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Related papers: Learning with 3D rotations, a hitchhiker's guide t…

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This paper revisits the little-known Gibbs-Rodrigues representation of rotations in a three-dimensional space and demonstrates a set of algorithms for handling it. In this representation the rotation is itself represented as a…

Data Structures and Algorithms · Computer Science 2007-05-23 Ian R. Peterson

In recent years, a deep learning framework has been widely used for object pose estimation. While quaternion is a common choice for rotation representation of 6D pose, it cannot represent an uncertainty of the observation. In order to…

Computer Vision and Pattern Recognition · Computer Science 2024-10-28 Hiroya Sato , Takuya Ikeda , Koichi Nishiwaki

When interacting in a three dimensional world, humans must estimate 3D structure from visual inputs projected down to two dimensional retinal images. It has been shown that humans use the persistence of object shape over motion-induced…

Neurons and Cognition · Quantitative Biology 2023-04-03 Marissa Connor , Bruno Olshausen , Christopher Rozell

With the rapid advancement of technology, 3D data acquisition and utilization have become increasingly prevalent across various fields, including computer vision, robotics, and geospatial analysis. 3D data, captured through methods such as…

Computer Vision and Pattern Recognition · Computer Science 2025-12-09 Siming Yan

We address the problem of 3D rotation equivariance in convolutional neural networks. 3D rotations have been a challenging nuisance in 3D classification tasks requiring higher capacity and extended data augmentation in order to tackle it. We…

Computer Vision and Pattern Recognition · Computer Science 2018-10-01 Carlos Esteves , Christine Allen-Blanchette , Ameesh Makadia , Kostas Daniilidis

Representation learning methods are an important tool for addressing the challenges posed by complex observations spaces in sequential decision making problems. Recently, many methods have used a wide variety of types of approaches for…

Machine Learning · Computer Science 2025-06-24 Ayoub Echchahed , Pablo Samuel Castro

Autonomous robots require high degrees of cognitive and motoric intelligence to come into our everyday life. In non-structured environments and in the presence of uncertainties, such degrees of intelligence are not easy to obtain.…

Representation learning becomes especially important for complex systems with multimodal data sources such as cameras or sensors. Recent advances in reinforcement learning and optimal control make it possible to design control algorithms on…

Deep neural networks use multiple layers of functions to map an object represented by an input vector progressively to different representations, and with sufficient training, eventually to a single score for each class that is the output…

Machine Learning · Computer Science 2022-09-02 Tin Kam Ho

We propose a novel explanation method that explains the decisions of a deep neural network by investigating how the intermediate representations at each layer of the deep network were refined during the training process. This way we can a)…

Machine Learning · Computer Science 2021-09-14 Lukas Pfahler , Katharina Morik

We study the problem of how to build a deep learning representation for 3D shape. Deep learning has shown to be very effective in variety of visual applications, such as image classification and object detection. However, it has not been…

Computer Vision and Pattern Recognition · Computer Science 2014-09-26 Zhuotun Zhu , Xinggang Wang , Song Bai , Cong Yao , Xiang Bai

Generative concept representations have three major advantages over discriminative ones: they can represent uncertainty, they support integration of learning and reasoning, and they are good for unsupervised and semi-supervised learning. We…

Machine Learning · Computer Science 2018-11-19 Daniel T. Chang

Since about 100 years ago, to learn the intrinsic structure of data, many representation learning approaches have been proposed, including both linear ones and nonlinear ones, supervised ones and unsupervised ones. Particularly, deep…

Machine Learning · Computer Science 2016-11-28 Guoqiang Zhong , Li-Na Wang , Junyu Dong

This note complements the author's recent paper "Robust representation learning with feedback for single image deraining" by providing heuristically theoretical explanations on the mechanism of representation learning with feedback, namely…

Computer Vision and Pattern Recognition · Computer Science 2025-08-12 Hao Li

A common strategy in modern learning systems is to learn a representation that is useful for many tasks, a.k.a. representation learning. We study this strategy in the imitation learning setting for Markov decision processes (MDPs) where…

Machine Learning · Computer Science 2020-02-26 Sanjeev Arora , Simon S. Du , Sham Kakade , Yuping Luo , Nikunj Saunshi

Humans have come to rely on machines for reducing excessive information to manageable representations. But this reliance can be abused -- strategic machines might craft representations that manipulate their users. How can a user make good…

Machine Learning · Computer Science 2022-06-20 Vineet Nair , Ganesh Ghalme , Inbal Talgam-Cohen , Nir Rosenfeld

Establishing correspondences between 3D shapes is a fundamental task in 3D Computer Vision, typically addressed by matching local descriptors. Recently, a few attempts at applying the deep learning paradigm to the task have shown promising…

Computer Vision and Pattern Recognition · Computer Science 2019-09-17 Riccardo Spezialetti , Samuele Salti , Luigi Di Stefano

In real-world applications with large state and action spaces, reinforcement learning (RL) typically employs function approximations to represent core components like the policies, value functions, and dynamics models. Although powerful…

Machine Learning · Computer Science 2026-01-29 Chenxiao Gao , Haotian Sun , Na Li , Dale Schuurmans , Bo Dai

Deep neural networks can empirically perform efficient hierarchical learning, in which the layers learn useful representations of the data. However, how they make use of the intermediate representations are not explained by recent theories…

Machine Learning · Computer Science 2021-03-08 Minshuo Chen , Yu Bai , Jason D. Lee , Tuo Zhao , Huan Wang , Caiming Xiong , Richard Socher

As a promising branch of robotics, imitation learning emerges as an important way to transfer human skills to robots, where human demonstrations represented in Cartesian or joint spaces are utilized to estimate task/skill models that can be…

Robotics · Computer Science 2023-09-27 Yanlong Huang , Fares J. Abu-Dakka , João Silvério , Darwin G. Caldwell