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These results connect corruption-robust sparse estimation with resource accounting, pricing, and stopping in high-dimensional online allocation by developing Robust Optimistic Primal--Dual, an estimator-modular framework that combines corruption-aware confidence widths with online resource prices and a budget-safety ru...
We investigate the effectiveness of artificial intelligences (AI)-specifically large language models (LLMs)-relative to human scientists at high-level cognitive tasks in social science such as theory formulation, predictions of novel empirical results, and theory revision in response to new evidence. The research domai...
An online variant of the hard thresholding algorithm that performs the sparse estimation in an online manner is developed and embedded in a primal-dual scheme: every knapsack constraint is paired with a dual variable, which is updated by an online learning rule to keep the cumulative resource consumption within budget.
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