#dimensionality reduction
17 papers match
Measuring Distortion in the Empty Regions of Dimensionality Reduction Scatterplots with the Gap Index
Jaume Ros, Alessio Arleo, Fernando Paulovich
The paper proposes the Gap Index, a metric that measures how much empty regions in 2D dimensionality‑reduction scatterplots are distorted compared to the original high‑dimensional…
Some intuition for why cooperative systems "look 1-dimensional" and 2-cooperative systems "look 2-dimensional"
Eduardo D. Sontag
The paper offers geometric intuition for why cooperative (monotone) systems behave like one-dimensional systems and two‑cooperative systems behave like two-dimensional systems, usi…
Voronoi Histograms for Adaptive Vectorization of Expected Persistence Diagrams
Kaifeng Zhang, Kai Ming Ting
The paper introduces a Voronoi histogram method to vectorize expected persistence diagrams, providing an adaptive, partition-based representation that retains topological informati…
FADEx: Feature Attribution and Distortion-based Explanation of Dimensionality Reduction
Lucas Greff Meneses, Evandro S. Ortigossa, Claudio Silva +1
The paper introduces FADEx, a local per-instance feature attribution method that explains how individual features influence the placement of data points in any dimensionality reduc…
Orthogonality and Dimensionality in Airline Cluster Analysis using PCA and Kernel PCA
Andreas Schlapbach
The paper replicates a US airline profit-cycle clustering study, showing that k‑means clustering on principal component scores yields the same six‑cluster solution as the raw data,…
cGAP: Generalized Association Plots with HOMALS-Guided Heatmaps for Visualization of High-Dimensional Categorical Data
Chun-houh Chen, Shun-Chuan Chang, Chiun-How Kao +5
The paper presents cGAP, a visualization framework that uses HOMALS embeddings and heatmaps to display high‑dimensional categorical data while preserving the original data matrix a…