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In recent years, with the rapid development of computer information technology, the development of artificial intelligence has been accelerating. The traditional geometry recognition technology is relatively backward and the recognition…

Computer Vision and Pattern Recognition · Computer Science 2024-04-26 Ruiyang Wang , Haonan Wang , Junfeng Sun , Mingjia Zhao , Meng Liu

In this paper, a geometric framework for neural networks is proposed. This framework uses the inner product space structure underlying the parameter set to perform gradient descent not in a component-based form, but in a coordinate-free…

Machine Learning · Statistics 2016-10-06 Anthony L. Caterini , Dong Eui Chang

Pose Machines provide a sequential prediction framework for learning rich implicit spatial models. In this work we show a systematic design for how convolutional networks can be incorporated into the pose machine framework for learning…

Computer Vision and Pattern Recognition · Computer Science 2016-04-13 Shih-En Wei , Varun Ramakrishna , Takeo Kanade , Yaser Sheikh

Finding correspondences between 3D shapes is a crucial problem in computer vision and graphics, which is for example relevant for tasks like shape interpolation, pose transfer, or texture transfer. An often neglected but essential property…

Computer Vision and Pattern Recognition · Computer Science 2023-09-12 Viktoria Ehm , Paul Roetzer , Marvin Eisenberger , Maolin Gao , Florian Bernard , Daniel Cremers

Graph neural networks (GNNs) have emerged as powerful tools for learning protein structures by capturing spatial relationships at the residue level. However, existing GNN-based methods often face challenges in learning multiscale…

Machine Learning · Computer Science 2026-02-03 Shih-Hsin Wang , Yuhao Huang , Taos Transue , Justin Baker , Jonathan Forstater , Thomas Strohmer , Bao Wang

Matching two texts is a fundamental problem in many natural language processing tasks. An effective way is to extract meaningful matching patterns from words, phrases, and sentences to produce the matching score. Inspired by the success of…

Computation and Language · Computer Science 2016-02-23 Liang Pang , Yanyan Lan , Jiafeng Guo , Jun Xu , Shengxian Wan , Xueqi Cheng

In this paper, we propose a learning-based image fragment pair-searching and -matching approach to solve the challenging restoration problem. Existing works use rule-based methods to match similar contour shapes or textures, which are…

Computer Vision and Pattern Recognition · Computer Science 2025-01-23 Rixin Zhou , Ding Xia , Yi Zhang , Honglin Pang , Xi Yang , Chuntao Li

This paper studies 3D dense shape correspondence, a key shape analysis application in computer vision and graphics. We introduce a novel hybrid geometric deep learning-based model that learns geometrically meaningful and…

Computer Vision and Pattern Recognition · Computer Science 2022-11-14 Mohammad Farazi , Wenhui Zhu , Zhangsihao Yang , Yalin Wang

The notion of group invariance helps neural networks in recognizing patterns and features under geometric transformations. Group convolutional neural networks enhance traditional convolutional neural networks by incorporating group-based…

Machine Learning · Computer Science 2025-04-15 Ali Mohaddes , Johannes Lederer

We present a mathematical and algorithmic scheme for learning the principal geometric elements in an image or 3D object. We build on recent work that convexifies the basic problem of finding a combination of a small number shapes that…

Computer Vision and Pattern Recognition · Computer Science 2016-07-05 Alireza Aghasi , Justin Romberg

In this paper we consider a problem of searching a space of predictive models for a given training data set. We propose an iterative procedure for deriving a sequence of improving models and a corresponding sequence of sets of non-linear…

Machine Learning · Computer Science 2014-02-18 Michael Tetelman

Deep features have been proven powerful in building accurate dense semantic correspondences in various previous works. However, the multi-scale and pyramidal hierarchy of convolutional neural networks has not been well studied to learn…

Computer Vision and Pattern Recognition · Computer Science 2021-08-30 Dongyang Zhao , Ziyang Song , Zhenghao Ji , Gangming Zhao , Weifeng Ge , Yizhou Yu

We propose a deep learning approach for finding dense correspondences between 3D scans of people. Our method requires only partial geometric information in the form of two depth maps or partial reconstructed surfaces, works for humans in…

Computer Vision and Pattern Recognition · Computer Science 2016-06-28 Lingyu Wei , Qixing Huang , Duygu Ceylan , Etienne Vouga , Hao Li

We propose a new algorithm to learn a one-hidden-layer convolutional neural network where both the convolutional weights and the outputs weights are parameters to be learned. Our algorithm works for a general class of (potentially…

Machine Learning · Computer Science 2018-06-05 Simon S. Du , Surbhi Goel

Many classes of images exhibit rotational symmetry. Convolutional neural networks are sometimes trained using data augmentation to exploit this, but they are still required to learn the rotation equivariance properties from the data.…

Machine Learning · Computer Science 2016-05-27 Sander Dieleman , Jeffrey De Fauw , Koray Kavukcuoglu

In the recent time deep learning has achieved huge popularity due to its performance in various machine learning algorithms. Deep learning as hierarchical or structured learning attempts to model high level abstractions in data by using a…

Computer Vision and Pattern Recognition · Computer Science 2019-04-26 Parth Shah , Vishvajit Bakrola , Supriya Pati

We propose a new architecture for difficult image processing operations, such as natural edge detection or thin object segmentation. The architecture is based on a simple combination of convolutional neural networks with the nearest…

Computer Vision and Pattern Recognition · Computer Science 2014-07-04 Yaroslav Ganin , Victor Lempitsky

In this work, we build a generic architecture of Convolutional Neural Networks to discover empirical properties of neural networks. Our first contribution is to introduce a state-of-the-art framework that depends upon few hyper parameters…

Computer Vision and Pattern Recognition · Computer Science 2017-03-07 Edouard Oyallon

This paper addresses the problem of establishing semantic correspondences between images depicting different instances of the same object or scene category. Previous approaches focus on either combining a spatial regularizer with…

Computer Vision and Pattern Recognition · Computer Science 2017-08-18 Kai Han , Rafael S. Rezende , Bumsub Ham , Kwan-Yee K. Wong , Minsu Cho , Cordelia Schmid , Jean Ponce

Image matching is a key component of many tasks in computer vision and its main objective is to find correspondences between features extracted from different natural images. When images are represented as graphs, image matching boils down…

Computer Vision and Pattern Recognition · Computer Science 2022-05-31 Nancy Xu , Giannis Nikolentzos , Michalis Vazirgiannis , Henrik Boström