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Reduced Order Models (ROMs) have been regarded as an efficient alternative to conventional high-fidelity Computational Fluid Dynamics (CFD) for accelerating the design and optimization processes in engineering applications. Many industrial…

数值分析 · 数学 2026-01-15 Shenhui Ruan , Andreas G. Class , Gianluigi Rozza

In this paper, we propose a robust subspace-constrained quadratic model (SCQM) for learning low-dimensional structure from high-dimensional data. Building upon the subspace-constrained quadratic matrix factorization (SQMF) framework, the…

机器学习 · 计算机科学 2026-05-21 Zheng Zhai , Xiaohui Li

Identifying structural parameters in linear simultaneous-equation models is a longstanding challenge. Recent work exploits information in higher-order moments of non-Gaussian data. In this literature, the structural errors are typically…

计量经济学 · 经济学 2025-09-11 Ziyu Jiang

Year 1 results of the Legacy Survey of Space and Time (LSST) will provide tighter constraints on small-scale cosmology, beyond the validity of linear perturbation theory. This heightens the demand for a computationally affordable…

A novel mathematical model for fiber-reinforced materials is proposed. It is based on a 1-dimensional beam model for the thin fiber structures, a flexible and general 3-dimensional elasticity model for the matrix and an overlapping domain…

计算工程、金融与科学 · 计算机科学 2021-05-12 Ustim Khristenko , Stefan Schuß , Melanie Krüger , Felix Schmidt , Barbara Wohlmuth , Christian Hesch

The coupled cluster method (CCM) is a method of quantum many-body theory that may provide accurate results for the ground-state properties of lattice quantum spin systems even in the presence of strong frustration and for lattices of…

强关联电子 · 物理学 2009-11-11 D. J. J. Farnell , J. Schulenburg , J. Richter , K. A. Gernoth

A three-dimensional simulation model is proposed here to study the erosive wear of structure caused by solid particles, which accounts for the accumulation of surface deformation and degradation during the erosion process. Although there…

流体动力学 · 物理学 2025-03-04 Vinh D. X. Nguyen , A. Kiet Tieu , Damien Andre , Hongtao Zhu

This research proposes an effective vertical clustering strategy of 3D data in an elliptical helical shape based on 2D geometry. The clustering object is an elliptical cross-sectioned metal pipe which is been bended in to an elliptical…

计算工程、金融与科学 · 计算机科学 2014-02-10 Wasantha Samarathunga , Masatoshi Seki , Hidenobu Saito , Ken Ichiryu , Yasuhiro Ohyama

This document is an evaluation of the original "Rank-N-Contrast" (arXiv:2210.01189v2) paper published in 2023. This evaluation is done for academic purposes. Deep regression models often fail to capture the continuous nature of sample…

机器学习 · 计算机科学 2025-06-24 Valentin Six , Alexandre Chidiac , Arkin Worlikar

The mechanical properties of metal matrix fiber-reinforced composites depend on many aspects of their structure in a complicated way. In this paper, we propose a \emph{minimalistic} approach to study interface debonding, matrix cracking,…

材料科学 · 物理学 2021-10-26 Zhaoyang Hu , Xufei Suo , Feng Jiang , Yongxing Shen

We propose a method for estimation in high-dimensional linear models with nominal categorical data. Our estimator, called SCOPE, fuses levels together by making their corresponding coefficients exactly equal. This is achieved using the…

统计方法学 · 统计学 2021-12-21 Benjamin G. Stokell , Rajen D. Shah , Ryan J. Tibshirani

Model merging combines independently fine-tuned checkpoints without joint multi-task training. In the era of foundation-model, fine-tuning with Low-Rank Adaptation (LoRA) is prevalent, making LoRA merging a promising target. Existing…

计算机视觉与模式识别 · 计算机科学 2026-03-30 Wonyoung Lee , Wooseong Jeong , Kuk-Jin Yoon

Principal Component Analysis (PCA) is the most widely used tool for linear dimensionality reduction and clustering. Still it is highly sensitive to outliers and does not scale well with respect to the number of data samples. Robust PCA…

计算机视觉与模式识别 · 计算机科学 2015-04-24 Nauman Shahid , Vassilis Kalofolias , Xavier Bresson , Michael Bronstein , Pierre Vandergheynst

Reduced-order models (ROMs) are very popular for surrogate modeling of full-order computational fluid dynamics (CFD) simulations, allowing for real-time approximation of complex flow phenomena. However, their application to CFD models…

流体动力学 · 物理学 2025-11-25 Rakesh Halder , Benet Eiximeno , Oriol Lehmkuhl

A reduced-rank mixed effects model is developed for robust modeling of sparsely observed paired functional data. In this model, the curves for each functional variable are summarized using a few functional principal components, and the…

统计方法学 · 统计学 2023-08-08 Huiya Zhou , Xiaomeng Yan , Lan Zhou

In this article, a failure mode dependent and thermodynamically consistent continuum damage model with polynomial-based damage hardening functions is proposed for continuum damage modeling of laminated composite panels. The damage model…

计算物理 · 物理学 2025-09-24 Shubham Rai , Badri Prasad Patel

Envelope methods offer targeted dimension reduction for various models. The overarching goal is to improve efficiency in multivariate parameter estimation by projecting the data onto a lower-dimensional subspace known as the envelope.…

统计方法学 · 统计学 2022-07-13 Xin Zhang , Kai Deng , Qing Mai

Causal inference in modern largescale systems faces growing challenges, including highdimensional covariates, multi-valued treatments, massive observational (OBS) data, and limited randomized controlled trial (RCT) samples due to cost…

统计方法学 · 统计学 2026-02-27 Yuxi Du , Zhiheng Zhang , Haoxuan Li , Cong Fang , Jixing Xu , Peng Zhen , Jiecheng Guo

This article deals with the study of predicting the confinement effect of carbon fiber reinforced polymers (CFRPs) on concrete cylinder strength using metaheuristics-based artificial neural networks. A detailed database of 708 CFRP confined…

神经与进化计算 · 计算机科学 2024-03-22 Sarmed Wahab , Mohamed Suleiman , Faisal Shabbir , Nasim Shakouri Mahmoudabadi , Sarmad Waqas , Nouman Herl , Afaq Ahmad

The popularity of deep convolutional autoencoders (CAEs) has engendered new and effective reduced-order models (ROMs) for the simulation of large-scale dynamical systems. Despite this, it is still unknown whether deep CAEs provide superior…

机器学习 · 计算机科学 2022-03-14 Anthony Gruber , Max Gunzburger , Lili Ju , Zhu Wang