English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

Computing Wasserstein barycenters is a fundamental geometric problem withwidespread applications in machine learning, statistics, and computer graphics.However, it is unknown whether Wasserstein barycenters can be computed inpolynomial time, either exactly or to high precision (i.e., with$\textrm{polylog}(1/\varepsilon)$ runtime dependence). This paper answers thesequestions in the affirmative for any fixed dimension. Our approach is to solvean exponential-size linear programming formulation by efficiently implementingthe corresponding separation oracle using techniques from computationalgeometry.

Wasserstein barycenters can be computed in polynomial time in fixed dimension