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A guided tour helps to visualise high-dimensional data by showing low-dimensional projections along a projection pursuit optimisation path. Projection pursuit is a generalisation of principal component analysis, in the sense that different…

统计计算 · 统计学 2024-01-11 H. Sherry Zhang , Dianne Cook , Ursula Laa , Nicolas Langrené , Patricia Menéndez

Many data problems contain some reference or normal conditions, upon which to compare newly collected data. This scenario occurs in data collected as part of clinical trials to detect adverse events, or for measuring climate change against…

统计方法学 · 统计学 2025-02-05 Annalisa Calvi , Ursula Laa , Dianne Cook

Multivariate data is often visualized using linear projections, produced by techniques such as principal component analysis, linear discriminant analysis, and projection pursuit. A problem with projections is that they obscure low and high…

统计计算 · 统计学 2022-03-28 Ursula Laa , Dianne Cook , Andreas Buja , German Valencia

Methods for Projection Pursuit aim to facilitate the visual exploration of high-dimensional data by identifying interesting low-dimensional projections. A major challenge is the design of a suitable quality metric of projections, commonly…

机器学习 · 计算机科学 2015-11-30 Tijl De Bie , Jefrey Lijffijt , Raul Santos-Rodriguez , Bo Kang

In this paper, we propose a new algorithm for exploratory projection pursuit. The basis of the algorithm is the insight that previous approaches used fairly narrow definitions of interestingness / non interestingness. We argue that allowing…

统计方法学 · 统计学 2011-12-20 Mohit Dayal

A powerful data transformation method named guided projections is proposed creating new possibilities to reveal the group structure of high-dimensional data in the presence of noise variables. Utilising projections onto a space spanned by a…

统计方法学 · 统计学 2017-02-23 Thomas Ortner , Peter Filzmoser , Maia Zaharieva , Christian Breiteneder , Sarka Brodinova

Visualization of extremely large datasets in static or dynamic form is a huge challenge because most traditional methods cannot deal with big data problems. A new visualization method for big data is proposed based on Projection Pursuit,…

统计方法学 · 统计学 2023-12-12 Yajie Duan , Javier Cabrera , Birol Emir

Taking projections of high-dimensional data is a common analytical and visualisation technique in statistics for working with high-dimensional problems. Sectioning, or slicing, through high dimensions is less common, but can be useful for…

统计计算 · 统计学 2021-03-17 Ursula Laa , Dianne Cook , German Valencia

This paper develops projection pursuit for discrete data using the discrete Radon transform. Discrete projection pursuit is presented as an exploratory method for finding informative low dimensional views of data such as binary vectors,…

统计理论 · 数学 2008-12-18 Persi Diaconis , Julia Salzman

Projection Pursuit is a classic exploratory technique for finding interesting projections of a dataset. We propose a method for recovering projections containing either Imbalanced Clusters or a Bernoulli-Rademacher distribution using a…

机器学习 · 计算机科学 2025-07-01 Martin Eppert , Satyaki Mukherjee , Debarghya Ghoshdastidar

This paper presents enhancements to the projection pursuit tree classifier and visual diagnostic methods for assessing their impact in high dimensions. The original algorithm uses linear combinations of variables in a tree structure where…

机器学习 · 统计学 2026-03-16 Natalia da Silva , Dianne Cook , Eun-Kyung Lee

In independent component analysis it is assumed that the observed random variables are linear combinations of latent, mutually independent random variables called the independent components. Our model further assumes that only the…

统计理论 · 数学 2016-12-19 Joni Virta , Klaus Nordhausen , Hannu Oja

This paper studies the subspace clustering problem in which data points collected from high-dimensional ambient space lie in a union of linear subspaces. Subspace clustering becomes challenging when the dimension of intersection between…

机器学习 · 计算机科学 2021-08-17 Weiwei Li , Mostafa Rahmani , Ping Li

In most practical applications of image retrieval, high-dimensional feature vectors are required, but current multi-dimensional indexing structures lose their efficiency with growth of dimensions. Our goal is to propose a divisive…

信息检索 · 计算机科学 2015-03-13 Najva Izadpanah

The projection pursuit (PP) guided tour optimizes a criterion function, known as the PP index, to gradually reveal projections of interest from high-dimensional data through animation. Optimization of some PP indexes can be non-trivial, if…

统计计算 · 统计学 2026-01-06 H. Sherry Zhang , Dianne Cook , Nicolas Langrené , Jessica Wai Yin Leung

We develop projection pursuit for data that admit a natural representation in matrix form. For projection indices, we propose extensions of the classical kurtosis and Mardia's multivariate kurtosis. The first index estimates projections for…

统计理论 · 数学 2021-09-10 Una Radojicic , Klaus Nordhausen , Joni Virta

An explorative data analysis system should be aware of what the user already knows and what the user wants to know of the data: otherwise the system cannot provide the user with the most informative and useful views of the data. We propose…

机器学习 · 统计学 2019-01-01 Kai Puolamäki , Emilia Oikarinen , Buse Atli , Andreas Henelius

We consider the general dimensionality reduction problem of locating in a high-dimensional data cloud, a $k$-dimensional non-Gaussian subspace of interesting features. We use a projection pursuit approach -- we search for mutually…

机器学习 · 计算机科学 2023-02-27 Satyaki Mukherjee , Soumendu Sundar Mukherjee , Debarghya Ghoshdastidar

Random projection is often used to project higher-dimensional vectors onto a lower-dimensional space, while approximately preserving their pairwise distances. It has emerged as a powerful tool in various data processing tasks and has…

机器学习 · 计算机科学 2020-06-30 Wenye Li , Shuzhong Zhang

Matching pursuits are a class of greedy algorithms commonly used in signal processing, for solving the sparse approximation problem. They rely on an atom selection step that requires the calculation of numerous projections, which can be…

数据结构与算法 · 计算机科学 2012-04-06 Manuel Moussallam , Laurent Daudet , Gaël Richard
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