Let's say there's a game where you have to draw a line between two groups of animals: cats and dogs. Some of the animals are easy to tell apart, but others are a little tricky. You want to make sure that the line you draw is in the best possible place, so you use something called a least squares support vector machine.
A least squares support vector machine is kind of like a computer program that helps you draw the line in the best possible place. You give the program a bunch of examples of cats and dogs, and it learns how to tell them apart based on things like their size and the color of their fur. The program then draws the line in the place where it does the best job of separating the two groups of animals.
The "least squares" part of the name means that the program tries to draw the line as close as possible to the animals that are on the line or very close to it. This makes it more accurate.
The "support vector" part of the name has to do with the fact that the program identifies certain animals that are especially important for drawing the line. These animals are the ones that are closest to the line (hence the "support" part of the name). The program uses these animals to make sure the line is in the best possible place.
Overall, the least squares support vector machine is a tool that helps you draw a line in the best possible place to separate different groups of things, like cats and dogs, based on characteristics like size and color.