Consistency of tug-of-war type operators on random data clouds
Fuente:
arXiv
Guardado en:
| Autores principales: | , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2025
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866913958971047936 |
|---|---|
| author | Han, Jeongmin Liu, Huajie |
| author_facet | Han, Jeongmin Liu, Huajie |
| contents | In this paper, we study a tug-of-war type operator on geometric graphs and its associated Dirichlet problem on a random data cloud.
Specifically, we analyze the convergence of the value functions as the number of data points increases and the step size of the game shrinks. This analysis reveals the connection between our tug-of-war type operator and the corresponding model problem.
A key ingredient in establishing this result is the consistency of the operator. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_18383 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Consistency of tug-of-war type operators on random data clouds Han, Jeongmin Liu, Huajie Analysis of PDEs Probability In this paper, we study a tug-of-war type operator on geometric graphs and its associated Dirichlet problem on a random data cloud. Specifically, we analyze the convergence of the value functions as the number of data points increases and the step size of the game shrinks. This analysis reveals the connection between our tug-of-war type operator and the corresponding model problem. A key ingredient in establishing this result is the consistency of the operator. |
| title | Consistency of tug-of-war type operators on random data clouds |
| topic | Analysis of PDEs Probability |
| url | https://arxiv.org/abs/2507.18383 |