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The translation equivariance of convolutions can make convolutional neural networks translation equivariant or invariant. Equivariance to other transformations (e.g. rotations, affine transformations, scalings) may also be desirable as soon…

Signal Processing · Electrical Eng. & Systems 2021-05-05 Mateus Sangalli , Samy Blusseau , Santiago Velasco-Forero , Jesus Angulo

Message passing neural networks have recently evolved into a state-of-the-art approach to representation learning on graphs. Existing methods perform synchronous message passing along all edges in multiple subsequent rounds and consequently…

Machine Learning · Computer Science 2020-12-21 Julian Busch , Jiaxing Pi , Thomas Seidl

Equivariant deep learning architectures exploit symmetries in learning problems to improve the sample efficiency of neural-network-based models and their ability to generalise. However, when modelling real-world data, learning problems are…

Machine Learning · Statistics 2024-11-12 Matthew Ashman , Cristiana Diaconu , Adrian Weller , Wessel Bruinsma , Richard E. Turner

Point cloud is an important type of 3D representation. However, directly applying convolutions on point clouds is challenging due to the sparse, irregular and unordered data structure. In this paper, we propose a novel Interpolated…

Computer Vision and Pattern Recognition · Computer Science 2019-08-14 Jiageng Mao , Xiaogang Wang , Hongsheng Li

Point cloud processing is very challenging, as the diverse shapes formed by irregular points are often indistinguishable. A thorough grasp of the elusive shape requires sufficiently contextual semantic information, yet few works devote to…

Computer Vision and Pattern Recognition · Computer Science 2019-09-10 Yongcheng Liu , Bin Fan , Gaofeng Meng , Jiwen Lu , Shiming Xiang , Chunhong Pan

Feature learning on point clouds has shown great promise, with the introduction of effective and generalizable deep learning frameworks such as pointnet++. Thus far, however, point features have been abstracted in an independent and…

Computer Vision and Pattern Recognition · Computer Science 2018-03-16 Chu Wang , Babak Samari , Kaleem Siddiqi

The success of supervised learning requires large-scale ground truth labels which are very expensive, time-consuming, or may need special skills to annotate. To address this issue, many self- or un-supervised methods are developed. Unlike…

Computer Vision and Pattern Recognition · Computer Science 2020-04-14 Longlong Jing , Yucheng Chen , Ling Zhang , Mingyi He , Yingli Tian

Many learning tasks, including learning potential energy surfaces from ab initio calculations, involve global spatial symmetries and permutational symmetry between atoms or general particles. Equivariant graph neural networks are a standard…

Machine Learning · Computer Science 2024-05-24 Zimu Li , Zihan Pengmei , Han Zheng , Erik Thiede , Junyu Liu , Risi Kondor

In recent years, point cloud representation has become one of the research hotspots in the field of computer vision, and has been widely used in many fields, such as autonomous driving, virtual reality, robotics, etc. Although deep learning…

Computer Vision and Pattern Recognition · Computer Science 2023-11-07 Huang Zhang , Changshuo Wang , Shengwei Tian , Baoli Lu , Liping Zhang , Xin Ning , Xiao Bai

Learning to reason about relations and dynamics over multiple interacting objects is a challenging topic in machine learning. The challenges mainly stem from that the interacting systems are exponentially-compositional, symmetrical, and…

Machine Learning · Computer Science 2022-03-15 Wenbing Huang , Jiaqi Han , Yu Rong , Tingyang Xu , Fuchun Sun , Junzhou Huang

Partial point cloud registration is a challenging problem in robotics, especially when the robot undergoes a large transformation, causing a significant initial pose error and a low overlap between measurements. This work proposes…

Robotics · Computer Science 2024-07-25 Chien Erh Lin , Minghan Zhu , Maani Ghaffari

Many problems in computer vision and machine learning can be cast as learning on hypergraphs that represent higher-order relations. Recent approaches for hypergraph learning extend graph neural networks based on message passing, which is…

Machine Learning · Computer Science 2022-08-23 Jinwoo Kim , Saeyoon Oh , Sungjun Cho , Seunghoon Hong

Unsupervised feature learning for point clouds has been vital for large-scale point cloud understanding. Recent deep learning based methods depend on learning global geometry from self-reconstruction. However, these methods are still…

Computer Vision and Pattern Recognition · Computer Science 2019-07-31 Zhizhong Han , Xiyang Wang , Yu-Shen Liu , Matthias Zwicker

In perception, multiple sensory information is integrated to map visual information from 2D views onto 3D objects, which is beneficial for understanding in 3D environments. But in terms of a single 2D view rendered from different angles,…

Computer Vision and Pattern Recognition · Computer Science 2024-03-11 Hai-Tao Yu , Mofei Song

Feedforward fully convolutional neural networks currently dominate in semantic segmentation of 3D point clouds. Despite their great success, they suffer from the loss of local information at low-level layers, posing significant challenges…

Computer Vision and Pattern Recognition · Computer Science 2023-03-27 Shenglan Du , Nail Ibrahimli , Jantien Stoter , Julian Kooij , Liangliang Nan

The past few years have witnessed the great success and prevalence of self-supervised representation learning within the language and 2D vision communities. However, such advancements have not been fully migrated to the field of 3D point…

Computer Vision and Pattern Recognition · Computer Science 2023-12-20 Qijian Zhang , Junhui Hou

Machine learning potentials have become increasingly successful in atomistic simulations. Many of these potentials are based on an atomistic representation in a local environment, but an efficient description of non-local interactions that…

Chemical Physics · Physics 2024-10-01 Yibin Wu , Junfan Xia , Yaolong Zhang , Bin Jiang

Learning and analyzing 3D point clouds with deep networks is challenging due to the sparseness and irregularity of the data. In this paper, we present a data-driven point cloud upsampling technique. The key idea is to learn multi-level…

Computer Vision and Pattern Recognition · Computer Science 2018-03-28 Lequan Yu , Xianzhi Li , Chi-Wing Fu , Daniel Cohen-Or , Pheng-Ann Heng

Much of the success of deep learning is drawn from building architectures that properly respect underlying symmetry and structure in the data on which they operate - a set of considerations that have been united under the banner of…

Machine Learning · Computer Science 2022-10-05 Matthew Spellings

A promising direction for pre-training 3D point clouds is to leverage the massive amount of data in 2D, whereas the domain gap between 2D and 3D creates a fundamental challenge. This paper proposes a novel approach to point-cloud…

Computer Vision and Pattern Recognition · Computer Science 2024-04-30 Siming Yan , Chen Song , Youkang Kong , Qixing Huang