This paper introduces a new statistical method called Locally Adaptive Regression Splines for estimating non-parametric regression functions in datasets with spatio-temporal dependencies. The research extends existing methods to both univariate and multivariate settings, proposing an ADMM algorithm for practical computation. The study demonstrates the minimax optimality of the proposed estimators and identifies a novel phase transition phenomenon unique to this type of spline analysis. Both simulations and real-world applications show that this new method outperforms established techniques. AI
IMPACT Introduces a novel statistical method that could enhance AI models dealing with complex spatio-temporal data.
RANK_REASON The item is an academic paper published on arXiv detailing a new statistical methodology. [lever_c_demoted from research: ic=1 ai=0.7]
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