Our daily lives are filled with the concept of "probability." The probability of rain, the probability of getting sick, the probability of winning the lottery, and the probability of living our ideal ...

This paper presents an application of swarm intelligence to a hundred-year-old problem in mathematics, the Hausdorff moment problem (HMP), where one reconstructs a density function from its moments.

Probability underpins AI, cryptography and statistics. However, as the philosopher Bertrand Russell said, “Probability is the most important concept in modern science, especially as nobody has the ...

A Matlab toolbox for solving the generalized density evolution equation (GDEE) in the probability density evolution method (PDEM) by finite difference method.

Note: This video is designed to help the teacher better understand the lesson and is NOT intended to be shown to students. It includes observations and conclusions that students are meant to make on ...

Note: This video is designed to help the teacher better understand the lesson and is NOT intended to be shown to students. It includes observations and conclusions that students are meant to make on ...

A long-standing challenge in statistical mechanics has been to quantify the nonequilibrium nature of active systems such as swarming bacteria, schooling fish, and flocking birds. The entropy ...

What Is A Probability Density Function? A probability density function, also known as a bell curve, is a fundamental statistics concept, that describes the likelihood of a continuous random variable ...

ABSTRACT: This paper presents a game theory-based method for predicting the outcomes of negotiation and group decision-making problems. We propose an extension to the BDM model to address problems ...