Provably convergent algorithm for free-support Wasserstein barycenter of continuous non-parametric measures

• المؤلف الرئيسي: Chen, Zeyi
• مؤلفون آخرون: Ariel Neufeld
• التنسيق: Final Year Project
• اللغة: English
• منشور في: Nanyang Technological University 2024
• الموضوعات: Mathematical Sciences; Probability; Optimization; Optimal transport
• الوصول للمادة أونلاين: https://hdl.handle.net/10356/175550
• المؤسسة: Nanyang Technological University

We propose a provably convergent algorithm for approximating the Wasserstein barycenter of continuous and non-parametric probability measures. Our algorithm is inspired by the fixed-point scheme of Alvarez-Esteban, Del Barrio, Cuesta-Albertos, and Matran (2016), which begins with an initial referenc...