Let $W_{ij}$ represents weight between node $i$ at layer $k$ and node $j$ at layer $(k-1)$ of a given multilayer perceptron. The weight updation using gradient descent method is given by:
In gradient descent, weights are updated in the opposite direction of the gradient.
The general rule is:
$New\ Weight=Old\ Weight-\alpha\times Gradient$
Here,
$\alpha$ is the learning rate.
So,
$W_{ij}(t+1)=W_{ij}(t)-\alpha\dfrac{\partial E}{\partial W_{ij}}$
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