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Kryptonite-N: Machine Learning Strikes Back

2024-12-29 · Albus Li, Nathan Bailey, Will Sumerfield, Kira Kim

Quinn et al propose challenge datasets in their work called `Kryptonite-N". These datasets aim to counter the universal function approximation argument of machine learning, breaking the notation that machine learning can `approximate any continuous function" \cite{original_paper}. Our work refutes this claim and shows that universal function approximations can be applied successfully; the Kryptonite datasets are constructed predictably, allowing logistic regression with sufficient polynomial expansion and L1 regularization to solve for any dimension N.

📄 PDF Abstract BibTeX arXiv:2412.20588

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L1 Regularization $L_{1}$ Regularization is a regularization technique applied to the weights of a neural network. We minimize a loss function compromising both the primary loss function and a…
Logistic Regression Logistic Regression, despite its name, is a linear model for classification rather than regression. Logistic regression is also known in the literature as logit regression,…

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