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Classical neural ODEs trained with explicit methods are intrinsically limited by stability, crippling their efficiency and robustness for stiff learning problems that are common in graph learning and scientific machine learning. We present…

Machine Learning · Computer Science 2024-12-17 Hong Zhang , Ying Liu , Romit Maulik

While deep learning methods have achieved impressive success in many vision benchmarks, it remains difficult to understand and explain the representations and decisions of these models. Though vision models are typically trained on 2D…

Computer Vision and Pattern Recognition · Computer Science 2026-02-24 Benjamin Beilharz , Thomas S. A. Wallis

Video prediction is a crucial task for intelligent agents such as robots and autonomous vehicles, since it enables them to anticipate and act early on time-critical incidents. State-of-the-art video prediction methods typically model the…

Computer Vision and Pattern Recognition · Computer Science 2025-01-22 Eliyas Suleyman , Paul Henderson , Nicolas Pugeault

Recently, implicit neural representations have gained popularity for learning-based 3D reconstruction. While demonstrating promising results, most implicit approaches are limited to comparably simple geometry of single objects and do not…

Computer Vision and Pattern Recognition · Computer Science 2020-08-04 Songyou Peng , Michael Niemeyer , Lars Mescheder , Marc Pollefeys , Andreas Geiger

Modeling scene geometry using implicit neural representation has revealed its advantages in accuracy, flexibility, and low memory usage. Previous approaches have demonstrated impressive results using color or depth images but still have…

Robotics · Computer Science 2023-03-01 Dongyu Yan , Xiaoyang Lyu , Jieqi Shi , Yi Lin

Representing shapes as level sets of neural networks has been recently proved to be useful for different shape analysis and reconstruction tasks. So far, such representations were computed using either: (i) pre-computed implicit shape…

Machine Learning · Computer Science 2020-07-10 Amos Gropp , Lior Yariv , Niv Haim , Matan Atzmon , Yaron Lipman

In this paper, we address the issue of modeling and estimating changes in the state of the spatio-temporal dynamical systems based on a sequence of observations like video frames. Traditional numerical simulation systems depend largely on…

Machine Learning · Computer Science 2024-02-12 Kun Wang , Hao Wu , Guibin Zhang , Junfeng Fang , Yuxuan Liang , Yuankai Wu , Roger Zimmermann , Yang Wang

Identifying accurate dynamic models is required for the simulation and control of various technical systems. In many important real-world applications, however, the two main modeling approaches often fail to meet requirements: first…

Machine Learning · Computer Science 2021-04-19 Manuel A. Roehrl , Thomas A. Runkler , Veronika Brandtstetter , Michel Tokic , Stefan Obermayer

Neural networks are a popular tool for modeling sequential data but they generally do not treat time as a continuous variable. Neural ODEs represent an important exception: they parameterize the time derivative of a hidden state with a…

Machine Learning · Computer Science 2021-06-15 Sam Greydanus , Stefan Lee , Alan Fern

We introduce latent intuitive physics, a transfer learning framework for physics simulation that can infer hidden properties of fluids from a single 3D video and simulate the observed fluid in novel scenes. Our key insight is to use latent…

Artificial Intelligence · Computer Science 2024-08-06 Xiangming Zhu , Huayu Deng , Haochen Yuan , Yunbo Wang , Xiaokang Yang

Learning interpretable representations of visual data is an important challenge, to make machines' decisions understandable to humans and to improve generalisation outside of the training distribution. To this end, we propose a deep…

Computer Vision and Pattern Recognition · Computer Science 2024-10-25 Marian Longa , João F. Henriques

A human 3D avatar is one of the important elements in the metaverse, and the modeling effect directly affects people's visual experience. However, the human body has a complex topology and diverse details, so it is often expensive,…

Computer Vision and Pattern Recognition · Computer Science 2023-06-07 Mingyang Sun , Dingkang Yang , Dongliang Kou , Yang Jiang , Weihua Shan , Zhe Yan , Lihua Zhang

High-quality reconstruction of controllable 3D head avatars from 2D videos is highly desirable for virtual human applications in movies, games, and telepresence. Neural implicit fields provide a powerful representation to model 3D head…

Computer Vision and Pattern Recognition · Computer Science 2023-04-24 Chuhan Chen , Matthew O'Toole , Gaurav Bharaj , Pablo Garrido

Implicit representations of 3D objects have recently achieved impressive results on learning-based 3D reconstruction tasks. While existing works use simple texture models to represent object appearance, photo-realistic image synthesis…

Computer Vision and Pattern Recognition · Computer Science 2020-03-30 Michael Oechsle , Michael Niemeyer , Lars Mescheder , Thilo Strauss , Andreas Geiger

We present a method to map 2D image observations of a scene to a persistent 3D scene representation, enabling novel view synthesis and disentangled representation of the movable and immovable components of the scene. Motivated by the…

Computer Vision and Pattern Recognition · Computer Science 2023-04-11 Prafull Sharma , Ayush Tewari , Yilun Du , Sergey Zakharov , Rares Ambrus , Adrien Gaidon , William T. Freeman , Fredo Durand , Joshua B. Tenenbaum , Vincent Sitzmann

Recently, the image-wise implicit neural representation of videos, NeRV, has gained popularity for its promising results and swift speed compared to regular pixel-wise implicit representations. However, the redundant parameters within the…

Computer Vision and Pattern Recognition · Computer Science 2022-07-19 Zizhang Li , Mengmeng Wang , Huaijin Pi , Kechun Xu , Jianbiao Mei , Yong Liu

Rigid body interactions are fundamental to numerous scientific disciplines, but remain challenging to simulate due to their abrupt nonlinear nature and sensitivity to complex, often unknown environmental factors. These challenges call for…

Machine Learning · Computer Science 2025-07-28 Amaury Wei , Olga Fink

In this paper, we propose to model the video dynamics by learning the trajectory of independently inverted latent codes from GANs. The entire sequence is seen as discrete-time observations of a continuous trajectory of the initial latent…

Computer Vision and Pattern Recognition · Computer Science 2023-04-25 Weihao Xia , Yujiu Yang , Jing-Hao Xue

Neural ordinary differential equations (NODE) have garnered significant attention for their design of continuous-depth neural networks and the ability to learn data/feature dynamics. However, for high-dimensional systems, estimating…

Machine Learning · Computer Science 2025-10-07 Muhao Guo , Haoran Li , Yang Weng

Ordinary differential equations (ODEs), via their induced flow maps, provide a powerful framework to parameterize invertible transformations for the purpose of representing complex probability distributions. While such models have achieved…

Statistics Theory · Mathematics 2023-09-06 Youssef Marzouk , Zhi Ren , Sven Wang , Jakob Zech