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In this paper, we study the application of sparse principal component analysis (PCA) to clustering and feature selection problems. Sparse PCA seeks sparse factors, or linear combinations of the data variables, explaining a maximum amount of…

Artificial Intelligence · Computer Science 2008-10-08 Ronny Luss , Alexandre d'Aspremont

Image convolutions have been a cornerstone of a great number of deep learning advances in computer vision. The research community is yet to settle on an equivalent operator for sparse, unstructured continuous data like point clouds and…

Computer Vision and Pattern Recognition · Computer Science 2020-12-03 Dominic Jack , Frederic Maire , Simon Denman , Anders Eriksson

Recursive projection aggregation (RPA) decoding as introduced in [1] is a novel decoding algorithm which performs close to the maximum likelihood decoder for short-length Reed-Muller codes. Recently, an extension to RPA decoding, called…

Information Theory · Computer Science 2022-11-03 Johannes Voigt , Holger Jäkel , Laurent Schmalen

Sparse matrix-vector multiplication is often employed in many data-analytic workloads in which low latency and high throughput are more valuable than exact numerical convergence. FPGAs provide quick execution times while offering precise…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-09-23 Alberto Parravicini , Francesco Sgherzi , Marco D. Santambrogio

Topological data analysis offers a rich source of valuable information to study vision problems. Yet, so far we lack a theoretically sound connection to popular kernel-based learning techniques, such as kernel SVMs or kernel PCA. In this…

Machine Learning · Statistics 2014-12-24 Jan Reininghaus , Stefan Huber , Ulrich Bauer , Roland Kwitt

Spectral clustering is a powerful method for finding structure in a dataset through the eigenvectors of a similarity matrix. It often outperforms traditional clustering algorithms such as $k$-means when the structure of the individual…

Numerical Analysis · Mathematics 2019-04-26 Paola Favati , Grazia Lotti , Ornella Menchi , Francesco Romani

In high-dimensional and high-stakes contexts, ensuring both rigorous statistical guarantees and interpretability in feature extraction from complex tabular data remains a formidable challenge. Traditional methods such as Principal Component…

Machine Learning · Computer Science 2025-03-25 Xiaochen Zhang , Haoyi Xiong

Sparse principal component analysis (sparse PCA) is a widely used technique for dimensionality reduction in multivariate analysis, addressing two key limitations of standard PCA. First, sparse PCA can be implemented in high-dimensional low…

Methodology · Statistics 2025-10-07 Jan O. Bauer

3D occupancy prediction has attracted much attention in the field of autonomous driving due to its powerful geometric perception and object recognition capabilities. However, existing methods have not explored the most essential…

Computer Vision and Pattern Recognition · Computer Science 2025-05-30 Qiucheng Yu , Yuan Xie , Xin Tan

Spatial join is a fundamental operation in spatial databases. With the rapid growth of 3D data in applications such as LiDAR-based object detection and 3D digital pathology, there is an increasing need to support spatial join over 3D…

Databases · Computer Science 2026-04-23 Lyuheng Yuan , Da Yan , Akhlaque Ahmad , Fusheng Wang

Leveraging recent diffusion models, LiDAR-based large-scale 3D scene generation has achieved great success. While recent voxel-based approaches can generate both geometric structures and semantic labels, existing range-view methods are…

Computer Vision and Pattern Recognition · Computer Science 2025-12-02 Dekai Zhu , Yixuan Hu , Youquan Liu , Dongyue Lu , Lingdong Kong , Slobodan Ilic

We present a rotation-equivariant unsupervised learning framework for the sparse deconvolution of non-negative scalar fields defined on the unit sphere. Spherical signals with multiple peaks naturally arise in Diffusion MRI (dMRI), where…

Image and Video Processing · Electrical Eng. & Systems 2021-02-19 Axel Elaldi , Neel Dey , Heejong Kim , Guido Gerig

We present a first look at ProtoX, a code generation framework for stencil and pointwise operations that occur frequently in the numerical solution of partial differential equations. ProtoX has Proto as its library frontend and SPIRAL as…

Mathematical Software · Computer Science 2023-07-18 Het Mankad , Sanil Rao , Brian Van Straalen , Phillip Colella , Franz Franchetti

Remote sensing image fusion aims to create a high-resolution multi/hyper-spectral image from a high-resolution image with limited spectral information and a low-resolution image with abundant spectral data. Recently, deep learning (DL)…

Computer Vision and Pattern Recognition · Computer Science 2026-05-12 Siran Peng , Xiangyu Zhu , Shang-Qi Deng , Liang-Jian Deng , Zhen Lei

Single-pixel imaging (SPI) is a novel optical imaging technique by replacing the pixelated sensor array in a conventional camera with a single-pixel detector. In previous works, SPI is usually used for capturing object images or performing…

Computer Vision and Pattern Recognition · Computer Science 2022-10-13 Wei Huang , Jiaxiang Li , Shuming Jiao , Zibang Zhang

Self-similarity learning has been recognized as a promising method for single image super-resolution (SR) to produce high-resolution (HR) image in recent years. The performance of learning based SR reconstruction, however, highly depends on…

Computer Vision and Pattern Recognition · Computer Science 2018-09-28 Jiahe Shi , Chun Qi

This paper proposes a versatile high-performance execution model, inspired by systolic arrays, for memory-bound regular kernels running on CUDA-enabled GPUs. We formulate a systolic model that shifts partial sums by CUDA warp primitives for…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-09-09 Peng Chen , Mohamed Wahib , Shinichiro Takizawa , Ryousei Takano , Satoshi Matsuoka

In autonomous driving, Vision Language Models (VLMs) excel at high-level reasoning , whereas semantic occupancy provides fine-grained details. Despite significant progress in individual fields, there is still no method that can effectively…

Computer Vision and Pattern Recognition · Computer Science 2026-01-21 Chenxu Dang , Jie Wang , Guang Li , Zhiwen Hou , Zihan You , Hangjun Ye , Jie Ma , Long Chen , Yan Wang

In many real-world problems, we are dealing with collections of high-dimensional data, such as images, videos, text and web documents, DNA microarray data, and more. Often, high-dimensional data lie close to low-dimensional structures…

Computer Vision and Pattern Recognition · Computer Science 2013-02-06 Ehsan Elhamifar , Rene Vidal

We propose sparseGeoHOPCA, a novel framework for sparse higher-order principal component analysis (SHOPCA) that introduces a geometric perspective to high-dimensional tensor decomposition. By unfolding the input tensor along each mode and…

Numerical Analysis · Mathematics 2025-06-11 Renjie Xu , Chong Wu , Maolin Che , Zhuoheng Ran , Yimin Wei , Hong Yan
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