*ANSWER* q6

[Moobb]

I am confused on the answer for Q6. I can see that all choices have the same score, but I was assuming that not all of them would be valid hypothesis. I don't see how the opposite of XOR can agree with the 5 points in the dataset D. Isn't it required that the hypothesis would match those points??

[yaser]

Originally Posted by Moobb

I am confused on the answer for Q6. I can see that all choices have the same score, but I was assuming that not all of them would be valid hypothesis. I don't see how the opposite of XOR can agree with the 5 points in the dataset D. Isn't it required that the hypothesis would match those points??

You are right that in learning we try to match the training points. The message of this problem is that regardless of whether you are doing something intelligent or otherwise, there is noting that can be learned outside the training sample in a deterministic sense. To make the message crisp, the problem considers some 'crazy' training schemes in the mix.

[Elroch]

Originally Posted by Moobb

I am confused on the answer for Q6. I can see that all choices have the same score, but I was assuming that not all of them would be valid hypothesis. I don't see how the opposite of XOR can agree with the 5 points in the dataset D. Isn't it required that the hypothesis would match those points??

It is, and it can be presumed they do from the question. Given that the values of the function on D are already known, the definitions must only apply to the remaining 3 points.

[ apologies for cross-posting against the more authoritative answer above ]

[yaser]

Originally Posted by Elroch

apologies for cross-posting against the more authoritative answer above

Thank you and all other participants who take the time to answer questions and make the discussion lively. Different points of view are always welcome. Just look at my signature.

[Moobb]

Thank you! Must say that both answer 'features' were fundamental in order I could properly 'classify' the origin of my confusion about the question!

[henry2015]

I just want to check my understanding at a different angle.

Is it true that the score is 1 x 3 + 3 x 2 + 3 x 1 + 1 x 0 for all?

And what idea behind this question is trying to pass to the students? Just trying not to miss the most important point in this question.

Thanks!

[yaser]

Correct.

The idea is that, outside the training set, no "learning" is possible if we take a deterministic view. This is a formal version of the puzzle given at the end of Lecture 1.