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What is the main job of a weight in a neural network?
it tells how strongly an input should affect the neuron
what is the main job of the bias in a neuron
it adds an adjustable offset to the weighted sum
why do neural networks use activation functions
to introduce nonlinearity so the network can learn more complex patterns
which expression correctly describes the value calculated before the activation function
z=w1×1+w2×2+…+b
what is ReLu (-2)
0
What is ReLu (3)
3
The output of a sigmoid activation function is normally between
0 and 1
The output of tanh is normally between
-1 and 1
a neuron has 100 input values. if it has one weight for each input and one bias, how many trainable parameters does it have
101
a neuron has x1=1, x2=2, w1=2, w2=1, and b=-1. what is z=w1×1+w2×2+b
3
if a weight is negative, increasing that input will usually
push the neuron’s weighted sum downward
what does forward propagation do
it uses current inputs, weights, biases, and activations to produce a prediction
what is the difference between loss and cost in these lecture notes
loss is for one example; cost is an average over several examples
using L=1/2(y_hat-y)², what is the loss when y_hat=0.6 and y=1.0
0.08
what does the learning rate control during gradient descent
the size of each parameter update step
activation functions help a neural network learn nonlinear relationships (TF)
true
the bias multiples every input before the weighted sum is calculated (TF)
false
ReLU passes positive input forward unchanged (TF)
true
gradient descent updates parameters by moving in the same direction as the gradient
false
if ReLU neuron’s pre-activation z is negative, its derivative is 0 for that example. (TF)
true