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Principal component analysis (PCA) is a classical dimension reduction method which projects data onto the principal subspace spanned by the leading eigenvectors of the covariance matrix. However, it behaves poorly when the number of…

统计理论 · 数学 2013-05-27 Zongming Ma

We propose a novel approach for optical flow estimation , targeted at large displacements with significant oc-clusions. It consists of two steps: i) dense matching by edge-preserving interpolation from a sparse set of matches; ii)…

计算机视觉与模式识别 · 计算机科学 2015-05-20 Jerome Revaud , Philippe Weinzaepfel , Zaid Harchaoui , Cordelia Schmid

As a seminal tool in self-supervised representation learning, contrastive learning has gained unprecedented attention in recent years. In essence, contrastive learning aims to leverage pairs of positive and negative samples for…

机器学习 · 计算机科学 2022-02-01 Ching-Yun Ko , Jeet Mohapatra , Sijia Liu , Pin-Yu Chen , Luca Daniel , Lily Weng

We study the robust principal component analysis (RPCA) problem in a distributed setting. The goal of RPCA is to find an underlying low-rank estimation for a raw data matrix when the data matrix is subject to the corruption of gross sparse…

分布式、并行与集群计算 · 计算机科学 2022-08-16 Wenda Chu

In sparse-view Computed Tomography (CT), only a small number of projection images are taken around the object, and sinogram interpolation method has a significant impact on final image quality. When the amount of sparsity (the amount of…

医学物理 · 物理学 2019-02-14 Xu Dong , Swapnil Vekhande , Guohua Cao

Odometry is a critical task for autonomous systems for self-localization and navigation. We propose a novel LiDAR-Visual odometry framework that integrates LiDAR point clouds and images for accurate and robust pose estimation. Our method…

计算机视觉与模式识别 · 计算机科学 2025-07-22 JunYing Huang , Ao Xu , DongSun Yong , KeRen Li , YuanFeng Wang , Qi Qin

Depth estimation is one of the key technologies in some fields such as autonomous driving and robot navigation. However, the traditional method of using a single sensor is inevitably limited by the performance of the sensor. Therefore, a…

计算机视觉与模式识别 · 计算机科学 2023-08-24 Guangyao Xu , Junfeng Fan , En Li , Xiaoyu Long , Rui Guo

Recent research on problem formulations based on decomposition into low-rank plus sparse matrices shows a suitable framework to separate moving objects from the background. The most representative problem formulation is the Robust Principal…

计算机视觉与模式识别 · 计算机科学 2016-11-29 Thierry Bouwmans , Andrews Sobral , Sajid Javed , Soon Ki Jung , El-Hadi Zahzah

In this paper we propose a new iterative algorithm to solve the fair PCA (FPCA) problem. We start with the max-min fair PCA formulation originally proposed in [1] and derive a simple and efficient iterative algorithm which is based on the…

机器学习 · 统计学 2023-05-11 Prabhu Babu , Petre Stoica

In machine learning practice it is often useful to identify relevant input features. Isolating key input elements, ranked according their respective degree of relevance, can help to elaborate on the process of decision making. Here, we…

机器学习 · 计算机科学 2025-11-24 Lorenzo Chicchi , Lorenzo Buffoni , Diego Febbe , Lorenzo Giambagli , Raffaele Marino , Duccio Fanelli

Real-time light detection and ranging (LiDAR) perceptions, e.g., 3D object detection and simultaneous localization and mapping are computationally intensive to mobile devices of limited resources and often offloaded on the edge. Offloading…

计算机视觉与模式识别 · 计算机科学 2023-09-12 Jin Heo , Gregorie Phillips , Per-Erik Brodin , Ada Gavrilovska

We design algorithms for Robust Principal Component Analysis (RPCA) which consists in decomposing a matrix into the sum of a low rank matrix and a sparse matrix. We propose a deep unrolled algorithm based on an accelerated alternating…

信号处理 · 电气工程与系统科学 2023-07-13 Elizabeth Z. C. Tan , Caroline Chaux , Emmanuel Soubies , Vincent Y. F. Tan

The performance of image based stereo estimation suffers from lighting variations, repetitive patterns and homogeneous appearance. Moreover, to achieve good performance, stereo supervision requires sufficient densely-labeled data, which are…

计算机视觉与模式识别 · 计算机科学 2020-05-06 Yu-Kai Huang , Yueh-Cheng Liu , Tsung-Han Wu , Hung-Ting Su , Winston H. Hsu

We propose Matrix ALPS for recovering a sparse plus low-rank decomposition of a matrix given its corrupted and incomplete linear measurements. Our approach is a first-order projected gradient method over non-convex sets, and it exploits a…

信息论 · 计算机科学 2012-06-22 Anastasios Kyrillidis , Volkan Cevher

We study distributed principal component analysis (PCA) in high-dimensional settings under the spiked model. In such regimes, sample eigenvectors can deviate significantly from population ones, introducing a persistent bias. Existing…

统计方法学 · 统计学 2025-05-29 Weiming Li , Zeng Li , Siyu Wang , Yanqing Yin , Junpeng Zhu

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…

计算机视觉与模式识别 · 计算机科学 2024-02-29 Zihua Liu , Songyan Zhang , Zhicheng Wang , Masatoshi Okutomi

Reduced-rank regression estimates regression coefficients by imposing a low-rank constraint on the matrix of regression coefficients, thereby accounting for correlations among response variables. To further improve predictive accuracy and…

统计方法学 · 统计学 2026-01-14 Kanji Goto , Shintaro Yuki , Kensuke Tanioka , Hiroshi Yadohisa

Computationally efficient moving object detection and depth estimation from a stereo camera is an extremely useful tool for many computer vision applications, including robotics and autonomous driving. In this paper we show how moving…

机器人学 · 计算机科学 2018-09-24 Goran Popović , Antea Hadviger , Ivan Marković , Ivan Petrović

We propose an active 3D mapping method for depth sensors, which allow individual control of depth-measuring rays, such as the newly emerging solid-state lidars. The method simultaneously (i) learns to reconstruct a dense 3D occupancy map…

计算机视觉与模式识别 · 计算机科学 2017-08-08 Karel Zimmermann , Tomas Petricek , Vojtech Salansky , Tomas Svoboda

Interpolation is a fundamental technique in scientific computing and is at the heart of many scientific visualization techniques. There is usually a trade-off between the approximation capabilities of an interpolation scheme and its…

数学软件 · 计算机科学 2021-02-18 Joshua Horacsek , Usman Alim