Herzlichen Glückwunsch an Daniel Klötzl, Ozan Tastekin, David Hägele, Marina Evers, und Daniel Weiskopf! Auf dem IEEE Workshop on Uncertainty Visualization: Unraveling Relationships of Uncertainty, AI, and Decision-Making wurden sie für ihr Paper "Uncertainty-Aware PCA for Arbitrarily Distributed Data Modeled by Gaussian Mixture Models" mit dem Honorable Mention Long Paper Award ausgezeichnet. Der Workshop wurde in Verbindung mit der IEEE VIS 2025 abgehalten, die vom 2. bis 7. November 2025 in Wien stattfand.
Abstract:
Multidimensional data is often associated with uncertainties that are not well-described by normal distributions. In this work, we describe how such distributions can be projected to a low-dimensional space using uncertainty-aware principal component analysis (UAPCA). We propose to model multidimensional distributions using Gaussian mixture models (GMMs) and derive the projection from a general formulation that allows projecting arbitrary probability density functions. The low-dimensional projections of the densities exhibit more details about the distributions and represent them more faithfully compared to UAPCA mappings. Further, we support including user-defined weights between the different distributions, which allows for varying the importance of the multidimensional distributions. We evaluate our approach by comparing the distributions in low-dimensional space obtained by our method and UAPCA to those obtained by sample-based projections.
