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Material identification is critical for understanding the relationship between mechanical properties and the associated mechanical functions. However, material identification is a challenging task, especially when the characteristic of the…

Materials Science · Physics 2022-11-29 Wensi Wu , Mitchell Daneker , Matthew A. Jolley , Kevin T. Turner , Lu Lu

Deep learning (DL) models have received particular attention in medical imaging due to their promising pattern recognition capabilities. However, Deep Neural Networks (DNNs) require a huge amount of data, and because of the lack of…

Image and Video Processing · Electrical Eng. & Systems 2021-07-27 Donya Khaledyan , AmirReza Tajally , Ali Sarkhosh , Afshar Shamsi , Hamzeh Asgharnezhad , Abbas Khosravi , Saeid Nahavandi

Deep neural networks (DNNs) are becoming more prevalent in important safety-critical applications, where reliability in the prediction is paramount. Despite their exceptional prediction capabilities, current DNNs do not have an implicit…

Machine Learning · Computer Science 2021-05-14 David Betancourt , Rafi Muhanna

We introduce Nonlinear GENERIC Informed Neural Networks (N-GINNs), a deep learning framework for discovering evolution equations of systems governed by the nonlinear GENERIC formalism (General Equation for Non-Equilibrium…

Computational Physics · Physics 2026-05-12 Vojtěch Votruba , Zequn He , Weilun Qiu , Celia Reina , Michal Pavelka

Deep learning has emerged as a prominent field in recent literature, showcasing the introduction of models that utilize transfer learning to achieve remarkable accuracies in the classification of brain tumor MRI images. However, the…

Computer Vision and Pattern Recognition · Computer Science 2023-08-15 Raza Imam , Mohammed Talha Alam

This paper investigates dynamic behaviors of the tumor-immune system perturbed by environmental noise. The model describes the response of the cytotoxic T lymphocyte (CTL) to the growth of an immunogenic tumour. The main methods are…

Probability · Mathematics 2019-02-06 Xiaoyue Li , Guoting Song , Yang Xia , Chenggui Yuan

Physics-informed neural networks (PINNs) represent a new paradigm for solving partial differential equations (PDEs) by integrating physical laws into the learning process of neural networks. However, ensuring that such frameworks fully…

Machine Learning · Computer Science 2025-12-12 Nanxi Chen , Sifan Wang , Rujin Ma , Airong Chen , Chuanjie Cui

Differential equations are indispensable to engineering and hence to innovation. In recent years, physics-informed neural networks (PINN) have emerged as a novel method for solving differential equations. PINN method has the advantage of…

Computational Engineering, Finance, and Science · Computer Science 2022-01-07 Mayank Raj , Pramod Kumbhar , Ratna Kumar Annabattula

This study explores the application of Quantum Convolutional Neural Networks (QCNNs) for brain tumor classification using MRI images, leveraging quantum computing for enhanced computational efficiency. A dataset of 3,264 MRI images,…

The widespread use of neural networks across different scientific domains often involves constraining them to satisfy certain symmetries, conservation laws, or other domain knowledge. Such constraints are often imposed as soft penalties…

Machine Learning · Computer Science 2020-01-15 Sifan Wang , Yujun Teng , Paris Perdikaris

Quantitative systems pharmacology (QSP) is widely used to assess drug effects and toxicity before the drug goes to clinical trial. However, significant manual distillation of the literature is needed in order to construct a QSP model.…

Quantitative Methods · Quantitative Biology 2024-04-15 Lena Podina , Ali Ghodsi , Mohammad Kohandel

In the context of survival analysis, data-driven neural network-based methods have been developed to model complex covariate effects. While these methods may provide better predictive performance than regression-based approaches, not all…

Machine Learning · Statistics 2024-04-23 Jesse Islam , Maxime Turgeon , Robert Sladek , Sahir Bhatnagar

We tackle the challenge of predicting vibrational stability in inorganic semiconductors for high-throughput screening, an essential attribute for evaluating synthesizability alongside thermodynamic stability, frequently missing in prominent…

Materials Science · Physics 2025-12-29 M. H. Zeb , M. Z. Kabir

We present a deep learning framework for quantifying and propagating uncertainty in systems governed by non-linear differential equations using physics-informed neural networks. Specifically, we employ latent variable models to construct…

Machine Learning · Statistics 2019-06-26 Yibo Yang , Paris Perdikaris

We introduce the concept of a Graph-Informed Neural Network (GINN), a hybrid approach combining deep learning with probabilistic graphical models (PGMs) that acts as a surrogate for physics-based representations of multiscale and…

Computational Physics · Physics 2021-03-17 Eric J. Hall , Søren Taverniers , Markos A. Katsoulakis , Daniel M. Tartakovsky

We introduce a new architecture called a conditional invertible neural network (cINN), and use it to address the task of diverse image-to-image translation for natural images. This is not easily possible with existing INN models due to some…

Computer Vision and Pattern Recognition · Computer Science 2021-05-06 Lynton Ardizzone , Jakob Kruse , Carsten Lüth , Niels Bracher , Carsten Rother , Ullrich Köthe

Classical deep neural networks can learn rich multi-particle correlations in collider data, but their inductive biases are rarely anchored in physics structure. We propose quantum-informed neural networks (QINNs), a general framework that…

High Energy Physics - Phenomenology · Physics 2025-10-22 Aritra Bal , Markus Klute , Benedikt Maier , Melik Oughton , Eric Pezone , Michael Spannowsky

Neural networks can be trained to solve partial differential equations (PDEs) by using the PDE residual as the loss function. This strategy is called "physics-informed neural networks" (PINNs), but it currently cannot produce high-accuracy…

Machine Learning · Computer Science 2024-04-11 Qi Zeng , Yash Kothari , Spencer H. Bryngelson , Florian Schäfer

The discovery of constitutive models for hyperelastic materials is essential yet challenging due to their nonlinear behavior and the limited availability of experimental data. Traditional methods typically require extensive stress-strain or…

Computational Physics · Physics 2025-12-22 Hyeonbin Moon , Donggeun Park , Hanbin Cho , Hong-Kyun Noh , Jae hyuk Lim , Seunghwa Ryu

We investigate the use of discrete and continuous versions of physics-informed neural network methods for learning unknown dynamics or constitutive relations of a dynamical system. For the case of unknown dynamics, we represent all the…

Machine Learning · Computer Science 2019-04-11 Ramakrishna Tipireddy , Paris Perdikaris , Panos Stinis , Alexandre Tartakovsky
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