A multi-stage data collection strategy using uniform design based sequential designs
摘要
Recent advances in artificial intelligence technology have brought increasing attention to data collection methods. When prior information is unavailable, space-filling designs offer a robust approach to initial data collection. Traditional space-filling designs distribute points uniformly across the entire design space but often fail to account for variations between subregions. To address this limitation, we propose a multi-stage data collection approach, called the uniform design based sequential design method, which iteratively adds a local uniform design for a subregion at each experimental stage. We also introduce a novel criterion for evaluating the importance of a subregion. Theoretical results and simulations validate the effectiveness of the proposed method, and an application to a high-dimensional image recognition task demonstrates its practical utility.