北京雁栖湖应用数学研究院 北京雁栖湖应用数学研究院

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关于我们
院长致辞
理事会
协作机构
参观来访
人员
管理层
科研人员
博士后
来访学者
行政团队
学术支持
学术研究
研究团队
公开课
讨论班
招生招聘
教研人员
博士后
学生
会议
学术会议
工作坊
论坛
学院生活
住宿
交通
配套设施
周边旅游
新闻
新闻动态
通知公告
资料下载
清华大学 "求真书院"
清华大学丘成桐数学科学中心
清华三亚国际数学论坛
上海数学与交叉学科研究院
BIMSA > BIMSA Lecture Generative Models based on Optimal Transport and their Application to Weather Map Super-Resolution
Generative Models based on Optimal Transport and their Application to Weather Map Super-Resolution
组织者
刘熠
演讲者
Milena Gazdieva
时间
2025年05月28日 17:00 至 18:00
地点
Online
线上
Zoom 204 323 0165 (BIMSA)
摘要
Generative models based on Optimal Transport (OT) have attracted significant interest from the ML community in recent years due to their solid mathematical foundations, scalability, and applicability to unpaired data. Despite these advantages, methods relying on the classical OT formulation are sensitive to outliers and class imbalance in the given measures, and can not be used to perform the translation which maximally preserve the features of the input samples which limits their applicability in real-world tasks. These limitations can be addressed by considering the unbalanced and partial OT formulations, and developing models based on them. In this talk, I will provide an overview of my recent papers which propose these types of generative models, provide theoretical justifications of their performance and show their advantages over classical OT counterparts in a number of synthetic and high-dimensional experiments. Additionally, I will show the results of application of these models to real-world weather map super-resolution problem.
演讲者介绍
My research interests lie in the field of generative models rooted in the optimal transport theory. More specifically, I am building generative models on the unconventional formulations of the OT problem, i.e, partial and unbalanced OT formulations.
北京雁栖湖应用数学研究院
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