Basic Neural Network

- Sunny Chandra

©c17hawke

©c17hawke

INPUT

ARCHITECTURE OF SINGLE NEURON

w_{11}
w_{12}
\sum \rightarrow \\ z = w_{11}\times x_1 + w_{12}\times x_2 + b
act(z)
out = act(z)
input\\ x_1
input\\ x_2
bias\\ b

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AN EXAMPLE OF ACTIVATION FUNCTION

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INPUT

OUTPUT

Input layer ( buffer layer )

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INPUT

OUTPUT

THIS CAN BE AN EXAMPLE OF CLASSIFICATION NN WITH 3 DIFFERENT CLASS

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©c17hawke

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INPUT

OUTPUT

REGRESSION NN EXAMPLE

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©c17hawke

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w_{11}
w_{12}
w_{21}
w_{22}
z_1 = (w_{11} \times i_1) + (w_{12} \times i_2)
z_2 = (w_{21} \times i_1) + (w_{22} \times i_2)

©c17hawke

=

=

=

=

*

(w_{11} \times i_1) + (w_{12} \times i_2)
(w_{21} \times i_1) + (w_{22} \times i_2)

©c17hawke

=

=

=

=

*

(w_{11} \times i_1) + (w_{12} \times i_2)
(w_{21} \times i_1) + (w_{22} \times i_2)

W

©c17hawke

=

=

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*

(w_{11} \times i_1) + (w_{12} \times i_2)
(w_{21} \times i_1) + (w_{22} \times i_2)

W

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X

©c17hawke

=

=

=

=

*

(w_{11} \times i_1) + (w_{12} \times i_2)
(w_{21} \times i_1) + (w_{22} \times i_2)

W

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Z

©c17hawke

=

=

=

=

*

(w_{11} \times i_1) + (w_{12} \times i_2)
(w_{21} \times i_1) + (w_{22} \times i_2)

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act(Z)

©c17hawke

=

=

=

=

*

(w_{11} \times i_1) + (w_{12} \times i_2)
(w_{21} \times i_1) + (w_{22} \times i_2)

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Z

act(Z)

\hat{y}

©c17hawke

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act(Z)

\hat{y}

©c17hawke

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predicted val

actual val

error

ERROR CALCULATION

(\ \ \ \ \ \ \ \ \ \ )^2
(\ \ \ \ \ \ \ \ \ \ )^2

©c17hawke

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error

ERROR CALCULATION

= 3.0

= 1.0

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error

ERROR CALCULATION

= 3.0

= 1.0

1/2 error ?

1/2 error ?

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©c17hawke

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error

ERROR CALCULATION

An intuition

= 3.0

= 1.0

3/4 error !!

1/4 error !!

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©c17hawke

Basic Neural Network V2

By Sunny

Basic Neural Network V2

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