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In this paper, we present an initial attempt to learn evolution PDEs from data. Inspired by the latest development of neural network designs in deep learning, we propose a new feed-forward deep network, called PDE-Net, to fulfill two…

Numerical Analysis · Mathematics 2018-01-03 Zichao Long , Yiping Lu , Xianzhong Ma , Bin Dong

Topology optimization is used for the design of high-performance structures but remains fundamentally limited by its iterative nature, requiring repeated finite element analyses that prevent real-time deployment and large-scale design…

Computational Engineering, Finance, and Science · Computer Science 2026-04-07 Aaron Lutheran , Srijan Das , Alireza Tabarraei

Nonlinear physical phenomena often show complex multiscale interactions; motivated by the principles of multiscale modeling in scientific computing, we propose PAS-Net, a physics-informed Adaptive-Scale Deep Operator Network for learning…

Computational Physics · Physics 2025-11-20 Changhong Mou , Yeyu Zhang , Xuewen Zhu , Qiao Zhuang

Learned frame prediction is a current problem of interest in computer vision and video compression. Although several deep network architectures have been proposed for learned frame prediction, to the best of our knowledge, there is no work…

Computer Vision and Pattern Recognition · Computer Science 2021-05-28 M. Akın Yılmaz , A. Murat Tekalp

Reasoning about the trajectories of multiple, interacting objects is integral to physical reasoning tasks in machine learning. This involves conditions imposed on the objects at different time steps, for instance initial states or desired…

Machine Learning · Computer Science 2025-07-08 Moritz Lange , Raphael C. Engelhardt , Wolfgang Konen , Andrew Melnik , Laurenz Wiskott

Object-centric representation is an essential abstraction for forward prediction. Most existing forward models learn this representation through extensive supervision (e.g., object class and bounding box) although such ground-truth…

Computer Vision and Pattern Recognition · Computer Science 2023-08-08 Alireza Rezazadeh , Changhyun Choi

Articulation modeling enables robots to learn joint parameters of articulated objects for effective manipulation which can then be used downstream for skill learning or planning. Existing approaches often rely on prior knowledge about the…

Robotics · Computer Science 2026-02-04 Anmol Gupta , Weiwei Gu , Omkar Patil , Jun Ki Lee , Nakul Gopalan

We present a novel physics-informed deep learning framework for solving steady-state incompressible flow on multiple sets of irregular geometries by incorporating two main elements: using a point-cloud based neural network to capture…

Fluid Dynamics · Physics 2022-10-28 Ali Kashefi , Tapan Mukerji

Capturing contextual dependencies has proven useful to improve the representational power of deep neural networks. Recent approaches that focus on modeling global context, such as self-attention and non-local operation, achieve this goal by…

Computer Vision and Pattern Recognition · Computer Science 2021-06-15 Shenao Zhang , Li Shen , Zhifeng Li , Wei Liu

Spatiotemporal predictive learning (STPL) aims to forecast future frames from past observations and is essential across a wide range of applications. Compared with recurrent or hybrid architectures, pure convolutional models offer superior…

Computer Vision and Pattern Recognition · Computer Science 2026-04-23 Xinyong Cai , Changbin Sun , Yong Wang , Hongyu Yang , Yuankai Wu

From just a glance, humans can make rich predictions about the future state of a wide range of physical systems. On the other hand, modern approaches from engineering, robotics, and graphics are often restricted to narrow domains and…

Computer Vision and Pattern Recognition · Computer Science 2017-06-06 Nicholas Watters , Andrea Tacchetti , Theophane Weber , Razvan Pascanu , Peter Battaglia , Daniel Zoran

Extracting and predicting object structure and dynamics from videos without supervision is a major challenge in machine learning. To address this challenge, we adopt a keypoint-based image representation and learn a stochastic dynamics…

Computer Vision and Pattern Recognition · Computer Science 2020-03-03 Matthias Minderer , Chen Sun , Ruben Villegas , Forrester Cole , Kevin Murphy , Honglak Lee

The robotic systems continuously interact with complex dynamical systems in the physical world. Reliable predictions of spatiotemporal evolution of these dynamical systems, with limited knowledge of system dynamics, are crucial for…

Artificial Intelligence · Computer Science 2019-01-08 Yun Long , Xueyuan She , Saibal Mukhopadhyay

We propose the Topology-Preserving Segmentation Network, a deformation-based model that can extract objects in an image while maintaining their topological properties. This network generates segmentation masks that have the same topology as…

Computer Vision and Pattern Recognition · Computer Science 2024-06-18 Han Zhang , Lok Ming Lui

While deep learning has shown tremendous success in a wide range of domains, it remains a grand challenge to incorporate physical principles in a systematic manner to the design, training, and inference of such models. In this paper, we aim…

Computational Physics · Physics 2020-06-16 Rui Wang , Karthik Kashinath , Mustafa Mustafa , Adrian Albert , Rose Yu

We present an approach to robustly track the geometry of an object that deforms over time from a set of input point clouds captured from a single viewpoint. The deformations we consider are caused by applying forces to known locations on…

Computer Vision and Pattern Recognition · Computer Science 2015-03-31 Stefanie Wuhrer , Jochen Lang , Motahareh Tekieh , Chang Shu

Predicting the evolution of systems that exhibit spatio-temporal dynamics in response to external stimuli is a key enabling technology fostering scientific innovation. Traditional equations-based approaches leverage first principles to…

Machine Learning · Computer Science 2023-05-02 Francesco Regazzoni , Stefano Pagani , Matteo Salvador , Luca Dede' , Alfio Quarteroni

Much attention has recently been devoted to data-based computing of evolution of physical systems. In such approaches, information about data points from past trajectories in phase space is used to reconstruct the equations of motion and to…

Machine Learning · Computer Science 2026-03-24 Christopher Eldred , François Gay-Balmaz , Vakhtang Putkaradze

We introduce P2P-NET, a general-purpose deep neural network which learns geometric transformations between point-based shape representations from two domains, e.g., meso-skeletons and surfaces, partial and complete scans, etc. The…

Graphics · Computer Science 2018-05-16 Kangxue Yin , Hui Huang , Daniel Cohen-Or , Hao Zhang

Short-term demand forecasting models commonly combine convolutional and recurrent layers to extract complex spatiotemporal patterns in data. Long-term histories are also used to consider periodicity and seasonality patterns as time series…

Machine Learning · Computer Science 2019-10-15 Doyup Lee , Suehun Jung , Yeongjae Cheon , Dongil Kim , Seungil You
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