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What Is The Hyperbolic Tangent Activation ANN Function?

What Is The Hyperbolic Tangent Activation ANN Function?

What is a hyperbolic Tangent function? How can we use Hyperbolic Tangent Function in C++? Let’s answer these questions.

What does an activation function mean in AI?

Activation Function ( phi() ) also called as transfer function, or threshold function that determines the activation value ( a = phi(sum) ) from a given value (sum) from the Net Input Function . Net Input Function, here the sum is a sum of signals in their weights, and activation function is a new value of this sum with a given function or conditions. In another term. The activation function is a way to transfer the sum of all weighted signals to a new activation value of that signal. There are different activation functions, mostly Linear (Identity), bipolar and logistic (sigmoid) functions are used. The activation function and its types are explained well here.

In C++ you can create your activation function. Note that “sum” is the result of Net Input Function which calculates the sum of all weighted signals. We will use some of those as a result of the input function. Here the activation value of an artificial neuron (output value) can be written by the activation function as below,

By using this sum Net Input Function Value and phi() activation functions, let’s see some of activation functions in C++.

What is a Hyperbolic Tangent Function or tanh()?

The hyperbolic tangent is a trigonometric function tanh() as below,

Hyperbolic functions occur in the calculations of angles and distances in hyperbolic geometry, and results in range between -1 to 1. They also occur in the solutions of many linear differential equations, cubic equations, and Laplace’s equation in Cartesian coordinates. Laplace’s equations are important in many areas of physics, including electromagnetic theory, heat transfer, fluid dynamics, and special relativity. Hyperbolic function has the unique solution to the differential equation f ′ = 1 − f2, with f (0) = 0.

In addition to all these, Hyperbolic Tangent Function can be also used as a activation function as a as below,

Let’s use his in a simple ANN example.

Is there a simple ANN C++ Example of the Hyperbolic Tangent function?

Here is a simple ANN example with Hyperbolic Tangent Function in C++ programming language


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About author

33+ years of coding with more than 30+ programming languages, mostly C++ on Windows, Android, Mac-OS, iOS, Linux and some other operating systems. Dr. Yilmaz Yoru was born in 1974, Eskisehir-Turkey. He graduated from the department of Mechanical Engineering of Eskisehir Osmangazi University in 1997. One year later he started to work in the same university as an assistant. He received his MSc and PhD degrees from the same department of the same university. He has married and he is a father of a son. Some of his interests are Programming, Thermodynamics, Fluid Mechanics and Artificial Intelligence. He also likes the graphical 2D & 3D design and high-end innovations.
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