1. Roughness regularization for functional data analysis with free knots spline estimation
- Author
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De Magistris, Anna, De Simone, Valentina, Romano, Elvira, and Toraldo, Gerardo
- Subjects
Statistics - Methodology ,Mathematics - Numerical Analysis ,Statistics - Applications - Abstract
In the era of big data, an ever-growing volume of information is recorded, either continuously over time or sporadically, at distinct time intervals. Functional Data Analysis (FDA) stands at the cutting edge of this data revolution, offering a powerful framework for handling and extracting meaningful insights from such complex datasets. The currently proposed FDA me\-thods can often encounter challenges, especially when dealing with curves of varying shapes. This can largely be attributed to the method's strong dependence on data approximation as a key aspect of the analysis process. In this work, we propose a free knots spline estimation method for functional data with two penalty terms and demonstrate its performance by comparing the results of several clustering methods on simulated and real data., Comment: 12 pages, 8 figures
- Published
- 2024
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