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In this work we study the formulation of convection/diffusion equations on the 3D motion group SE(3) in terms of the irreducible representations of SO(3). Therefore, the left-invariant vector-fields on SE(3) are expressed as linear…

Analysis of PDEs · Mathematics 2012-02-27 Marco Reisert , Henrik Skibbe

Learning to fuse vision and language information and representing them is an important research problem with many applications. Recent progresses have leveraged the ideas of pre-training (from language modeling) and attention layers in…

Computer Vision and Pattern Recognition · Computer Science 2020-10-08 Bowen Zhang , Hexiang Hu , Vihan Jain , Eugene Ie , Fei Sha

In everyday life collaboration tasks between human operators and robots, the former necessitate simple ways for programming new skills, the latter have to show adaptive capabilities to cope with environmental changes. The joint use of…

Robotics · Computer Science 2023-09-15 Rocco Felici , Matteo Saveriano , Loris Roveda , Antonio Paolillo

This paper explores visual motion-based invariants, resulting in a new instantaneous domain where: a) the stationary environment is perceived as unchanged, even as the 2D images undergo continuous changes due to camera motion, b) obstacles…

Computer Vision and Pattern Recognition · Computer Science 2023-11-21 Juan D. Yepes , Daniel Raviv

Human visual perception carves a scene at its physical joints, decomposing the world into objects, which are selectively attended, tracked, and predicted as we engage our surroundings. Object representations emancipate perception from the…

Neurons and Cognition · Quantitative Biology 2021-09-09 Benjamin Peters , Nikolaus Kriegeskorte

The goal of many computer vision systems is to transform image pixels into 3D representations. Recent popular models use neural networks to regress directly from pixels to 3D object parameters. Such an approach works well when supervision…

Computer Vision and Pattern Recognition · Computer Science 2020-01-07 Nadine Rueegg , Christoph Lassner , Michael J. Black , Konrad Schindler

In existing works that learn representation for object detection, the relationship between a candidate window and the ground truth bounding box of an object is simplified by thresholding their overlap. This paper shows information loss in…

Computer Vision and Pattern Recognition · Computer Science 2015-12-10 Xingyu Zeng , Wanli Ouyang , Xiaogang Wang

In control theory, researchers need to understand a system's local and global behaviors in relation to its initial conditions. When discussing observability, the main focus is on the ability to analyze the system using an output space…

Optimization and Control · Mathematics 2025-03-26 Thiago Matheus Cavalheiro , Alexandre José Santana , Victor Ayala

We define basic notions in the category of conic representations of a topological group and prove elementary facts about them. We show that a conic representation determines an ordinary dynamical system of the group together with a…

Dynamical Systems · Mathematics 2019-03-25 Matan Tal

When an object moves smoothly across a field of view, the identify of the object is unchanged, but the activation pattern of the photoreceptors on the retina changes drastically. One of the major computational roles of our visual system is…

Neurons and Cognition · Quantitative Biology 2014-04-23 Minjoon Kouh

We propose associating language utterances to 3D visual abstractions of the scene they describe. The 3D visual abstractions are encoded as 3-dimensional visual feature maps. We infer these 3D visual scene feature maps from RGB images of the…

Computer Vision and Pattern Recognition · Computer Science 2021-06-21 Mihir Prabhudesai , Hsiao-Yu Fish Tung , Syed Ashar Javed , Maximilian Sieb , Adam W. Harley , Katerina Fragkiadaki

Observational learning is a type of learning that occurs as a function of observing, retaining and possibly replicating or imitating the behaviour of another agent. It is a core mechanism appearing in various instances of social learning…

Machine Learning · Computer Science 2017-06-22 Diana Borsa , Bilal Piot , Rémi Munos , Olivier Pietquin

We propose a novel method for learning representations of poses for 3D deformable objects, which specializes in 1) disentangling pose information from the object's identity, 2) facilitating the learning of pose variations, and 3)…

Computer Vision and Pattern Recognition · Computer Science 2024-11-05 Seungwoo Yoo , Juil Koo , Kyeongmin Yeo , Minhyuk Sung

The main goal of representation learning is to acquire meaningful representations from real-world sensory inputs without supervision. Representation learning explains some aspects of human development. Various neural network (NN) models…

Computer Vision and Pattern Recognition · Computer Science 2025-06-10 Takayuki Komatsu , Yoshiyuki Ohmura , Kayato Nishitsunoi , Yasuo Kuniyoshi

Transformers pretrained via next token prediction learn to factor their world into parts, representing these factors in orthogonal subspaces of the residual stream. We formalize two representational hypotheses: (1) a representation in the…

Learning about the three-dimensional world from two-dimensional images is a fundamental problem in computer vision. An ideal neural network architecture for such tasks would leverage the fact that objects can be rotated and translated in…

Computer Vision and Pattern Recognition · Computer Science 2023-07-10 Owen Howell , David Klee , Ondrej Biza , Linfeng Zhao , Robin Walters

Dashboard cameras capture a tremendous amount of driving scene video each day. These videos are purposefully coupled with vehicle sensing data, such as from the speedometer and inertial sensors, providing an additional sensing modality for…

Computer Vision and Pattern Recognition · Computer Science 2019-09-17 Seokju Lee , Junsik Kim , Tae-Hyun Oh , Yongseop Jeong , Donggeun Yoo , Stephen Lin , In So Kweon

Latent traversal is a popular approach to visualize the disentangled latent representations. Given a bunch of variations in a single unit of the latent representation, it is expected that there is a change in a single factor of variation of…

Computer Vision and Pattern Recognition · Computer Science 2020-07-28 Xinqi Zhu , Chang Xu , Dacheng Tao

Humans are extremely swift learners. We are able to grasp highly abstract notions, whether they come from art perception or pure mathematics. Current machine learning techniques demonstrate astonishing results in extracting patterns in…

Artificial Intelligence · Computer Science 2019-07-30 Alexander V. Terekhov , J. Kevin O'Regan

In this work we explore a new approach for robots to teach themselves about the world simply by observing it. In particular we investigate the effectiveness of learning task-agnostic representations for continuous control tasks. We extend…

Computer Vision and Pattern Recognition · Computer Science 2019-02-05 Debidatta Dwibedi , Jonathan Tompson , Corey Lynch , Pierre Sermanet
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