhance time-warping capabilities.

In conclusion, the paper makes a significant contribution to the understanding of RNNs in temporal processing tasks. It not only underscores the existing capacities of neural network architectures in dealing with time-dependent data but also sets the stage for future explorations that could further advance temporal modeling in neural networks.