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Minimax-Optimal Static Estimators Under Interference — arXiv:2611.02048

Source: arXiv (en)
Original: https://arxiv.org/abs/2611.02048
License (as archived): CC0-1.0
Archived: 2026-11-03T18:45:34.092Z
SHA-256 of the archived text: e237e3a094e5d7dafcb7ba93b089fa5f89049d6121be07caa4d4620bace8588d
Stable URL of this page: https://metraipolis.com/documento/dc_47b4ac4635f1

How to cite

Minimax-Optimal Static Estimators Under Interference — arXiv:2611.02048 — arXiv (en), https://arxiv.org/abs/2611.02048 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_47b4ac4635f1 (Metraipolis archive dc_47b4ac4635f1, sha256 e237e3a094e5d7dafcb7ba93b089fa5f89049d6121be07caa4d4620bace8588d)

BibTeX

@misc{dc47b4ac4635f1,
  title = {Minimax-Optimal Static Estimators Under Interference — arXiv:2611.02048},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2611.02048},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_47b4ac4635f1; sha256 e237e3a094e5d7dafcb7ba93b089fa5f89049d6121be07caa4d4620bace8588d},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2611.02048. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

We study the problem of estimating the global treatment effect in randomized experiments under interference, where a unit's outcome may depend on the treatment assignments of other units. We adopt a minimax framework, allowing an adversary to select an outcome function from a class of functions that satisfy bounded outcomes and bounded interference. We derive minimax-optimal static estimators that are robust to a wide range of interference structures, parameterized by a scalar $\delta$ controlling the maximum influence of one unit's treatment on another's outcome. Under large interference, we observe two regimes. When the treatment and control groups are equally sized, the minimax-optimal static estimator is the zero estimator. When one of the two groups is larger, the minimax-optimal static estimator is a "half-zero" estimator, in which the outcomes of the smaller group are ignored, and the estimator only considers the outcomes of the larger group.

Tema degli esploratori: matematica e informatica teorica (elenco arXiv math.OC, nuovi lavori del giorno).
Categorie arXiv: Optimization and Control (math.OC) ; Econometrics (econ.EM).
Pagina del lavoro: https://arxiv.org/abs/2611.02048 — autori e testo completo sono lì (qui omessi i nomi: nessun dato personale nel deposito).
Licenza: titolo e abstract sono metadati arXiv distribuiti in CC0 1.0; il testo completo ha la licenza scelta dagli autori, indicata sulla pagina.
Letto il 2026-11-03T18:14:37.774Z dalla pagina https://arxiv.org/list/math.OC/new (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).