We want to learn an unknown monotone conjunction c with n variables. For that, we draw i.i.d. m assignments that are correctly labelled as 0 (false) or 1 (true). We want to use the VC dimension to calculate the sample size for PAC-learnability. (a) Prove that the VC dimension of the hypothesis class formed by monotone conjunctions with n variables is at least n. You need to prove that there is a set of n assignments that can be shattered with monotone conjunctions,
We want to learn an unknown monotone conjunction c with n variables. For that, we draw i.i.d. m assignments that are correctly labelled as 0 (false) or 1 (true). We want to use the VC dimension to calculate the sample size for PAC-learnability. (a) Prove that the VC dimension of the hypothesis class formed by monotone conjunctions with n variables is at least n. You need to prove that there is a set of n assignments that can be shattered with monotone conjunctions,
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![We want to learn an unknown monotone conjunction c with n variables. For that, we draw i.i.d. m assignments that are
correctly labelled as 0 (false) or 1 (true). We want to use the VC dimension to calculate the sample size for PAC-learnability.
(a) Prove that the VC dimension of the hypothesis class formed by monotone conjunctions with n variables is at least n.
You need to prove that there is a set of n assignments that can be shattered with monotone conjunctions,](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F602caea4-3d4d-49a2-a5cf-03841bb038cc%2F3abb3fc0-1a49-436f-8100-aee0c895ff39%2F4r2s1ey_processed.png&w=3840&q=75)
Transcribed Image Text:We want to learn an unknown monotone conjunction c with n variables. For that, we draw i.i.d. m assignments that are
correctly labelled as 0 (false) or 1 (true). We want to use the VC dimension to calculate the sample size for PAC-learnability.
(a) Prove that the VC dimension of the hypothesis class formed by monotone conjunctions with n variables is at least n.
You need to prove that there is a set of n assignments that can be shattered with monotone conjunctions,
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