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Neural Network Foundations

Loss Computation

Loss computation compares the network's output with the target and produces the error signal used for training.

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Loss Computation

Definition

Loss computation measures how wrong the network's output is.

It compares:

network output
target output

and returns a loss value.

Loss computation evaluates the result of the forward pass.


Where It Happens

Loss computation happens after the forward pass.

input -> network -> output -> loss

The network first produces an output.

Then the loss function measures how far that output is from what was expected.

Loss is computed after the model produces an output.


Simple Example

Suppose the target is 10.

The network outputs 7.

target: 10
output: 7
error: 3

A loss function turns this mismatch into a training signal.

Different loss functions measure mismatch in different ways.

Loss turns output mismatch into a number.


Loss Connects Network Structure to Optimization

The network computes output using its parameters.

The loss depends on that output.

So the loss indirectly depends on the parameters.

parameters -> output -> loss

Training changes parameters so future loss becomes smaller.

Loss connects current network behavior to parameter updates.


Loss Is Not the Output

The output is what the network predicts.

The loss is a measurement of the output.

output:
model result

loss:
error measurement

They are related, but they are not the same thing.

The model produces output; the loss function judges it.


Final Summary

  • Loss computation measures output error.
  • It compares network output with the target.
  • It happens after the forward pass.
  • Loss depends on output, which depends on parameters.
  • Loss gives optimization a value to reduce.
  • Output and loss are related but different.

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Continue the series.

Neural Network as Function Composition