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High dimensional data analysis for exploration and discovery includes three fundamental tasks: dimensionality reduction, clustering, and visualization. When the three associated tasks are done separately, as is often the case thus far,…

Machine Learning · Computer Science 2020-12-02 Stan Z. Li , Lirong Wu , Zelin Zang

Deep learning has become a valuable tool for the automation of certain medical image segmentation tasks, significantly relieving the workload of medical specialists. Some of these tasks require segmentation to be performed on a subset of…

Image and Video Processing · Electrical Eng. & Systems 2024-02-06 José Morano , Guilherme Aresta , Dmitrii Lachinov , Julia Mai , Ursula Schmidt-Erfurth , Hrvoje Bogunović

Domain-generalized LiDAR semantic segmentation (LSS) seeks to train models on source-domain point clouds that generalize reliably to multiple unseen target domains, which is essential for real-world LiDAR applications. However, existing…

Computer Vision and Pattern Recognition · Computer Science 2026-02-17 Jindong Zhao , Yuan Gao , Yang Xia , Sheng Nie , Jun Yue , Weiwei Sun , Shaobo Xia

Dimension reduction of multivariate data supervised by auxiliary information is considered. A series of basis for dimension reduction is obtained as minimizers of a novel criterion. The proposed method is akin to continuum regression, and…

Methodology · Statistics 2018-06-29 Sungkyu Jung

Linear codes with complementary duals (abbreviated LCD) are linear codes whose intersection with their dual is trivial. When they are binary, they play an important role in armoring implementations against side-channel attacks and fault…

Information Theory · Computer Science 2017-03-14 Claude Carlet , Sihem Mesnager , Chunming Tang , Yanfeng Qi

Dual-comb spectroscopy (DCS) utilizes a pair of broadband mutually coherent laser frequency combs to enable high-resolution, high-accuracy spectroscopic measurements with atomic-clock-level frequency referencing, and rapid, multiplexed…

Optics · Physics 2025-10-01 D. Konnov , A. Muraviev , K. L. Vodopyanov

Coreset selection seeks to choose a subset of crucial training samples for efficient learning. It has gained traction in deep learning, particularly with the surge in training dataset sizes. Sample selection hinges on two main aspects: a…

Machine Learning · Computer Science 2024-03-05 Zhijing Wan , Zhixiang Wang , Yuran Wang , Zheng Wang , Hongyuan Zhu , Shin'ichi Satoh

Subspace clustering is a classical technique that has been widely used for human motion segmentation and other related tasks. However, existing segmentation methods often cluster data without guidance from prior knowledge, resulting in…

Computer Vision and Pattern Recognition · Computer Science 2022-02-11 Tao Zhou , Huazhu Fu , Chen Gong , Ling Shao , Fatih Porikli , Haibin Ling , Jianbing Shen

The Radon cumulative distribution transform (R-CDT), is an easy-to-compute feature extractor that facilitates image classification tasks especially in the small data regime. It is closely related to the sliced Wasserstein distance and…

Numerical Analysis · Mathematics 2025-06-11 Matthias Beckmann , Robert Beinert , Jonas Bresch

The problem of unsupervised learning and segmentation of hyperspectral images is a significant challenge in remote sensing. The high dimensionality of hyperspectral data, presence of substantial noise, and overlap of classes all contribute…

Computer Vision and Pattern Recognition · Computer Science 2018-10-17 James M. Murphy , Mauro Maggioni

This paper presents a region-partition based attraction field dual representation for line segment maps, and thus poses the problem of line segment detection (LSD) as the region coloring problem. The latter is then addressed by learning…

Computer Vision and Pattern Recognition · Computer Science 2019-03-07 Nan Xue , Song Bai , Fudong Wang , Gui-Song Xia , Tianfu Wu , Liangpei Zhang

Quantifying degrees of fusion and separability between data groups in representation space is a fundamental problem in representation learning, particularly under domain shift. A meaningful metric should capture fusion-altering factors like…

Machine Learning · Computer Science 2026-01-30 Xiaolong Zhang , Jianwei Zhang , Xubo Song

Complex-linearization of a class of systems of second order ordinary differential equations (ODEs) has already been studied with complex symmetry analysis. Linearization of this class has been achieved earlier by complex method, however,…

Classical Analysis and ODEs · Mathematics 2016-10-31 Hina M. Dutt , M. Safdar

Optimal transport has been very successful for various machine learning tasks; however, it is known to suffer from the curse of dimensionality. Hence, dimensionality reduction is desirable when applied to high-dimensional data with…

Machine Learning · Statistics 2025-07-21 Jie Wang , March Boedihardjo , Yao Xie

Encoding time-series with Linear Dynamical Systems (LDSs) leads to rich models with applications ranging from dynamical texture recognition to video segmentation to name a few. In this paper, we propose to represent LDSs with…

Computer Vision and Pattern Recognition · Computer Science 2017-02-28 Wenbing Huang , Fuchun Sun , Lele Cao , Mehrtash Harandi

Maximum-distance separable (MDS) convolutional codes are characterized by the property that their free distance reaches the generalized Singleton bound. In this paper, new criteria to construct MDS convolutional codes are presented.…

Information Theory · Computer Science 2023-05-26 Zita Abreu , Julia Lieb , Raquel Pinto , Joachim Rosenthal

Digital twins (DTs) are promising for wireless deployment, optimization, and data generation, but building a propagation-faithful twin from sparse real measurements remains difficult. This paper proposes a wireless environment digital twin…

Signal Processing · Electrical Eng. & Systems 2026-05-22 Junjie Ai , Shurui Xu , Yanqing Ren , Zhuoyu Liu , Weicong Chen , Wankai Tang , Xiao Li , Chao-Kai Wen , Shi Jin

The ability to deploy robots that can operate safely in diverse environments is crucial for developing embodied intelligent agents. As a community, we have made tremendous progress in within-domain LiDAR semantic segmentation. However, do…

Computer Vision and Pattern Recognition · Computer Science 2023-08-30 Cristiano Saltori , Aljoša Ošep , Elisa Ricci , Laura Leal-Taixé

State-of-the-art approaches for semantic image segmentation are built on Convolutional Neural Networks (CNNs). The typical segmentation architecture is composed of (a) a downsampling path responsible for extracting coarse semantic features,…

Computer Vision and Pattern Recognition · Computer Science 2017-11-01 Simon Jégou , Michal Drozdzal , David Vazquez , Adriana Romero , Yoshua Bengio

Sliced Wasserstein distances preserve properties of classic Wasserstein distances while being more scalable for computation and estimation in high dimensions. The goal of this work is to quantify this scalability from three key aspects: (i)…

Machine Learning · Statistics 2022-10-18 Sloan Nietert , Ritwik Sadhu , Ziv Goldfeld , Kengo Kato
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