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State-space models (SSMs) are a class of networks for sequence learning that benefit from fixed state size and linear complexity with respect to sequence length, contrasting the quadratic scaling of typical attention mechanisms. Inspired…

Machine Learning · Computer Science 2025-10-02 Jared Boyer , T. Konstantin Rusch , Daniela Rus

Sequence models, and particularly Linear Recurrent Neural Networks (LRNNs) of the form $\mathbf{h}_{k+1} = \mathbf{W} \mathbf{h}_{k} + \mathbf{y}_k + \mathbf{b}$, are widely applicable in time-series analysis for dynamical systems, yet, as…

Dynamical Systems · Mathematics 2026-05-27 Fisher Ng , J. Nathan Kutz

Recurrent neural networks (RNNs) are a vital modeling technique that rely on internal states learned indirectly by optimization of a supervised, unsupervised, or reinforcement training loss. RNNs are used to model dynamic processes that are…

Recurrent Neural Networks (RNNs), and specifically a variant with Long Short-Term Memory (LSTM), are enjoying renewed interest as a result of successful applications in a wide range of machine learning problems that involve sequential data.…

Machine Learning · Computer Science 2015-11-18 Andrej Karpathy , Justin Johnson , Li Fei-Fei

Recurrent Neural Networks (RNNs) are very successful at solving challenging problems with sequential data. However, this observed efficiency is not yet entirely explained by theory. It is known that a certain class of multiplicative RNNs…

Machine Learning · Computer Science 2019-01-31 Valentin Khrulkov , Oleksii Hrinchuk , Ivan Oseledets

Recurrent Neural Networks (RNNs) and their variants, such as Long-Short Term Memory (LSTM) networks, and Gated Recurrent Unit (GRU) networks, have achieved promising performance in sequential data modeling. The hidden layers in RNNs can be…

Computer Vision and Pattern Recognition · Computer Science 2018-11-20 Yu Pan , Jing Xu , Maolin Wang , Jinmian Ye , Fei Wang , Kun Bai , Zenglin Xu

Multivariate time series forecasting is an important machine learning problem across many domains, including predictions of solar plant energy output, electricity consumption, and traffic jam situation. Temporal data arise in these…

Machine Learning · Computer Science 2018-04-20 Guokun Lai , Wei-Cheng Chang , Yiming Yang , Hanxiao Liu

Text classification is a fundamental task in natural language processing (NLP). Several recent studies show the success of deep learning on text processing. Convolutional neural network (CNN), as a popular deep learning model, has shown…

Computation and Language · Computer Science 2023-01-30 Ali Jarrahi , Ramin Mousa , Leila Safari

This review aims to conduct a comparative analysis of liquid neural networks (LNNs) and traditional recurrent neural networks (RNNs) and their variants, such as long short-term memory networks (LSTMs) and gated recurrent units (GRUs). The…

Machine Learning · Computer Science 2025-10-10 Shilong Zong , Alex Bierly , Almuatazbellah Boker , Hoda Eldardiry

The prevalent approach to sequence to sequence learning maps an input sequence to a variable length output sequence via recurrent neural networks. We introduce an architecture based entirely on convolutional neural networks. Compared to…

Computation and Language · Computer Science 2017-07-26 Jonas Gehring , Michael Auli , David Grangier , Denis Yarats , Yann N. Dauphin

Recurrent neural networks (RNNs) have led to breakthroughs in natural language processing and speech recognition, wherein hundreds of millions of people use such tools on a daily basis through smartphones, email servers and other avenues.…

Disordered Systems and Neural Networks · Physics 2020-12-02 Sun-Ting Tsai , En-Jui Kuo , Pratyush Tiwary

A key attribute that drives the unprecedented success of modern Recurrent Neural Networks (RNNs) on learning tasks which involve sequential data, is their ability to model intricate long-term temporal dependencies. However, a well…

Machine Learning · Computer Science 2018-06-07 Yoav Levine , Or Sharir , Alon Ziv , Amnon Shashua

Echo State Networks (ESNs) are a particular type of untrained Recurrent Neural Networks (RNNs) within the Reservoir Computing (RC) framework, popular for their fast and efficient learning. However, traditional ESNs often struggle with…

Machine Learning · Computer Science 2026-01-30 Matteo Pinna , Andrea Ceni , Claudio Gallicchio

Learning useful information across long time lags is a critical and difficult problem for temporal neural models in tasks such as language modeling. Existing architectures that address the issue are often complex and costly to train. The…

Computation and Language · Computer Science 2017-07-18 Alexander G. Ororbia , Tomas Mikolov , David Reitter

Deep neural networks have recently been shown to achieve highly competitive performance in many computer vision tasks due to their abilities of exploring in a much larger hypothesis space. However, since most deep architectures like stacked…

Computation and Language · Computer Science 2018-02-06 Zixiang Ding , Rui Xia , Jianfei Yu , Xiang Li , Jian Yang

Deep learning has gained much success in sentence-level relation classification. For example, convolutional neural networks (CNN) have delivered competitive performance without much effort on feature engineering as the conventional…

Computation and Language · Computer Science 2015-12-29 Dongxu Zhang , Dong Wang

Recurrent Neural Networks (RNN), Long Short-Term Memory Networks (LSTM), and Memory Networks which contain memory are popularly used to learn patterns in sequential data. Sequential data has long sequences that hold relationships. RNN can…

Computation and Language · Computer Science 2019-04-22 Anupiya Nugaliyadde , Kok Wai Wong , Ferdous Sohel , Hong Xie

Sequence modeling is currently dominated by causal transformer architectures that use softmax self-attention. Although widely adopted, transformers require scaling memory and compute linearly during inference. A recent stream of work…

Long Short-Term Memory (LSTM) is a popular approach to boosting the ability of Recurrent Neural Networks to store longer term temporal information. The capacity of an LSTM network can be increased by widening and adding layers. However,…

Machine Learning · Statistics 2017-12-14 Zhen He , Shaobing Gao , Liang Xiao , Daxue Liu , Hangen He , David Barber

Recently, there has been interest in multiplicative recurrent neural networks for language modeling. Indeed, simple Recurrent Neural Networks (RNNs) encounter difficulties recovering from past mistakes when generating sequences due to high…

Machine Learning · Computer Science 2019-07-02 Diego Maupomé , Marie-Jean Meurs