The Main Idea
My inquiry revolves around the concept of predicting values from a dataset using JavaScript. To better illustrate my issue, I will provide an example of the desired outcome.
If you are familiar with Mathematica, you may be aware of the Predict[] function. It struck me that it would be great to have a similar feature in JavaScript. While I am not well-versed in the intricacies of Machine Learning and other technical aspects employed by Mathematica, I attempted to create my version of the Predict[] function through what I call "Affine transformation prediction".
For those who remember their school days, affine functions can be represented as f(x)=ax+b.
I understand that given two values, determining a and b is straightforward.
Implementation Approach
The current code snippet for this implementation is as follows:
function predict(array1, array2, val) {
var first = array1[0]
var second = array2[0]
var firstVal = array1[1]
var secondVal = array2[1]
var a = (firstVal - secondVal) / (first - second)
var b = secondVal - (second * a)
return val * b;
}
In this context, array1 denotes the initial value and the corresponding result.
Similarly, array2 represents another initial value pair with its respective result.
Lastly, the parameter val signifies where the predicted value should be calculated.
Demonstration
Assuming we have the function f(x)=2x+1, with known pairs 1->3 and 2->5. If we wish to predict f(3) without prior knowledge of the function, we input:
predict([1,3],[2,5],3)
This calculation should ideally yield 7.
An Improvement Request
The primary concern regarding this function lies in its complexity. It is my desire to enhance the simplicity of the process. Essentially, I seek a function structured like this:
function predict(object, val) {
...
}
In this scenario, object would resemble something similar to: { 1: 3, 2: 5, 4: 9}. A JSON object containing multiple values, aiming for precision and integration of the term "dataset". Currently, the function titled predict feels more akin to an affineTransformationFinder due to its operational mechanism.
Manipulating objects in JavaScript presents numerous advantages over arrays for various reasons that will become apparent once explored.
I trust that my perspective is clear, and your understanding aligns with mine. Should any queries arise, please feel free to inquire via comments, and I will gladly respond.