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Uncertainties such as manufacturing tolerances cause performance variations in complex engineering systems, making robust design optimization (RDO) essential. However, simulation-based RDO faces high computational cost for statistical…

Optimization and Control · Mathematics 2026-02-10 Hyunho Jang , Dongjin Lee

We introduce a framework for model reduction of chain models for dissipative particle dynamics (DPD) simulations, where the characteristic size of the chain, pressure, density, and temperature are preserved. The proposed methodology reduces…

Soft Condensed Matter · Physics 2016-05-04 Nicolas Moreno , Suzana P. Nunes , Victor M. Calo

Many DNN-enabled vision applications constantly operate under severe energy constraints such as unmanned aerial vehicles, Augmented Reality headsets, and smartphones. Designing DNNs that can meet a stringent energy budget is becoming…

Machine Learning · Computer Science 2019-04-09 Haichuan Yang , Yuhao Zhu , Ji Liu

The random neural network (RNN) is a mathematical model for an "integrate and fire" spiking network that closely resembles the stochastic behaviour of neurons in mammalian brains. Since its proposal in 1989, there have been numerous…

Neural and Evolutionary Computing · Computer Science 2018-10-23 Yonghua Yin

Deep neural networks (DNN) have been used to model nonlinear relations between physical quantities. Those DNNs are embedded in physical systems described by partial differential equations (PDE) and trained by minimizing a loss function that…

Numerical Analysis · Mathematics 2020-02-26 Kailai Xu , Eric Darve

Model-based deep learning (MBDL) is a powerful methodology for designing deep models to solve imaging inverse problems. MBDL networks can be seen as iterative algorithms that estimate the desired image using a physical measurement model and…

Image and Video Processing · Electrical Eng. & Systems 2025-04-04 Chicago Y. Park , Weijie Gan , Zihao Zou , Yuyang Hu , Zhixin Sun , Ulugbek S. Kamilov

Building highly non-linear and non-parametric models is central to several state-of-the-art machine learning systems. Kernel methods form an important class of techniques that induce a reproducing kernel Hilbert space (RKHS) for inferring…

Machine Learning · Statistics 2017-11-16 Huan Song , Jayaraman J. Thiagarajan , Prasanna Sattigeri , Andreas Spanias

Understanding thermal stress evolution in metal additive manufacturing (AM) is crucial for producing high-quality components. Recent advancements in machine learning (ML) have shown great potential for modeling complex multiphysics problems…

Machine Learning · Computer Science 2024-12-30 R. Sharma , Y. B. Guo

In this work, we introduce DeepFlame, an open-source C++ platform with the capabilities of utilising machine learning algorithms and pre-trained models to solve for reactive flows. We combine the individual strengths of the computational…

Fluid Dynamics · Physics 2023-07-17 Runze Mao , Minqi Lin , Yan Zhang , Tianhan Zhang , Zhi-Qin John Xu , Zhi X. Chen

Effective and powerful methods for denoising real electrocardiogram (ECG) signals are important for wearable sensors and devices. Deep Learning (DL) models have been used extensively in image processing and other domains with great success…

Machine Learning · Computer Science 2020-06-24 Corneliu Arsene

Restricted Boltzmann Machine (RBM) is a generative stochastic energy-based model of artificial neural network for unsupervised learning. Recently, RBM is well known to be a pre-training method of Deep Learning. In addition to visible and…

Neural and Evolutionary Computing · Computer Science 2018-07-12 Shin Kamada , Takumi Ichimura

Research in modern data-driven dynamical systems is typically focused on the three key challenges of high dimensionality, unknown dynamics, and nonlinearity. The dynamic mode decomposition (DMD) has emerged as a cornerstone for modeling…

Fluid Dynamics · Physics 2022-04-27 Peter J. Baddoo , Benjamin Herrmann , Beverley J. McKeon , Steven L. Brunton

In this study, deep learning is used to estimate kinetic parameters for modeling itaconic acid production based on real batch experiments conducted at different agitation speeds and reactor scales. Two deep learning strategies, namely…

Machine Learning · Computer Science 2026-04-27 Daria Fokina , Marco Baldan , Constantin Romankiewicz , Wolfgang Laudensack , Roland Ulber , Michael Bortz

Physical field reconstruction is highly desirable for the measurement and control of engineering systems. The reconstruction of the temperature field from limited observation plays a crucial role in thermal management for electronic…

Machine Learning · Computer Science 2022-01-27 Xingwen Peng , Xingchen Li , Zhiqiang Gong , Xiaoyu Zhao , Wen Yao

Dynamic Low Rank (DLR) methods are a promising way to reduce the computational cost and memory footprint of the high-dimensional thermal radiative transfer (TRT) equations. The TRT equations are a system of nonlinear PDEs that model the…

Numerical Analysis · Mathematics 2026-01-27 Terry Haut , John Loffeld , Lukas Einkemmer , Pierson Guthrey , Stefan Brunner , William Schill

Most existing deep-learning-based single image dynamic scene blind deblurring (SIDSBD) methods usually design deep networks to directly remove the spatially-variant motion blurs from one inputted motion blurred image, without blur kernels…

Computer Vision and Pattern Recognition · Computer Science 2022-08-24 Shu Tang , Yang Wu , Hongxing Qin , Xianzhong Xie , Shuli Yang , Jing Wang

Signal processing, communications, and control have traditionally relied on classical statistical modeling techniques. Such model-based methods utilize mathematical formulations that represent the underlying physics, prior information and…

Signal Processing · Electrical Eng. & Systems 2022-09-13 Nir Shlezinger , Jay Whang , Yonina C. Eldar , Alexandros G. Dimakis

Denoising Diffusion Probabilistic Models (DDPMs) have emerged as a powerful family of generative models that can yield high-fidelity samples and competitive log-likelihoods across a range of domains, including image and speech synthesis.…

Machine Learning · Computer Science 2021-06-08 Daniel Watson , Jonathan Ho , Mohammad Norouzi , William Chan

Scenario reduction is an important topic in stochastic programming problems. Due to the random behavior of load and renewable energy, stochastic programming becomes a useful technique to optimize power systems. Thus, scenario reduction gets…

Signal Processing · Electrical Eng. & Systems 2019-09-02 Qiao Li , David Wenzhong Gao

Partial differential equations (PDEs) are widely used for modeling various physical phenomena. These equations often depend on certain parameters, necessitating either the identification of optimal parameters or the solution of the…

Numerical Analysis · Mathematics 2025-10-17 Martina Bukač , Iva Manojlović , Boris Muha , Domagoj Vlah
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