# p-Adic Polynomial Regression as Alternative to Neural Network for Approximating p-Adic Functions of Many Variables

arXiv: https://arxiv.org/abs/2503.23488 · HTML: https://mlsanity.com/paper/2503.23488/

## Key facts

- No citing papers in the map yet (data through 14 Oct 2026).
- First posted on arXiv 30 Mar 2025.

## Abstract (arXiv)

A method for approximating continuous functions mathbbZpnrightarrowmathbbZp by a linear superposition of continuous functions mathbbZprightarrowmathbbZp is presented and a polynomial regression model is constructed that allows approximating such functions with any degree of accuracy. A physical interpretation of such a model is given and possible methods for its training are discussed. The proposed model can be considered as a simple alternative to possible p-adic models based on neural network architecture.