Weighted sum: Difference between revisions

963 bytes removed ,  22 February 2023
no edit summary
No edit summary
No edit summary
Line 1: Line 1:
{{see also|Machine learning terms}}
{{see also|Machine learning terms}}
===Introduction==
==Introduction==
In machine learning, a weighted sum is an algorithmic mathematical operation used to combine multiple input values by assigning weights to each. It's fundamental in many machine learning algorithms such as linear regression, neural networks and decision trees; this transformation transforms input data into one single output value which can then be used for prediction or classification purposes.
In [[machine learning]], a [[weighted sum]] is an [[algorithm]]ic mathematical operation used to combine multiple [[input]] values by assigning [[weights]] to each. It's fundamental in many machine learning algorithms such as [[linear regression]], [[neural network]]s and [[decision tree]]s; this transformation transforms input data into one single [[output]] value which can then be used for prediction, [[classification]] or passed into a [[activation function]].


==Definition of Weighted Sum==
==Definition of Weighted Sum==
Line 11: Line 11:


==How Weighted Sum is Used in Machine Learning==
==How Weighted Sum is Used in Machine Learning==
Machine learning utilizes the weighted sum operation to transform input data into a single output value that can be used for prediction or classification. The weights assigned to each input value are learned during the training phase of a machine learning algorithm and adjusted accordingly, helping reduce error between predicted output and actual output.
Machine learning utilizes the weighted sum operation to transform input data into a single output value that can be used for prediction or classification. The weights assigned to each input value are learned during the [[training]] phase of a machine learning algorithm and adjusted accordingly, helping reduce [[error]] between predicted output and actual output.


The weighted sum operation is used in many machine learning algorithms, such as linear regression, neural networks, and decision trees. In linear regression, the weighted sum helps calculate a predicted output value that follows a linear function of input values. In neural networks, it serves as input to an activation function which produces each neuron's output. Finally, decision trees use weighted sums to estimate probability of certain outcomes given certain input values.
The weighted sum operation is used in many machine learning algorithms, such as linear regression, neural networks, and decision trees. In linear regression, the weighted sum helps calculate a predicted output value that follows a linear function of input values. In neural networks, it serves as input to an activation function that produces each neuron's output. Finally, decision trees use weighted sums to estimate probability of certain outcomes given certain input values.


==Advantages of Weighted Sum==
==Advantages of Weighted Sum==
Weighted sum operations have several advantages in machine learning. One major benefit is that they enable input values to be combined in a flexible manner by assigning different weights to each input value. This enables the machine learning algorithm to learn complex relationships between input values and their outputs.
Weighted sum operations have several advantages in machine learning. One major benefit is that they enable input values to be combined in a flexible manner by assigning different weights to each input value. This enables the machine learning algorithm to learn complex relationships between input values and their outputs.


Another advantage of the weighted sum operation is its simplicity and efficiency in computation, even for large datasets. As such, it has become a go-to choice in many machine learning algorithms.
Another advantage of the weighted sum operation is its simplicity and efficiency in computation, even for large [[dataset]]s. As such, it has become a go-to choice in many machine learning algorithms.


==Limitations of Weighted Sum==
==Limitations of Weighted Sum==
Line 26: Line 26:


==Explain Like I'm 5 (ELI5)==
==Explain Like I'm 5 (ELI5)==
A weighted sum is like adding up a bunch of numbers, with some more important than others. It's like when playing a game and certain items give you more points than others; the game then sums all your points to determine your performance. In machine learning, a weighted sum is employed to take all information and turn it into one number. The computer decides which pieces of information are more significant and uses them together to make predictions or decisions - helping it learn how to play games or recognize pictures better.
A weighted sum is like adding up a bunch of numbers, with some more important than others. It's like when playing a game and certain items give you more points than others; the game then sums all your points to determine your performance. In machine learning, a weighted sum is employed to take all information and turn it into one number. The computer decides which pieces of information are more significant and uses them together to make predictions or decisions.
 
==Explain Like I'm 5 (ELI5)==
Imagine you have a basket full of various fruits. You have apples, bananas and oranges. Now let's say you want to calculate how much produce there is altogether.
 
To do this, you could count each piece of fruit individually; however, that could take a while. Instead, assign each type of fruit a number that represents how much it weighs - say 1 pound for apples, 0.5 pounds for bananas and 0.75 pounds for oranges.
 
Now, to determine how many pieces of fruit you have overall, you can utilize a weighted sum method. That is, multiply each type of fruit's weight by its number of pieces and then total up all results.
 
Let's say you have 3 apples, 2 bananas and 4 oranges. To determine how much fruit overall there is in total, you would:
 
(3 x 1) + (2 x 0.5) + (4 x 0.75) = 3+1+3= 7
 
So your total fruit weight is 7 pounds! In machine learning, we employ weighted sums to calculate the overall importance of different features within a dataset.




[[Category:Terms]] [[Category:Machine learning terms]]
[[Category:Terms]] [[Category:Machine learning terms]]