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Active stress models in cardiac biomechanics account for the mechanical deformation caused by muscle activity, thus providing a link between the electrophysiological and mechanical properties of the tissue. The accurate assessment of active…

Physics-informed neural networks (PINNs) impose known physical laws into the learning of deep neural networks, making sure they respect the physics of the process while decreasing the demand of labeled data. For systems represented by…

Motivated by recent research on Physics-Informed Neural Networks (PINNs), we make the first attempt to introduce the PINNs for numerical simulation of the elliptic Partial Differential Equations (PDEs) on 3D manifolds. PINNs are one of the…

数值分析 · 数学 2021-03-05 Zhuochao Tang , Zhuojia Fu

Physics-informed neural networks (PINNs) effectively embed physical principles into machine learning, but often struggle with complex or alternating geometries. We propose a novel method for integrating geometric transformations within…

机器学习 · 计算机科学 2023-11-30 Samuel Burbulla

Deep learning has shown remarkable results for image analysis and is expected to aid individual treatment decisions in health care. To achieve this, deep learning methods need to be promoted from the level of mere associations to being able…

机器学习 · 计算机科学 2022-05-02 Wouter A. C. van Amsterdam , Marinus J. C. Eijkemans

Multifidelity simulation methodologies are often used in an attempt to judiciously combine low-fidelity and high-fidelity simulation results in an accuracy-increasing, cost-saving way. Candidates for this approach are simulation…

计算物理 · 物理学 2023-01-09 Michael Penwarden , Shandian Zhe , Akil Narayan , Robert M. Kirby

Prognostic task is of great importance as it closely related to the survival analysis of patients, the optimization of treatment plans and the allocation of resources. The existing prognostic models have shown promising results on specific…

图像与视频处理 · 电气工程与系统科学 2025-01-14 Binyu Zhang , Shichao Li , Junpeng Jian , Zhu Meng , Limei Guo , Zhicheng Zhao

This article proposes a data-driven PID controller design based on the principle of adaptive gain optimization, leveraging Physics-Informed Neural Networks (PINNs) generated for predictive modeling purposes. The proposed control design…

系统与控制 · 电气工程与系统科学 2025-10-09 Junsei Ito , Yasuaki Wasa

Physics-Informed Neural Networks (PINNs) have been widely used to obtain solutions to various physical phenomena modeled as Differential Equations. As PINNs are not naturally equipped with mechanisms for Uncertainty Quantification, some…

机器学习 · 计算机科学 2025-06-05 Pablo Flores , Olga Graf , Pavlos Protopapas , Karim Pichara

We propose characteristics-informed neural networks (CINN), a simple and efficient machine learning approach for solving forward and inverse problems involving hyperbolic PDEs. Like physics-informed neural networks (PINN), CINN is a…

机器学习 · 计算机科学 2023-01-16 Ulisses Braga-Neto

Physics-Informed Neural Networks (PINNs) have emerged as a highly active research topic across multiple disciplines in science and engineering, including computational geomechanics. PINNs offer a promising approach in different applications…

计算工程、金融与科学 · 计算机科学 2024-04-30 Yared W. Bekele

Physics-informed neural networks (PINNs) are numerical solvers that embed all the physical information of a system into the loss function of a neural network. In this way the learned solution accounts for data (if available), the governing…

Physics-informed neural networks (PINNs) have been widely applied in different fields due to their effectiveness in solving partial differential equations (PDEs). However, the accuracy and efficiency of PINNs need to be considerably…

机器学习 · 计算机科学 2023-08-16 Weilong Guan , Kaihan Yang , Yinsheng Chen , Zhong Guan

Cancer is a complex disease driven by dynamic regulatory shifts that cannot be fully captured by individual molecular profiling. We employ a data-driven approach to construct a coarse-grained dynamic network model based on hallmark…

定量方法 · 定量生物学 2025-02-28 Jiahe Wang , Yan Wu , Yuke Hou , Yang Li , Dachuan Xu , Changjing Zhuge , Yue Han

Biomechanical modelling of soft tissue provides a non-data-driven method for constraining medical image registration, such that the estimated spatial transformation is considered biophysically plausible. This has not only been adopted in…

图像与视频处理 · 电气工程与系统科学 2023-02-22 Zhe Min , Zachary M. C. Baum , Shaheer U. Saeed , Mark Emberton , Dean C. Barratt , Zeike A. Taylor , Yipeng Hu

We introduce a novel data-driven framework for the design of targeted gene panels for estimating exome-wide biomarkers in cancer immunotherapy. Our first goal is to develop a generative model for the profile of mutation across the exome,…

基因组学 · 定量生物学 2022-02-04 Jacob R. Bradley , Timothy I. Cannings

Solving analytically intractable partial differential equations (PDEs) that involve at least one variable defined on an unbounded domain arises in numerous physical applications. Accurately solving unbounded domain PDEs requires efficient…

机器学习 · 计算机科学 2026-05-12 Mingtao Xia , Lucas Böttcher , Tom Chou

Introduction: The present study on the development and evaluation of an automated brain tumor segmentation technique based on deep learning using the 3D U-Net model. Objectives: The objective is to leverage state-of-the-art convolutional…

图像与视频处理 · 电气工程与系统科学 2024-04-10 Suman Sourabh , Murugappan Valliappan , Narayana Darapaneni , Anwesh R P

Direct observations of earthquake nucleation and propagation are few and yet the next decade will likely see an unprecedented increase in indirect, surface observations that must be integrated into modeling efforts. Machine learning (ML)…

数学物理 · 物理学 2024-07-25 Cody Rucker , Brittany A. Erickson

Cancer remains one of the most challenging diseases to treat in the medical field. Machine learning has enabled in-depth analysis of rich multi-omics profiles and medical imaging for cancer diagnosis and prognosis. Despite these…

机器学习 · 计算机科学 2024-01-15 Lingchao Mao , Hairong Wang , Leland S. Hu , Nhan L Tran , Peter D Canoll , Kristin R Swanson , Jing Li
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