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In an era defined by rapid data evolution, traditional Machine Learning (ML) models often struggle to adapt to dynamic environments. Evolving Machine Learning (EML) has emerged as a pivotal paradigm, enabling continuous learning and…

Over the last two decades, Electron Energy Loss Spectroscopy (EELS) imaging with a scanning transmission electron microscope (STEM) has emerged as a technique of choice for visualizing complex chemical, electronic, plasmonic, and phononic…

Vortex-induced vibration (VIV) is a typical nonlinear fluid-structure interaction phenomenon, which widely exists in practical engineering (the flexible riser, the bridge and the aircraft wing, etc). The conventional finite element model…

Fluid Dynamics · Physics 2021-12-30 Hesheng Tang , Hu Yang , Yangyang Liao , Liyu Xie

This paper presents a mass-lumped Virtual Element Method (VEM) with explicit Strong Stability-Preserving Runge--Kutta (SSP-RK) time integration for two-dimensional parabolic problems on general polygonal meshes. A diagonal mass matrix is…

Numerical Analysis · Mathematics 2026-03-10 Paulo Akira F. Enabe , Rodrigo Provasi

In the past, we have presented a systematic computational framework for analyzing self-similar and traveling wave dynamics in nonlinear partial differential equations (PDEs) by dynamically factoring out continuous symmetries such as…

State-space models (SSM) with Markov switching offer a powerful framework for detecting multiple regimes in time series, analyzing mutual dependence and dynamics within regimes, and asserting transitions between regimes. These models…

Methodology · Statistics 2021-06-14 David Degras , Chee-Ming Ting , Hernando Ombao

Elastic MicroPhase Separation (EMPS) provides a simple route to create soft materials with homogeneous microstructures by leveraging the supersaturation of crosslinked polymer networks with liquids. At low supersaturation, network…

The accurate modelling of structural dynamics is crucial across numerous engineering applications, such as Structural Health Monitoring (SHM), seismic analysis, and vibration control. Often, these models originate from physics-based…

Computational Physics · Physics 2024-10-31 Marcus Haywood-Alexander , Giacomo Arcieri , Antonios Kamariotis , Eleni Chatzi

We propose an entropy-enhanced Generative Pre-Trained Physics-Informed Neural Network with a transform layer (EGPT-PINN) for solving parameterized nonlinear conservation laws. The EGPT-PINN extends the traditional physics-informed neural…

Numerical Analysis · Mathematics 2025-05-27 Yajie Ji , Yanlai Chen , Zhenli Xu

Developing enzymes with desired thermal properties is crucial for a wide range of industrial and research applications, and determining temperature stability is an essential step in this process. Experimental determination of thermal…

One approach with rising popularity in analyzing time-dependent problems in science and engineering is the so-called space-time finite-element method that utilized finiteelements in both space and time. A common ansatz in this context is to…

Computational Engineering, Finance, and Science · Computer Science 2022-05-04 Eugen Salzmann , Florian Zwicke , Stefanie Elgeti

Deep convolutional neural networks achieve remarkable performance by exhaustively processing dense spatial feature maps, yet this brute-force strategy introduces significant computational redundancy and encourages reliance on spurious…

Computer Vision and Pattern Recognition · Computer Science 2026-04-15 Tom Devynck , Bilal Faye , Djamel Bouchaffra , Nadjib Lazaar , Hanane Azzag , Mustapha Lebbah

In this work, we propose an end-to-end adaptive sampling neural network (MMPDE-Net) based on the moving mesh method, which can adaptively generate new sampling points by solving the moving mesh PDE. This model focuses on improving the…

Numerical Analysis · Mathematics 2024-06-11 Yu Yang , Qihong Yang , Yangtao Deng , Qiaolin He

Particle-mesh simulations trade small-scale accuracy for speed compared to traditional, computationally expensive N-body codes in cosmological simulations. In this work, we show how a data-driven model could be used to learn an effective…

Cosmology and Nongalactic Astrophysics · Physics 2023-12-01 Nicolas Payot , Pablo Lemos , Laurence Perreault-Levasseur , Carolina Cuesta-Lazaro , Chirag Modi , Yashar Hezaveh

Accurate simulation of turbulent flows is fundamental to scientific and engineering applications. Direct numerical simulation (DNS) offers the highest fidelity but is computationally prohibitive, while existing data-driven alternatives…

Fluid Dynamics · Physics 2026-02-12 Yilong Dai , Shengyu Chen , Xiaowei Jia , Peyman Givi , Runlong Yu

We propose a deep neural network (DNN) as a fast surrogate model for local stress (and in principle strain) calculation in inhomogeneous non-linear material systems. We show that the DNN predicts the local stresses with about 3.8% mean…

Materials Science · Physics 2021-03-17 Jaber Rezaei Mianroodi , Nima H. Siboni , Dierk Raabe

Modern geosteering is heavily dependent on real-time interpretation of deep electromagnetic (EM) measurements. We present a methodology to construct a deep neural network (DNN) model trained to reproduce a full set of extra-deep EM logs…

Signal Processing · Electrical Eng. & Systems 2021-08-16 Sergey Alyaev , Mostafa Shahriari , David Pardo , Angel Javier Omella , David Larsen , Nazanin Jahani , Erich Suter

Speech Emotion Recognition (SER) is widely deployed in Human-Computer Interaction, yet the high computational cost of conventional models hinders their implementation on resource-constrained edge devices. Spiking Neural Networks (SNNs)…

Artificial Intelligence · Computer Science 2026-02-10 Xun Su , Huamin Wang , Qi Zhang

When neural circuits learn to perform a task, it is often the case that there are many sets of synaptic connections that are consistent with the task. However, only a small number of possible solutions are robust to noise in the input and…

Neurons and Cognition · Quantitative Biology 2022-05-31 Ran Rubin , Haim Sompolinsky

Simulating the complex interactions between soft tissues and rigid anatomy is critical for applications in surgical training, planning, and robotic-assisted interventions. Traditional Finite Element Method (FEM)-based simulations, while…

Robotics · Computer Science 2025-08-05 Xintian Yuan , Yunke Ao , Boqi Chen , Philipp Fuernstahl
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