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Solving geometric tasks involving point clouds by using machine learning is a challenging problem. Standard feed-forward neural networks combine linear or, if the bias parameter is included, affine layers and activation functions. Their…

Machine Learning · Computer Science 2022-06-15 Pavlo Melnyk , Michael Felsberg , Mårten Wadenbäck

We present Submatrix-wise Vector Embedding Learner (Swivel), a method for generating low-dimensional feature embeddings from a feature co-occurrence matrix. Swivel performs approximate factorization of the point-wise mutual information…

Computation and Language · Computer Science 2016-02-09 Noam Shazeer , Ryan Doherty , Colin Evans , Chris Waterson

We propose DualConvMesh-Nets (DCM-Net) a family of deep hierarchical convolutional networks over 3D geometric data that combines two types of convolutions. The first type, geodesic convolutions, defines the kernel weights over mesh surfaces…

Computer Vision and Pattern Recognition · Computer Science 2020-04-03 Jonas Schult , Francis Engelmann , Theodora Kontogianni , Bastian Leibe

The design, analysis and application of a volumetric convolutional neural network (VCNN) are studied in this work. Although many CNNs have been proposed in the literature, their design is empirical. In the design of the VCNN, we propose a…

Computer Vision and Pattern Recognition · Computer Science 2017-02-02 Xiaqing Pan , Yueru Chen , C. -C. Jay Kuo

Capturing the compositional process which maps the meaning of words to that of documents is a central challenge for researchers in Natural Language Processing and Information Retrieval. We introduce a model that is able to represent the…

Computation and Language · Computer Science 2014-06-17 Misha Denil , Alban Demiraj , Nal Kalchbrenner , Phil Blunsom , Nando de Freitas

Representation learning on graphs has emerged as a powerful mechanism to automate feature vector generation for downstream machine learning tasks. The advances in representation on graphs have centered on both homogeneous and heterogeneous…

Machine Learning · Statistics 2020-11-23 Piotr Bielak , Kamil Tagowski , Maciej Falkiewicz , Tomasz Kajdanowicz , Nitesh V. Chawla

This work proposes a general-purpose, fully-convolutional network architecture for efficiently processing large-scale 3D data. One striking characteristic of our approach is its ability to process unorganized 3D representations such as…

Computer Vision and Pattern Recognition · Computer Science 2018-08-22 Dario Rethage , Johanna Wald , Jürgen Sturm , Nassir Navab , Federico Tombari

The convolution operation is a central building block of neural network architectures widely used in computer vision. The size of the convolution kernels determines both the expressiveness of convolutional neural networks (CNN), as well as…

Image and Video Processing · Electrical Eng. & Systems 2022-10-10 Tianyu Ma , Adrian V. Dalca , Mert R. Sabuncu

Recent works based on convolutional encoder-decoder architecture and 3DMM parameterization have shown great potential for canonical view reconstruction from a single input image. Conventional CNN architectures benefit from exploiting the…

Computer Vision and Pattern Recognition · Computer Science 2023-10-24 Zhiqian Lin , Jiangke Lin , Lincheng Li , Yi Yuan , Zhengxia Zou

Extending the translation equivariance property of convolutional neural networks to larger symmetry groups has been shown to reduce sample complexity and enable more discriminative feature learning. Further, exploiting additional symmetries…

Computer Vision and Pattern Recognition · Computer Science 2025-02-12 Lisa Weijler , Pedro Hermosilla

3D object reconstruction is a fundamental task of many robotics and AI problems. With the aid of deep convolutional neural networks (CNNs), 3D object reconstruction has witnessed a significant progress in recent years. However, possibly due…

Computer Vision and Pattern Recognition · Computer Science 2018-09-11 Hanqing Wang , Jiaolong Yang , Wei Liang , Xin Tong

Group-convolutional neural networks (GCNNs) are among the most important methods for introducing symmetry as an inductive bias in deep learning: In each linear layer, GCNNs sample a transformation group $G$ densely and correlate data and…

Computer Vision and Pattern Recognition · Computer Science 2026-05-18 Daniel Franzen , Jean Philip Filling , Michael Wand

Deep learning with 3D data has progressed significantly since the introduction of convolutional neural networks that can handle point order ambiguity in point cloud data. While being able to achieve good accuracies in various scene…

Computer Vision and Pattern Recognition · Computer Science 2019-08-20 Zhiyuan Zhang , Binh-Son Hua , Sai-Kit Yeung

With the advent of affordable depth sensors, 3D capture becomes more and more ubiquitous and already has made its way into commercial products. Yet, capturing the geometry or complete shapes of everyday objects using scanning devices (e.g.…

Computer Vision and Pattern Recognition · Computer Science 2016-09-13 Abhishek Sharma , Oliver Grau , Mario Fritz

We propose a compact and effective framework to fuse multimodal features at multiple layers in a single network. The framework consists of two innovative fusion schemes. Firstly, unlike existing multimodal methods that necessitate…

Computer Vision and Pattern Recognition · Computer Science 2021-08-12 Yikai Wang , Fuchun Sun , Ming Lu , Anbang Yao

Convolutional networks are successful due to their equivariance/invariance under translations. However, rotatable data such as images, volumes, shapes, or point clouds require processing with equivariance/invariance under rotations in cases…

Machine Learning · Computer Science 2021-11-23 Luca Della Libera , Vladimir Golkov , Yue Zhu , Arman Mielke , Daniel Cremers

Atrial Fibrillation (AF) is a common electro-physiological cardiac disorder that causes changes in the anatomy of the atria. A better characterization of these changes is desirable for the definition of clinical biomarkers, furthermore,…

Machine Learning · Statistics 2018-09-28 Nicoló Savioli , Giovanni Montana , Pablo Lamata

Metric learning aims to learn a highly discriminative model encouraging the embeddings of similar classes to be close in the chosen metrics and pushed apart for dissimilar ones. The common recipe is to use an encoder to extract embeddings…

Computer Vision and Pattern Recognition · Computer Science 2022-03-23 Aleksandr Ermolov , Leyla Mirvakhabova , Valentin Khrulkov , Nicu Sebe , Ivan Oseledets

Surface meshes are widely used shape representations and capture finer geometry data than point clouds or volumetric grids, but are challenging to apply CNNs directly due to their non-Euclidean structure. We use parallel frames on surface…

Computer Vision and Pattern Recognition · Computer Science 2020-06-15 Yuqi Yang , Shilin Liu , Hao Pan , Yang Liu , Xin Tong

Segmentation, i.e., the partitioning of volumetric data into components, is a crucial task in many image processing applications ever since such data could be generated. Most existing applications nowadays, specifically CNNs, make use of…

Computer Vision and Pattern Recognition · Computer Science 2022-10-14 Thomas Lang , Tomas Sauer