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Manifold learning has been proven to be an effective method for capturing the implicitly intrinsic structure of non-Euclidean data, in which one of the primary challenges is how to maintain the distortion-free (isometry) of the data…

Machine Learning · Computer Science 2024-09-24 Zihao Chen , Wenyong Wang , Yu Xiang

We propose Fiber Bundle Networks (FiberNet), a novel machine learning framework integrating differential geometry with machine learning. Unlike traditional deep neural networks relying on black-box function fitting, we reformulate…

Machine Learning · Computer Science 2025-12-02 Dong Liu

This work proposes an algorithm for explicitly constructing a pair of neural networks that linearize and reconstruct an embedded submanifold, from finite samples of this manifold. Our such-generated neural networks, called Flattening…

Machine Learning · Computer Science 2023-09-11 Michael Psenka , Druv Pai , Vishal Raman , Shankar Sastry , Yi Ma

Unsupervised dimensionality reduction is one of the commonly used techniques in the field of high dimensional data recognition problems. The deep autoencoder network which constrains the weights to be non-negative, can learn a low…

Computer Vision and Pattern Recognition · Computer Science 2020-09-18 Anyong Qin , Zhaowei Shang , Zhuolin Tan , Taiping Zhang , Yuan Yan Tang

To develop a deep-learning method for achieving fast high-resolution MR elastography from highly undersampled data without the need of high-quality training dataset. We first framed the deep neural network representation as a nonlinear…

Signal Processing · Electrical Eng. & Systems 2026-01-21 Xi Peng

Magnetic Resonance Imaging (MRI) is widely used in clinical practice, but suffered from prolonged acquisition time. Although deep learning methods have been proposed to accelerate acquisition and demonstrate promising performance, they rely…

Image and Video Processing · Electrical Eng. & Systems 2025-12-30 Hao Zhang , Qi Wang , Jian Sun , Zhijie Wen , Jun Shi , Shihui Ying

X-ray Computed Tomography (CT) is widely used in clinical applications such as diagnosis and image-guided interventions. In this paper, we propose a new deep learning based model for CT image reconstruction with the backbone network…

Image and Video Processing · Electrical Eng. & Systems 2020-09-21 Haimiao Zhang , Baodong Liu , Hengyong Yu , Bin Dong

Deep learning has enabled realistic face manipulation (i.e., deepfake), which poses significant concerns over the integrity of the media in circulation. Most existing deep learning techniques for deepfake detection can achieve promising…

Computer Vision and Pattern Recognition · Computer Science 2022-12-26 Bosheng Yan , Chang-Tsun Li , Xuequan Lu

Deep neural network (DNN) generally takes thousands of iterations to optimize via gradient descent and thus has a slow convergence. In addition, softmax, as a decision layer, may ignore the distribution information of the data during…

Machine Learning · Computer Science 2021-06-16 Rui Zhang , Ziheng Jiao , Hongyuan Zhang , Xuelong Li

Purpose: To develop a deep-learning-based image reconstruction framework for reproducible research in MRI. Methods: The BART toolbox offers a rich set of implementations of calibration and reconstruction algorithms for parallel imaging and…

Computer Vision and Pattern Recognition · Computer Science 2024-02-20 Moritz Blumenthal , Guanxiong Luo , Martin Schilling , H. Christian M. Holme , Martin Uecker

3D reconstruction from a single view image is a long-standing prob-lem in computer vision. Various methods based on different shape representations(such as point cloud or volumetric representations) have been proposed. However,the 3D shape…

Graphics · Computer Science 2020-03-10 Aihua Mao , Canglan Dai , Lin Gao , Ying He , Yong-jin Liu

While fine-tuning pre-trained networks has become a popular way to train image segmentation models, such backbone networks for image segmentation are frequently pre-trained using image classification source datasets, e.g., ImageNet. Though…

Computer Vision and Pattern Recognition · Computer Science 2022-07-08 Xuhong Li , Haoyi Xiong , Yi Liu , Dingfu Zhou , Zeyu Chen , Yaqing Wang , Dejing Dou

Robotic surgery has become a powerful tool for performing minimally invasive procedures, providing advantages in dexterity, precision, and 3D vision, over traditional surgery. One popular robotic system is the da Vinci surgical platform,…

Computer Vision and Pattern Recognition · Computer Science 2017-05-24 Menglong Ye , Edward Johns , Ankur Handa , Lin Zhang , Philip Pratt , Guang-Zhong Yang

Many current deep learning approaches make extensive use of backbone networks pre-trained on large datasets like ImageNet, which are then fine-tuned to perform a certain task. In remote sensing, the lack of comparable large annotated…

Computer Vision and Pattern Recognition · Computer Science 2024-08-22 Konrad Heidler , Lichao Mou , Di Hu , Pu Jin , Guangyao Li , Chuang Gan , Ji-Rong Wen , Xiao Xiang Zhu

It is proven that encoding images and videos through Symmetric Positive Definite (SPD) matrices, and considering the Riemannian geometry of the resulting space, can lead to increased classification performance. Taking into account manifold…

Computer Vision and Pattern Recognition · Computer Science 2016-03-16 Azadeh Alavi , Vishal M Patel , Rama Chellappa

Decoding brain activity from electroencephalography (EEG) is crucial for neuroscience and clinical applications. Among recent advances in deep learning for EEG, geometric learning stands out as its theoretical underpinnings on symmetric…

Artificial Intelligence · Computer Science 2026-02-27 Haohui Jia , Zheng Chen , Lingwei Zhu , Xu Cao , Yasuko Matsubara , Takashi Matsubara , Yasushi Sakurai

Deep neural networks can be effective means to automatically classify aerial images but is easy to overfit to the training data. It is critical for trained neural networks to be robust to variations that exist between training and test…

Computer Vision and Pattern Recognition · Computer Science 2019-09-25 Jiayun Wang , Patrick Virtue , Stella X. Yu

We propose Lie group embedded dynamical neural networks (LieEDNN) and the corresponding learning algorithms based on gradient descent and metric projection on smooth manifold, where we treat Lie group as an intrinsic representation for…

Machine Learning · Computer Science 2026-05-27 Tianwei Wang , Bryan Chen , Qian Zuo , Qiyue Xia , Xin Li , Wei Pang

This paper proposes a deep neural network (DNN) for piece-wise planar depthmap reconstruction from a single RGB image. While DNNs have brought remarkable progress to single-image depth prediction, piece-wise planar depthmap reconstruction…

Computer Vision and Pattern Recognition · Computer Science 2018-04-18 Chen Liu , Jimei Yang , Duygu Ceylan , Ersin Yumer , Yasutaka Furukawa

Edge detection is a long-standing problem in computer vision. Despite the efficiency of existing algorithms, their performance, however, rely heavily on the pre-trained weights of the backbone network on the ImageNet dataset. The use of…

Computer Vision and Pattern Recognition · Computer Science 2025-05-13 Chenguang Liu , Chisheng Wang , Feifei Dong , Xiayang Xiao , Xin Su , Chuanhua Zhu , Dejin Zhang , Qingquan Li