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High-fidelity numerical simulations of partial differential equations (PDEs) given a restricted computational budget can significantly limit the number of parameter configurations considered and/or time window evaluated for modeling a given…

机器学习 · 计算机科学 2023-09-04 Paolo Conti , Mengwu Guo , Andrea Manzoni , Attilio Frangi , Steven L. Brunton , J. Nathan Kutz

Efficient surrogate modelling is a key requirement for uncertainty quantification in data-driven scenarios. In this work, a novel approach of using Sparse Random Features for surrogate modelling in combination with self-supervised…

机器学习 · 计算机科学 2023-01-02 Maternus Herold , Anna Veselovska , Jonas Jehle , Felix Krahmer

Stochastic unit commitment models typically handle uncertainties in forecast demand by considering a finite number of realizations from a stochastic process model for loads. Accurate evaluations of expectations or higher moments for the…

系统与控制 · 计算机科学 2014-07-09 Cosmin Safta , Richard L. Chen , Habib N. Najm , Ali Pinar , Jean-paul watson

We present a microscopic theory of fluctuation-mediated pairing mechanism in organic superconductors ${(TMTSF)}_{2}X$, where the experimentally observed coexistence of $2k_{F}$ charge fluctuation and $2k_{F}$ spin fluctuation is naturally…

强关联电子 · 物理学 2009-11-10 Y. Tanaka , K. Kuroki

While the prediction of AC losses during transients is critical for designing large-scale low-temperature superconducting (LTS) magnets, brute-force finite-element (FE) simulation of their detailed geometry down to the length scale of the…

Coherent spin resonance techniques, such as nuclear and electron spin resonance spectroscopy, have revolutionized non-invasive imaging by providing spectrally resolved information about spin dynamics. Motivated by the recent emergence of…

量子物理 · 物理学 2026-02-25 Santiago Beltrán-Romero , Stefan Löffler , Dennis Rätzel , Philipp Haslinger

Surrogate neural network-based models have been lately trained and used in a variety of science and engineering applications where the number of evaluations of a target function is limited by execution time. In cell phone camera systems,…

计算工程、金融与科学 · 计算机科学 2022-06-29 Shantanu Shahane , Erman Guleryuz , Diab W Abueidda , Allen Lee , Joe Liu , Xin Yu , Raymond Chiu , Seid Koric , Narayana R Aluru , Placid M Ferreira

A radial basis function (RBF) based sequential surrogate reliability method (SSRM) is proposed, in which a special optimization problem is solved to update the surrogate model of the limit state function (LSF) iteratively. The objective of…

统计计算 · 统计学 2017-06-27 Xu Li , Chunlin Gong , Liangxian Gu , Wenkun Gao , Zhao Jing , Hua Su

We study sensor scheduling for continuous-discrete Kalman filtering with Poisson measurement arrivals and propose an information-form deterministic surrogate for scalable offline design. Unlike the covariance-form surrogate, the sensing…

系统与控制 · 电气工程与系统科学 2026-04-24 Hyeongmin Choe , SooJean Han

Various frameworks have been proposed to predict mechanical system responses by combining data from different fidelities for design optimization and uncertainty quantification as reviewed by Fern\'andez-Godino et al. and Peherstorfer et…

数据分析、统计与概率 · 物理学 2017-05-09 Yiming Zhang , Nam-Ho Kim , Chanyoung Park , Raphael T. Haftka

We consider the problem of constructing surrogate operators for parameter-to-solution maps arising from parametric partial differential equations, where repeated forward model evaluations are computationally expensive. We present a…

机器学习 · 计算机科学 2026-04-02 Josephine Westermann , Benno Huber , Thomas O'Leary-Roseberry , Jakob Zech

Surrogate modeling is an essential data-driven technique for quantifying relationships between input variables and system responses in manufacturing and engineering systems. Two major challenges limit its effectiveness: (1) large data…

机器学习 · 计算机科学 2026-03-11 Manan Mehta , Zhiqiao Dong , Yuhang Yang , Chenhui Shao

Many real-world systems are modelled using complex ordinary differential equations (ODEs). However, the dimensionality of these systems can make them challenging to analyze. Dimensionality reduction techniques like Proper Orthogonal…

计算工程、金融与科学 · 计算机科学 2025-02-26 Abhishek Ajayakumar , Soumyendu Raha

We use electrostatic force microscopy to spatially resolve random telegraph noise at the Si/SiO$_2$ interface. Our measurements demonstrate that two-state fluctuations are localized at interfacial traps, with bias-dependent rates and…

介观与纳米尺度物理 · 物理学 2024-03-18 Megan Cowie , Procopios C. Constantinou , Neil J. Curson , Taylor J. Z. Stock , Peter Grutter

Time-fluctuating signals are ubiquitous and diverse in many physical, chemical, and biological systems, among which random telegraph signals (RTSs) refer to a series of instantaneous switching events between two discrete levels from…

应用物理 · 物理学 2022-06-02 Marcel Robitaille , HeeBong Yang , Lu Wang , Na Young Kim

Finite element methods (FEM) for high-temperature superconducting (HTS) magnets become time-consuming at larger scales, restricting the rapid optimization of meter-scale REBCO solenoids. In this work, a surrogate model based on a fully…

机器学习 · 计算机科学 2026-03-11 Mianjun Xiao , Peng Song , Yulong Liu , Cedric Korte , Ziyang Xu , Jiale Gao , Jiaqi Lu , Haoyang Nie , Qiantong Deng , Timing Qu

We present a probabilistic deep learning methodology that enables the construction of predictive data-driven surrogates for stochastic systems. Leveraging recent advances in variational inference with implicit distributions, we put forth a…

机器学习 · 统计学 2019-01-16 Yibo Yang , Paris Perdikaris

In recent years, computational power and data availability breakthroughs have revolutionized our ability to analyze complex physical systems through the inverse problem approach. Data-driven techniques like system identification and machine…

系统与控制 · 电气工程与系统科学 2026-05-04 Sriram Narayanan , Mohamed Naveed Gul Mohamed , Ishan Paranjape , Indranil Nayak , Suman Chakravorty , Mrinal Kumar

Computing the Sparse Fast Fourier Transform(sFFT) of a K-sparse signal of size N has emerged as a critical topic for a long time. The sFFT algorithms decrease the runtime and sampling complexity by taking advantage of the signal inherent…

信号处理 · 电气工程与系统科学 2020-12-16 Bin Li , Zhikang Jiang , Jie Chen

This paper analyzes the statistical properties of the signal-to-noise ratio (SNR) at the output of the Capon's minimum variance distortionless response (MVDR) beamformers when operating over impulsive noises. Particularly, we consider the…

信息论 · 计算机科学 2016-05-17 Khalil Elkhalil , Abla Kammoun , Tareq Y. Al-Naffouri , Mohamed-Slim Alouini