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Recurrent neural networks (RNNs) have drawn interest from machine learning researchers because of their effectiveness at preserving past inputs for time-varying data processing tasks. To understand the success and limitations of RNNs, it is…

Information Theory · Computer Science 2017-01-30 Adam Charles , Dong Yin , Christopher Rozell

Recurrent neural networks are a widely used class of neural architectures. They have, however, two shortcomings. First, they are often treated as black-box models and as such it is difficult to understand what exactly they learn as well as…

Machine Learning · Computer Science 2022-12-13 Cheng Wang , Carolin Lawrence , Mathias Niepert

Recurrent neural networks (RNNs) are the state of the art in sequence modeling for natural language. However, it remains poorly understood what grammatical characteristics of natural language they implicitly learn and represent as a…

Computation and Language · Computer Science 2018-09-06 Richard Futrell , Ethan Wilcox , Takashi Morita , Roger Levy

Echo State Networks (ESNs) are a special type of recurrent neural networks (RNNs), in which the input and recurrent connections are traditionally generated randomly, and only the output weights are trained. Despite the recent success of…

Machine Learning · Computer Science 2022-05-11 Peter Steiner , Azarakhsh Jalalvand , Peter Birkholz

We introduce an exceptionally simple gated recurrent neural network (RNN) that achieves performance comparable to well-known gated architectures, such as LSTMs and GRUs, on the word-level language modeling task. We prove that our model has…

Neural and Evolutionary Computing · Computer Science 2016-12-20 Thomas Laurent , James von Brecht

In this paper we investigate continuous speech recognition using electroencephalography (EEG) features using recently introduced end-to-end transformer based automatic speech recognition (ASR) model. Our results demonstrate that transformer…

Audio and Speech Processing · Electrical Eng. & Systems 2020-05-06 Gautam Krishna , Co Tran , Mason Carnahan , Ahmed H Tewfik

Transformers are highly parallel but are limited to computations in the TC$^0$ complexity class, excluding tasks such as entity tracking and code execution that provably require greater expressive power. Motivated by this limitation, we…

Machine Learning · Computer Science 2026-05-15 Mayank Mishra , Shawn Tan , Ion Stoica , Joseph Gonzalez , Tri Dao

Many natural and physical processes can be understood by analyzing multiple system variables evolving, forming a multivariate time series. Predicting such time series is challenging due to the inherent noise and interdependencies among…

Chaotic Dynamics · Physics 2025-12-11 S. Hariharan , R. Suresh , V. K. Chandrasekar

We propose a simple yet robust stochastic answer network (SAN) that simulates multi-step reasoning in machine reading comprehension. Compared to previous work such as ReasoNet which used reinforcement learning to determine the number of…

Computation and Language · Computer Science 2018-05-16 Xiaodong Liu , Yelong Shen , Kevin Duh , Jianfeng Gao

A particular case of Recurrent Neural Network (RNN) was introduced at the beginning of the 2000s under the name of Echo State Networks (ESNs). The ESN model overcomes the limitations during the training of the RNNs while introducing no…

Machine Learning · Computer Science 2015-01-06 Sebastián Basterrech

How to obtain hierarchical representations with an increasing level of abstraction becomes one of the key issues of learning with deep neural networks. A variety of RNN models have recently been proposed to incorporate both explicit and…

Computation and Language · Computer Science 2022-01-25 Zhaoxin Luo , Michael Zhu

A recurrent neural network (RNN) possesses the echo state property (ESP) if, for a given input sequence, it ``forgets'' any internal states of the driven (nonautonomous) system and asymptotically follows a unique, possibly complex…

Dynamical Systems · Mathematics 2020-06-26 Andrea Ceni , Peter Ashwin , Lorenzo Livi , Claire Postlethwaite

Echo state network (ESN), a kind of recurrent neural networks, consists of a fixed reservoir in which neurons are connected randomly and recursively and obtains the desired output only by training output connection weights. First-order…

Machine Learning · Computer Science 2024-01-22 Yansong Li , Kai Hu , Kohei Nakajima , Yongping Pan

An approach to the time-accurate prediction of chaotic solutions is by learning temporal patterns from data. Echo State Networks (ESNs), which are a class of Reservoir Computing, can accurately predict the chaotic dynamics well beyond the…

Machine Learning · Computer Science 2021-03-16 Alberto Racca , Luca Magri

Echo State Networks (ESN) are versatile recurrent neural network models in which the hidden layer remains unaltered during training. Interactions among nodes of this static backbone produce diverse representations of the given stimuli that…

Machine Learning · Computer Science 2022-05-25 Kayson Fakhar , Fatemeh Hadaeghi , Claus C. Hilgetag

Echo State Networks (ESNs) are recurrent neural networks that only train their output layer, thereby precluding the need to backpropagate gradients through time, which leads to significant computational gains. Nevertheless, a common issue…

Neural and Evolutionary Computing · Computer Science 2019-03-13 Jacob Reinier Maat , Nikos Gianniotis , Pavlos Protopapas

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

We propose a neural language model capable of unsupervised syntactic structure induction. The model leverages the structure information to form better semantic representations and better language modeling. Standard recurrent neural networks…

Computation and Language · Computer Science 2018-02-20 Yikang Shen , Zhouhan Lin , Chin-Wei Huang , Aaron Courville

Echo State Networks are efficient time-series predictors, which highly depend on the value of the spectral radius of the reservoir connectivity matrix. Based on recent results on the mean field theory of driven random recurrent neural…

Chaotic Dynamics · Physics 2015-05-26 Mathieu Galtier , Gilles Wainrib

Memory-augmented neural networks equip a recurrent neural network with an explicit memory to support tasks that require information storage without interference over long times. A key motivation for such research is to perform classic…

Neural and Evolutionary Computing · Computer Science 2021-07-27 Benjamin Paaßen , Alexander Schulz , Barbara Hammer