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Time series modeling is a well-established problem, which often requires that methods (1) expressively represent complicated dependencies, (2) forecast long horizons, and (3) efficiently train over long sequences. State-space models (SSMs)…

Machine Learning · Computer Science 2023-03-17 Michael Zhang , Khaled K. Saab , Michael Poli , Tri Dao , Karan Goel , Christopher Ré

For recurrent neural networks trained on time series with target and exogenous variables, in addition to accurate prediction, it is also desired to provide interpretable insights into the data. In this paper, we explore the structure of…

Machine Learning · Computer Science 2019-05-30 Tian Guo , Tao Lin , Nino Antulov-Fantulin

Machine learning methods trained on raw numerical time series data exhibit fundamental limitations such as a high sensitivity to the hyper parameters and even to the initialization of random weights. A combination of a recurrent neural…

Machine Learning · Computer Science 2020-03-13 Steven Elsworth , Stefan Güttel

Radiation therapy of thoracic and abdominal tumors requires incorporating the respiratory motion into treatments. To precisely account for the patient respiratory motions and predict the respiratory signals, a generalized model for…

Medical Physics · Physics 2019-05-22 Hui Lin , Chengyu Shi , Brian Wang , Maria F. Chan , Xiaoli Tang , Wei Ji

Spatial transformer network has been used in a layered form in conjunction with a convolutional network to enable the model to transform data spatially. In this paper, we propose a combined spatial transformer network (STN) and a Long…

Image and Video Processing · Electrical Eng. & Systems 2019-09-02 Shiyang Feng , Tianyue Chen , Hao Sun

Accurate and efficient models for rainfall runoff (RR) simulations are crucial for flood risk management. Most rainfall models in use today are process-driven; i.e. they solve either simplified empirical formulas or some variation of the…

Signal Processing · Electrical Eng. & Systems 2020-06-15 Wei Li , Amin Kiaghadi , Clint N. Dawson

Uncertainty propagation in high-dimensional nonlinear dynamic structural systems is pivotal in state-of-the-art performance-based design and risk assessment, where uncertainties from both excitations and structures, i.e., the aleatoric…

Machine Learning · Computer Science 2026-04-03 Manisha Sapkota , Min Li , Bowei Li

Bidirectional Long Short-Term Memory (LSTM) is a special kind of Recurrent Neural Network (RNN) architecture which is designed to model sequences and their long-range dependencies more precisely than RNNs. This paper proposes to use deep…

Machine Learning · Computer Science 2020-04-07 Neda Tavakoli

The forecasting and computation of the stability of chaotic systems from partial observations are tasks for which traditional equation-based methods may not be suitable. In this computational paper, we propose data-driven methods to (i)…

Adaptation and Self-Organizing Systems · Physics 2023-09-26 Elise Özalp , Georgios Margazoglou , Luca Magri

Long short-term memory (LSTM) models are a particular type of recurrent neural networks (RNNs) that are central to sequential modeling tasks in domains such as urban telecommunication forecasting, where temporal correlations and nonlinear…

Long Short-Term Memory (LSTM) units have the ability to memorise and use long-term dependencies between inputs to generate predictions on time series data. We introduce the concept of modifying the cell state (memory) of LSTMs using…

Machine Learning · Computer Science 2021-05-04 Vlad Velici , Adam Prügel-Bennett

In this paper, a novel architecture for a deep recurrent neural network, residual LSTM is introduced. A plain LSTM has an internal memory cell that can learn long term dependencies of sequential data. It also provides a temporal shortcut…

Machine Learning · Computer Science 2017-06-07 Jaeyoung Kim , Mostafa El-Khamy , Jungwon Lee

Spatio-temporal data and processes are prevalent across a wide variety of scientific disciplines. These processes are often characterized by nonlinear time dynamics that include interactions across multiple scales of spatial and temporal…

Machine Learning · Statistics 2017-08-18 Patrick L. McDermott , Christopher K. Wikle

Long-range time series forecasting remains challenging, as it requires capturing non-stationary and multi-scale temporal dependencies while maintaining noise robustness, efficiency, and stability. Transformer-based architectures such as…

Machine Learning · Computer Science 2025-09-03 Stefan-Alexandru Jura , Mihai Udrescu , Alexandru Topirceanu

This study proposes a multi-resolution Convolutional Long Short-Term Memory (ConvLSTM) ensemble framework that leverages diverse temporal input resolutions to mitigate error accumulation and improve long-horizon forecasting of…

Machine Learning · Computer Science 2026-05-25 Jihoon Kim , Heejung Youn

Long Short-Term Memory (LSTM) is a recurrent neural network (RNN) architecture that has been designed to address the vanishing and exploding gradient problems of conventional RNNs. Unlike feedforward neural networks, RNNs have cyclic…

Neural and Evolutionary Computing · Computer Science 2014-02-06 Haşim Sak , Andrew Senior , Françoise Beaufays

Spatio-temporal (ST) forecasting is critical for dynamic systems, yet existing methods predominantly rely on modeling a limited set of observed target variables. In this paper, we present the first systematic exploration of exogenous…

Machine Learning · Computer Science 2026-03-03 Wei Chen , Yuqian Wu , Yuanshao Zhu , Xixuan Hao , Shiyu Wang , Xiaofang Zhou , Yuxuan Liang

Modeling spatiotemporal dynamical systems is a fundamental challenge in machine learning. Transformer models have been very successful in NLP and computer vision where they provide interpretable representations of data. However, a…

Machine Learning · Computer Science 2023-08-01 Antonio H. de O. Fonseca , Emanuele Zappala , Josue Ortega Caro , David van Dijk

A time-series forecasting method for high-dimensional spatial data is proposed. The method involves optimal selection of sparse sensor positions to efficiently represent the spatial domain, time-series forecasting at these positions, and…

Streamflow forecasting is key to effectively managing water resources and preparing for the occurrence of natural calamities being exacerbated by climate change. Here we use the concept of fast and slow flow components to create a new…

Machine Learning · Computer Science 2021-07-14 Miguel Paredes Quiñones , Maciel Zortea , Leonardo S. A. Martins