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Dimensionality reduction methods are employed to decrease data dimensionality, either to enhance machine learning performance or to facilitate data visualization in two or three-dimensional spaces. These methods typically fall into two…

Machine Learning · Computer Science 2025-08-26 Berat Dogan

Though the mediums for visualization are limited, the potential dimensions of a dataset are not. In many areas of scientific study, understanding the correlations between those dimensions and their uncertainties is pivotal to mining useful…

Astrophysics · Physics 2009-02-25 Steve Haroz , Kwan-Liu Ma , Katrin Heitmann

The family of visibility algorithms were recently introduced as mappings between time series and graphs. Here we extend this method to characterize spatially extended data structures by mapping scalar fields of arbitrary dimension into…

Data Analysis, Statistics and Probability · Physics 2017-09-13 Lucas Lacasa , Jacopo Iacovacci

This system paper presents the Topology ToolKit (TTK), a software platform designed for topological data analysis in scientific visualization. TTK provides a unified, generic, efficient, and robust implementation of key algorithms for the…

Graphics · Computer Science 2019-07-18 Julien Tierny , Guillaume Favelier , Joshua A. Levine , Charles Gueunet , Michael Michaux

Data Visualization has become an important aspect of big data analytics and has grown in sophistication and variety. We specifically identify the need for an analytical framework for data visualization with textual information. Data…

Social and Information Networks · Computer Science 2020-05-19 Cherilyn Conner , Jim Samuel , Andrey Kretinin , Yana Samuel , Lee Nadeau

Over the past decades, classification models have proven to be essential machine learning tools given their potential and applicability in various domains. In these years, the north of the majority of the researchers had been to improve…

Machine Learning · Computer Science 2020-12-11 Mário Popolin Neto , Fernando V. Paulovich

Tabular data are central to biomedical research, from liquid biopsy and bulk and single-cell transcriptomics to electronic health records and phenotypic profiling. Unlike images or sequences, however, tabular datasets lack intrinsic spatial…

Machine Learning · Computer Science 2026-03-25 Sakib Mostafa , Tarik Massoud , Maximilian Diehn , Lei Xing , Md Tauhidul Islam

There is a growing need for unbiased clustering methods, ideally automated. We have developed a topology-based analysis tool called Two-Tier Mapper (TTMap) to detect subgroups in global gene expression datasets and identify their…

Genomics · Quantitative Biology 2018-01-08 Rachel Jeitziner , Mathieu Carrière , Jacques Rougemont , Steve Oudot , Kathryn Hess , Cathrin Brisken

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

Multi-omics data offer unprecedented insights into complex biological systems, yet their high dimensionality, sparsity, and intricate interactions pose significant analytical challenges. Network-based approaches have advanced multi-omics…

The ubiquity and value of tables as semi-structured data across various domains necessitate advanced methods for understanding their complexity and vast amounts of information. Despite the impressive capabilities of large language models…

Computation and Language · Computer Science 2024-11-14 Deyi Ji , Lanyun Zhu , Siqi Gao , Peng Xu , Hongtao Lu , Jieping Ye , Feng Zhao

We present a new technique for visualizing high-dimensional data called cluster MDS (cl-MDS), which addresses a common difficulty of dimensionality reduction methods: preserving both local and global structures of the original sample in a…

Graphics · Computer Science 2024-05-27 Patricia Hernández-León , Miguel A. Caro

A GraphMaps is a system that visualizes a graph using zoom levels, which is similar to a geographic map visualization. GraphMaps reveals the structural properties of the graph and enables users to explore the graph in a natural way by using…

Computational Geometry · Computer Science 2018-08-14 Debajyoti Mondal , Lev Nachmanson

Visual scenes are naturally organized in a hierarchy, where a coarse semantic is recursively comprised of several fine details. Exploring such a visual hierarchy is crucial to recognize the complex relations of visual elements, leading to a…

Computer Vision and Pattern Recognition · Computer Science 2024-04-02 Hyeongjun Kwon , Jinhyun Jang , Jin Kim , Kwonyoung Kim , Kwanghoon Sohn

A primary hypothesis that drives scientific and engineering studies is that data has structure. The dominant paradigms for describing such structure are statistics (e.g., moments, correlation functions) and signal processing (e.g.,…

Algebraic Topology · Mathematics 2020-11-11 Alexander D. Smith , Pawel Dlotko , Victor M. Zavala

Transforming dense, detailed, unstructured text into an interpretable and summarised table, also colloquially known as Text-to-Table generation, is an essential task for information retrieval. Current methods, however, miss out on how and…

Computation and Language · Computer Science 2025-05-30 Naman Ahuja , Fenil Bardoliya , Chitta Baral , Vivek Gupta

Visual representation learning has been a cornerstone in computer vision, involving typical forms such as visual embeddings, structural symbols, and text-based representations. Despite the success of CLIP-type visual embeddings, they often…

Computer Vision and Pattern Recognition · Computer Science 2024-06-18 Yiwu Zhong , Zi-Yuan Hu , Michael R. Lyu , Liwei Wang

Current applications have produced graphs on the order of hundreds of thousands of nodes and millions of edges. To take advantage of such graphs, one must be able to find patterns, outliers and communities. These tasks are better performed…

Social and Information Networks · Computer Science 2015-05-29 Jose F. Rodrigues , Hanghang Tong , Jia-Yu Pan , Agma J. M. Traina , Caetano Traina , Christos Faloutsos

Time-series table reasoning interprets temporal patterns and relationships in data to answer user queries. Despite recent advancements leveraging large language models (LLMs), existing methods often struggle with pattern recognition,…

Human-Computer Interaction · Computer Science 2024-12-24 Jianing Hao , Zhuowen Liang , Chunting Li , Yuyu Luo , Jie Li , Wei Zeng

MindMapping is a well-known technique used in note taking, which encourages learning and studying. MindMapping has been manually adopted to help present knowledge and concepts in a visual form. Unfortunately, there is no reliable automated…

Computation and Language · Computer Science 2014-12-24 Mohamed Elhoseiny , Ahmed Elgammal
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