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Trajectory data represent a trace of an object that changes its position in space over time. This kind of data is complex to handle and analyze, since it is generally produced in huge quantities, often prone to errors generated by the…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-08-31 Salman Haidri , Yaksh J. Haranwala , Vania Bogorny , Chiara Renso , Vinicius Prado da Fonseca , Amilcar Soares

Decision trees are flexible prediction models which are constructed to quantify outcome-covariate relationships and characterize relevant population subgroups. However, the standard graphical representation of fitted decision trees…

Applications · Statistics 2021-03-09 Ashwini Venkatasubramaniam , Julian Wolfson

Graph clustering aims at discovering a natural grouping of the nodes such that similar nodes are assigned to a common cluster. Many different algorithms have been proposed in the literature: for simple graphs, for graphs with attributes…

Machine Learning · Computer Science 2023-11-06 Ylli Sadikaj , Yllka Velaj , Sahar Behzadi , Claudia Plant

Lattices and their order diagrams are an essential tool for communicating knowledge and insights about data. This is in particular true when applying Formal Concept Analysis. Such representations, however, are difficult to comprehend by…

Artificial Intelligence · Computer Science 2023-12-29 Johannes Hirth , Viktoria Horn , Gerd Stumme , Tom Hanika

`Categorification' is the process of replacing equations by isomorphisms. We describe some of the ways a thoroughgoing emphasis on categorification can simplify and unify mathematics. We begin with elementary arithmetic, where the category…

Quantum Algebra · Mathematics 2007-05-23 John C. Baez , James Dolan

Diagrams as a graphic expresion of derivatives is proposed for calculation of derivatives for composed function. The concret diagram is understood as a virtual derivative in contrast of concret derivative. In polynomial expression of…

General Mathematics · Mathematics 2011-04-13 Gintaras Valiukevicius

The availability of both structured and unstructured databases, such as electronic health data, social media data, patent data, and surveys that are often updated in real time, among others, has grown rapidly over the past decade. With this…

Databases · Computer Science 2023-07-26 Rebecca C. Steorts

We describe a graphical model for probabilistic relationships---an alternative to the Bayesian network---called a dependency network. The graph of a dependency network, unlike a Bayesian network, is potentially cyclic. The probability…

Artificial Intelligence · Computer Science 2013-01-18 David Heckerman , David Maxwell Chickering , Christopher Meek , Robert Rounthwaite , Carl Kadie

A Topic Map is a structured network of hyperlinks that points into an information pool. Topic Maps have an existence independent of the information pool and hence different Topic Maps can form different layers above the same information…

Astrophysics · Physics 2015-06-24 A A Mahabal , S G Djorgovski , R E Williams , R Brunner

Two-dimensional data maps can visually reveal information about the relations between data instances. Popular techniques to construct data maps are t-SNE and UMAP. The resulting point-based visualizations, though, provide information only…

Information Retrieval · Computer Science 2021-10-04 Primož Godec , Nikola Ðukić , Ajda Pretnar , Vesna Tanko , Lan Žagar , Blaž Zupan

Everybody wants to analyse their data, but only few posses the data science expertise to to this. Motivated by this observation we introduce a novel framework and system \textsc{VisualSynth} for human-machine collaboration in data science.…

Artificial Intelligence · Computer Science 2020-04-24 Clément Gautrais , Yann Dauxais , Stefano Teso , Samuel Kolb , Gust Verbruggen , Luc De Raedt

Tables form a central component in both exploratory data analysis and formal reporting procedures across many industries. These tables are often complex in their conceptual structure and in the computations that generate their individual…

Computation · Statistics 2023-06-30 Gabriel Becker , Adrian Waddell

The typical problem in Data Science is creating a structure that encodes the occurrence frequency of unique elements in rows and relations between different rows of a data frame. We present the probability tree abstract data structure, an…

The advent of data-driven science in the 21st century brought about the need for well-organized structured data and associated infrastructure able to facilitate the applications of Artificial Intelligence and Machine Learning. We present an…

Databases · Computer Science 2022-03-03 Alexander Zech , Timur Bazhirov

Vector graphic documents present multiple visual elements, such as images, shapes, and texts. Choosing appropriate colors for multiple visual elements is a difficult but crucial task for both amateurs and professional designers. Instead of…

Computer Vision and Pattern Recognition · Computer Science 2022-09-23 Qianru Qiu , Xueting Wang , Mayu Otani , Yuki Iwazaki

Meta-analysis is a data aggregation method that establishes an overall and objective level of evidence based on the results of several studies. It is necessary to maintain a high level of homogeneity in the aggregation of data collected…

M-estimation is a general statistical framework that simplifies estimation. Here, we introduce delicatessen, a Python library that automates the tedious calculations of M-estimation, and supports both built-in user-specified estimating…

Methodology · Statistics 2022-10-12 Paul N Zivich , Mark Klose , Stephen R Cole , Jessie K Edwards , Bonnie E Shook-Sa

A graph is a structure composed of a set of vertices (i.e.nodes, dots) connected to one another by a set of edges (i.e.links, lines). The concept of a graph has been around since the late 19$^\text{th}$ century, however, only in recent…

Data Structures and Algorithms · Computer Science 2010-12-24 Marko A. Rodriguez , Peter Neubauer

Charts play a critical role in conveying numerical data insights through structured visual representations. However, semantic visual understanding and numerical reasoning requirements hinder the accurate description of charts, interpreting…

Computation and Language · Computer Science 2026-05-29 Yutong Qu , Wei Zhang

For an ensemble of data points in a multi-parameter space, we present a visual analytics technique to select a representative distribution of parameter values, and analyse how representative this distribution is in all ensemble members. A…

Human-Computer Interaction · Computer Science 2020-07-31 Alexander Kumpf , Josef Stumpfegger , Patrick Fabian Härtl , Rüdiger Westermann
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