%0 Generic %1 boue2019numbers %A Boué, Laurent %D 2019 %K data fitting parameter %T Real numbers, data science and chaos: How to fit any dataset with a single parameter %U http://arxiv.org/abs/1904.12320 %X We show how any dataset of any modality (time-series, images, sound...) can be approximated by a well-behaved (continuous, differentiable...) scalar function with a single real-valued parameter. Building upon elementary concepts from chaos theory, we adopt a pedagogical approach demonstrating how to adjust this parameter in order to achieve arbitrary precision fit to all samples of the data. Targeting an audience of data scientists with a taste for the curious and unusual, the results presented here expand on previous similar observations regarding expressiveness power and generalization of machine learning models.

@misc{boue2019numbers, abstract = {We show how any dataset of any modality (time-series, images, sound...) can be approximated by a well-behaved (continuous, differentiable...) scalar function with a single real-valued parameter. Building upon elementary concepts from chaos theory, we adopt a pedagogical approach demonstrating how to adjust this parameter in order to achieve arbitrary precision fit to all samples of the data. Targeting an audience of data scientists with a taste for the curious and unusual, the results presented here expand on previous similar observations regarding expressiveness power and generalization of machine learning models.}, added-at = {2019-06-13T13:39:02.000+0200}, author = {Boué, Laurent}, biburl = {https://www.bibsonomy.org/bibtex/2482aee6da09445227c0675c3b2b78790/felix.gif}, description = {Real numbers, data science and chaos: How to fit any dataset with a single parameter}, interhash = {5ee3b3b3976b293f2b88651b6824fb85}, intrahash = {482aee6da09445227c0675c3b2b78790}, keywords = {data fitting parameter}, note = {cite arxiv:1904.12320}, timestamp = {2019-06-13T13:39:02.000+0200}, title = {Real numbers, data science and chaos: How to fit any dataset with a single parameter}, url = {http://arxiv.org/abs/1904.12320}, year = 2019 }