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Given dense image feature correspondences of a non-rigidly moving object across multiple frames, this paper proposes an algorithm to estimate its 3D shape for each frame. To solve this problem accurately, the recent state-of-the-art…

Computer Vision and Pattern Recognition · Computer Science 2019-04-30 Suryansh Kumar

Shuffled linear regression (SLR) seeks to estimate latent features through a linear transformation, complicated by unknown permutations in the measurement dimensions. This problem extends traditional least-squares (LS) and Least Absolute…

Statistics Theory · Mathematics 2025-04-17 Hang Liu , Anna Scaglione

We introduce a novel, end-to-end learnable, differentiable non-rigid tracker that enables state-of-the-art non-rigid reconstruction by a learned robust optimization. Given two input RGB-D frames of a non-rigidly moving object, we employ a…

Computer Vision and Pattern Recognition · Computer Science 2021-01-13 Aljaž Božič , Pablo Palafox , Michael Zollhöfer , Angela Dai , Justus Thies , Matthias Nießner

Establishing dense anatomical correspondence across distinct imaging modalities is a foundational yet challenging procedure for numerous medical image analysis studies and image-guided radiotherapy. Existing multi-modality image…

Computer Vision and Pattern Recognition · Computer Science 2024-04-02 Tony C. W. Mok , Zi Li , Yunhao Bai , Jianpeng Zhang , Wei Liu , Yan-Jie Zhou , Ke Yan , Dakai Jin , Yu Shi , Xiaoli Yin , Le Lu , Ling Zhang

To accelerate kernel methods, we propose a near input sparsity time algorithm for sampling the high-dimensional feature space implicitly defined by a kernel transformation. Our main contribution is an importance sampling method for…

Data Structures and Algorithms · Computer Science 2020-07-15 David P. Woodruff , Amir Zandieh

Kernel Ridge Regression (KRR) is a simple yet powerful technique for non-parametric regression whose computation amounts to solving a linear system. This system is usually dense and highly ill-conditioned. In addition, the dimensions of the…

Numerical Analysis · Computer Science 2017-07-18 Haim Avron , Kenneth L. Clarkson , David P. Woodruff

Image registration, the process of aligning two or more images, is the core technique of many (semi-)automatic medical image analysis tasks. Recent studies have shown that deep learning methods, notably convolutional neural networks…

Computer Vision and Pattern Recognition · Computer Science 2021-09-09 Bob D. de Vos , Floris F. Berendsen , Max A. Viergever , Hessam Sokooti , Marius Staring , Ivana Isgum

Standard convolutions are prevalent in image processing and deep learning, but their fixed kernels limits adaptability. Several deformation strategies of the reference kernel grid have been proposed. Yet, they lack a unified theoretical…

Computer Vision and Pattern Recognition · Computer Science 2025-07-31 Thomas Dagès , Michael Lindenbaum , Alfred M. Bruckstein

Deformable image registration (alignment) is highly sought after in numerous clinical applications, such as computer aided diagnosis and disease progression analysis. Deep Convolutional Neural Network (DCNN)-based image registration methods…

Image and Video Processing · Electrical Eng. & Systems 2024-05-17 Ruizhe Li , Grazziela Figueredo , Dorothee Auer , Christian Wagner , Xin Chen

In this paper, we propose a robust representation learning model called Adaptive Structure-constrained Low-Rank Coding (AS-LRC) for the latent representation of data. To recover the underlying subspaces more accurately, AS-LRC seamlessly…

Computer Vision and Pattern Recognition · Computer Science 2019-08-23 Zhao Zhang , Lei Wang , Sheng Li , Yang Wang , Zheng Zhang , Zhengjun Zha , Meng Wang

We study location-scale mixture priors for nonparametric statistical problems, including multivariate regression, density estimation and classification. We show that a rate-adaptive procedure can be obtained if the prior is properly…

Statistics Theory · Mathematics 2012-11-12 R. de Jonge , J. H. van Zanten

Neural implicit functions have achieved impressive results for reconstructing 3D shapes from single images. However, the image features for describing 3D point samplings of implicit functions are less effective when significant variations…

Computer Vision and Pattern Recognition · Computer Science 2022-02-01 Yixin Zhuang , Yunzhe Liu , Yujie Wang , Baoquan Chen

Kernel ridge regression (KRR) is a foundational tool in machine learning, with recent work emphasizing its connections to neural networks. However, existing theory primarily addresses the i.i.d. setting, while real-world data often exhibits…

Machine Learning · Statistics 2025-10-20 Dechen Zhang , Zhenmei Shi , Yi Zhang , Yingyu Liang , Difan Zou

Multiple kernel methods less consider the intrinsic manifold structure of multiple kernel data and estimate the consensus kernel matrix with quadratic number of variables, which makes it vulnerable to the noise and outliers within multiple…

Machine Learning · Computer Science 2024-10-22 Liang Du , Xin Ren , Haiying Zhang , Peng Zhou

Kernel ridge regression (KRR) is widely used for nonparametric regression over reproducing kernel Hilbert spaces. It offers powerful modeling capabilities at the cost of significant computational costs, which typically require $O(n^3)$…

Methodology · Statistics 2024-03-18 Xiaowu Dai , Huiying Zhong

We present a novel learned keypoint detection method designed to maximize the number of correct matches for the task of non-rigid image correspondence. Our training framework uses true correspondences, obtained by matching annotated image…

Computer Vision and Pattern Recognition · Computer Science 2022-12-20 Welerson Melo , Guilherme Potje , Felipe Cadar , Renato Martins , Erickson R. Nascimento

Random binning features, introduced in the seminal paper of Rahimi and Recht (2007), are an efficient method for approximating a kernel matrix using locality sensitive hashing. Random binning features provide a very simple and efficient way…

Machine Learning · Statistics 2020-03-24 Michael Kapralov , Navid Nouri , Ilya Razenshteyn , Ameya Velingker , Amir Zandieh

Pixel-wise losses, e.g., cross-entropy or L2, have been widely used in structured prediction tasks as a spatial extension of generic image classification or regression. However, its i.i.d. assumption neglects the structural regularity…

Computer Vision and Pattern Recognition · Computer Science 2019-10-22 Jyh-Jing Hwang , Tsung-Wei Ke , Jianbo Shi , Stella X. Yu

Deformable image registration poses a challenging problem where, unlike most deep learning tasks, a complex relationship between multiple coordinate systems has to be considered. Although data-driven methods have shown promising…

Computer Vision and Pattern Recognition · Computer Science 2025-03-11 Vasiliki Sideri-Lampretsa , Nil Stolt-Ansó , Huaqi Qiu , Julian McGinnis , Wenke Karbole , Martin Menten , Daniel Rueckert

Image registration techniques usually assume that the images to be registered are of a certain type (e.g. single- vs. multi-modal, 2D vs. 3D, rigid vs. deformable) and there lacks a general method that can work for data under all…

Image and Video Processing · Electrical Eng. & Systems 2025-01-28 Quang Luong Nhat Nguyen , Ruiming Cao , Laura Waller
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