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The objective of this paper is to learn dense 3D shape correspondence for topology-varying generic objects in an unsupervised manner. Conventional implicit functions estimate the occupancy of a 3D point given a shape latent code. Instead,…

Computer Vision and Pattern Recognition · Computer Science 2023-01-02 Feng Liu , Xiaoming Liu

Many tools empower analysts and data scientists to consume analysis results in a visual interface, such as a dashboard. When the underlying data changes, these results need to be updated, but this update can take a long time -- all while…

Databases · Computer Science 2023-02-14 Dixin Tang , Alan Fekete , Indranil Gupta , Aditya G. Parameswaran

The rise in data has led to the need for dimension reduction techniques, especially in the area of non-scalar variables, including time series, natural language processing, and computer vision. In this paper, we specifically investigate…

Machine Learning · Computer Science 2023-05-04 Aniruddha Rajendra Rao , Haiyan Wang , Chetan Gupta

Multi-dimensional data exploration is a classic research topic in visualization. Most existing approaches are designed for identifying record patterns in dimensional space or subspace. In this paper, we propose a visual analytics approach…

Machine Learning · Computer Science 2021-04-27 Peng Xie , Wenyuan Tao , Jie Li , Wentao Huang , Siming Chen

We propose a categorical semantics for machine learning algorithms in terms of lenses, parametric maps, and reverse derivative categories. This foundation provides a powerful explanatory and unifying framework: it encompasses a variety of…

Machine Learning · Computer Science 2024-04-02 Geoffrey S. H. Cruttwell , Bruno Gavranovic , Neil Ghani , Paul Wilson , Fabio Zanasi

Dimensionality reduction techniques are widely used for visualizing high-dimensional data in two dimensions. Existing methods are typically designed to preserve either local (e.g., $t$-SNE, UMAP) or global (e.g., MDS, PCA) structure of the…

Machine Learning · Computer Science 2026-02-02 Noël Kury , Dmitry Kobak , Sebastian Damrich

Semantic Abstraction's key observation is that 2D VLMs' relevancy activations roughly correspond to their confidence of whether and where an object is in the scene. Thus, relevancy maps are treated as "abstract object" representations. We…

Computer Vision and Pattern Recognition · Computer Science 2025-12-30 Tasha Pais , Nikhilesh Belulkar

In recent years it has become popular to study machine learning problems in a setting of ordinal distance information rather than numerical distance measurements. By ordinal distance information we refer to binary answers to distance…

Machine Learning · Statistics 2017-07-25 Matthäus Kleindessner , Ulrike von Luxburg

Dimensionality reduction techniques are fundamental for analyzing and visualizing high-dimensional data. With established methods like t-SNE and PCA presenting a trade-off between representational power and interpretability. This paper…

Machine Learning · Computer Science 2025-04-25 Erik Bergh

The growing prevalence of high-dimensional data has fostered the development of multidimensional projection (MP) techniques, such as t-SNE, UMAP, and LAMP, for data visualization and exploration. However, conventional MP methods typically…

Graphics · Computer Science 2024-07-24 Maniru Ibrahim

Multidimensional projections (MP) are among the most essential approaches in the visual analysis of multidimensional data. It transforms multidimensional data into two-dimensional representations that may be shown as scatter plots while…

Computer Vision and Pattern Recognition · Computer Science 2024-07-24 Maniru Ibrahim , Thales Vieira

Deep Neural Networks (DNNs) became the standard tool for function approximation with most of the introduced architectures being developed for high-dimensional input data. However, many real-world problems have low-dimensional inputs for…

Neural and Evolutionary Computing · Computer Science 2024-02-06 Daniel Jost , Basavasagar Patil , Xavier Alameda-Pineda , Chris Reinke

We propose a multifidelity dimension reduction method to identify a low-dimensional structure present in many engineering models. The structure of interest arises when functions vary primarily on a low-dimensional subspace of the…

Numerical Analysis · Mathematics 2020-01-08 Rémi Lam , Olivier Zahm , Youssef Marzouk , Karen Willcox

Multi-UAV collaborative 3D object detection can perceive and comprehend complex environments by integrating complementary information, with applications encompassing traffic monitoring, delivery services and agricultural management.…

Computer Vision and Pattern Recognition · Computer Science 2024-06-10 Pengju Tian , Peirui Cheng , Yuchao Wang , Zhechao Wang , Zhirui Wang , Menglong Yan , Xue Yang , Xian Sun

Diffusion Map is a spectral dimensionality reduction technique which is able to uncover nonlinear submanifolds in high-dimensional data. And, it is increasingly applied across a wide range of scientific disciplines, such as biology,…

Machine Learning · Computer Science 2026-01-29 Sönke Beier , Paula Pirker-Díaz , Friedrich Pagenkopf , Karoline Wiesner

In this work, we study distance metric learning (DML) for high dimensional data. A typical approach for DML with high dimensional data is to perform the dimensionality reduction first before learning the distance metric. The main…

Machine Learning · Computer Science 2015-09-16 Qi Qian , Rong Jin , Lijun Zhang , Shenghuo Zhu

Understanding Deep Neural Network (DNN) performance in changing conditions is essential for deploying DNNs in safety critical applications with unconstrained environments, e.g., perception for self-driving vehicles or medical image…

Computer Vision and Pattern Recognition · Computer Science 2022-02-09 Molly O'Brien , Julia Bukowski , Mathias Unberath , Aria Pezeshk , Greg Hager

Visual analytics now plays a central role in decision-making across diverse disciplines, but it can be unreliable: the knowledge or insights derived from the analysis may not accurately reflect the underlying data. In this dissertation, we…

Human-Computer Interaction · Computer Science 2025-12-23 Hyeon Jeon

Nonlinear dimensionality reduction lacks interpretability due to the absence of source features in low-dimensional embedding space. We propose an interpretable method featMAP to preserve source features by tangent space embedding. The core…

Computer Vision and Pattern Recognition · Computer Science 2024-04-03 Yang Yang , Hongjian Sun , Jialei Gong , Di Yu

Accurately detecting lane lines in 3D space is crucial for autonomous driving. Existing methods usually first transform image-view features into bird-eye-view (BEV) by aid of inverse perspective mapping (IPM), and then detect lane lines…

Computer Vision and Pattern Recognition · Computer Science 2023-06-09 Ziye Chen , Kate Smith-Miles , Bo Du , Guoqi Qian , Mingming Gong
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