Using PCA to reduce dimensionality of training and testing data [duplicate]












6












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This question already has an answer here:




  • PCA and the train/test split

    3 answers




I've read so many contradicting opinions that I feel like I need to ask the question myself.



Say I use PCA on a dataset with 60 variables and find that I can explain 98% of variance with 6 principal components and I get a decent model predicting what I want.



Now I get some new data (testing), this data should then be translated to the same "PCA space" in order for my model to interpret it right? So I would scale it using the same scaling used on my training data and then use the loading scores from the original PCA to translate my new data to "PCA space"?



The reason I'm asking is that I've seen tons of people doing PCA before doing test/train splits so their testing data is already "transformed", this seems like a mistake to me? Shouldn't the PCA be used on the training data exclusively and then using the loadings from that PCA translate the testing data to the same dimensionality?










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marked as duplicate by amoeba, mkt, kjetil b halvorsen, Michael Chernick, Juho Kokkala Jan 24 at 7:10


This question has been asked before and already has an answer. If those answers do not fully address your question, please ask a new question.














  • 5




    $begingroup$
    I think you are rightfully concerned about the later approach. For test data, it is best practice to simply pretend it doesn't exist during model build and only use it at the very end.
    $endgroup$
    – bi_scholar
    Jan 23 at 13:38






  • 3




    $begingroup$
    @bi_scholar that's exactly my thinking, treat testing data as non-existing until the model is actually ready to be tested.
    $endgroup$
    – DasBoot
    Jan 23 at 13:42
















6












$begingroup$



This question already has an answer here:




  • PCA and the train/test split

    3 answers




I've read so many contradicting opinions that I feel like I need to ask the question myself.



Say I use PCA on a dataset with 60 variables and find that I can explain 98% of variance with 6 principal components and I get a decent model predicting what I want.



Now I get some new data (testing), this data should then be translated to the same "PCA space" in order for my model to interpret it right? So I would scale it using the same scaling used on my training data and then use the loading scores from the original PCA to translate my new data to "PCA space"?



The reason I'm asking is that I've seen tons of people doing PCA before doing test/train splits so their testing data is already "transformed", this seems like a mistake to me? Shouldn't the PCA be used on the training data exclusively and then using the loadings from that PCA translate the testing data to the same dimensionality?










share|cite|improve this question











$endgroup$



marked as duplicate by amoeba, mkt, kjetil b halvorsen, Michael Chernick, Juho Kokkala Jan 24 at 7:10


This question has been asked before and already has an answer. If those answers do not fully address your question, please ask a new question.














  • 5




    $begingroup$
    I think you are rightfully concerned about the later approach. For test data, it is best practice to simply pretend it doesn't exist during model build and only use it at the very end.
    $endgroup$
    – bi_scholar
    Jan 23 at 13:38






  • 3




    $begingroup$
    @bi_scholar that's exactly my thinking, treat testing data as non-existing until the model is actually ready to be tested.
    $endgroup$
    – DasBoot
    Jan 23 at 13:42














6












6








6


1



$begingroup$



This question already has an answer here:




  • PCA and the train/test split

    3 answers




I've read so many contradicting opinions that I feel like I need to ask the question myself.



Say I use PCA on a dataset with 60 variables and find that I can explain 98% of variance with 6 principal components and I get a decent model predicting what I want.



Now I get some new data (testing), this data should then be translated to the same "PCA space" in order for my model to interpret it right? So I would scale it using the same scaling used on my training data and then use the loading scores from the original PCA to translate my new data to "PCA space"?



The reason I'm asking is that I've seen tons of people doing PCA before doing test/train splits so their testing data is already "transformed", this seems like a mistake to me? Shouldn't the PCA be used on the training data exclusively and then using the loadings from that PCA translate the testing data to the same dimensionality?










share|cite|improve this question











$endgroup$





This question already has an answer here:




  • PCA and the train/test split

    3 answers




I've read so many contradicting opinions that I feel like I need to ask the question myself.



Say I use PCA on a dataset with 60 variables and find that I can explain 98% of variance with 6 principal components and I get a decent model predicting what I want.



Now I get some new data (testing), this data should then be translated to the same "PCA space" in order for my model to interpret it right? So I would scale it using the same scaling used on my training data and then use the loading scores from the original PCA to translate my new data to "PCA space"?



The reason I'm asking is that I've seen tons of people doing PCA before doing test/train splits so their testing data is already "transformed", this seems like a mistake to me? Shouldn't the PCA be used on the training data exclusively and then using the loadings from that PCA translate the testing data to the same dimensionality?





