What is the benefit of a positive-only sigmoid function?

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In summary, the benefit of a positive only sigmoid function is that it provides non-linearity to neural networks and allows for a range of 0 to 1 for activation. It is commonly used in neural network design and can be adjusted to provide different levels of smoothness. It is also commonly used in modeling work and is based on the equation 1.0 / (1.0 + e^(-x)). However, there may be some limitations in its ability to pull down on wrong input.
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ADDA said:
What is the benefit of a positive only sigmoid function? or why is it 'most often' used?

NOTES:
return value monotonically increasing most often from 0 to 1 or alternatively from −1 to 1, depending on convention; source: https://en.wikipedia.org/wiki/Sigmoid_function
Can you give more context to your question? Why are you asking this in the Computing forum? Is it for some modeling work you are doing? More information would make it much easier to try to answer your questions.
 
  • #3
Is this for a neural net node?

Having the activation function of each node to range from 0 (no activation) to 1 (full activation) is a common convention in neural net design.

Here are some common activation functions:

https://en.wikipedia.org/wiki/Activation_function

The sigmoid activation function provides some non-linearity to the neural net to simulate biological systems better.
 
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jedishrfu, you are correct. The equation, 1.0 / (1.0 + e^(-x)), comes from this video:

When I implemented a network, however, the output always converged to the error vector. Perhaps, I was wrong, I no longer have the code.

My question comes from the idea that the network has to pull down on wrong input. How can a node pull down with a positive only activation function?
 
  • #5
take a look at this function with only positive x values. y for x=0 equals 0
 

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you can slide it more to the right by increasing the nb 2 at the end of the equation but past 7 the curve is not smooth enough
 

FAQ: What is the benefit of a positive-only sigmoid function?

1. What is a positive-only sigmoid function?

A positive-only sigmoid function is a mathematical function that maps a range of inputs to a range of outputs between 0 and 1. This function is commonly used in statistics and machine learning to model relationships between variables and make predictions.

2. How is a positive-only sigmoid function different from a regular sigmoid function?

A regular sigmoid function can map inputs to outputs between -1 and 1, while a positive-only sigmoid function only maps inputs to outputs between 0 and 1. This means that a positive-only sigmoid function can only produce positive values, while a regular sigmoid function can produce both positive and negative values.

3. What are the applications of a positive-only sigmoid function?

A positive-only sigmoid function is commonly used in logistic regression, a statistical method used for binary classification tasks. It is also used in artificial neural networks to model the activation function of a neuron. Additionally, it can be used in other machine learning algorithms to map probabilities or to transform data to a more linear relationship.

4. How is the shape of a positive-only sigmoid function determined?

The shape of a positive-only sigmoid function is determined by its parameters, such as the slope and the midpoint. These parameters can be adjusted to change the steepness and position of the curve, resulting in different shapes of the function.

5. What are the advantages of using a positive-only sigmoid function?

One advantage of using a positive-only sigmoid function is that it can prevent negative values from being produced, which can be more interpretable in certain applications. It also has a well-defined range between 0 and 1, making it useful for mapping probabilities. Additionally, a positive-only sigmoid function can be easily differentiated and is commonly used in optimization algorithms for machine learning.

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