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Learning physical dynamics from data is a fundamental challenge in machine learning and scientific modeling. Real-world observational data are inherently incomplete and irregularly sampled, posing significant challenges for existing…

Machine Learning · Computer Science 2026-05-04 Zihan Zhou , Chenguang Wang , Hongyi Ye , Yongtao Guan , Tianshu Yu

Calibrating the time-dependent Implied Volatility Surface (IVS) using sparse market data is an essential challenge in computational finance, particularly for real-time applications. This task requires not only fitting market data but also…

Computational Finance · Quantitative Finance 2024-11-05 Kentaro Hoshisashi , Carolyn E. Phelan , Paolo Barucca

This paper presents a physics-informed training framework for projection-based Reduced Order Models (ROMs). We extend the PROM-ANN architecture by complementing snapshot-based training with a FEM-based, discrete physics-informed residual…

Machine Learning · Computer Science 2025-10-27 N. Sibuet , S. Ares de Parga , J. R. Bravo , R. Rossi

An alternative data-driven modeling approach has been proposed and employed to gain fundamental insights into robot motion interaction with granular terrain at certain length scales. The approach is based on an integration of dimension…

Robotics · Computer Science 2025-06-13 Guanjin Wang , Xiangxue Zhao , Shapour Azarm , Balakumar Balachandran

We present a latent diffusion-based differentiable inversion method (LD-DIM) for PDE-constrained inverse problems involving high-dimensional spatially distributed coefficients. LD-DIM couples a pretrained latent diffusion prior with an…

Numerical Analysis · Mathematics 2025-12-30 Zihan Lin , QiZhi He

Machine learning (ML) methods, which fit to data the parameters of a given parameterized model class, have garnered significant interest as potential methods for learning surrogate models for complex engineering systems for which…

Machine Learning · Statistics 2024-07-03 Elizabeth Qian , Dayoung Kang , Vignesh Sella , Anirban Chaudhuri

Accurate time-series forecasting for complex physical systems is the backbone of modern industrial monitoring and control, yet deep learning models often lack the physical consistency required in regulated environments.To bridge this gap,…

Machine Learning · Computer Science 2026-05-18 Ramona Rubini , Siavash Khodakarami , Aniruddha Bora , George Em Karniadakis , Michele Dassisti

This letter presents a novel approach in the field of Active Fault Detection (AFD), by explicitly separating the task into two parts: Passive Fault Detection (PFD) and control input design. This formulation is very general, and most…

Machine Learning · Computer Science 2024-05-09 Valentina Zaccaria , Davide Sartor , Simone Del Favero , Gian Antonio Susto

When deploying machine learning estimators in science and engineering (SAE) domains, it is critical to avoid failed estimations that can have disastrous consequences, e.g., in aero engine design. This work focuses on detecting and…

Machine Learning · Computer Science 2023-10-31 Ruiyuan Kang , Tingting Mu , Panos Liatsis , Dimitrios C. Kyritsis

Data-driven methods have become increasingly more prominent for musculoskeletal modelling due to their conceptually intuitive simple and fast implementation. However, the performance of a pre-trained data-driven model using the data from…

Signal Processing · Electrical Eng. & Systems 2022-11-23 Jie Zhang , Yihui Zhao , Tianzhe Bao , Zhenhong Li , Kun Qian , Alejandro F. Frangi , Sheng Quan Xie , Zhi-Qiang Zhang

We propose PHIMO, a physics-informed learning-based motion correction method tailored to quantitative MRI. PHIMO leverages information from the signal evolution to exclude motion-corrupted k-space lines from a data-consistent…

Image and Video Processing · Electrical Eng. & Systems 2024-06-25 Hannah Eichhorn , Veronika Spieker , Kerstin Hammernik , Elisa Saks , Kilian Weiss , Christine Preibisch , Julia A. Schnabel

Fatigue behaviors of metal components by laser fusion suffer from scattering due to random geometrical defects (e.g., porosity, lack of fusion). Monitoring fatigue crack initiation and growth is critical, especially for laser-fused…

Computational Engineering, Finance, and Science · Computer Science 2025-10-27 Panayiotis Kousoulas , Rahul Sharma , Y. B. Guo

Recovering a source signal from indirect measurements often requires estimating latent parameters, such as wireless channel states or MRI coil sensitivities, that cannot be directly observed. Here, we introduce Physics-Embedded Inverse…

Signal Processing · Electrical Eng. & Systems 2026-04-20 Le Cheng , Xiaoran Liu , Lingjin Kong , Haitao Zhao , Jun Xiong , Fanglin Gu , Xiaoying Zhang , Baoquan Ren , Jibo Wei , Hao Yin

This paper introduces an innovative physics-informed deep learning framework for metamodeling of nonlinear structural systems with scarce data. The basic concept is to incorporate physics knowledge (e.g., laws of physics, scientific…

Computational Engineering, Finance, and Science · Computer Science 2020-07-15 Ruiyang Zhang , Yang Liu , Hao Sun

With the increases in computational power and advances in machine learning, data-driven learning-based methods have gained significant attention in solving PDEs. Physics-informed neural networks (PINNs) have recently emerged and succeeded…

Machine Learning · Computer Science 2023-02-07 Namgyu Kang , Byeonghyeon Lee , Youngjoon Hong , Seok-Bae Yun , Eunbyung Park

Physics-informed neural networks (PINNs) have emerged as an effective technique for solving PDEs in a wide range of domains. It is noticed, however, the performance of PINNs can vary dramatically with different sampling procedures. For…

Numerical Analysis · Mathematics 2023-01-18 Zhiwei Gao , Liang Yan , Tao Zhou

In vehicle trajectory prediction, physics models and data-driven models are two predominant methodologies. However, each approach presents its own set of challenges: physics models fall short in predictability, while data-driven models lack…

Machine Learning · Computer Science 2024-03-22 Keke Long , Zihao Sheng , Haotian Shi , Xiaopeng Li , Sikai Chen , Sue Ahn

We introduce a mathematical formulation of feature-informed data assimilation (FIDA). In FIDA, the information about feature events, such as shock waves, level curves, wavefronts and peak value, in dynamical systems are used for the…

Systems and Control · Electrical Eng. & Systems 2022-11-02 Wei Kang , Daniel M. Tartakovsky , Apoorv Srivastava

We develop data-driven algorithms to fully automate sensor fault detection in systems governed by underlying physics. The proposed machine learning method uses a time series of typical behavior to approximate the evolution of measurements…

This rapid communication devises a Neural Induction Machine (NeuIM) model, which pilots the use of physics-informed machine learning to enable AI-based electromagnetic transient simulations. The contributions are threefold: (1) a formation…

Machine Learning · Computer Science 2023-10-02 Qing Shen , Yifan Zhou , Peng Zhang
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