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Graph data often exhibits complex geometric heterogeneity, where structures with varying local curvature, such as tree-like hierarchies and dense communities, coexist within a single network. Existing geometric GNNs, which embed graphs into…

Machine Learning · Computer Science 2026-01-21 Xudong Wang , Chris Ding , Tongxin Li , Jicong Fan

We describe the class of convexified convolutional neural networks (CCNNs), which capture the parameter sharing of convolutional neural networks in a convex manner. By representing the nonlinear convolutional filters as vectors in a…

Machine Learning · Computer Science 2016-09-06 Yuchen Zhang , Percy Liang , Martin J. Wainwright

Convolutional neural networks (CNNs) have achieved state-of-the-art results on many visual recognition tasks. However, current CNN models still exhibit a poor ability to be invariant to spatial transformations of images. Intuitively, with…

Computer Vision and Pattern Recognition · Computer Science 2019-12-04 Xu Shen , Xinmei Tian , Anfeng He , Shaoyan Sun , Dacheng Tao

We explore why deep convolutional neural networks (CNNs) with small two-dimensional kernels, primarily used for modeling spatial relations in images, are also effective in speech recognition. We analyze the representations learned by deep…

Computation and Language · Computer Science 2018-11-13 Joanna Rownicka , Peter Bell , Steve Renals

Encoder-decoder networks using convolutional neural network (CNN) architecture have been extensively used in deep learning literatures thanks to its excellent performance for various inverse problems. However, it is still difficult to…

Machine Learning · Computer Science 2019-05-08 Jong Chul Ye , Woon Kyoung Sung

Recently researchers have been shifting their focus towards learned 3D shape descriptors from hand-craft ones to better address challenging issues of the deformation and structural variation inherently present in 3D objects. 3D geometric…

Computer Vision and Pattern Recognition · Computer Science 2017-11-29 Mengwei Ren , Liang Niu , Yi Fang

We present a deep learning framework for accurate visual correspondences and demonstrate its effectiveness for both geometric and semantic matching, spanning across rigid motions to intra-class shape or appearance variations. In contrast to…

Computer Vision and Pattern Recognition · Computer Science 2016-11-01 Christopher B. Choy , JunYoung Gwak , Silvio Savarese , Manmohan Chandraker

Contrasting the previous evidence that neurons in the later layers of a Convolutional Neural Network (CNN) respond to complex object shapes, recent studies have shown that CNNs actually exhibit a `texture bias': given an image with both…

Computer Vision and Pattern Recognition · Computer Science 2021-01-28 Md Amirul Islam , Matthew Kowal , Patrick Esser , Sen Jia , Bjorn Ommer , Konstantinos G. Derpanis , Neil Bruce

Currently, increasingly deeper neural networks have been applied to improve their accuracy. In contrast, We propose a novel wider Convolutional Neural Networks (CNN) architecture, motivated by the Multi-column Deep Neural Networks and the…

Computer Vision and Pattern Recognition · Computer Science 2018-10-10 Xiaobo Huang

We present a method for learning discriminative filters using a shallow Convolutional Neural Network (CNN). We encode rotation invariance directly in the model by tying the weights of groups of filters to several rotated versions of the…

Computer Vision and Pattern Recognition · Computer Science 2017-05-03 Diego Marcos , Michele Volpi , Devis Tuia

Convolutional Neural Networks (CNNs) have become the state-of-the-art method to learn from image data. However, recent research shows that they may include a texture and colour bias in their representation, contrary to the intuition that…

Computer Vision and Pattern Recognition · Computer Science 2019-07-31 Francis Brochu

We introduce a new framework for learning dense correspondence between deformable 3D shapes. Existing learning based approaches model shape correspondence as a labelling problem, where each point of a query shape receives a label…

Computer Vision and Pattern Recognition · Computer Science 2017-08-01 Or Litany , Tal Remez , Emanuele Rodolà , Alex M. Bronstein , Michael M. Bronstein

Extracting multi-scale information is key to semantic segmentation. However, the classic convolutional neural networks (CNNs) encounter difficulties in achieving multi-scale information extraction: expanding convolutional kernel incurs the…

Computer Vision and Pattern Recognition · Computer Science 2019-07-09 Mo Zhang , Jie Zhao , Xiang Li , Li Zhang , Quanzheng Li

Intrinsic graph convolution operators with differentiable kernel functions play a crucial role in analyzing 3D shape meshes. In this paper, we present a fast and efficient intrinsic mesh convolution operator that does not rely on the…

Computer Vision and Pattern Recognition · Computer Science 2019-11-15 Shunwang Gong , Lei Chen , Michael Bronstein , Stefanos Zafeiriou

Inverse problems in imaging such as denoising, deblurring, superresolution (SR) have been addressed for many decades. In recent years, convolutional neural networks (CNNs) have been widely used for many inverse problem areas. Although their…

Machine Learning · Computer Science 2018-10-26 Cem Tarhan , Gozde Bozdagi Akar

Deep learning can be used to extract meaningful results from images. In this paper, we used convolutional neural networks combined with recurrent neural networks on images of plasmonic structures and extract absorption data form them. To…

Computer Vision and Pattern Recognition · Computer Science 2018-05-02 Iman Sajedian , Jeonghyun Kim , Junsuk Rho

Convolutional Neural Networks (CNNs) are commonly thought to recognise objects by learning increasingly complex representations of object shapes. Some recent studies suggest a more important role of image textures. We here put these…

Computer Vision and Pattern Recognition · Computer Science 2022-11-11 Robert Geirhos , Patricia Rubisch , Claudio Michaelis , Matthias Bethge , Felix A. Wichmann , Wieland Brendel

This paper is concerned with a fundamental problem in geometric deep learning that arises in the construction of convolutional neural networks on surfaces. Due to curvature, the transport of filter kernels on surfaces results in a…

Computer Vision and Pattern Recognition · Computer Science 2020-06-03 Ruben Wiersma , Elmar Eisemann , Klaus Hildebrandt

Convolutional neural networks can automatically learn features via deep network architectures and given input samples. However, the robustness of obtained models may face challenges in varying scenes. Bigger differences in network…

Image and Video Processing · Electrical Eng. & Systems 2025-10-21 Ziang Wu , Jinwei Xie , Xuanyu Zhang , Tao Wang , Yongjun Zhang , Qi Zhu , Chunwei Tian

Estimating correspondences between pairs of deformable shapes remains a challenging problem. Despite substantial progress, existing methods lack broad generalization capabilities and require category-specific training data. To address these…

Computer Vision and Pattern Recognition · Computer Science 2025-04-03 Aleksei Zhuravlev , Zorah Lähner , Vladislav Golyanik