exercise:7d9af7a5d4

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We assign each image the label [math]\truelabel=1[/math] if it shows an apple and [math]\truelabel=-1[/math] if it does not show an apple. We use logistic regression to learn a linear hypothesis [math]h(\featurevec) = \weights^{T} \featurevec[/math] to classify an image according to [math]\hat{\truelabel} =1[/math] if [math]h(\featurevec) \geq 0[/math]. The training set consists of [math]\samplesize=10^{10}[/math] labeled images which are stored in the cloud.

We implement the ML method on our own laptop which is connected to the internet with a bandwidth of at most [math]100[/math] Mbps. Unfortunately we can only store at most five images on our computer.

How long does it take at least to complete one single GD step ?