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Choosing k value in KNN classifier?


Backpropagation: how do you compute the gradient of the final output with respect to any loss function?scikit-learn classifier reset in loopSci-kit learn function to select threshold for higher recall than precisionInterpreting 1vs1 support vectors in an SVMStacking when the the target variable is categorical?How can I do classification with categorical data which is not fixed?Why does Bagging or Boosting algorithm give better accuracy than basic Algorithms in small datasets?When does decision tree perform better than the neural network?Problem about tuning hyper-parametresHow to use a one-hot encoded nominal feature in a classifier in Scikit Learn?













1












$begingroup$


I'm working on classification problem and decided to use KNN classifier for the problem.



so if k=131 gave me auc of 0.689 and k=71 gave me auc of 0.682 what should be my ideal k?



Does choosing higher k means more usage of computational resource? if that's the case can I go with k=71. (or) should I always use K with maximum score no matter what?










share|improve this question









$endgroup$











  • $begingroup$
    So, are you calculating auc using cross-validation?
    $endgroup$
    – pythinker
    Apr 8 at 19:16










  • $begingroup$
    @pythinker yes..
    $endgroup$
    – user214
    Apr 8 at 19:26















1












$begingroup$


I'm working on classification problem and decided to use KNN classifier for the problem.



so if k=131 gave me auc of 0.689 and k=71 gave me auc of 0.682 what should be my ideal k?



Does choosing higher k means more usage of computational resource? if that's the case can I go with k=71. (or) should I always use K with maximum score no matter what?










share|improve this question









$endgroup$











  • $begingroup$
    So, are you calculating auc using cross-validation?
    $endgroup$
    – pythinker
    Apr 8 at 19:16










  • $begingroup$
    @pythinker yes..
    $endgroup$
    – user214
    Apr 8 at 19:26













1












1








1





$begingroup$


I'm working on classification problem and decided to use KNN classifier for the problem.



so if k=131 gave me auc of 0.689 and k=71 gave me auc of 0.682 what should be my ideal k?



Does choosing higher k means more usage of computational resource? if that's the case can I go with k=71. (or) should I always use K with maximum score no matter what?










share|improve this question









$endgroup$




I'm working on classification problem and decided to use KNN classifier for the problem.



so if k=131 gave me auc of 0.689 and k=71 gave me auc of 0.682 what should be my ideal k?



Does choosing higher k means more usage of computational resource? if that's the case can I go with k=71. (or) should I always use K with maximum score no matter what?







machine-learning k-nn






share|improve this question













share|improve this question











share|improve this question




share|improve this question










asked Apr 8 at 18:36









user214user214

22818




22818











  • $begingroup$
    So, are you calculating auc using cross-validation?
    $endgroup$
    – pythinker
    Apr 8 at 19:16










  • $begingroup$
    @pythinker yes..
    $endgroup$
    – user214
    Apr 8 at 19:26
















  • $begingroup$
    So, are you calculating auc using cross-validation?
    $endgroup$
    – pythinker
    Apr 8 at 19:16










  • $begingroup$
    @pythinker yes..
    $endgroup$
    – user214
    Apr 8 at 19:26















$begingroup$
So, are you calculating auc using cross-validation?
$endgroup$
– pythinker
Apr 8 at 19:16




$begingroup$
So, are you calculating auc using cross-validation?
$endgroup$
– pythinker
Apr 8 at 19:16












$begingroup$
@pythinker yes..
$endgroup$
– user214
Apr 8 at 19:26




$begingroup$
@pythinker yes..
$endgroup$
– user214
Apr 8 at 19:26










2 Answers
2






active

oldest

votes


















1












$begingroup$

Because knn is a non-parametric method, computational costs of choosing k, highly depends on the size of training data. If the size of training data is small, you can freely choose the k for which the best auc for validation dataset is achieved. In the case where you have a large training dataset, choosing large k can lead to huge computational complexity which is reflected in slow prediction for test data.






share|improve this answer









$endgroup$












  • $begingroup$
    does 100k rows and 8000 features qualify as big training data? Also choosing high k values means we are underfitting how can I know that i'm not underfitting when choosing high k values?
    $endgroup$
    – user214
    Apr 8 at 19:44







  • 1




    $begingroup$
    Yes, that’s actually a big training dataset. To ensure that you are not underfitting or overfitting, you should check the performance of your model on the training and validation dataset, simultaneously. If it training score is low, you are underfitting. If training score is much higher than validation score, you are overfitting. The best case is when training and validation scores are close enough.
    $endgroup$
    – pythinker
    Apr 8 at 20:02



















