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Activation Function Analysis | Neural Networks

Activation Function Analysis

A sophisticated visualization of neural network activation functions and their performance characteristics

Experiment Controls

Training Parameters

0.0010
2 Layers

Dataset Configuration

Activation Functions

ReLU

Rectified Linear Unit

f(x)=max(0,x)

Prevents vanishing gradient for positive inputs. Computationally efficient but can suffer from "dying neurons".

Sigmoid

Logistic Function

f(x)=1/(1+e⁻ˣ)

Outputs between 0 and 1. Useful for probability outputs but suffers from vanishing gradients.

Tanh

Hyperbolic Tangent

f(x)=tanh(x)

Zero-centered output between -1 and 1. Better than sigmoid for hidden layers but still has gradient issues.

Linear

Identity Function

f(x)=x

No transformation applied. Used as a baseline comparison and for output layers in regression.

Function Performance

Epoch: 0

Linear

MSE: 0.000000
Gradient: 0.0000

ReLU

MSE: 0.000000
Gradient: 0.0000

Sigmoid

MSE: 0.000000
Gradient: 0.0000

Tanh

MSE: 0.000000
Gradient: 0.0000

Gradient Analysis

Average gradient magnitude in the first hidden layer

Linear
ReLU
Sigmoid
Tanh

Technical Details

This visualization demonstrates how different activation functions perform when training neural networks on various datasets. The interface allows you to:

  • Compare ReLU, Sigmoid, Tanh, and Linear activation functions
  • Adjust network depth and learning rate parameters
  • Visualize gradient flow and vanishing gradient problems
  • Test performance on different dataset complexities

Observe how ReLU maintains strong gradients while Sigmoid and Tanh suffer from vanishing gradients, especially in deeper networks.

Neural Network Activation Function Visualization | Advanced Deep Learning Concepts