Robust Hypothesis Testing with Abstention
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_ | 1866916579126542336 |
|---|---|
| author | Managoli, Malhar A. Sahasranand, K. R. Prabhakaran, Vinod M. |
| author_facet | Managoli, Malhar A. Sahasranand, K. R. Prabhakaran, Vinod M. |
| contents | We study the binary hypothesis testing problem where an adversary may potentially corrupt a fraction of the samples. The detector is, however, permitted to abstain from making a decision if (and only if) the adversary is present. We consider a few natural "contamination models" and characterize for them the trade-off between the error exponents of the four types of errors -- errors of deciding in favour of the incorrect hypothesis when the adversary is present and errors of abstaining or deciding in favour of the wrong hypothesis when the adversary is absent, under the two hypotheses. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_12938 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Robust Hypothesis Testing with Abstention Managoli, Malhar A. Sahasranand, K. R. Prabhakaran, Vinod M. Information Theory We study the binary hypothesis testing problem where an adversary may potentially corrupt a fraction of the samples. The detector is, however, permitted to abstain from making a decision if (and only if) the adversary is present. We consider a few natural "contamination models" and characterize for them the trade-off between the error exponents of the four types of errors -- errors of deciding in favour of the incorrect hypothesis when the adversary is present and errors of abstaining or deciding in favour of the wrong hypothesis when the adversary is absent, under the two hypotheses. |
| title | Robust Hypothesis Testing with Abstention |
| topic | Information Theory |
| url | https://arxiv.org/abs/2501.12938 |