2












$begingroup$

I was taught the best way is to find the error for each k then plot them and look for the "elbow" on the plot.






share|improve this answer









$endgroup$












  • $begingroup$
    So I used go with k=131
    $endgroup$
    – user214
    Apr 8 at 18:46










  • $begingroup$
    It really depends. The higher your k the higher your chance of overfitting. So if you do every k from 2 to 200 and plot the error of all of them you use the k where the curve starts to flatten out.
    $endgroup$
    – Stephen Ewing
    Apr 8 at 18:48











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2 Answers
2






active

oldest

votes








2 Answers
2






active

oldest

votes









active

oldest

votes






active

oldest

votes









1












$begingroup$

Because knn is a non-parametric method, computational costs of choosing k, highly depends on the size of training data. If the size of training data is small, you can freely choose the k for which the best auc for validation dataset is achieved. In the case where you have a large training dataset, choosing large k can lead to huge computational complexity which is reflected in slow prediction for test data.






share|improve this answer









$endgroup$












  • $begingroup$
    does 100k rows and 8000 features qualify as big training data? Also choosing high k values means we are underfitting how can I know that i'm not underfitting when choosing high k values?
    $endgroup$
    – user214
    Apr 8 at 19:44







  • 1




    $begingroup$
    Yes, that’s actually a big training dataset. To ensure that you are not underfitting or overfitting, you should check the performance of your model on the training and validation dataset, simultaneously. If it training score is low, you are underfitting. If training score is much higher than validation score, you are overfitting. The best case is when training and validation scores are close enough.
    $endgroup$
    – pythinker
    Apr 8 at 20:02
















1












$begingroup$

Because knn is a non-parametric method, computational costs of choosing k, highly depends on the size of training data. If the size of training data is small, you can freely choose the k for which the best auc for validation dataset is achieved. In the case where you have a large training dataset, choosing large k can lead to huge computational complexity which is reflected in slow prediction for test data.






share|improve this answer









$endgroup$












  • $begingroup$
    does 100k rows and 8000 features qualify as big training data? Also choosing high k values means we are underfitting how can I know that i'm not underfitting when choosing high k values?
    $endgroup$
    – user214
    Apr 8 at 19:44







  • 1




    $begingroup$
    Yes, that’s actually a big training dataset. To ensure that you are not underfitting or overfitting, you should check the performance of your model on the training and validation dataset, simultaneously. If it training score is low, you are underfitting. If training score is much higher than validation score, you are overfitting. The best case is when training and validation scores are close enough.
    $endgroup$
    – pythinker
    Apr 8 at 20:02














1












1








1





$begingroup$

Because knn is a non-parametric method, computational costs of choosing k, highly depends on the size of training data. If the size of training data is small, you can freely choose the k for which the best auc for validation dataset is achieved. In the case where you have a large training dataset, choosing large k can lead to huge computational complexity which is reflected in slow prediction for test data.






share|improve this answer









$endgroup$



Because knn is a non-parametric method, computational costs of choosing k, highly depends on the size of training data. If the size of training data is small, you can freely choose the k for which the best auc for validation dataset is achieved. In the case where you have a large training dataset, choosing large k can lead to huge computational complexity which is reflected in slow prediction for test data.







share|improve this answer












share|improve this answer



share|improve this answer










answered Apr 8 at 19:39









pythinkerpythinker

8641314




8641314











  • $begingroup$
    does 100k rows and 8000 features qualify as big training data? Also choosing high k values means we are underfitting how can I know that i'm not underfitting when choosing high k values?
    $endgroup$
    – user214
    Apr 8 at 19:44







  • 1




    $begingroup$
    Yes, that’s actually a big training dataset. To ensure that you are not underfitting or overfitting, you should check the performance of your model on the training and validation dataset, simultaneously. If it training score is low, you are underfitting. If training score is much higher than validation score, you are overfitting. The best case is when training and validation scores are close enough.
    $endgroup$
    – pythinker
    Apr 8 at 20:02

















  • $begingroup$
    does 100k rows and 8000 features qualify as big training data? Also choosing high k values means we are underfitting how can I know that i'm not underfitting when choosing high k values?
    $endgroup$
    – user214
    Apr 8 at 19:44







