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Good generalization performance on high-dimensional data crucially hinges on a simple structure of the ground truth and a corresponding strong inductive bias of the estimator. Even though this intuition is valid for regularized models, in this paper we caution against a strong inductive bias for interpolation in the presence of noise: Our results suggest that, while a stronger inductive bias encourages a simpler structure that is more aligned with the ground truth, it also increases the detrimental effect of noise. Specifically, for both linear regression and classification with a sparse ground truth, we prove that minimum p-norm and maximum p-margin interpolators achieve fast polynomial rates up to order 1/n for p > 1 compared to a logarithmic rate for p = 1. Finally, we provide experimental evidence that this trade-off may also play a crucial role in understanding non-linear interpolating models used in practice.

This systematic review aims to examine the research on the sports performance of amputee football players in terms of content and to critically analyze the significance of the tested parameters in order to improve the sports performance of amputee footballers. Research data was collected considering the inclusion and exclusion criteria on PubMed, Web of Science and Google Scholar. 88 articles were found in the first search on the Web of Science, Google Scholar and PubMed databases using predefined keywords. As a result of the evaluation made within the scope of inclusion and exclusion criteria, 15 research articles were included in this study. As a result, it has been determined that studies on amputee footballers do not carry out research to improve the sports performance of athletes, but mostly focus on studies examining the relationship between anthropometric characteristics and physical performance of athletes, or examining two or more existing sports performance parameters. Although it is important to obtain these findings, it is also important to design training models to improve current performance and investigate their effects rather than determining the current performance of athletes. It is recommended for researchers to develop new training models in future studies and to carry out studies to improve the sports performance of amputee athletes.

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