method

Machine Learning

Machine learning is a computational method that analyzes data to identify patterns and make predictions or decisions.
65 related articles · 2 formulas · 6 who worked here

Description

Machine learning is a branch of artificial intelligence where algorithms build models from data, revealing hidden patterns without explicit rule programming. Techniques include supervised learning (from labeled examples), unsupervised learning (clustering), and reinforcement learning (trial and error).

History

The term 'machine learning' was coined by Arthur Samuel in 1959 when he created a checkers-playing program. In 1957, Frank Rosenblatt built the perceptron, the first artificial neuron model. After a period of 'AI winter,' development resumed in the 1980s with the discovery of the backpropagation algorithm. In the 2010s, explosive growth came thanks to big data, GPUs, and deep architectures.

How it works

A parameterized model (e.g., a neural network or linear regression) is chosen. During training, the loss between predictions and true values is minimized using numerical optimization. The most common is stochastic gradient descent: at each step, parameters are updated in the direction of the negative gradient of the loss function on a random subset of data. For multi-layer networks, gradients are computed using the backpropagation algorithm, based on the chain rule of differentiation. Key issues: overfitting, vanishing gradient, hyperparameter selection.

In practice

Used for movie recommendations, speech recognition, and even diagnosing diseases from images.

Fun fact

The first neural network algorithm, the perceptron, was created back in 1958, but it didn’t live up to expectations at the time, and only decades later did neural networks experience a revival.

Concept graph →

Formulas

$$\text{MSE} = \frac{1}{n}\sum_{i=1}^{n}(y_i - \hat{y}_i)^2$$
Measures the average squared difference between predicted and actual values.
What is in the formula
MSEvariableMean squared error — mean squared error
nvariableNumber of observations — sample size
y_ivariableActual value for observation i — actual value
\hat{y}_ivariablePredicted value for observation i — predicted value
\sum_{i=1}^{n}operatorSum over all observations from 1 to n — summation
re=\frac{1}{d}\sum_{j=1}^{d}(x_{ij}-\hat{x}_{ij})^2 · 2607.17728v1
$$\text{MAE} = \frac{1}{n}\sum_{i=1}^n |y_i - \hat{y}_i|$$
Average absolute difference between predicted and true values.
What is in the formula
MAEvariableMean absolute error — mean absolute error same as dependent variable
nvariableNumber of observations — sample size
y_ivariableTrue value for observation i — true value same as dependent variable
\hat{y}_ivariablePredicted value for observation i — predicted value same as dependent variable
\sum_{i=1}^noperatorSum over all observations from 1 to n — summation
|\cdot|operatorTakes the absolute value of the difference — absolute value
{mae}=\frac{1}{n}\sum_{i=1}^n|y_i-\hat{y}_i| · 2607.06736

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