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Long-term and Large-scale Wireless Traffic Forecasting (LL-WTF) is pivotal for strategic network management and comprehensive planning on a macro scale. However, LL-WTF poses greater challenges than short-term ones due to the pronounced…

Machine Learning · Computer Science 2025-01-14 Daojun Liang , Haixia Zhang , Dongfeng Yuan

Unsupervised domain adaptation (UDA) for time series data remains a critical challenge in deep learning, with traditional pseudo-labeling strategies failing to capture temporal patterns and channel-wise shifts between domains, producing…

Machine Learning · Computer Science 2025-05-16 Jaeho Kim , Seulki Lee

Traditional low-rank approximation is a powerful tool to compress the huge data matrices that arise in simulations of partial differential equations (PDE), but suffers from high computational cost and requires several passes over the PDE…

Numerical Analysis · Mathematics 2024-08-01 Angran Li , Stephen Becker , Alireza Doostan

Capturing data from dynamic processes through cross-sectional measurements is seen in many fields, such as computational biology. Trajectory inference deals with the challenge of reconstructing continuous processes from such observations.…

Machine Learning · Computer Science 2025-03-12 Amartya Banerjee , Harlin Lee , Nir Sharon , Caroline Moosmüller

Reservoir simulation and adaptation (also known as history matching) are typically considered as separate problems. While a set of models are aimed at the solution of the forward simulation problem assuming all initial geological parameters…

Machine Learning · Computer Science 2021-08-03 E. Illarionov , P. Temirchev , D. Voloskov , R. Kostoev , M. Simonov , D. Pissarenko , D. Orlov , D. Koroteev

This paper introduces a sparse matrix discrete interpolation method to effectively compute matrix approximations in the reduced order modeling framework. The sparse algorithm developed herein relies on the discrete empirical interpolation…

Numerical Analysis · Mathematics 2015-06-16 Răzvan Ştefănescu , Adrian Sandu

Flow matching is a scalable generative framework for characterizing continuous normalizing flows with wide-range applications. However, current state-of-the-art methods are not well-suited for modeling dynamical systems, as they construct…

Machine Learning · Computer Science 2026-05-15 Santanu Subhash Rathod , Pietro Liò , Xiao Zhang

This work proposes a new framework of model reduction for parametric complex systems. The framework employs a popular model reduction technique dynamic mode decomposition (DMD), which is capable of combining data-driven learning and physics…

Numerical Analysis · Mathematics 2022-04-21 Hannah Lu , Daniel M. Tartakovsky

With the explosion of information stored world-wide,data intensive computing has become a central area of research.Efficient management and processing of this massively exponential amount of data from diverse sources,such as…

Information Retrieval · Computer Science 2015-03-19 Sourav Dutta , Souvik Bhattacherjee , Ankur Narang

In this work, we address parametric non-stationary fluid dynamics problems within a model order reduction setting based on domain decomposition. Starting from the optimisation-based domain decomposition approach, we derive an optimal…

Numerical Analysis · Mathematics 2024-02-21 Ivan Prusak , Davide Torlo , Monica Nonino , Gianluigi Rozza

Non-intrusive model reduction is a promising solution to system dynamics prediction, especially in cases where data are collected from experimental campaigns or proprietary software simulations. In this work, we present a method for…

Fluid Dynamics · Physics 2024-04-04 Leonidas Gkimisis , Thomas Richter , Peter Benner

Deep learning (DL) has recently emerged to address the heavy storage and computation requirements of the baseline dictionary-matching (DM) for Magnetic Resonance Fingerprinting (MRF) reconstruction. Fed with non-iterated back-projected…

Computer Vision and Pattern Recognition · Computer Science 2019-02-28 Mohammad Golbabaee , Carolin M. Pirkl , Marion I. Menzel , Guido Buonincontri , Pedro A. Gómez

Computing reduced-order models using non-intrusive methods is particularly attractive for systems that are simulated using black-box solvers. However, obtaining accurate data-driven models can be challenging, especially if the underlying…

Mathematical Physics · Physics 2024-01-03 Alberto Padovan , Blaine Vollmer , Daniel J. Bodony

Time series analysis is a fundamental task in various application domains, and deep learning approaches have demonstrated remarkable performance in this area. However, many real-world time series data exhibit significant periodic or…

Machine Learning · Computer Science 2023-09-06 Chunwei Yang , Xiaoxu Chen , Lijun Sun , Hongyu Yang , Yuankai Wu

Many repositories utilize the versatile RDF model to publish data. Repositories are typically distributed and geographically remote, but data are interconnected (e.g., the Semantic Web) and queried globally by a language such as SPARQL. Due…

Databases · Computer Science 2014-05-21 Razen Al-Harbi , Yasser Ebrahim , Panos Kalnis

Ground Penetrating Radar (GPR) is a widely used Non-Destructive Testing (NDT) technique for subsurface exploration, particularly in infrastructure inspection and maintenance. However, conventional interpretation methods are often limited by…

Signal Processing · Electrical Eng. & Systems 2026-01-15 Meiyan Kang , Shizuo Kaji , Sang-Yun Lee , Taegon Kim , Hee-Hwan Ryu , Suyoung Choi

This work presents a non-intrusive model reduction method to learn low-dimensional models of dynamical systems with non-polynomial nonlinear terms that are spatially local and that are given in analytic form. In contrast to state-of-the-art…

Numerical Analysis · Mathematics 2020-10-28 Peter Benner , Pawan Goyal , Boris Kramer , Benjamin Peherstorfer , Karen Willcox

Accurate estimation of error covariances (both background and observation) is crucial for efficient observation compression approaches in data assimilation of large-scale dynamical problems. We propose a new combination of a covariance…

Numerical Analysis · Mathematics 2021-06-11 Sibo Cheng , Didier Lucor , Jean-Philippe Argaud

In this paper, we introduce a modular deep neural network (DNN) framework for data-driven reduced order modeling of dynamical systems relevant to fluid flows. We propose various deep neural network architectures which numerically predict…

Computational Physics · Physics 2019-09-04 S. Pawar , S. M. Rahman , H. Vaddireddy , O. San , A. Rasheed , P. Vedula

There is a growing interest in developing data-driven reduced-order models for atmospheric and oceanic flows that are trained on data obtained either from high-resolution simulations or satellite observations. The data-driven models are…

Fluid Dynamics · Physics 2022-12-07 Suraj Pawar , Omer San
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