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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

Residual neural networks (ResNets) are a promising class of deep neural networks that have shown excellent performance for a number of learning tasks, e.g., image classification and recognition. Mathematically, ResNet architectures can be…

Optimization and Control · Mathematics 2019-07-26 S. Günther , L. Ruthotto , J. B. Schroder , E. C. Cyr , N. R. Gauger

We examine the efficiency of Recurrent Neural Networks in forecasting the spatiotemporal dynamics of high dimensional and reduced order complex systems using Reservoir Computing (RC) and Backpropagation through time (BPTT) for gated network…

Signal Processing · Electrical Eng. & Systems 2020-02-19 Pantelis R. Vlachas , Jaideep Pathak , Brian R. Hunt , Themistoklis P. Sapsis , Michelle Girvan , Edward Ott , Petros Koumoutsakos

We present in this paper a model for forecasting short-term power loads based on deep residual networks. The proposed model is able to integrate domain knowledge and researchers' understanding of the task by virtue of different neural…

Machine Learning · Statistics 2018-05-31 Kunjin Chen , Kunlong Chen , Qin Wang , Ziyu He , Jun Hu , Jinliang He

Recurrent neural networks have been widely used in sequence learning tasks. In previous studies, the performance of the model has always been improved by either wider or deeper structures. However, the former becomes more prone to…

Machine Learning · Computer Science 2019-11-20 Yu-Xuan Li , Jin-Yuan Liu , Liang Li , Xiang Guan

With the advent of Big Data, nowadays in many applications databases containing large quantities of similar time series are available. Forecasting time series in these domains with traditional univariate forecasting procedures leaves great…

Machine Learning · Computer Science 2018-09-13 Kasun Bandara , Christoph Bergmeir , Slawek Smyl

Deep Neural Networks (DNNs) are becoming an important tool in modern computing applications. Accelerating their training is a major challenge and techniques range from distributed algorithms to low-level circuit design. In this survey, we…

Machine Learning · Computer Science 2018-09-18 Tal Ben-Nun , Torsten Hoefler

We explore the interplay of network structure, topology, and dynamic interactions between nodes using the paradigm of distributed synchronization in a network of coupled oscillators. As the network evolves to a global steady state,…

Disordered Systems and Neural Networks · Physics 2015-06-04 Kristina Lerman , Rumi Ghosh

Graph neural networks trained to predict observable dynamics can be used to decompose the temporal activity of complex heterogeneous systems into simple, interpretable representations. Here we apply this framework to simulated neural…

Neurons and Cognition · Quantitative Biology 2026-02-17 Cédric Allier , Larissa Heinrich , Magdalena Schneider , Stephan Saalfeld

Multilayer networks proved to be suitable in extracting and providing dependency information of different complex systems. The construction of these networks is difficult and is mostly done with a static approach, neglecting time delayed…

Risk Management · Quantitative Finance 2020-04-14 Giuseppe Brandi , T. Di Matteo

Accurate time series forecasting is a fundamental challenge in data science. It is often affected by external covariates such as weather or human intervention, which in many applications, may be predicted with reasonable accuracy. We refer…

Machine Learning · Computer Science 2023-08-01 Jimeng Shi , Rukmangadh Myana , Vitalii Stebliankin , Azam Shirali , Giri Narasimhan

Long Short-Term Memory (LSTM) networks are often used to capture temporal dependency patterns. By stacking multi-layer LSTM networks, it can capture even more complex patterns. This paper explores the effectiveness of applying stacked LSTM…

Machine Learning · Computer Science 2020-11-03 Frank Xiao

Learning models for dynamical systems in continuous time is significant for understanding complex phenomena and making accurate predictions. This study presents a novel approach utilizing differential neural networks (DNNs) to model…

Machine Learning · Computer Science 2024-12-13 Wenjie Mei , Xiaorui Wang , Yanrong Lu , Ke Yu , Shihua Li

Model-free and data-driven prediction of tipping point transitions in nonlinear dynamical systems is a challenging and outstanding task in complex systems science. We propose a novel, fully data-driven machine learning algorithm based on…

Machine Learning · Computer Science 2023-12-12 Daniel Köglmayr , Christoph Räth

This paper is the second in a series of two, and describes the current state of the art in modelling and prediction of chaotic time series. Sampled data from deterministic non-linear systems may look stochastic when analysed with linear…

chao-dyn · Physics 2008-02-03 Bjoern Lillekjendlie , Dimitris Kugiumtzis , Nils Christophersen

In nonlinear dynamical systems, tipping refers to a critical transition from one steady state to another, typically catastrophic, steady state, often resulting from a saddle-node bifurcation. Recently, the machine-learning framework of…

Chaotic Dynamics · Physics 2026-04-09 Smita Deb , Zheng-Meng Zhai , Mulugeta Haile , Ying-Cheng Lai

Reservoir computing derived from recurrent neural networks is more applicable to real world systems than deep learning because of its low computational cost and potential for physical implementation. Specifically, physical reservoir…

Emerging Technologies · Computer Science 2019-12-03 Hiroyasu Ando , Hanten Chang

Cross-platform account matching plays a significant role in social network analytics, and is beneficial for a wide range of applications. However, existing methods either heavily rely on high-quality user generated content (including user…

Social and Information Networks · Computer Science 2020-06-04 Hongxu Chen , Hongzhi Yin , Xiangguo Sun , Tong Chen , Bogdan Gabrys , Katarzyna Musial

We propose and investigate new complementary methodologies for estimating predictive variance networks in regression neural networks. We derive a locally aware mini-batching scheme that result in sparse robust gradients, and show how to…

Machine Learning · Statistics 2019-11-05 Nicki S. Detlefsen , Martin Jørgensen , Søren Hauberg

This paper presents a comparative analysis of distributed training strategies for large-scale neural networks, focusing on data parallelism, model parallelism, and hybrid approaches. We evaluate these strategies on image classification…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-04-01 Vishnu Vardhan Baligodugula , Fathi Amsaad