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We study the approximation properties and optimization dynamics of recurrent neural networks (RNNs) when applied to learn input-output relationships in temporal data. We consider the simple but representative setting of using…

Machine Learning · Computer Science 2024-09-02 Zhong Li , Jiequn Han , Weinan E , Qianxiao Li

Recurrent neural networks are a powerful means to cope with time series. We show how autoregressive linear, i.e., linearly activated recurrent neural networks (LRNNs) can approximate any time-dependent function f(t). The approximation can…

Machine Learning · Computer Science 2025-10-01 Frieder Stolzenburg , Sandra Litz , Olivia Michael , Oliver Obst

Ability of deep networks to extract high level features and of recurrent networks to perform time-series inference have been studied. In view of universality of one hidden layer network at approximating functions under weak constraints, the…

Neural and Evolutionary Computing · Computer Science 2014-12-19 Sharat C. Prasad , Piyush Prasad

Many real-world complex systems are characterized by interactions in groups that change in time. Current temporal network approaches, however, are unable to describe group dynamics, as they are based on pairwise interactions only. Here, we…

Physics and Society · Physics 2023-03-17 Luca Gallo , Lucas Lacasa , Vito Latora , Federico Battiston

Long short-term memory (LSTM) based acoustic modeling methods have recently been shown to give state-of-the-art performance on some speech recognition tasks. To achieve a further performance improvement, in this research, deep extensions on…

Computation and Language · Computer Science 2015-05-12 Xiangang Li , Xihong Wu

We study the expressive power of positive neural networks. The model uses positive connection weights and multiple input neurons. Different behaviors can be expressed by varying the connection weights. We show that in discrete time, and in…

Neural and Evolutionary Computing · Computer Science 2015-12-02 Tom J. Ameloot , Jan Van den Bussche

The key component in forecasting demand and consumption of resources in a supply network is an accurate prediction of real-valued time series. Indeed, both service interruptions and resource waste can be reduced with the implementation of…

Neural and Evolutionary Computing · Computer Science 2018-07-24 Filippo Maria Bianchi , Enrico Maiorino , Michael C. Kampffmeyer , Antonello Rizzi , Robert Jenssen

With deep learning approaches becoming state-of-the-art in many speech (as well as non-speech) related machine learning tasks, efforts are being taken to delve into the neural networks which are often considered as a black box. In this…

Machine Learning · Computer Science 2018-08-27 Jeroen Zegers , Hugo Van hamme

We investigate time-dependent data analysis from the perspective of recurrent kernel machines, from which models with hidden units and gated memory cells arise naturally. By considering dynamic gating of the memory cell, a model closely…

Machine Learning · Statistics 2019-10-11 Kevin J Liang , Guoyin Wang , Yitong Li , Ricardo Henao , Lawrence Carin

This paper presents a scalable deep learning approach for short-term traffic prediction based on historical traffic data in a vehicular road network. Capturing the spatio-temporal relationship of the big data often requires a significant…

Machine Learning · Computer Science 2021-03-04 Youngjoo Kim , Peng Wang , Lyudmila Mihaylova

Recurrent neural networks (RNNs) are capable of learning features and long term dependencies from sequential and time-series data. The RNNs have a stack of non-linear units where at least one connection between units forms a directed cycle.…

Neural and Evolutionary Computing · Computer Science 2018-02-26 Hojjat Salehinejad , Sharan Sankar , Joseph Barfett , Errol Colak , Shahrokh Valaee

Long short-term memory (LSTM) recurrent neural networks (RNNs) have been shown to give state-of-the-art performance on many speech recognition tasks, as they are able to provide the learned dynamically changing contextual window of all…

Computation and Language · Computer Science 2016-10-12 Xiangang Li , Xihong Wu

The long short-term memory (LSTM) neural network is capable of processing complex sequential information since it utilizes special gating schemes for learning representations from long input sequences. It has the potential to model any…

Computer Vision and Pattern Recognition · Computer Science 2015-04-28 Vivek Veeriah , Naifan Zhuang , Guo-Jun Qi

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

The formation of network structure is mainly influenced by an individual node's activity and its memory, where activity can usually be interpreted as the individual inherent property and memory can be represented by the interaction strength…

Physics and Society · Physics 2015-12-15 Hyewon Kim , Meesoon Ha , Hawoong Jeong

There has been an increasing interest in modeling continuous-time dynamics of temporal graph data. Previous methods encode time-evolving relational information into a low-dimensional representation by specifying discrete layers of neural…

Machine Learning · Computer Science 2022-06-01 Jin Guo , Zhen Han , Zhou Su , Jiliang Li , Volker Tresp , Yuyi Wang

We consider arbitrary bounded discrete time series originating from dynamical system with recursivity. More precisely, we provide an explicit construction of recurrent neural networks which effectively approximate the corresponding discrete…

Machine Learning · Computer Science 2024-10-01 Chikara Nakayama , Tsuyoshi Yoneda

Neural networks rely on learning synaptic weights. However, this overlooks other neural parameters that can also be learned and may be utilized by the brain. One such parameter is the delay: the brain exhibits complex temporal dynamics with…

Neural and Evolutionary Computing · Computer Science 2025-11-03 Pengfei Sun , Jascha Achterberg , Zhe Su , Dan F. M. Goodman , Danyal Akarca

Recurrent Networks are one of the most powerful and promising artificial neural network algorithms to processing the sequential data such as natural languages, sound, time series data. Unlike traditional feed-forward network, Recurrent…

Machine Learning · Computer Science 2018-07-11 Pushparaja Murugan

In this paper, we present a recurrent neural system named Long Short-term Cognitive Networks (LSTCNs) as a generalization of the Short-term Cognitive Network (STCN) model. Such a generalization is motivated by the difficulty of forecasting…

Machine Learning · Computer Science 2021-09-20 Gonzalo Nápoles , Isel Grau , Agnieszka Jastrzebska , Yamisleydi Salgueiro