arXiv Statistics ML By Jorge Marco Blanco, Rub\'en Cuevas Rum\'in

A Mechanistic Interpretation of Prescribed-Parameter Convolutional Kernels

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The paper investigates why prescribed‑parameter convolutional kernels, such as those used in ROCKET and its variants, perform well on time‑series classification. It analyzes the proportion of positive values (PPV) pooling operator, proving exact invariance to circular translations and quantifying deviations under finite boundaries. Experiments on the UCR collection show that increasing kernel count yields diminishing returns, while longer kernels raise effective dimensionality and distance correlation, with optimal test performance at intermediate lengths.

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