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By interpreting the forward dynamics of the latent representation of neural networks as an ordinary differential equation, Neural Ordinary Differential Equation (Neural ODE) emerged as an effective framework for modeling a system dynamics…

Machine Learning · Computer Science 2020-10-19 Daehoon Gwak , Gyuhyeon Sim , Michael Poli , Stefano Massaroli , Jaegul Choo , Edward Choi

We introduce a method for constructing reduced-order models directly from videos of dynamical systems. The method uses a non-intrusive tracking to isolate the motion of a user-selected part in the video of an autonomous dynamical system. In…

Dynamical Systems · Mathematics 2024-06-14 Antony Yang , Joar Axås , Fanni Kádár , Gábor Stépán , George Haller

StyleGAN has achieved great progress in 2D face reconstruction and semantic editing via image inversion and latent editing. While studies over extending 2D StyleGAN to 3D faces have emerged, a corresponding generic 3D GAN inversion…

Computer Vision and Pattern Recognition · Computer Science 2022-12-19 Yushi Lan , Xuyi Meng , Shuai Yang , Chen Change Loy , Bo Dai

Understanding and predicting motion is a fundamental component of visual intelligence. Although modern video models exhibit strong comprehension of scene dynamics, exploring multiple possible futures through full video synthesis remains…

Computer Vision and Pattern Recognition · Computer Science 2026-04-14 Nick Stracke , Kolja Bauer , Stefan Andreas Baumann , Miguel Angel Bautista , Josh Susskind , Björn Ommer

Video representation is an important and challenging task in the computer vision community. In this paper, we assume that image frames of a moving scene can be modeled as a Linear Dynamical System. We propose a sparse coding framework,…

Computer Vision and Pattern Recognition · Computer Science 2013-12-20 Xian Wei , Hao Shen , Martin Kleinsteuber

We present a method for unsupervised learning of equations of motion for objects in raw and optionally distorted unlabeled video. We first train an autoencoder that maps each video frame into a low-dimensional latent space where the laws of…

Computer Vision and Pattern Recognition · Computer Science 2021-04-28 Silviu-Marian Udrescu , Max Tegmark

We present a method to learn compositional multi-object dynamics models from image observations based on implicit object encoders, Neural Radiance Fields (NeRFs), and graph neural networks. NeRFs have become a popular choice for…

Computer Vision and Pattern Recognition · Computer Science 2022-07-28 Danny Driess , Zhiao Huang , Yunzhu Li , Russ Tedrake , Marc Toussaint

We propose a method to reproduce dynamic appearance textures with space-stationary but time-varying visual statistics. While most previous work decomposes dynamic textures into static appearance and motion, we focus on dynamic appearance…

Computer Vision and Pattern Recognition · Computer Science 2025-01-13 Chen Liu , Tobias Ritschel

We present an unsupervised representation learning approach that compactly encodes the motion dependencies in videos. Given a pair of images from a video clip, our framework learns to predict the long-term 3D motions. To reduce the…

Computer Vision and Pattern Recognition · Computer Science 2017-04-13 Zelun Luo , Boya Peng , De-An Huang , Alexandre Alahi , Li Fei-Fei

We introduce a novel self-supervised learning approach to learn representations of videos that are responsive to changes in the motion dynamics. Our representations can be learned from data without human annotation and provide a substantial…

Computer Vision and Pattern Recognition · Computer Science 2020-07-22 Simon Jenni , Givi Meishvili , Paolo Favaro

We consider the problem of learning the dynamics of autonomous linear systems (i.e., systems that are not affected by external control inputs) from observations of multiple trajectories of those systems, with finite sample guarantees.…

Systems and Control · Electrical Eng. & Systems 2022-09-27 Lei Xin , George Chiu , Shreyas Sundaram

Time-lapse image sequences offer visually compelling insights into dynamic processes that are too slow to observe in real time. However, playing a long time-lapse sequence back as a video often results in distracting flicker due to random…

Computer Vision and Pattern Recognition · Computer Science 2022-07-05 Erik Härkönen , Miika Aittala , Tuomas Kynkäänniemi , Samuli Laine , Timo Aila , Jaakko Lehtinen

Causal inference in continuous-time sequential decision problems is challenged by hidden confounders. We show that, in latent state-space models with time-varying interventions, observability of the latent dynamics from observed data is…

Machine Learning · Computer Science 2026-05-14 Jennifer Wendland , Nicolas Freitag , Maik Kschischo

A wide range of applications require learning image generation models whose latent space effectively captures the high-level factors of variation present in the data distribution. The extent to which a model represents such variations…

Computer Vision and Pattern Recognition · Computer Science 2021-11-09 Avinandan Bose , Aniket Das , Yatin Dandi , Piyush Rai

Identifying dynamical systems from experimental data is a notably difficult task. Prior knowledge generally helps, but the extent of this knowledge varies with the application, and customized models are often needed. Neural ordinary…

Systems and Control · Electrical Eng. & Systems 2023-01-13 Mona Buisson-Fenet , Valery Morgenthaler , Sebastian Trimpe , Florent Di Meglio

Latent space exploration is a technique that discovers interpretable latent directions and manipulates latent codes to edit various attributes in images generated by generative adversarial networks (GANs). However, in previous work, spatial…

Computer Vision and Pattern Recognition · Computer Science 2022-08-29 Yuki Endo

This paper addresses the problem of finding interpretable directions in the latent space of pre-trained Generative Adversarial Networks (GANs) to facilitate controllable image synthesis. Such interpretable directions correspond to…

Computer Vision and Pattern Recognition · Computer Science 2021-11-24 James Oldfield , Markos Georgopoulos , Yannis Panagakis , Mihalis A. Nicolaou , Ioannis Patras

Modeling the evolution of system with time-series data is a challenging and critical task in a wide range of fields, especially when the time-series data is regularly sampled and partially observable. Some methods have been proposed to…

Machine Learning · Computer Science 2024-12-03 Mengbang Zou , Weisi Guo

In this paper, we present an approach for combining non-rigid structure-from-motion (NRSfM) with deep generative models,and propose an efficient framework for discovering trajectories in the latent space of 2D GANs corresponding to changes…

Computer Vision and Pattern Recognition · Computer Science 2022-11-15 René Haas , Stella Graßhof , Sami S. Brandt

Smooth dynamics interrupted by discontinuities are known as hybrid systems and arise commonly in nature. Latent ODEs allow for powerful representation of irregularly sampled time series but are not designed to capture trajectories arising…

Machine Learning · Computer Science 2021-06-11 Ruian Shi , Quaid Morris
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