Towards Data Science By Nikhil Dasari

The Sigmoid Function: From 'e' to Neural Networks

Read the original on Towards Data Science →

The article titled "The Sigmoid Function: From 'e' to Neural Networks" explores the origins and applications of the sigmoid function, a mathematical equation frequently used in data science and machine learning. It traces the function’s development from its foundational exponential form to its modern role in neural network architectures. The piece highlights how this simple yet powerful equation underpins many computational models in the field.

Machine-generated by The Flow from the publisher's headline and feed description — not written or checked by a human. The full article lives at Towards Data Science.

arXiv AI
Jul 9

Understanding Two-Layer Neural Networks with Smooth Activation Functions

arXiv:2507. 14177v2 Announce Type: replace-cross Abstract: This paper aims to understand the training solution, which is obtained by the back-propagation algorithm, of two-layer neural networks whose hidden layer is composed of the units with smooth activation functions, including the usual sigmoid type most commonly used before the advent of ReLUs.

By Changcun Huang
arXiv Machine Learning
Sep 11

Diversity of EML-type operators

The article "Diversity of EML-type operators" discusses the EML operator, which can evaluate standard explicit purely transcendental elementary functions, and notes that while most research has focused on the binary EML, many similar variants exist. It enumerates and classifies these variants, clarifies common misconceptions, and proposes a M"obius layer that replaces matrix operations with rational functions. The paper also showcases the activation function eml(x,1/x), enabling separate recovery of exp(x) and ln(x) and thus evaluation of all elementary functions within a rational neural‑network generalization.

By Andrzej Odrzywo{\l}ek