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In this paper we contribute a novel algorithm family, which generalizes many unsupervised techniques including unnormalized and energy models, and allows us to infer different statistical modalities (e.g. data likelihood and ratio between…

机器学习 · 计算机科学 2021-01-14 Dmitry Kopitkov , Vadim Indelman

Physics-based models often involve large systems of parametrized partial differential equations, where design parameters control various properties. However, high-fidelity simulations of such systems on large domains or with high grid…

计算物理 · 物理学 2025-05-15 Diba Behnoudfar

Snapshot compressive imaging (SCI) captures high-dimensional data efficiently by compressing it into two-dimensional observations and reconstructing high-dimensional data from two-dimensional observations with various algorithms. The…

图像与视频处理 · 电气工程与系统科学 2025-03-06 Takashi Matsuda , Ryo Hayakawa , Youji Iiguni

A data-driven algorithm is proposed that employs sparse data from velocity and/or scalar sensors to forecast the future evolution of three dimensional turbulent flows. The algorithm combines time-delayed embedding together with Koopman…

流体动力学 · 物理学 2026-03-04 George Papadakis , Shengqi Lu

Thermal-Hydraulic (TH) experiments provide valuable insight into the physics of heat and mass transfer and qualified data for code development, calibration and validation. However, measurements are typically collected from sparsely…

系统与控制 · 电气工程与系统科学 2025-09-15 Xicheng Wang , Yun. Feng , Dmitry Grishchenko , Pavel Kudinov , Ruifeng Tian , Sichao Tan

In our previous work, a reduced order model (ROM) for a stochastic system was made, where noisy data was projected onto principal component analysis (PCA)-derived basis vectors to obtain an accurate reconstruction of the noise-free data.…

数值分析 · 数学 2017-02-07 Indika Udagedara , Brian Helenbrook , Aaron Luttman , Jared Catenacci

Reduced order methods (ROMs) for the incompressible Navier--Stokes equations, based on proper orthogonal decomposition (POD), are studied that include snapshots which approach the temporal derivative of the velocity from a full order mixed…

数值分析 · 数学 2023-04-18 Bosco García-Archilla , Volker John , Sarah Katz , Julia Novo

Proper orthogonal decomposition (POD) stabilized methods for the Navier-Stokes equations are considered and analyzed. We consider two cases, the case in which the snapshots are based on a non inf-sup stable method and the case in which the…

数值分析 · 数学 2020-06-02 Julia Novo , Samuele Rubino

For linear systems, many data-driven control methods rely on the behavioral framework, using historical data of the system to predict the future trajectories. However, measurement noise introduces errors in predictions. When the noise is…

最优化与控制 · 数学 2023-08-29 Baiwei Guo , Yuning Jiang , Colin N. Jones , Giancarlo Ferrari-Trecate

Machine learning potential-driven molecular dynamics (MD) simulations have significantly enhanced the predictive accuracy of thermal transport properties across diverse materials. However, extracting phonon-mode-resolved insights from these…

计算物理 · 物理学 2025-09-18 Ting Liang , Wenwu Jiang , Ke Xu , Hekai Bu , Zheyong Fan , Wengen Ouyang , Jianbin Xu

Optimizing multimodal waveguide performance depends on modal analysis; however, existing methods focus predominantly on modal power distribution (MPD) and, limited by experimental hardware and conditions, exhibit low accuracy, poor…

计算物理 · 物理学 2025-11-06 Jingtong Li , Dongting Huang , Minhui Xiong , Mingzhi Li

Large Eddy Simulation is based on decomposition of turbulent flow structures to large energy containing scales and small subgrid scales. The present study captures all flow low energy modes of a sample shear layer using the proper…

流体动力学 · 物理学 2018-05-30 Hossein Rahmani , Hamid Kalaei , Ghasem Akbari , Nader Montazerin

In an era where big and high-dimensional data is readily available, data scientists are inevitably faced with the challenge of reducing this data for expensive downstream computation or analysis. To this end, we present here a new method…

统计方法学 · 统计学 2018-06-05 Simon Mak , V. Roshan Joseph

This paper addresses the problem of detecting change points in the spectral density of time series, motivated by EEG analysis of seizure patients. Seizures disrupt coherence and functional connectivity, necessitating precise detection.…

统计方法学 · 统计学 2025-05-06 Sepideh Mosaferi , Abolfazl Safikhani , Peiliang Bai

Moving object detection (MOD) in remote sensing is significantly challenged by low resolution, extremely small object sizes, and complex noise interference. Current deep learning-based MOD methods rely on probability density estimation,…

计算机视觉与模式识别 · 计算机科学 2025-04-15 Jinyue Zhang , Xiangrong Zhang , Zhongjian Huang , Tianyang Zhang , Yifei Jiang , Licheng Jiao

Tensor-valued data benefits greatly from dimension reduction as the reduction in size is exponential in the number of modes. To achieve maximal reduction without loss in information, our objective in this work is to give an automated…

统计方法学 · 统计学 2022-07-22 Una Radojicic , Niko Lietzen , Klaus Nordhausen , Joni Virta

We present a method for combining proper orthogonal decomposition (POD) bases optimized with respect to different norms into a single complete basis. We produce a basis combining decompositions optimized with respect to turbulent kinetic…

流体动力学 · 物理学 2023-03-30 Peder J. Olesen , Azur Hodžić , Clara M. Velte

We propose a method for variable selection in the intensity function of spatial point processes that combines sparsity-promoting estimation with noise-robust model selection. As high-resolution spatial data becomes increasingly available…

统计方法学 · 统计学 2025-10-30 Dominik Sturm , Ivo F. Sbalzarini

We propose a method to efficiently determine the optimal coarse-grained force field in mesoscopic stochastic simulations of Newtonian fluid and polymer melt systems modeled by dissipative particle dynamics (DPD) and energy conserving…

计算物理 · 物理学 2017-01-04 Huan Lei , Xiu Yang , Zhen Li , George Karniadakis

Depth control of underwater vehicles in engineering applications must simultaneously satisfy requirements for rapid tracking, low overshoot, and actuator constraints. Traditional fuzzy PID tuning often relies on empirical methods, making it…

机器人学 · 计算机科学 2026-02-16 Yanxi Ding , Tingyue Jia