$p$-adic Linear Regression for Random Sampling with Digitwise Noise

TL;DR

This paper introduces a novel probabilistic $p$-adic linear regression algorithm designed for random sampling in noisy digitwise data, extending to modulo $p$ linear regression.

Contribution

It presents a new probabilistic $p$-adic regression method that handles digitwise noise, including a modulo $p$ linear regression algorithm.

Findings

Developed a probabilistic $p$-adic linear regression algorithm.

Extended the method to modulo $p$ linear regression.

Provides a new approach for sampling with digitwise noise.

Abstract

We propose a new probabilistic algorithm of $p$-adic linear regression for random sampling with digitwise noise. This includes a new probabilistic algorithm of modulo $p$ linear regression.