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# Relu activation function

When configuring a neural network, the relu activation function used at the network’s hidden layer and its output layer is a customizable parameter of Several options.

Inspired by the neurons in the human brain that fire when particular conditions are met, artificial neural networks can be programmed to respond in kind. Layers of artificial neurons are joined together in artificial neural networks, and these relu activation function networks are powered by activation functions that can turn the neurons on and off. In the training phase, neural networks acquire specific values, just like more conventional machine learning methods.

## An Introduction to relu activation function and Neural Networks.

Like the human brain, Artificial Neural Networks are made up of different “layers,” each of which is responsible for a certain function. Each layer has a different number of neurons that, like their biological counterparts in the human body, are triggered in response to specific stimuli and cause the body to carry out an activity. This network of neurons is driven by activation functions that connect relu activation function at different layers.

It is through forward propagation that information moves from an input layer to an output layer. Can you explain what an activation function is?

The activation function is a straightforward mathematical function that maps any input to any output within a specified domain. In other words, as implied by their name, threshold switches turn on the neuron when the output reaches a certain value. They function as the neuron’s “on” and “off” switches.  To enable the network to learn intricate patterns in the input, such as those found in photos, texts, videos, and audio files, activation functions introduce a non-linearity. Our model will have the learning capacity of a linear regression without an activation function.

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## So, what exactly is ReLU?

If the input is positive, the rectified linear activation function (ReLU) will return that value directly; otherwise, it will return zero.

Most neural networks use this activation function, and it is notably popular for usage in CNNs and Multilayer Perceptrons.

For all numbers less than or equal to zero, 0.0 is returned, while positive values are returned unaltered.

We’ll put the function through its paces by plugging in some values and then plotting the outcome with a plot from the matplotlib library. You can use any number between -10 and +10 for your contribution. On these input data, we run our defined function.

## If ReLU isn’t linear, why is it so?

After a glance at a plot of ReLU, one might conclude that it is a linear function. However, it is a non-linear function that is essential for recognizing and mastering intricate connections in the training data.

When the value is positive, it functions linearly, but when the value is negative, it functions as a non-linear activation function.

Using an optimizer like SGD (Stochastic Gradient Descent) during backpropagation makes determining the gradient simpler because the function behaves like a linear one for positive values. These close-to-linear relationships allow for the preservation of attributes and facilitate the optimization of linear models using gradient-based methods.

In addition, ReLU increases the sensitivity of the weighted sum, which helps prevent neuronal saturation (i.e when there is little or no variation in the output).

Derivative For ReLU, updating the weights during error backpropagation necessitates the derivative of an activation function. If you take the ReLU function, the slope is 1 for positive numbers and 0 for negative numbers. When x is zero, it stops being differentiable, but this is usually a harmless assumption to make.

## The benefits of ReLU are:

When the network is backpropagating, the “Vanishing Gradient” stops the lower layers from gaining knowledge. Since. Sigmoid and tanh also reach saturation and lose some of their sensitivity.

## The benefits of ReLU include:

Computing is simplified because the derivative is always 1 given a positive input, speeding up the learning process and minimizing errors.

It has the property of representational sparsity, which allows it to produce an accurate zero.

Activation functions that are linear are less of a challenge to fine-tune and have a more natural feel to them. As a result, it performs best in supervised settings, where there are many labels and a lot of data.

## Consequences of ReLU:

A Gradient That Is Exploding This happens when the gradient accumulates, leading to substantial variations in the successive weight updates. It’s quite unlikely that the neuron will make a full recovery, as the gradient of 0 is also 0. This occurs when the learning rate is excessive or when there is a sizable amount of negative bias.

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CONCLUSION

This OpenGenus article will provide you with a thorough understanding relu activation function of the Rectified Linear Unit (ReLU) Activation Function.

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