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utkarsh-mittal-era-v6-part1's Introduction

Utkarsh-Mittal-ERA-V6-Part1

Utkarsh ERA V6 Part1 Backpropogation

Screen shot of the File image

Major Steps

Input Layer

  • Nodes: i1, i2
  • Description: The input layer is where the network receives its input data. There are two input nodes in this network.

Weights between Input and Hidden Layer

  • Weights: w1, w2, w3, w4
  • Description: Each connection between the input and hidden layer nodes has an associated weight. These weights adjust the input values as they are passed to the next layer.

Hidden Layer

  • Nodes: h1, h2
  • Description: The hidden layer processes the inputs received from the input layer. It combines the weighted inputs and applies a nonlinear sigmoid activation function. The diagram connections (a_h1, a_h2).

Weights between Hidden and Output Layer

  • Weights: w5, w6, w7, w8
  • Description: These weights modulate the signals being passed to the output layer from the hidden layer.

Output Layer

  • Nodes: o1, o2
  • Description: The output layer receives the processed signals from the hidden layer and generates the output of the network. Each output node represents a specific output value.

Activation at Output

  • Activations: a_o1, a_o2
  • Description: These denote the activation functions applied at the output nodes, determining the final output of each node.

Error Calculation

  • Errors: E1, E2
  • Description: The network calculates the error for each output node by comparing the actual output with the target output. Error formula suggests L2 Loss

Total Error

  • Node: E_Total
  • Description: The total error of the network is calculated by summing the errors from all output nodes. This value is crucial during the training process.

Training

The network is trained using a backpropagation algorithm to adjust the weights based on the calculated error. The goal is to minimize E_Total by iteratively updating the weights to improve the model's predictions.

Learning Rate - 0.1

Loss function reduces linearly image

Learning Rate - 0.2

Loss function reduces more steeply

image

Learning Rate - 0.5

Loss function reduces more steeply compared to 0.2

image

Learning Rate - 0.8

Loss function reduces more steeply compared to 0.5

image

Learning Rate - 1

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Learning Rate - 2

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