This question already has an answer here:




  • PCA and the train/test split

    3 answers








regression machine-learning pca dimensionality-reduction






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share|cite|improve this question













share|cite|improve this question




share|cite|improve this question








edited Jan 23 at 14:57









amoeba

59.4k15203261




59.4k15203261










asked Jan 23 at 12:36









DasBootDasBoot

3313




3313




marked as duplicate by amoeba, mkt, kjetil b halvorsen, Michael Chernick, Juho Kokkala Jan 24 at 7:10


This question has been asked before and already has an answer. If those answers do not fully address your question, please ask a new question.









marked as duplicate by amoeba, mkt, kjetil b halvorsen, Michael Chernick, Juho Kokkala Jan 24 at 7:10


This question has been asked before and already has an answer. If those answers do not fully address your question, please ask a new question.










  • 5




    $begingroup$
    I think you are rightfully concerned about the later approach. For test data, it is best practice to simply pretend it doesn't exist during model build and only use it at the very end.
    $endgroup$
    – bi_scholar
    Jan 23 at 13:38






  • 3




    $begingroup$
    @bi_scholar that's exactly my thinking, treat testing data as non-existing until the model is actually ready to be tested.
    $endgroup$
    – DasBoot
    Jan 23 at 13:42














  • 5




    $begingroup$
    I think you are rightfully concerned about the later approach. For test data, it is best practice to simply pretend it doesn't exist during model build and only use it at the very end.
    $endgroup$
    – bi_scholar
    Jan 23 at 13:38






  • 3




    $begingroup$
    @bi_scholar that's exactly my thinking, treat testing data as non-existing until the model is actually ready to be tested.
    $endgroup$
    – DasBoot
    Jan 23 at 13:42








5




5




$begingroup$
I think you are rightfully concerned about the later approach. For test data, it is best practice to simply pretend it doesn't exist during model build and only use it at the very end.
$endgroup$
– bi_scholar
Jan 23 at 13:38




$begingroup$
I think you are rightfully concerned about the later approach. For test data, it is best practice to simply pretend it doesn't exist during model build and only use it at the very end.
$endgroup$
– bi_scholar
Jan 23 at 13:38




3




3




$begingroup$
@bi_scholar that's exactly my thinking, treat testing data as non-existing until the model is actually ready to be tested.
$endgroup$
– DasBoot
Jan 23 at 13:42




$begingroup$
@bi_scholar that's exactly my thinking, treat testing data as non-existing until the model is actually ready to be tested.
$endgroup$
– DasBoot
Jan 23 at 13:42










1 Answer
1






active

oldest

votes


















4












$begingroup$

Yes this is a common way of overfitting your model to the test data. In NLP a similar mistake is to do vocabulary selection and bag-of-words vectorization on the full train/test data.



This is a bit insidious since doing model selection is a lot easier with most tools once you got your feature matrix. In addition the "boost" you get is not alarmingly big so it is tempting to just think your model is great and pat yourself on the back.



On a positive note I think this was a lot more common 5-10 ten years ago and most practitioners are wise to this error today.






share|cite|improve this answer









$endgroup$









  • 1




    $begingroup$
    +1. I voted to close this Q as a duplicate of stats.stackexchange.com/questions/55718/…, but I fully agree with this answer.
    $endgroup$
    – amoeba
    Jan 23 at 14:57










  • $begingroup$
    (If you want, you can post a version of this answer in that thread which is our "canonical" thread on this topic -- lots of questions get closed as duplicate of that one.)
    $endgroup$
    – amoeba
    Jan 23 at 14:58










  • $begingroup$
    thanks @amoeba, that link provided some great insight as well as confirming my suspicion.
    $endgroup$
    – DasBoot
    Jan 23 at 16:12


















1 Answer
1






active

oldest

votes








1 Answer
1






active

oldest

votes









active

oldest

votes






active

oldest

votes









4












$begingroup$

Yes this is a common way of overfitting your model to the test data. In NLP a similar mistake is to do vocabulary selection and bag-of-words vectorization on the full train/test data.



This is a bit insidious since doing model selection is a lot easier with most tools once you got your feature matrix. In addition the "boost" you get is not alarmingly big so it is tempting to just think your model is great and pat yourself on the back.



On a positive note I think this was a lot more common 5-10 ten years ago and most practitioners are wise to this error today.






share|cite|improve this answer









$endgroup$









  • 1




    $begingroup$
    +1. I voted to close this Q as a duplicate of stats.stackexchange.com/questions/55718/…, but I fully agree with this answer.
    $endgroup$
    – amoeba
    Jan 23 at 14:57










  • $begingroup$
    (If you want, you can post a version of this answer in that thread which is our "canonical" thread on this topic -- lots of questions get closed as duplicate of that one.)
    $endgroup$
    – amoeba
    Jan 23 at 14:58










  • $begingroup$
    thanks @amoeba, that link provided some great insight as well as confirming my suspicion.
    $endgroup$
    – DasBoot
    Jan 23 at 16:12
















4












$begingroup$

Yes this is a common way of overfitting your model to the test data. In NLP a similar mistake is to do vocabulary selection and bag-of-words vectorization on the full train/test data.



