AAAI 2026

January 23, 2026

Singapore, Singapore

Would you like to see your presentation here, made available to a global audience of researchers?
Add your own presentation or have us affordably record your next conference.

Leveraging the Wasserstein distance—a summation of sample-wise transport distances in data space—is advantageous in many applications for measuring support differences between two underlying density functions. However, when supports significantly overlap while densities exhibit substantial pointwise differences, it remains unclear whether and how this transport information can accurately identify these differences, particularly their analytical characterization in finite-sample settings. We address this issue by conducting an analysis of the information processing capabilities of the one-dimensional Wasserstein distance with finite samples. By utilizing the Poisson process and isolating the rate factor, we demonstrate the capability of capturing the pointwise density difference with Wasserstein distances and how this information harmonizes with support differences. The analyzed properties are confirmed using neural spike train decoding and amino acid contact frequency data. The results reveal that the one-dimensional Wasserstein distance highlights meaningful density differences related to both rate and support.

Downloads

SlidesPaperTranscript English (automatic)

Next from AAAI 2026

AutoSchA: Automatic Hierarchical Music Representations via Multi-Relational Node Isolation
poster

AutoSchA: Automatic Hierarchical Music Representations via Multi-Relational Node Isolation

AAAI 2026

+3
Yue Jiang and 5 other authors

23 January 2026

Stay up to date with the latest Underline news!

Select topic of interest (you can select more than one)

PRESENTATIONS

  • All Presentations
  • For Librarians
  • Resource Center
  • Free Trial
Underline Science, Inc.
1216 Broadway, 2nd Floor, New York, NY 10001, USA

© 2025 Underline - All rights reserved