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In this paper, we introduce a definition of discrete conformality for triangulated surfaces with flat cone metrics and describe an algorithm for solving the problem of prescribing curvature, that is to deform the metric discrete conformally…

Computational Geometry · Computer Science 2014-12-23 Jian Sun , Tianqi Wu , Xianfeng Gu , Feng Luo

An adaptive regularization algorithm for unconstrained nonconvex optimization is proposed that is capable of handling inexact objective-function and derivative values, and also of providing approximate minimizer of arbitrary order. In…

Optimization and Control · Mathematics 2021-11-30 N. I. M. Gould , Ph. L. Toint

This paper introduces the use of unbalanced optimal transport methods as a similarity measure for diffeomorphic matching of imaging data. The similarity measure is a key object in diffeomorphic registration methods that, together with the…

Numerical Analysis · Mathematics 2017-06-19 Jean Feydy , Benjamin Charlier , François-Xavier Vialard , Gabriel Peyré

This paper presents a structured ordinal measure method for video-based face recognition that simultaneously learns ordinal filters and structured ordinal features. The problem is posed as a non-convex integer program problem that includes…

Computer Vision and Pattern Recognition · Computer Science 2015-07-10 Ran He , Tieniu Tan , Larry Davis , Zhenan Sun

There is extensive interest in metric learning methods for image retrieval. Many metric learning loss functions focus on learning a correct ranking of training samples, but strongly overfit semantically inconsistent labels and require a…

Machine Learning · Computer Science 2023-06-05 Christopher Liao , Theodoros Tsiligkaridis , Brian Kulis

We present a convex formulation of dictionary learning for sparse signal decomposition. Convexity is obtained by replacing the usual explicit upper bound on the dictionary size by a convex rank-reducing term similar to the trace norm. In…

Machine Learning · Computer Science 2008-12-11 Francis Bach , Julien Mairal , Jean Ponce

Composite minimization is a powerful framework in large-scale convex optimization, based on decoupling of the objective function into terms with structurally different properties and allowing for more flexible algorithmic design. We…

Optimization and Control · Mathematics 2023-02-17 Jelena Diakonikolas , Cristóbal Guzmán

Deformable image registration is a critical technology in medical image analysis, with broad applications in clinical practice such as disease diagnosis, multi-modal fusion, and surgical navigation. Traditional methods often rely on…

Image and Video Processing · Electrical Eng. & Systems 2026-03-04 Zhengyong Huang , Xingwen Sun , Xuting Chang , Ning Jiang , Yao Wang , Jianfei Sun , Hongbin Han , Yao Sui

Deformable registration is a crucial step in many medical procedures such as image-guided surgery and radiation therapy. Most recent learning-based methods focus on improving the accuracy by optimizing the non-linear spatial correspondence…

Image and Video Processing · Electrical Eng. & Systems 2021-10-05 Minh Q. Tran , Tuong Do , Huy Tran , Erman Tjiputra , Quang D. Tran , Anh Nguyen

This paper focuses on pose registration of different object instances from the same category. This is required in online object mapping because object instances detected at test time usually differ from the training instances. Our approach…

Computer Vision and Pattern Recognition · Computer Science 2021-03-09 Qiaojun Feng , Nikolay Atanasov

One of the fundamental challenges in supervised learning for multimodal image registration is the lack of ground-truth for voxel-level spatial correspondence. This work describes a method to infer voxel-level transformation from…

Medical image registration is a challenging task involving the estimation of spatial transformations to establish anatomical correspondence between pairs or groups of images. Recently, deep learning-based image registration methods have…

Computer Vision and Pattern Recognition · Computer Science 2022-11-28 Xiang Chen , Yan Xia , Nishant Ravikumar , Alejandro F Frangi

Decentralized optimization is a powerful paradigm that finds applications in engineering and learning design. This work studies decentralized composite optimization problems with non-smooth regularization terms. Most existing gradient-based…

Optimization and Control · Mathematics 2019-10-29 Sulaiman A. Alghunaim , Kun Yuan , Ali H. Sayed

Deformable registration is crucial in medical imaging. Several existing applications include lesion tracking, probabilistic atlas generation, and treatment response evaluation. However, current methods often lack robustness and…

Image and Video Processing · Electrical Eng. & Systems 2026-03-04 Yunzheng Zhu , Aichi Chien , Kimaya kulkarni , Luoting Zhuang , Stephen Park , Ricky Savjani , Daniel Low , William Hsu

Nonconvex optimization is central to modern machine learning, but the general framework of nonconvex optimization yields weak convergence guarantees that are too pessimistic compared to practice. On the other hand, while convexity enables…

Machine Learning · Computer Science 2025-02-19 Artem Riabinin , Ahmed Khaled , Peter Richtárik

Diffeomorphic deformable image registration is crucial in many medical image studies, as it offers unique, special properties including topology preservation and invertibility of the transformation. Recent deep learning-based deformable…

Computer Vision and Pattern Recognition · Computer Science 2021-03-02 Tony C. W. Mok , Albert C. S. Chung

Most existing distance metric learning methods assume perfect side information that is usually given in pairwise or triplet constraints. Instead, in many real-world applications, the constraints are derived from side information, such as…

Machine Learning · Computer Science 2012-03-19 Kaizhu Huang , Rong Jin , Zenglin Xu , Cheng-Lin Liu

We propose a semantic similarity metric for image registration. Existing metrics like Euclidean Distance or Normalized Cross-Correlation focus on aligning intensity values, giving difficulties with low intensity contrast or noise. Our…

Machine Learning · Computer Science 2021-04-21 Steffen Czolbe , Oswin Krause , Aasa Feragen

Recent works in medical image registration have proposed the use of Implicit Neural Representations, demonstrating performance that rivals state-of-the-art learning-based methods. However, these implicit representations need to be optimized…

Image and Video Processing · Electrical Eng. & Systems 2023-10-04 Louis D. van Harten , Jaap Stoker , Ivana Išgum

Performance disparities of image recognition across demographic groups are known to exist in deep learning-based models, due to imbalanced group representations or spurious correlation between group and target labels. Previous work has…

Computer Vision and Pattern Recognition · Computer Science 2025-12-01 Miao Zhang , Rumi Chunara
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