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Recent deep learning extensions in Koopman theory have enabled compact, interpretable representations of nonlinear dynamical systems which are amenable to linear analysis. Deep Koopman networks attempt to learn the Koopman eigenfunctions…

计算机视觉与模式识别 · 计算机科学 2020-10-20 Scott Leask , Vincent McDonell

We present an approach to construct approximate Koopman-type decompositions for dynamical systems depending on static or time-varying parameters. Our method simultaneously constructs an invariant subspace and a parametric family of…

最优化与控制 · 数学 2024-11-12 Yue Guo , Milan Korda , Ioannis G. Kevrekidis , Qianxiao Li

This paper takes a step towards temporal reasoning in a dynamically changing video, not in the pixel space that constitutes its frames, but in a latent space that describes the non-linear dynamics of the objects in its world. We introduce…

机器学习 · 统计学 2017-10-31 Marco Fraccaro , Simon Kamronn , Ulrich Paquet , Ole Winther

The Koopman autoencoder, a data-driven technique, has gained traction for modeling nonlinear dynamics using deep learning methods in recent years. Given the linear characteristics inherent to the Koopman operator, controlling its…

机器学习 · 计算机科学 2024-08-22 Jinho Choi , Sivaram Krishnan , Jihong Park

Animals have evolved highly functional visual systems to understand motion, assisting perception even under complex environments. In this paper, we work towards developing a computer vision system able to segment objects by exploiting…

计算机视觉与模式识别 · 计算机科学 2021-08-12 Charig Yang , Hala Lamdouar , Erika Lu , Andrew Zisserman , Weidi Xie

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…

计算机视觉与模式识别 · 计算机科学 2020-03-03 Matthias Minderer , Chen Sun , Ruben Villegas , Forrester Cole , Kevin Murphy , Honglak Lee

This paper tackles the data-driven approximation of unknown dynamical systems using Koopman-operator methods. Given a dictionary of functions, these methods approximate the projection of the action of the operator on the finite-dimensional…

系统与控制 · 电气工程与系统科学 2023-02-28 Masih Haseli , Jorge Cortés

Recent co-part segmentation methods mostly operate in a supervised learning setting, which requires a large amount of annotated data for training. To overcome this limitation, we propose a self-supervised deep learning method for co-part…

计算机视觉与模式识别 · 计算机科学 2021-04-12 Aliaksandr Siarohin , Subhankar Roy , Stéphane Lathuilière , Sergey Tulyakov , Elisa Ricci , Nicu Sebe

This paper introduces an unsupervised framework to extract semantically rich features for video representation. Inspired by how the human visual system groups objects based on motion cues, we propose a deep convolutional neural network that…

计算机视觉与模式识别 · 计算机科学 2017-07-18 Xunyu Lin , Victor Campos , Xavier Giro-i-Nieto , Jordi Torres , Cristian Canton Ferrer

Despite their irresistible success, deep learning algorithms still heavily rely on annotated data. On the other hand, unsupervised settings pose many challenges, especially about determining the right inductive bias in diverse scenarios.…

计算机视觉与模式识别 · 计算机科学 2021-03-11 Beril Besbinar , Pascal Frossard

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…

计算机视觉与模式识别 · 计算机科学 2025-01-22 Eliyas Suleyman , Paul Henderson , Nicolas Pugeault

We propose a deep neural network for the prediction of future frames in natural video sequences. To effectively handle complex evolution of pixels in videos, we propose to decompose the motion and content, two key components generating…

计算机视觉与模式识别 · 计算机科学 2018-01-09 Ruben Villegas , Jimei Yang , Seunghoon Hong , Xunyu Lin , Honglak Lee

Over the last few years, several works have proposed deep learning architectures to learn dynamical systems from observation data with no or little knowledge of the underlying physics. A line of work relies on learning representations where…

机器学习 · 计算机科学 2023-03-14 Anthony Frion , Lucas Drumetz , Mauro Dalla Mura , Guillaume Tochon , Abdeldjalil Aissa El Bey

A video autoencoder is proposed for learning disentan- gled representations of 3D structure and camera pose from videos in a self-supervised manner. Relying on temporal continuity in videos, our work assumes that the 3D scene structure in…

计算机视觉与模式识别 · 计算机科学 2021-10-07 Zihang Lai , Sifei Liu , Alexei A. Efros , Xiaolong Wang

This work explores how to use self-supervised learning on videos to learn a class-specific image embedding that encodes pose and shape information. At train time, two frames of the same video of an object class (e.g. human upper body) are…

计算机视觉与模式识别 · 计算机科学 2019-10-29 Olivia Wiles , A. Sophia Koepke , Andrew Zisserman

Giving machines the ability to imagine possible new objects or scenes from linguistic descriptions and produce their realistic renderings is arguably one of the most challenging problems in computer vision. Recent advances in deep…

计算机视觉与模式识别 · 计算机科学 2022-11-08 Levent Karacan , Tolga Kerimoğlu , İsmail İnan , Tolga Birdal , Erkut Erdem , Aykut Erdem

Dynamic Mode Decomposition (DMD) is a technique to approximate generally non-linear dynamical systems using linear techniques, which are better understood and easier to analyze. Koopman theory extends DMD by transforming the original system…

最优化与控制 · 数学 2022-11-15 Sourya Dey

Deep learning is revolutionizing weather forecasting, with new data-driven models achieving accuracy on par with operational physical models for medium-term predictions. However, these models often lack interpretability, making their…

机器学习 · 计算机科学 2024-09-11 David Millard , Arielle Carr , Stéphane Gaudreault

Soft robots are challenging to model and control as inherent non-linearities (e.g., elasticity and deformation), often requires complex explicit physics-based analytical modeling (e.g., a priori geometric definitions). While machine…

机器人学 · 计算机科学 2022-10-17 Naoto Komeno , Brendan Michael , Katharina Küchler , Edgar Anarossi , Takamitsu Matsubara

Autonomous driving technologies have received notable attention in the past decades. In autonomous driving systems, identifying a precise dynamical model for motion control is nontrivial due to the strong nonlinearity and uncertainty in…

系统与控制 · 电气工程与系统科学 2023-08-11 Yongqian Xiao , Xinglong Zhang , Xin Xu , Xueqing Liu , Jiahang Liu
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