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Dimensionality reduction is often used as an initial step in data exploration, either as preprocessing for classification or regression or for visualization. Most dimensionality reduction techniques to date are unsupervised; they do not…

Machine Learning · Statistics 2020-06-17 Jake S. Rhodes , Adele Cutler , Guy Wolf , Kevin R. Moon

The visualization of multi-dimensional data with interpretable methods remains limited by capabilities for both high-dimensional lossless visualizations that do not suffer from occlusion and that are computationally capable by parameterized…

Human-Computer Interaction · Computer Science 2025-07-25 Alice Williams , Boris Kovalerchuk

Data are often represented as graphs. Many common tasks in data science are based on distances between entities. While some data science methodologies natively take graphs as their input, there are many more that take their input in…

Machine Learning · Computer Science 2019-09-19 Leo Liberti

We propose a visualization method to understand the effect of multidimensional projection on local subspaces, using implicit function differentiation. Here, we understand the local subspace as the multidimensional local neighborhood of data…

Machine Learning · Computer Science 2023-07-21 Rongzheng Bian , Yumeng Xue , Liang Zhou , Jian Zhang , Baoquan Chen , Daniel Weiskopf , Yunhai Wang

We prove several inequalities estimating the distance between volumes of two bodies in terms of the maximal or minimal difference between areas of sections or projections of these bodies. We also provide extensions in which volume is…

Metric Geometry · Mathematics 2016-08-12 Apostolos Giannopoulos , Alexander Koldobsky

In this paper we present a novel method to connect data on the visualization level. In general, visualizations are a dead end, when it comes to reusability. Yet, users prefer to work with visualizations as evidenced by WYSIWYG editors. To…

Human-Computer Interaction · Computer Science 2017-05-03 Daniel Hienert , Benjamin Zapilko , Philipp Schaer , Brigitte Mathiak

Capturing the compositional process which maps the meaning of words to that of documents is a central challenge for researchers in Natural Language Processing and Information Retrieval. We introduce a model that is able to represent the…

Computation and Language · Computer Science 2014-06-17 Misha Denil , Alban Demiraj , Nal Kalchbrenner , Phil Blunsom , Nando de Freitas

This paper introduces the concept of travel behavior embeddings, a method for re-representing discrete variables that are typically used in travel demand modeling, such as mode, trip purpose, education level, family type or occupation. This…

Econometrics · Economics 2019-09-15 Francisco C. Pereira

In the context of optimization, visualization techniques can be useful for understanding the behaviour of optimization algorithms and can even provide a means to facilitate human interaction with an optimizer. Towards this goal, an…

Neural and Evolutionary Computing · Computer Science 2020-07-27 Kyle Robert Harrison , Azam Asilian Bidgoli , Shahryar Rahnamayan , Kalyanmoy Deb

Word embeddings are rich word representations, which in combination with deep neural networks, lead to large performance gains for many NLP tasks. However, word embeddings are represented by dense, real-valued vectors and they are therefore…

Computation and Language · Computer Science 2019-12-24 Andreas Hanselowski , Iryna Gurevych

Visualization and topic modeling are widely used approaches for text analysis. Traditional visualization methods find low-dimensional representations of documents in the visualization space (typically 2D or 3D) that can be displayed using a…

Computation and Language · Computer Science 2020-10-27 Dang Pham , Tuan M. V. Le

Similarity query is the family of queries based on some similarity metrics. Unlike the traditional database queries which are mostly based on value equality, similarity queries aim to find targets "similar enough to" the given data objects,…

Databases · Computer Science 2022-04-19 Yifan Wang

The basic objective of data visualization is to provide an efficient graphical display for summarizing and reasoning about quantitative information. During the last decades, political science has accumulated a large corpus of various kinds…

Graphics · Computer Science 2010-08-09 Andrei Zinovyev

We present a new method GTSNE to visualize high-dimensional data points in the two dimensional map. The technique is a variation of t-SNE that produces better visualizations by capturing both the local neighborhood structure and the macro…

Machine Learning · Computer Science 2021-08-04 Songting Shi

For convolutional neural network models that optimize an image embedding, we propose a method to highlight the regions of images that contribute most to pairwise similarity. This work is a corollary to the visualization tools developed for…

Computer Vision and Pattern Recognition · Computer Science 2019-01-04 Abby Stylianou , Richard Souvenir , Robert Pless

Euclidean embeddings of data are fundamentally limited in their ability to capture latent semantic structures, which need not conform to Euclidean spatial assumptions. Here we consider an alternative, which embeds data as discrete…

Machine Learning · Computer Science 2019-05-10 Charlie Frogner , Farzaneh Mirzazadeh , Justin Solomon

We demonstrate the utility of a new methodological tool, neural-network word embedding models, for large-scale text analysis, revealing how these models produce richer insights into cultural associations and categories than possible with…

Computation and Language · Computer Science 2019-11-13 Austin C. Kozlowski , Matt Taddy , James A. Evans

This paper proposes a new method for vector quantization by minimizing the Kullback-Leibler Divergence between the class label distributions over the quantization inputs, which are original vectors, and the output, which is the quantization…

Computer Vision and Pattern Recognition · Computer Science 2015-02-02 Lan Yang , Jingbin Wang , Yujin Tu , Prarthana Mahapatra , Nelson Cardoso

This paper addresses the challenge of viewing and navigating Bayesian networks as their structural size and complexity grow. Starting with a review of the state of the art of visualizing Bayesian networks, an area which has largely been…

Artificial Intelligence · Computer Science 2017-07-05 Clifford Champion , Charles Elkan

Data visualization can be defined as the visual communication of information. One important barometer for the success of a visualization is whether the intents of the communicator(s) are faithfully conveyed. The processes of constructing…

Human-Computer Interaction · Computer Science 2023-09-13 Keshav Dasu , Yun-Hsin Kuo , Kwan-Liu Ma