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On Detecting Multiple Simultaneous Change-points in High Dimensional Non-Stationary Time Series

arXiv · AI, language, vision and robotics · article · Sep 14, 2026 · UTC

This paper studies the detection of multiple simultaneous (systematic) change points for high-dimensional nonstantionary economic and financial time series data. The analytic framework used is based on the standard and adaptive fused group lasso method, where the mixed L_{2,1} penalty is either uniform or re-weighted by data-dependent weights. This paper shows that, under appropriate conditions, this approach is L_2 consistent and, by adopting the data-dependent weights, could correctly select the change points with probability approaching unity (L_0 consis- tency). It quantifies the condition

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First collected: 2026-09-20T11:41:07.830Z. This is not the publication date.