Backprop with Bias & MSE Bar Chart - Custom Layout

x1

x2

Bias(H)
(=1)

h1

h2

Bias(O)
(=1)

ŷ

Enter Inputs and Desired Output

x1: x2: Target (y):

Math Equations (Reference)

Forward Pass: z⁽¹⁾ = W⁽¹⁾x + b⁽¹⁾ a⁽¹⁾ = sigmoid(z⁽¹⁾) z⁽²⁾ = W⁽²⁾a⁽¹⁾ + b⁽²⁾ a⁽²⁾ = sigmoid(z⁽²⁾) MSE = 1/2 (y - a⁽²⁾)²

Backward Pass: δ⁽²⁾ = (a⁽²⁾ - y) . sigmoid'(z⁽²⁾) δ⁽¹⁾ = (W⁽²⁾)ᵀ δ⁽²⁾ . sigmoid'(z⁽¹⁾) W^(l) ← W^(l) - η δ^(l) (a^(l-1))ᵀ b^(l) ← b^(l) - η δ^(l)