  • 1




    $begingroup$
    Yes, that’s actually a big training dataset. To ensure that you are not underfitting or overfitting, you should check the performance of your model on the training and validation dataset, simultaneously. If it training score is low, you are underfitting. If training score is much higher than validation score, you are overfitting. The best case is when training and validation scores are close enough.
    $endgroup$
    – pythinker
    Apr 8 at 20:02
















$begingroup$
does 100k rows and 8000 features qualify as big training data? Also choosing high k values means we are underfitting how can I know that i'm not underfitting when choosing high k values?
$endgroup$
– user214
Apr 8 at 19:44





$begingroup$
does 100k rows and 8000 features qualify as big training data? Also choosing high k values means we are underfitting how can I know that i'm not underfitting when choosing high k values?
$endgroup$
– user214
Apr 8 at 19:44





1




1




$begingroup$
Yes, that’s actually a big training dataset. To ensure that you are not underfitting or overfitting, you should check the performance of your model on the training and validation dataset, simultaneously. If it training score is low, you are underfitting. If training score is much higher than validation score, you are overfitting. The best case is when training and validation scores are close enough.
$endgroup$
– pythinker
Apr 8 at 20:02





$begingroup$
Yes, that’s actually a big training dataset. To ensure that you are not underfitting or overfitting, you should check the performance of your model on the training and validation dataset, simultaneously. If it training score is low, you are underfitting. If training score is much higher than validation score, you are overfitting. The best case is when training and validation scores are close enough.
$endgroup$
– pythinker
Apr 8 at 20:02












2












$begingroup$

I was taught the best way is to find the error for each k then plot them and look for the "elbow" on the plot.






share|improve this answer









$endgroup$












  • $begingroup$
    So I used go with k=131
    $endgroup$
    – user214
    Apr 8 at 18:46










  • $begingroup$
    It really depends. The higher your k the higher your chance of overfitting. So if you do every k from 2 to 200 and plot the error of all of them you use the k where the curve starts to flatten out.
    $endgroup$
    – Stephen Ewing
    Apr 8 at 18:48















2












$begingroup$

I was taught the best way is to find the error for each k then plot them and look for the "elbow" on the plot.






share|improve this answer









$endgroup$












  • $begingroup$
    So I used go with k=131
    $endgroup$
    – user214
    Apr 8 at 18:46










  • $begingroup$
    It really depends. The higher your k the higher your chance of overfitting. So if you do every k from 2 to 200 and plot the error of all of them you use the k where the curve starts to flatten out.
    $endgroup$
    – Stephen Ewing
    Apr 8 at 18:48













2












2








2





$begingroup$

I was taught the best way is to find the error for each k then plot them and look for the "elbow" on the plot.






share|improve this answer









$endgroup$



I was taught the best way is to find the error for each k then plot them and look for the "elbow" on the plot.







share|improve this answer












share|improve this answer



share|improve this answer










answered Apr 8 at 18:40









Stephen EwingStephen Ewing

212




212











  • $begingroup$
    So I used go with k=131
    $endgroup$
    – user214
    Apr 8 at 18:46










  • $begingroup$
    It really depends. The higher your k the higher your chance of overfitting. So if you do every k from 2 to 200 and plot the error of all of them you use the k where the curve starts to flatten out.
    $endgroup$
    – Stephen Ewing
    Apr 8 at 18:48
















  • $begingroup$
    So I used go with k=131
    $endgroup$
    – user214
    Apr 8 at 18:46










  • $begingroup$
    It really depends. The higher your k the higher your chance of overfitting. So if you do every k from 2 to 200 and plot the error of all of them you use the k where the curve starts to flatten out.
    $endgroup$
    – Stephen Ewing
    Apr 8 at 18:48















$begingroup$
So I used go with k=131
$endgroup$
– user214
Apr 8 at 18:46




$begingroup$
So I used go with k=131
$endgroup$
– user214
Apr 8 at 18:46












$begingroup$
It really depends. The higher your k the higher your chance of overfitting. So if you do every k from 2 to 200 and plot the error of all of them you use the k where the curve starts to flatten out.
$endgroup$
– Stephen Ewing
Apr 8 at 18:48




$begingroup$
It really depends. The higher your k the higher your chance of overfitting. So if you do every k from 2 to 200 and plot the error of all of them you use the k where the curve starts to flatten out.
$endgroup$
– Stephen Ewing
Apr 8 at 18:48

















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