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To make progress in science, we often build abstract representations of physical systems that meaningfully encode information about the systems. The representations learnt by most current machine learning techniques reflect statistical…

Neural networks have the ability to serve as universal function approximators, but they are not interpretable and don't generalize well outside of their training region. Both of these issues are problematic when trying to apply standard…

Machine Learning · Computer Science 2023-08-21 Colby Fronk , Linda Petzold

Despite having been studied to a great extent, the task of conditional generation of sequences of frames, or videos, remains extremely challenging. It is a common belief that a key step towards solving this task resides in modelling…

Computer Vision and Pattern Recognition · Computer Science 2021-09-09 David Kanaa , Vikram Voleti , Samira Ebrahimi Kahou , Christopher Pal

With the increasing consumption of 3D displays and virtual reality, multi-view video has become a promising format. However, its high resolution and multi-camera shooting result in a substantial increase in data volume, making storage and…

Computer Vision and Pattern Recognition · Computer Science 2023-11-30 Chen Zhu , Guo Lu , Bing He , Rong Xie , Li Song

Neural implicit shape representations are an emerging paradigm that offers many potential benefits over conventional discrete representations, including memory efficiency at a high spatial resolution. Generalizing across shapes with such…

Computer Vision and Pattern Recognition · Computer Science 2020-06-18 Vincent Sitzmann , Eric R. Chan , Richard Tucker , Noah Snavely , Gordon Wetzstein

Synthesizing photo-realistic images and videos is at the heart of computer graphics and has been the focus of decades of research. Traditionally, synthetic images of a scene are generated using rendering algorithms such as rasterization or…

Ordinary differential equations (ODEs) can provide mechanistic models of temporally local changes of processes, where parameters are often informed by external knowledge. While ODEs are popular in systems modeling, they are less established…

Methodology · Statistics 2025-07-10 Maren Hackenberg , Astrid Pechmann , Clemens Kreutz , Janbernd Kirschner , Harald Binder

Understanding real-world dynamical phenomena remains a challenging task. Across various scientific disciplines, machine learning has advanced as the go-to technology to analyze nonlinear dynamical systems, identify patterns in big data, and…

Machine Learning · Computer Science 2022-12-07 Kevin Linka , Amelie Schafer , Xuhui Meng , Zongren Zou , George Em Karniadakis , Ellen Kuhl

Given a visual scene, humans have strong intuitions about how a scene can evolve over time under given actions. The intuition, often termed visual intuitive physics, is a critical ability that allows us to make effective plans to manipulate…

Computer Vision and Pattern Recognition · Computer Science 2023-04-25 Haotian Xue , Antonio Torralba , Joshua B. Tenenbaum , Daniel LK Yamins , Yunzhu Li , Hsiao-Yu Tung

Videos depict the change of complex dynamical systems over time in the form of discrete image sequences. Generating controllable videos by learning the dynamical system is an important yet underexplored topic in the computer vision…

Computer Vision and Pattern Recognition · Computer Science 2023-04-05 Yucheng Xu , Li Nanbo , Arushi Goel , Zijian Guo , Zonghai Yao , Hamidreza Kasaei , Mohammadreze Kasaei , Zhibin Li

Implicit neural representations (INR) have gained increasing attention in representing 3D scenes and images, and have been recently applied to encode videos (e.g., NeRV, E-NeRV). While achieving promising results, existing INR-based methods…

Computer Vision and Pattern Recognition · Computer Science 2023-03-27 Bo He , Xitong Yang , Hanyu Wang , Zuxuan Wu , Hao Chen , Shuaiyi Huang , Yixuan Ren , Ser-Nam Lim , Abhinav Shrivastava

We propose a framework for aligning and fusing multiple images into a single view using neural image representations (NIRs), also known as implicit or coordinate-based neural representations. Our framework targets burst images that exhibit…

Computer Vision and Pattern Recognition · Computer Science 2022-07-22 Seonghyeon Nam , Marcus A. Brubaker , Michael S. Brown

We explore how neural differential equations (NDEs) may be trained on highly resolved fluid-dynamical models of unresolved scales providing an ideal framework for data-driven parameterizations in climate models. NDEs overcome some of the…

Traditional 3D morphable face models (3DMMs) provide fine-grained control over expression but cannot easily capture geometric and appearance details. Neural volumetric representations approach photorealism but are hard to animate and do not…

Computer Vision and Pattern Recognition · Computer Science 2022-11-07 Yufeng Zheng , Victoria Fernández Abrevaya , Marcel C. Bühler , Xu Chen , Michael J. Black , Otmar Hilliges

Video-based representations have gained prominence in planning and decision-making due to their ability to encode rich spatiotemporal dynamics and geometric relationships. These representations enable flexible and generalizable solutions…

Robotics · Computer Science 2026-02-11 Po-Chen Ko , Jiayuan Mao , Yu-Hsiang Fu , Hsien-Jeng Yeh , Chu-Rong Chen , Wei-Chiu Ma , Yilun Du , Shao-Hua Sun

Neural Ordinary Differential Equations (NODEs) use a neural network to model the instantaneous rate of change in the state of a system. However, despite their apparent suitability for dynamics-governed time-series, NODEs present a few…

Machine Learning · Computer Science 2021-08-18 Alexander Norcliffe , Cristian Bodnar , Ben Day , Jacob Moss , Pietro Liò

Simulations of complex physical systems are typically realized by discretizing partial differential equations (PDEs) on unstructured meshes. While neural networks have recently been explored for surrogate and reduced order modeling of PDE…

Machine Learning · Computer Science 2021-10-27 Jiayang Xu , Aniruddhe Pradhan , Karthik Duraisamy

We introduce an improved solution to the neural image-based rendering problem in computer vision. Given a set of images taken from a freely moving camera at train time, the proposed approach could synthesize a realistic image of the scene…

Computer Vision and Pattern Recognition · Computer Science 2023-11-09 Nishant Jain , Suryansh Kumar , Luc Van Gool

For many of the physical phenomena around us, we have developed sophisticated models explaining their behavior. Nevertheless, inferring specifics from visual observations is challenging due to the high number of causally underlying physical…

Computer Vision and Pattern Recognition · Computer Science 2019-10-18 Tom F. H. Runia , Kirill Gavrilyuk , Cees G. M. Snoek , Arnold W. M. Smeulders

When learning dynamical systems from data, embedding physical structure can constrain the solution space and improve generalization, but many physics-informed models assume access to the full system state. This limits their use in partially…

Machine Learning · Computer Science 2026-05-25 Sunniva Meltzer , Sølve Eidnes , Alexander Johannes Stasik
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