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Dimensionless numbers and scaling laws provide elegant insights into the characteristic properties of physical systems. Classical dimensional analysis and similitude theory fail to identify a set of unique dimensionless numbers for a…

Fluid Dynamics · Physics 2022-12-28 Xiaoyu Xie , Wing Kam Liu , Zhengtao Gan

Learning the dynamics of robots from data can help achieve more accurate tracking controllers, or aid their navigation algorithms. However, when the actual dynamics of the robots change due to external conditions, on-line adaptation of…

Robotics · Computer Science 2019-03-14 Bilal Wehbe , Marc Hildebrandt , Frank Kirchner

There have been growing interests in leveraging experimental measurements to discover the underlying partial differential equations (PDEs) that govern complex physical phenomena. Although past research attempts have achieved great success…

Machine Learning · Computer Science 2023-05-23 Chengping Rao , Pu Ren , Yang Liu , Hao Sun

Synthetic datasets are widely used for training urban scene recognition models, but even highly realistic renderings show a noticeable gap to real imagery. This gap is particularly pronounced when adapting to a specific target domain, such…

Computer Vision and Pattern Recognition · Computer Science 2025-10-14 Denis Zavadski , Damjan Kalšan , Tim Küchler , Haebom Lee , Stefan Roth , Carsten Rother

Dynamical systems describe the changes in processes that arise naturally from their underlying physical principles, such as the laws of motion or the conservation of mass, energy or momentum. These models facilitate a causal explanation for…

Methodology · Statistics 2023-10-11 Michelle Carey , James O. Ramsay

Predicting the dynamics of complex systems is crucial for various scientific and engineering applications. The accuracy of predictions depends on the model's ability to capture the intrinsic dynamics. While existing methods capture key…

Computational Engineering, Finance, and Science · Computer Science 2025-06-10 Ruikun Li , Jingwen Cheng , Huandong Wang , Qingmin Liao , Yong Li

Identification of nonlinear dynamical systems is crucial across various fields, facilitating tasks such as control, prediction, optimization, and fault detection. Many applications require methods capable of handling complex systems while…

Machine Learning · Statistics 2024-11-05 Luc Brogat-Motte , Riccardo Bonalli , Alessandro Rudi

This article presents a general framework for recovering missing dynamical systems using available data and machine learning techniques. The proposed framework reformulates the prediction problem as a supervised learning problem to…

Numerical Analysis · Mathematics 2020-10-20 John Harlim , Shixiao W. Jiang , Senwei Liang , Haizhao Yang

Automatic machine learning of empirical models from experimental data has recently become possible as a result of increased availability of computational power and dedicated algorithms. Despite the successes of non-parametric inference and…

Statistical Mechanics · Physics 2024-06-04 Yunfei Huang , Youssef Mabrouk , Gerhard Gompper , Benedikt Sabass

Accurate prediction of climate in the subseasonal-to-seasonal scale is crucial for disaster preparedness and robust decision making amidst climate change. Yet, forecasting beyond the weather timescale is challenging because it deals with…

Computer Vision and Pattern Recognition · Computer Science 2024-11-22 Juan Nathaniel , Yongquan Qu , Tung Nguyen , Sungduk Yu , Julius Busecke , Aditya Grover , Pierre Gentine

The objective for establishing dense correspondence between paired images consists of two terms: a data term and a prior term. While conventional techniques focused on defining hand-designed prior terms, which are difficult to formulate,…

Computer Vision and Pattern Recognition · Computer Science 2024-01-26 Jisu Nam , Gyuseong Lee , Sunwoo Kim , Hyeonsu Kim , Hyoungwon Cho , Seyeon Kim , Seungryong Kim

Set prediction is about learning to predict a collection of unordered variables with unknown interrelations. Training such models with set losses imposes the structure of a metric space over sets. We focus on stochastic and underdefined…

Machine Learning · Computer Science 2021-02-23 David W. Zhang , Gertjan J. Burghouts , Cees G. M. Snoek

This paper is concerned with identifying linear system dynamics without the knowledge of individual system trajectories, but from the knowledge of the system's reachable sets observed at different times. Motivated by a scenario where the…

Systems and Control · Electrical Eng. & Systems 2023-09-11 Taha Shafa , Roy Dong , Melkior Ornik

WeatherBench 2 is an update to the global, medium-range (1-14 day) weather forecasting benchmark proposed by Rasp et al. (2020), designed with the aim to accelerate progress in data-driven weather modeling. WeatherBench 2 consists of an…

Advancements in high-computing devices increase the necessity for improved and new understanding and development of smart manufacturing factories. Discrete-event models with simulators have been shown to be critical to architect, designing,…

Machine Learning · Computer Science 2024-08-20 Vamsi Krishna Pendyala , Hessam S. Sarjoughian , Bala Potineni , Edward J. Yellig

Object recognition has made great advances in the last decade, but predominately still relies on many high-quality training examples per object category. In contrast, learning new objects from only a few examples could enable many impactful…

Computer Vision and Pattern Recognition · Computer Science 2021-10-11 Daniela Massiceti , Luisa Zintgraf , John Bronskill , Lida Theodorou , Matthew Tobias Harris , Edward Cutrell , Cecily Morrison , Katja Hofmann , Simone Stumpf

Automated data-driven modeling, the process of directly discovering the governing equations of a system from data, is increasingly being used across the scientific community. PySINDy is a Python package that provides tools for applying the…

We present Lift & Learn, a physics-informed method for learning low-dimensional models for large-scale dynamical systems. The method exploits knowledge of a system's governing equations to identify a coordinate transformation in which the…

Numerical Analysis · Mathematics 2020-07-14 Elizabeth Qian , Boris Kramer , Benjamin Peherstorfer , Karen Willcox

The increasing demand for autonomous machines in construction environments necessitates the development of robust object detection algorithms that can perform effectively across various weather and environmental conditions. This paper…

Computer Vision and Pattern Recognition · Computer Science 2024-01-22 Maghsood Salimi , Mohammad Loni , Sara Afshar , Antonio Cicchetti , Marjan Sirjani

Unsupervised representation learning, particularly sequential disentanglement, aims to separate static and dynamic factors of variation in data without relying on labels. This remains a challenging problem, as existing approaches based on…

Machine Learning · Computer Science 2025-10-08 Hedi Zisling , Ilan Naiman , Nimrod Berman , Supasorn Suwajanakorn , Omri Azencot
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