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Robust physics (e.g., governing equations and laws) discovery is of great interest for many engineering fields and explainable machine learning. A critical challenge compared with general training is that the term and format of governing…

Numerical Analysis · Mathematics 2021-02-15 Zhiming Zhang , Yongming Liu

The study presents a general framework for discovering underlying Partial Differential Equations (PDEs) using measured spatiotemporal data. The method, called Sparse Spatiotemporal System Discovery ($\text{S}^3\text{d}$), decides which…

Given a long list of anomaly detection algorithms developed in the last few decades, how do they perform with regard to (i) varying levels of supervision, (ii) different types of anomalies, and (iii) noisy and corrupted data? In this work,…

Machine Learning · Computer Science 2022-09-20 Songqiao Han , Xiyang Hu , Hailiang Huang , Mingqi Jiang , Yue Zhao

We present two approaches to system identification, i.e. the identification of partial differential equations (PDEs) from measurement data. The first is a regression-based Variational System Identification procedure that is advantageous in…

Computational Physics · Physics 2024-03-28 Zhenlin Wang , Bowei Wu , Krishna Garikipati , Xun Huan

Data-driven discovery of partial differential equations (PDEs) has attracted increasing attention in recent years. Although significant progress has been made, certain unresolved issues remain. For example, for PDEs with high-order…

Machine Learning · Computer Science 2021-09-14 Hao Xu , Dongxiao Zhang , Nanzhe Wang

The discovery of partial differential equations (PDEs) is a challenging task that involves both theoretical and empirical methods. Machine learning approaches have been developed and used to solve this problem; however, it is important to…

Machine Learning · Statistics 2023-06-09 Kalpesh More , Tapas Tripura , Rajdip Nayek , Souvik Chakraborty

A critical yet frequently overlooked challenge in the field of deepfake detection is the lack of a standardized, unified, comprehensive benchmark. This issue leads to unfair performance comparisons and potentially misleading results.…

Computer Vision and Pattern Recognition · Computer Science 2023-10-31 Zhiyuan Yan , Yong Zhang , Xinhang Yuan , Siwei Lyu , Baoyuan Wu

Compound AI systems (CASs) that employ LLMs as agents to accomplish knowledge-intensive tasks via interactions with tools and data retrievers have garnered significant interest within database and AI communities. While these systems have…

Databases · Computer Science 2024-06-04 Yanlin Feng , Sajjadur Rahman , Aaron Feng , Vincent Chen , Eser Kandogan

In many scientific fields, the generation and evolution of data are governed by partial differential equations (PDEs) which are typically informed by established physical laws at the macroscopic level to describe general and predictable…

Methodology · Statistics 2025-07-01 Ziyuan Chen , Shunxing Yan , Fang Yao

Many scientific phenomena are modeled by Partial Differential Equations (PDEs). The development of data gathering tools along with the advances in machine learning (ML) techniques have raised opportunities for data-driven identification of…

Machine Learning · Computer Science 2021-05-05 Kazem Meidani , Amir Barati Farimani

Learning multimodal representations involves integrating information from multiple heterogeneous sources of data. It is a challenging yet crucial area with numerous real-world applications in multimedia, affective computing, robotics,…

Empirical and LLM-based research in model-driven engineering increasingly relies on datasets of software models, for instance, to train or evaluate machine learning techniques for modeling support. These datasets have a significant impact…

Software Engineering · Computer Science 2026-03-06 Philipp-Lorenz Glaser , Lola Burgueño , Dominik Bork

We propose a machine learning framework to accelerate numerical computations of time-dependent ODEs and PDEs. Our method is based on recasting (generalizations of) existing numerical methods as artificial neural networks, with a set of…

Numerical Analysis · Mathematics 2019-03-08 Siddhartha Mishra

Inverse problems in partial differential equations (PDEs) involve estimating the physical parameters of a system from observed spatiotemporal solution fields. Neural networks are well-suited for PDE parameter estimation due to their…

Machine Learning · Computer Science 2026-05-27 Divyam Goel , Nithin Chalapathi , Sanjeev Raja , Aditi S. Krishnapriyan

The surging demand for large-scale datasets in deep learning has heightened the need for effective copyright protection, given the risks of unauthorized use to data owners. Although the dataset watermark technique holds promise for auditing…

Cryptography and Security · Computer Science 2026-02-17 Xiao Ren , Xinyi Yu , Linkang Du , Min Chen , Yuanchao Shu , Zhou Su , Yunjun Gao , Zhikun Zhang

Reliability and generalization in deep learning are predominantly studied in the context of image classification. Yet, real-world applications in safety-critical domains involve a broader set of semantic tasks, such as semantic segmentation…

Computer Vision and Pattern Recognition · Computer Science 2025-05-26 Shashank Agnihotri , David Schader , Jonas Jakubassa , Nico Sharei , Simon Kral , Mehmet Ege Kaçar , Ruben Weber , Margret Keuper

Depth estimation is a fundamental task in computer vision with diverse applications. Recent advancements in deep learning have led to powerful depth foundation models (DFMs), yet their evaluation remains challenging due to inconsistencies…

Computer Vision and Pattern Recognition · Computer Science 2025-07-22 Zhenyu Li , Haotong Lin , Jiashi Feng , Peter Wonka , Bingyi Kang

Delay Differential Equations (DDEs) are a class of differential equations that can model diverse scientific phenomena. However, identifying the parameters, especially the time delay, that make a DDE's predictions match experimental results…

Machine Learning · Computer Science 2024-05-16 Robert Stephany

Discovering the governing equations of a dynamical system from observed trajectories provides deeper insight into its structure than mere prediction of future states. We present a data-driven approach to model discovery based on…

Computer Vision and Pattern Recognition · Computer Science 2026-05-27 Martin Brückmann , Babette Dellen , Uwe Jaekel

Many physical processes such as weather phenomena or fluid mechanics are governed by partial differential equations (PDEs). Modelling such dynamical systems using Neural Networks is an active research field. However, current methods are…

Machine Learning · Computer Science 2022-10-12 Andrzej Dulny , Andreas Hotho , Anna Krause