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Random hypothesis sampling lies at the core of many popular robust fitting techniques such as RANSAC. In this paper, we propose a novel hypothesis sampling scheme based on incremental computation of distances between partial rankings…

Computer Vision and Pattern Recognition · Computer Science 2011-06-02 Hoi Sim Wong , Tat-Jun Chin , Jin Yu , David Suter

As an example of the recently-introduced concept of rate of innovation, signals that are linear combinations of a finite number of Diracs per unit time can be acquired by linear filtering followed by uniform sampling. However, in reality,…

Applications · Statistics 2009-03-09 Vincent Y. F. Tan , Vivek K. Goyal

Vehicle relocation is the problem in which a mobile robot has to estimate the self-position with respect to an a priori map of landmarks using the perception and the motion measurements without using any knowledge of the initial…

Robotics · Computer Science 2015-06-26 Kanji Tanaka , Eiji Kondo

Composite function minimization captures a wide spectrum of applications in both computer vision and machine learning. It includes bound constrained optimization, $\ell_1$ norm regularized optimization, and $\ell_0$ norm regularized…

Numerical Analysis · Computer Science 2018-06-11 Ganzhao Yuan , Wei-Shi Zheng , Li Shen , Bernard Ghanem

We present a new harmonic-domain approach for extracting morphological information, in the form of Minkowski Functionals (MFs), from weak lensing (WL) convergence maps. Using a perturbative expansion of the MFs, which is expected to be…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-27 Dipak Munshi , Ludovic van Waerbeke , Joseph Smidt , Peter Coles

In this work we study the semi-supervised framework of confidence set classification with controlled expected size in minimax settings. We obtain semi-supervised minimax rates of convergence under the margin assumption and a H{\"o}lder…

Statistics Theory · Mathematics 2019-04-30 Evgenii Chzhen , Christophe Denis , Mohamed Hebiri

This paper presents the development of a joint optimization of an automatic gain control (AGC) algorithm and a linear \textit{minimum mean square error} (MMSE) receiver for multi-user multiple input multiple output (MU-MIMO) systems with…

Information Theory · Computer Science 2018-10-30 T. Cunha , R. C. de Lamare

Principal Component Analysis (PCA) has been widely used for dimensionality reduction and feature extraction. Robust PCA (RPCA), under different robust distance metrics, such as l1-norm and l2, p-norm, can deal with noise or outliers to some…

Machine Learning · Computer Science 2021-06-29 Zhao Kang , Hongfei Liu , Jiangxin Li , Xiaofeng Zhu , Ling Tian

The maximum likelihood estimation is computationally demanding for large datasets, particularly when the likelihood function includes integrals. Subsampling can reduce the computational burden, but it often results in efficiency loss.This…

Methodology · Statistics 2026-04-27 Miaomiao Su , Qihua Wang , Ruoyu Wang

Hierarchical models in Bayesian inverse problems are characterized by an assumed prior probability distribution for the unknown state and measurement error precision, and hyper-priors for the prior parameters. Combining these probability…

Computation · Statistics 2019-06-10 Arvind K. Saibaba , Johnathan Bardsley , D. Andrew Brown , Alen Alexanderian

It is desirable but challenging to fulfill system constraints and reach optimal performance in consensus protocol design for practical multi-agent systems (MASs). This paper investigates the optimal consensus problem for general linear MASs…

Optimization and Control · Mathematics 2016-02-01 Huiping Li , Weisheng Yan , Yang Shi , Fuqiang Liu

Metric learning has attracted extensive interest for its ability to provide personalized recommendations based on the importance of observed user-item interactions. Current metric learning methods aim to push negative items away from the…

Information Retrieval · Computer Science 2025-12-24 Yan Zhang , Li Deng , Lixin Duan , Sami Azam

In statistical dimensionality reduction, it is common to rely on the assumption that high dimensional data tend to concentrate near a lower dimensional manifold. There is a rich literature on approximating the unknown manifold, and on…

Machine Learning · Statistics 2022-02-22 Didong Li , Minerva Mukhopadhyay , David B. Dunson

Bayesian methods for low-rank matrix completion with noise have been shown to be very efficient computationally. While the behaviour of penalized minimization methods is well understood both from the theoretical and computational points of…

Statistics Theory · Mathematics 2015-04-08 The Tien Mai , Pierre Alquier

Recent advances in deep learning for vision tasks have seen the rise of State Space Models (SSMs) like Mamba, celebrated for their linear scalability. However, their adaptation to 2D visual data often necessitates complex modifications that…

Computer Vision and Pattern Recognition · Computer Science 2025-06-25 Minjong Cheon , Changbae Mun

Ample empirical evidence in deep neural network training suggests that a variety of optimizers tend to find nearly global optima. In this article, we adopt the reversed perspective that convergence to an arbitrary point is assumed rather…

Machine Learning · Computer Science 2025-10-13 Jerome Bolte , Quoc-Tung Le , Edouard Pauwels

Bias in computer vision systems can perpetuate or even amplify discrimination against certain populations. Considering that bias is often introduced by biased visual datasets, many recent research efforts focus on training fair models using…

Computer Vision and Pattern Recognition · Computer Science 2024-10-28 Ioannis Sarridis , Christos Koutlis , Symeon Papadopoulos , Christos Diou

Semi-supervised learning offers an appealing solution for remote sensing (RS) image segmentation to relieve the burden of labor-intensive pixel-level labeling. However, RS images pose unique challenges, including rich multi-scale features…

Computer Vision and Pattern Recognition · Computer Science 2025-07-02 Shanwen Wang , Xin Sun , Changrui Chen , Danfeng Hong , Jungong Han

Sparsity and rank functions are important ways of regularizing under-determined linear systems. Optimization of the resulting formulations is made difficult since both these penalties are non-convex and discontinuous. The most common remedy…

Optimization and Control · Mathematics 2019-01-01 Carl Olsson , Marcus Carlsson , Daniele Gerosa

Many machine learning applications such as in vision, biology and social networking deal with data in high dimensions. Feature selection is typically employed to select a subset of features which im- proves generalization accuracy as well…

Machine Learning · Computer Science 2016-06-15 Yamuna Prasad , Dinesh Khandelwal , K. K. Biswas
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