Backpropagation Solution Needed
Бюджет $30-250 USD
- Freelancer
- Работа
- Алгоритмы
- Backpropagation Solution Needed
Please list the forward pass and backwards pass calculations for the backpropagation problem attached.
example calcs:
Forward Pass: needed
sigy = 1.0 / (1 + exp(-y)) #(1)
num = x + sigy # numerator #(2)
sigx = 1.0 / (1 + exp(-x)) #(3)
xpy = x + y #(4)
xpysqr = xpy**2 #(5)
den = sigx + xpysqr # denominator #(6)
invden = 1.0 / den #(7)
f = num * invden #(8)
Backward Pass:
# gradient at the top
df = 1.0
# backprop f = num * invden
dnum = 1.0 * invden # gradient on numerator #(8)
dinvden = 1.0 * num #(8)
# backprop invden = 1.0 / den
dden = (-1.0 / (den**2)) * dinvden #(7)
# backprop den = sigx + xpysqr
dsigx = (1) * dden #(6)
dxpysqr = (1) * dden #(6)
# backprop xpysqr = xpy**2
dxpy = (2 * xpy) * dxpysqr #(5)
# backprop xpy = x + y
dx = (1) * dxpy #(4)
dy = (1) * dxpy #(4)
# backprop sigx = 1.0 / (1 + exp(-x))
dx += ((1 - sigx) * sigx) * dsigx # ATTENTION !!
# backprop num = x + sigy
dx += (1) * dnum #(2)
dsigy = (1) * dnum #(2)
# backprop sigy = 1.0 / (1 + exp(-y))
dy += ((1 - sigy) * sigy) * dsigy #(1)
reference:
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