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We consider the robust multi-dimensional scaling (RMDS) problem in this paper. The goal is to localize point locations from pairwise distances that may be corrupted by outliers. Inspired by classic MDS theories, and nonconvex works for the…

Machine Learning · Statistics 2025-01-07 Tong Deng , Tianming Wang

The random vector functional link (RVFL) network is well-regarded for its strong generalization capabilities in the field of machine learning. However, its inherent dependencies on the square loss function make it susceptible to noise and…

Machine Learning · Computer Science 2024-10-08 M. Sajid , A. Quadir , M. Tanveer

The Resource Description Framework (RDF) is a framework for describing metadata, such as attributes and relationships of resources on the Web. Machine learning tasks for RDF graphs adopt three methods: (i) support vector machines (SVMs)…

Machine Learning · Computer Science 2022-03-11 Yota Minami , Ken Kaneiwa

In recent years, the learned local descriptors have outperformed handcrafted ones by a large margin, due to the powerful deep convolutional neural network architectures such as L2-Net [1] and triplet based metric learning [2]. However,…

Computer Vision and Pattern Recognition · Computer Science 2019-01-29 Yanwu Xu , Mingming Gong , Tongliang Liu , Kayhan Batmanghelich , Chaohui Wang

When facing graph signal processing tasks, the workhorse assumption is that the graph describing the support of the signals is known. However, in many relevant applications the available graph suffers from observation errors and…

Signal Processing · Electrical Eng. & Systems 2024-12-03 Samuel Rey , Victor M. Tenorio , Antonio G. Marques

Continuous optimization is an important problem in many areas of AI, including vision, robotics, probabilistic inference, and machine learning. Unfortunately, most real-world optimization problems are nonconvex, causing standard convex…

Artificial Intelligence · Computer Science 2016-11-10 Abram L. Friesen , Pedro Domingos

Deformable image registration estimates voxel-wise correspondences between images through spatial transformations, and plays a key role in medical imaging. While deep learning methods have significantly reduced runtime, efficiently handling…

Computer Vision and Pattern Recognition · Computer Science 2025-10-28 Tianran Li , Marius Staring , Yuchuan Qiao

The problem of localizing a set of nodes from relative pairwise measurements is at the core of many applications such as Structure from Motion (SfM), sensor networks, and Simultaneous Localization And Mapping (SLAM). In practical…

Computation · Statistics 2019-10-15 Mahroo Bahreinian , Roberto Tron

Low-Rank Representation (LRR) highly suffers from discarding the locality information of data points in subspace clustering, as it may not incorporate the data structure nonlinearity and the non-uniform distribution of observations over the…

Machine Learning · Computer Science 2022-03-09 Eysan Mehrbani , Mohammad Hossein Kahaei , Seyed Aliasghar Beheshti

Current approaches of Reinforcement Learning (RL) applied in urban Autonomous Driving (AD) focus on decoupling the perception training from the driving policy training. The main reason is to avoid training a convolution encoder alongside a…

Computer Vision and Pattern Recognition · Computer Science 2023-12-20 Daniel Coelho , Miguel Oliveira , Vitor Santos

$3$D structure recovery from a collection of $2$D images requires the estimation of the camera locations and orientations, i.e. the camera motion. For large, irregular collections of images, existing methods for the location estimation…

Computer Vision and Pattern Recognition · Computer Science 2015-06-05 Onur Ozyesil , Amit Singer

The restricted polynomially-tilted pairwise interaction (RPPI) distribution gives a flexible model for compositional data. It is particularly well-suited to situations where some of the marginal distributions of the components of a…

Methodology · Statistics 2023-05-15 Janice L. Scealy , Kassel L. Hingee , John T. Kent , Andrew T. A. Wood

Inferring missing links or detecting spurious ones based on observed graphs, known as link prediction, is a long-standing challenge in graph data analysis. With the recent advances in deep learning, graph neural networks have been used for…

Social and Information Networks · Computer Science 2023-01-03 Xingping Xian , Tao Wu , Xiaoke Ma , Shaojie Qiao , Yabin Shao , Chao Wang , Lin Yuan , Yu Wu

Classification of high-dimensional spectroscopic data is a common task in analytical chemistry. Well-established procedures like support vector machines (SVMs) and partial least squares discriminant analysis (PLS-DA) are the most common…

Applications · Statistics 2021-01-29 Andrea Cappozzo , Ludovic Duponchel , Francesca Greselin , Thomas Brendan Murphy

The presence of outliers can significantly degrade the performance of ellipse fitting methods. We develop an ellipse fitting method that is robust to outliers based on the maximum correntropy criterion with variable center (MCC-VC), where a…

Computer Vision and Pattern Recognition · Computer Science 2023-05-17 Wei Wang , Gang Wang , Chenlong Hu , K. C. Ho

Recomi (REpeated COrrelation Matrix Inversion) is a polynomially fast algorithm for searching optimally stable solutions of the perceptron learning problem. For random unbiased and biased patterns it is shown that the algorithm is able to…

Condensed Matter · Physics 2009-10-22 Jorg Imhoff

Robust principal component analysis (RPCA) is a critical tool in modern machine learning, which detects outliers in the task of low-rank matrix reconstruction. In this paper, we propose a scalable and learnable non-convex approach for…

Machine Learning · Computer Science 2023-02-28 HanQin Cai , Jialin Liu , Wotao Yin

Despite the remarkable progress facilitated by learning-based stereo-matching algorithms, disparity estimation in low-texture, occluded, and bordered regions still remains a bottleneck that limits the performance. To tackle these…

Computer Vision and Pattern Recognition · Computer Science 2024-02-29 Zihua Liu , Songyan Zhang , Zhicheng Wang , Masatoshi Okutomi

Local Polynomial Regression (LPR) is a widely used nonparametric method for modeling complex relationships due to its flexibility and simplicity. It estimates a regression function by fitting low-degree polynomials to localized subsets of…

Methodology · Statistics 2025-07-22 Yaniv Shulman

Recent point cloud completion models, including transformer-based, denoising-based, and other state-of-the-art approaches, generate globally plausible shapes from partial inputs but often leave local geometric inconsistencies. We propose…

Computer Vision and Pattern Recognition · Computer Science 2025-11-24 Bhanu Pratap Paregi , Vaibhav Kumar
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