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Multidimensional scaling visualizes dissimilarities among objects and reduces data dimensionality. While many methods address symmetric proximity data, asymmetric and especially three-way proximity data (capturing relationships across…

Methodology · Statistics 2025-11-21 Aleix Alcacer , Rafael Benitez , Vicente J. Bolos , Irene Epifanio

Low-dimensional visualizations, or "projection maps," are widely used in scientific and creative domains to interpret large-scale and complex datasets. These visualizations not only aid in understanding existing knowledge spaces but also…

Artificial Intelligence · Computer Science 2025-05-16 Xingjian Zhang , Ziyang Xiong , Shixuan Liu , Yutong Xie , Tolga Ergen , Dongsub Shim , Hua Xu , Honglak Lee , Qiaozhu Me

Selecting the dimensionality reduction technique that faithfully represents the structure is essential for reliable visual communication and analytics. In reality, however, practitioners favor projections for other attractions, such as…

Human-Computer Interaction · Computer Science 2025-07-29 Seoyoung Doh , Hyeon Jeon , Sungbok Shin , Ghulam Jilani Quadri , Nam Wook Kim , Jinwook Seo

This paper introduces the point-axis representation for oriented object detection, emphasizing its flexibility and geometrically intuitive nature with two key components: points and axes. 1) Points delineate the spatial extent and contours…

Computer Vision and Pattern Recognition · Computer Science 2024-07-12 Zeyang Zhao , Qilong Xue , Yuhang He , Yifan Bai , Xing Wei , Yihong Gong

This paper presents a new axis-based shape representation scheme along with a matching framework to address the problem of generic shape recognition. The main idea is to define the relative spatial arrangement of local symmetry axes and…

Computer Vision and Pattern Recognition · Computer Science 2011-04-15 Cagri Aslan , Sibel Tari

A creative idea is often born from transforming, combining, and modifying ideas from existing visual examples capturing various concepts. However, one cannot simply copy the concept as a whole, and inspiration is achieved by examining…

Computer Vision and Pattern Recognition · Computer Science 2023-06-01 Yael Vinker , Andrey Voynov , Daniel Cohen-Or , Ariel Shamir

Projections, or dimensionality reduction methods, are techniques of choice for the visual exploration of high-dimensional data. Many such techniques exist, each one of them having a distinct visual signature - i.e., a recognizable way to…

Human-Computer Interaction · Computer Science 2026-02-25 Alister Machado , Alexandru Telea , Michael Behrisch

Text documents are complex high dimensional objects. To effectively visualize such data it is important to reduce its dimensionality and visualize the low dimensional embedding as a 2-D or 3-D scatter plot. In this paper we explore…

Computation and Language · Computer Science 2010-03-03 Yi Mao , Krishnakumar Balasubramanian , Guy Lebanon

Interactive visualization of embedding projections is a useful technique for understanding data and evaluating machine learning models. Labeling data within these visualizations is critical for interpretation, as labels provide an overview…

Human-Computer Interaction · Computer Science 2025-05-20 Donghao Ren , Fred Hohman , Dominik Moritz

Mappings to structured output spaces (strings, trees, partitions, etc.) are typically learned using extensions of classification algorithms to simple graphical structures (eg., linear chains) in which search and parameter estimation can be…

Machine Learning · Computer Science 2009-07-07 Hal Daumé , Daniel Marcu

With the increasing availability of high-dimensional data, analysts often rely on exploratory data analysis to understand complex data sets. A key approach to exploring such data is dimensionality reduction, which embeds high-dimensional…

Machine Learning · Computer Science 2024-12-17 Pavlin G. Poličar , Blaž Zupan

Embeddings are a basic initial feature extraction step in many machine learning models, particularly in natural language processing. An embedding attempts to map data tokens to a low-dimensional space where similar tokens are mapped to…

Machine Learning · Computer Science 2025-04-10 Golara Ahmadi Azar , Melika Emami , Alyson Fletcher , Sundeep Rangan

How to extract useful insights from data is always a challenge, especially if the data is multidimensional. Often, the data can be organized according to certain hierarchical structure that are stemmed either from data collection process or…

Applications · Statistics 2016-04-21 Kun Yang , Wing Hung Wong

Composite visualization is a popular design strategy that represents complex datasets by integrating multiple visualizations in a meaningful and aesthetic layout, such as juxtaposition, overlay, and nesting. With this strategy, numerous…

Human-Computer Interaction · Computer Science 2022-11-04 Dazhen Deng , Weiwei Cui , Xiyu Meng , Mengye Xu , Yu Liao , Haidong Zhang , Yingcai Wu

In real-world, many problems can be formulated as the alignment between two geometric patterns. Previously, a great amount of research focus on the alignment of 2D or 3D patterns, especially in the field of computer vision. Recently, the…

Machine Learning · Computer Science 2018-11-20 Hu Ding , Mingquan Ye

Non-linear dimensionality reduction (NDR) methods such as LLE and t-SNE are popular with visualization researchers and experienced data analysts, but present serious problems of interpretation. In this paper, we present DimReader, a…

Human-Computer Interaction · Computer Science 2019-07-08 Rebecca Faust , David Glickenstein , Carlos Scheidegger

Projection and ranking are frequently used analysis techniques in multi-attribute data exploration. Both families of techniques help analysts with tasks such as identifying similarities between observations and determining ordered…

Databases · Computer Science 2022-08-03 Qiangqiang Liu , Yukun Ren , Zhihua Zhu , Dai Li , Xiaojuan Ma , Quan Li

Embeddings of high-dimensional data are widely used to explore data, to verify analysis results, and to communicate information. Their explanation, in particular with respect to the input attributes, is often difficult. With linear projects…

Machine Learning · Computer Science 2021-08-20 Jan-Tobias Sohns , Michaela Schmitt , Fabian Jirasek , Hans Hasse , Heike Leitte

The unification of low-level perception and high-level reasoning is a long-standing problem in artificial intelligence, which has the potential to not only bring the areas of logic and learning closer together but also demonstrate how…

Artificial Intelligence · Computer Science 2019-11-27 Anton Fuxjaeger , Vaishak Belle

Complex networks are frequently employed to model physical or virtual complex systems. When certain entities exist across multiple systems simultaneously, unveiling their corresponding relationships across the networks becomes crucial. This…

Physics and Society · Physics 2025-04-16 Rui Tang , Ziyun Yong , Shuyu Jiang , Xingshu Chen , Yaofang Liu , Yi-Cheng Zhang , Gui-Quan Sun , Wei Wang