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It is widely accepted that the complex dynamics characteristic of recurrent neural circuits contributes in a fundamental manner to brain function. Progress has been slow in understanding and exploiting the computational power of recurrent…

Chaotic Dynamics · Physics 2013-07-18 Rodrigo Laje , Dean V. Buonomano

This study investigates the learnability of Recurrent Neural Networks (RNNs) in classifying structured formal languages, focusing on counter and Dyck languages. Traditionally, both first-order (LSTM) and second-order (O2RNN) RNNs have been…

Computation and Language · Computer Science 2024-10-07 Neisarg Dave , Daniel Kifer , Lee Giles , Ankur Mali

During the last couple of years, Recurrent Neural Networks (RNN) have reached state-of-the-art performances on most of the sequence modelling problems. In particular, the "sequence to sequence" model and the neural CRF have proved to be…

Computation and Language · Computer Science 2019-04-17 Marco Dinarelli , Loïc Grobol

Recurrent Neural Networks (RNNs) are becoming increasingly important for time series-related applications which require efficient and real-time implementations. The two major types are Long Short-Term Memory (LSTM) and Gated Recurrent Unit…

Computer Vision and Pattern Recognition · Computer Science 2018-12-19 Zhe Li , Caiwen Ding , Siyue Wang , Wujie Wen , Youwei Zhuo , Chang Liu , Qinru Qiu , Wenyao Xu , Xue Lin , Xuehai Qian , Yanzhi Wang

Recurrent Neural Network (RNN) has been widely applied for sequence modeling. In RNN, the hidden states at current step are full connected to those at previous step, thus the influence from less related features at previous step may…

Computation and Language · Computer Science 2017-05-04 Danhao Zhu , Si Shen , Xin-Yu Dai , Jiajun Chen

Recurrent Neural Networks (RNNs) with Long Short-Term Memory units (LSTM) are widely used because they are expressive and are easy to train. Our interest lies in empirically evaluating the expressiveness and the learnability of LSTMs in the…

Neural and Evolutionary Computing · Computer Science 2015-11-24 Wojciech Zaremba , Ilya Sutskever

The existence of instabilities, for example in the form of adversarial examples, has given rise to a highly active area of research concerning itself with understanding and enhancing the stability of neural networks. We focus on a popular…

Numerical Analysis · Mathematics 2025-10-28 Matthias J. Ehrhardt , Davide Murari , Ferdia Sherry

Recurrent neural networks (RNNs) provide state-of-the-art performance in processing sequential data but are memory intensive to train, limiting the flexibility of RNN models which can be trained. Reversible RNNs---RNNs for which the…

Machine Learning · Computer Science 2018-10-26 Matthew MacKay , Paul Vicol , Jimmy Ba , Roger Grosse

Recurrent neural networks have gained widespread use in modeling sequence data across various domains. While many successful recurrent architectures employ a notion of gating, the exact mechanism that enables such remarkable performance is…

Machine Learning · Statistics 2018-08-16 Minmin Chen , Jeffrey Pennington , Samuel S. Schoenholz

Data are often sampled irregularly in time. Dealing with this using Recurrent Neural Networks (RNNs) traditionally involved ignoring the fact, feeding the time differences as additional inputs, or resampling the data. All these methods have…

Machine Learning · Computer Science 2024-07-03 Mantas Lukoševičius , Arnas Uselis

Multiple extensions of Recurrent Neural Networks (RNNs) have been proposed recently to address the difficulty of storing information over long time periods. In this paper, we experiment with the capacity of Neural Turing Machines (NTMs) to…

Machine Learning · Computer Science 2016-12-05 Tristan Deleu , Joseph Dureau

Long Short-Term Memory Recurrent Neural Networks (LSTM-RNN) are one of the most powerful dynamic classifiers publicly known. The network itself and the related learning algorithms are reasonably well documented to get an idea how it works.…

Neural and Evolutionary Computing · Computer Science 2019-09-23 Ralf C. Staudemeyer , Eric Rothstein Morris

Stability of recurrent models is closely linked with trainability, generalizability and in some applications, safety. Methods that train stable recurrent neural networks, however, do so at a significant cost to expressibility. We propose an…

Machine Learning · Computer Science 2019-12-24 Max Revay , Ian R. Manchester

Recurrent spiking neural networks (RSNNs) are notoriously difficult to train because of the vanishing gradient problem that is enhanced by the binary nature of the spikes. In this paper, we review the ability of the current state-of-the-art…

Neural and Evolutionary Computing · Computer Science 2023-10-31 Ismael Balafrej , Fabien Alibart , Jean Rouat

Viewing recurrent neural networks (RNNs) as continuous-time dynamical systems, we propose a recurrent unit that describes the hidden state's evolution with two parts: a well-understood linear component plus a Lipschitz nonlinearity. This…

Machine Learning · Computer Science 2021-04-27 N. Benjamin Erichson , Omri Azencot , Alejandro Queiruga , Liam Hodgkinson , Michael W. Mahoney

We describe recurrent neural networks (RNNs), which have attracted great attention on sequential tasks, such as handwriting recognition, speech recognition and image to text. However, compared to general feedforward neural networks, RNNs…

Machine Learning · Computer Science 2018-01-16 Gang Chen

Recurrent neural networks (RNNs) are powerful models for processing time-series data, but it remains challenging to understand how they function. Improving this understanding is of substantial interest to both the machine learning and…

Machine Learning · Computer Science 2021-11-03 Jimmy T. H. Smith , Scott W. Linderman , David Sussillo

Detecting structure in noisy time series is a difficult task. One intuitive feature is the notion of trend. From theoretical hints and using simulated time series, we empirically investigate the efficiency of standard recurrent neural…

Machine Learning · Computer Science 2021-10-22 Alexandre Miot , Gilles Drigout

Recursive Neural Networks (RvNNs), which compose sequences according to their underlying hierarchical syntactic structure, have performed well in several natural language processing tasks compared to similar models without structural…

Computation and Language · Computer Science 2021-06-14 Jishnu Ray Chowdhury , Cornelia Caragea

In the domain of sequence modelling, Recurrent Neural Networks (RNN) have been capable of achieving impressive results in a variety of application areas including visual question answering, part-of-speech tagging and machine translation.…

Machine Learning · Computer Science 2018-05-22 Tharindu Fernando , Simon Denman , Aaron McFadyen , Sridha Sridharan , Clinton Fookes