This is a bit insidious since doing model selection is a lot easier with most tools once you got your feature matrix. In addition the "boost" you get is not alarmingly big so it is tempting to just think your model is great and pat yourself on the back.



On a positive note I think this was a lot more common 5-10 ten years ago and most practitioners are wise to this error today.






share|cite|improve this answer









$endgroup$









  • 1




    $begingroup$
    +1. I voted to close this Q as a duplicate of stats.stackexchange.com/questions/55718/…, but I fully agree with this answer.
    $endgroup$
    – amoeba
    Jan 23 at 14:57










  • $begingroup$
    (If you want, you can post a version of this answer in that thread which is our "canonical" thread on this topic -- lots of questions get closed as duplicate of that one.)
    $endgroup$
    – amoeba
    Jan 23 at 14:58










  • $begingroup$
    thanks @amoeba, that link provided some great insight as well as confirming my suspicion.
    $endgroup$
    – DasBoot
    Jan 23 at 16:12














4












4








4





$begingroup$

Yes this is a common way of overfitting your model to the test data. In NLP a similar mistake is to do vocabulary selection and bag-of-words vectorization on the full train/test data.



This is a bit insidious since doing model selection is a lot easier with most tools once you got your feature matrix. In addition the "boost" you get is not alarmingly big so it is tempting to just think your model is great and pat yourself on the back.



On a positive note I think this was a lot more common 5-10 ten years ago and most practitioners are wise to this error today.






share|cite|improve this answer









$endgroup$



Yes this is a common way of overfitting your model to the test data. In NLP a similar mistake is to do vocabulary selection and bag-of-words vectorization on the full train/test data.



This is a bit insidious since doing model selection is a lot easier with most tools once you got your feature matrix. In addition the "boost" you get is not alarmingly big so it is tempting to just think your model is great and pat yourself on the back.



On a positive note I think this was a lot more common 5-10 ten years ago and most practitioners are wise to this error today.







share|cite|improve this answer












share|cite|improve this answer



share|cite|improve this answer










answered Jan 23 at 14:22









sniggatoothsniggatooth

561




561








  • 1




    $begingroup$
    +1. I voted to close this Q as a duplicate of stats.stackexchange.com/questions/55718/…, but I fully agree with this answer.
    $endgroup$
    – amoeba
    Jan 23 at 14:57










  • $begingroup$
    (If you want, you can post a version of this answer in that thread which is our "canonical" thread on this topic -- lots of questions get closed as duplicate of that one.)
    $endgroup$
    – amoeba
    Jan 23 at 14:58










  • $begingroup$
    thanks @amoeba, that link provided some great insight as well as confirming my suspicion.
    $endgroup$
    – DasBoot
    Jan 23 at 16:12














  • 1




    $begingroup$
    +1. I voted to close this Q as a duplicate of stats.stackexchange.com/questions/55718/…, but I fully agree with this answer.
    $endgroup$
    – amoeba
    Jan 23 at 14:57










  • $begingroup$
    (If you want, you can post a version of this answer in that thread which is our "canonical" thread on this topic -- lots of questions get closed as duplicate of that one.)
    $endgroup$
    – amoeba
    Jan 23 at 14:58










  • $begingroup$
    thanks @amoeba, that link provided some great insight as well as confirming my suspicion.
    $endgroup$
    – DasBoot
    Jan 23 at 16:12








1




1




$begingroup$
+1. I voted to close this Q as a duplicate of stats.stackexchange.com/questions/55718/…, but I fully agree with this answer.
$endgroup$
– amoeba
Jan 23 at 14:57




$begingroup$
+1. I voted to close this Q as a duplicate of stats.stackexchange.com/questions/55718/…, but I fully agree with this answer.
$endgroup$
– amoeba
Jan 23 at 14:57












$begingroup$
(If you want, you can post a version of this answer in that thread which is our "canonical" thread on this topic -- lots of questions get closed as duplicate of that one.)
$endgroup$
– amoeba
Jan 23 at 14:58




$begingroup$
(If you want, you can post a version of this answer in that thread which is our "canonical" thread on this topic -- lots of questions get closed as duplicate of that one.)
$endgroup$
– amoeba
Jan 23 at 14:58












$begingroup$
thanks @amoeba, that link provided some great insight as well as confirming my suspicion.
$endgroup$
– DasBoot
Jan 23 at 16:12




$begingroup$
thanks @amoeba, that link provided some great insight as well as confirming my suspicion.
$endgroup$
– DasBoot
Jan 23 at 16:12



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