Exponential Negation of a Probability Distribution

10/22/2020
by   Qinyuan Wu, et al.
0

Negation operation is important in intelligent information processing. Different with existing arithmetic negation, an exponential negation is presented in this paper. The new negation can be seen as a kind of geometry negation. Some basic properties of the proposed negation is investigated, we find that the fix point is the uniform probability distribution.The negation is an entropy increase operation and all the probability distributions will converge to the uniform distribution after multiple negation iterations. The number of iterations of convergence is inversely proportional to the number of elements in the distribution. Some numerical examples are used to illustrate the efficiency of the proposed negation.

READ FULL TEXT
POST COMMENT

Comments

There are no comments yet.

Authors

page 1

page 2

page 3

page 4

03/27/2021

Generating Negations of Probability Distributions

Recently it was introduced a negation of a probability distribution. The...
01/10/2022

An examination of the spillage distribution

We examine a family of discrete probability distributions that describes...
08/29/2020

Modeling of Daily Precipitation Amounts Using the Mixed Gamma Weibull Distribution

By recognizing that the main difficulty of the modeling of daily precipi...
05/31/2019

The cut metric for probability distributions

Guided by the theory of graph limits, we investigate a variant of the cu...
12/08/2021

Information fractal dimension of mass function

Fractal plays an important role in nonlinear science. The most important...
05/04/2020

Setting up experimental Bell test with reinforcement learning

Finding optical setups producing measurement results with a targeted pro...
10/29/2018

Novel Near-Optimal Scalar Quantizers with Exponential Decay Rate and Global Convergence

Many modern distributed real-time signal sensing/monitoring systems requ...
This week in AI

Get the week's most popular data science and artificial intelligence research sent straight to your inbox every Saturday.