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Echo state networks (ESN), a type of reservoir computing (RC) architecture, are efficient and accurate artificial neural systems for time series processing and learning. An ESN consists of a core of recurrent neural networks, called a…

Neural and Evolutionary Computing · Computer Science 2015-04-28 Alireza Goudarzi , Alireza Shabani , Darko Stefanovic

Many real-world datasets are time series that are sequentially collected and contain rich temporal information. Thus, a common interest in practice is to capture dynamics of time series and predict their future evolutions. To this end, the…

Machine Learning · Computer Science 2025-05-12 Yifan Zhou , Yibo Wang , Chao Shang

We propose a framework based on Recurrent Neural Networks (RNNs) to determine an optimal control strategy for a discrete-time system that is required to satisfy specifications given as Signal Temporal Logic (STL) formulae. RNNs can store…

Systems and Control · Electrical Eng. & Systems 2020-09-25 Wenliang Liu , Noushin Mehdipour , Calin Belta

In various applications, probabilistic forecasts are required to quantify the inherent uncertainty associated with the forecast. However, numerous modern forecasting methods are still designed to create deterministic forecasts. Transforming…

Machine Learning · Computer Science 2023-02-06 Kaleb Phipps , Benedikt Heidrich , Marian Turowski , Moritz Wittig , Ralf Mikut , Veit Hagenmeyer

Traditional neural network regression models provide only point estimates, failing to capture predictive uncertainty. Probabilistic neural networks (PNNs) address this limitation by producing output distributions, enabling the construction…

Machine Learning · Computer Science 2026-03-02 Farhad Pourkamali-Anaraki

We propose a fast, non-Bayesian method for producing uncertainty scores in the output of pre-trained deep neural networks (DNNs) using a data-driven interval propagating network. This interval neural network (INN) has interval valued…

Machine Learning · Computer Science 2020-03-27 Luis Oala , Cosmas Heiß , Jan Macdonald , Maximilian März , Wojciech Samek , Gitta Kutyniok

As industrial systems become more complex and monitoring sensors for everything from surveillance to our health become more ubiquitous, multivariate time series prediction is taking an important place in the smooth-running of our society. A…

Machine Learning · Computer Science 2022-03-03 Fan Jin , Ke Zhang , Yipan Huang , Yifei Zhu , Baiping Chen

Deciding the best future execution time is a critical task in many business activities while evolving time series forecasting, and optimal timing strategy provides such a solution, which is driven by observed data. This solution has plenty…

Artificial Intelligence · Computer Science 2023-10-10 Chen Pan , Fan Zhou , Xuanwei Hu , Xinxin Zhu , Wenxin Ning , Zi Zhuang , Siqiao Xue , James Zhang , Yunhua Hu

Probabilistic time series forecasting predicts the conditional probability distributions of the time series at a future time given past realizations. Such techniques are critical in risk-based decision-making and planning under…

Machine Learning · Computer Science 2023-06-07 Xinyi Wang , Meijen Lee , Qing Zhao , Lang Tong

The quantification of uncertainty in prediction models is crucial for reliable decision-making, yet remains a significant challenge. Interval time series forecasting offers a principled solution to this problem by providing prediction…

Machine Learning · Computer Science 2026-04-20 Miaoxuan Zhu , Yi Yu , Yuyang Li , Wei Li , Guangcan Liu

We propose Generative Well-intentioned Networks (GWINs), a novel framework for increasing the accuracy of certainty-based, closed-world classifiers. A conditional generative network recovers the distribution of observations that the…

Machine Learning · Computer Science 2019-10-29 Justin Cosentino , Jun Zhu

Classical methods of solving spatiotemporal dynamical systems include statistical approaches such as autoregressive integrated moving average, which assume linear and stationary relationships between systems' previous outputs. Development…

Dynamical Systems · Mathematics 2022-02-16 Yonggi Park , Kelum Gajamannage , Dilhani I. Jayathilake , Erik M. Bollt

Probabilistic models often use neural networks to control their predictive uncertainty. However, when making out-of-distribution (OOD)} predictions, the often-uncontrollable extrapolation properties of neural networks yield poor uncertainty…

Machine Learning · Computer Science 2022-01-19 Pierre Segonne , Yevgen Zainchkovskyy , Søren Hauberg

Multivariate time-series modeling and forecasting is an important problem with numerous applications. Traditional approaches such as VAR (vector auto-regressive) models and more recent approaches such as RNNs (recurrent neural networks) are…

Machine Learning · Computer Science 2017-09-12 Hardik Goel , Igor Melnyk , Arindam Banerjee

Reliable uncertainty quantification in trajectory prediction is crucial for safety-critical autonomous driving systems, yet existing deep learning predictors lack uncertainty-aware frameworks adaptable to heterogeneous real-world scenarios.…

Robotics · Computer Science 2025-12-08 Yiming Shu , Jiahui Xu , Linghuan Kong , Fangni Zhang , Guodong Yin , Chen Sun

Time-series modeling in process industries faces the challenge of dealing with complex, multi-faceted, and evolving data characteristics. Conventional single model approaches often struggle to capture the interplay of diverse dynamics,…

Machine Learning · Statistics 2024-03-05 Pål V. Johnsen , Eivind Bøhn , Sølve Eidnes , Filippo Remonato , Signe Riemer-Sørensen

Recommendations can greatly benefit from good representations of the user state at recommendation time. Recent approaches that leverage Recurrent Neural Networks (RNNs) for session-based recommendations have shown that Deep Learning models…

Information Retrieval · Computer Science 2017-06-26 Elena Smirnova , Flavian Vasile

Although many complex models were proposed to analyze time series data, some studies have demonstrated remarkable performance with simpler structures. A recent study proposed a non-parametric framework for 3D point cloud classification,…

Machine Learning · Computer Science 2026-05-12 Bowen Liu , Haijian Lai , Chan-Tong Lam , Junhao Dong , Benjamin Ng , Wei Ke , Sio-Kei Im

Multi-horizon probabilistic time series forecasting has wide applicability to real-world tasks such as demand forecasting. Recent work in neural time-series forecasting mainly focus on the use of Seq2Seq architectures. For example,…

Machine Learning · Computer Science 2022-09-09 Sitan Yang , Carson Eisenach , Dhruv Madeka

Reservoir computers (RC) are a form of recurrent neural network (RNN) used for forecasting timeseries data. As with all RNNs, selecting the hyperparameters presents a challenge when training onnew inputs. We present a method based on…

Computational Physics · Physics 2022-01-05 Jason A. Platt , Adrian S. Wong , Randall Clark , Stephen G. Penny , Henry D. I. Abarbanel
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