Is the classifier confused?












1












$begingroup$


Binary Classifier:



Assuming I have built a binary classifier and decided on an operating point. And made the classifier live on production data. This classifier returns the probability score for each of the two classes.



Is it safe to say, for production/out-of-sample instances where the classifier returns a probability score close to the operating point, the classifier is confused for those instances?



Moreover, if the I collect those instances where the classifier scores are close to the operating point.
And compare it with my training data. There could be two cases:




  1. The "confusing" instances have significantly different distribution as opposed to the training data. In which case, my classifier is not faulty. And If possible I should manually label these instances and refit the classifier.


  2. The "confusing" instances have similar distribution to my training data. In which case my classifier is at fault. What could be the implications of this case? But I believe this case would have been captured while training itself. Such instances would be very less in cardinality.



If the above mentioned thought process is correct. How can we extend this to multi-class classifier?










share|improve this question









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    1












    $begingroup$


    Binary Classifier:



    Assuming I have built a binary classifier and decided on an operating point. And made the classifier live on production data. This classifier returns the probability score for each of the two classes.



    Is it safe to say, for production/out-of-sample instances where the classifier returns a probability score close to the operating point, the classifier is confused for those instances?



    Moreover, if the I collect those instances where the classifier scores are close to the operating point.
    And compare it with my training data. There could be two cases:




    1. The "confusing" instances have significantly different distribution as opposed to the training data. In which case, my classifier is not faulty. And If possible I should manually label these instances and refit the classifier.


    2. The "confusing" instances have similar distribution to my training data. In which case my classifier is at fault. What could be the implications of this case? But I believe this case would have been captured while training itself. Such instances would be very less in cardinality.



    If the above mentioned thought process is correct. How can we extend this to multi-class classifier?










    share|improve this question









    $endgroup$




    bumped to the homepage by Community 5 mins ago


    This question has answers that may be good or bad; the system has marked it active so that they can be reviewed.


















      1












      1








      1





      $begingroup$


      Binary Classifier:



      Assuming I have built a binary classifier and decided on an operating point. And made the classifier live on production data. This classifier returns the probability score for each of the two classes.



      Is it safe to say, for production/out-of-sample instances where the classifier returns a probability score close to the operating point, the classifier is confused for those instances?



      Moreover, if the I collect those instances where the classifier scores are close to the operating point.
      And compare it with my training data. There could be two cases:




      1. The "confusing" instances have significantly different distribution as opposed to the training data. In which case, my classifier is not faulty. And If possible I should manually label these instances and refit the classifier.


      2. The "confusing" instances have similar distribution to my training data. In which case my classifier is at fault. What could be the implications of this case? But I believe this case would have been captured while training itself. Such instances would be very less in cardinality.



      If the above mentioned thought process is correct. How can we extend this to multi-class classifier?










      share|improve this question









      $endgroup$




      Binary Classifier:



      Assuming I have built a binary classifier and decided on an operating point. And made the classifier live on production data. This classifier returns the probability score for each of the two classes.



      Is it safe to say, for production/out-of-sample instances where the classifier returns a probability score close to the operating point, the classifier is confused for those instances?



      Moreover, if the I collect those instances where the classifier scores are close to the operating point.
      And compare it with my training data. There could be two cases:




      1. The "confusing" instances have significantly different distribution as opposed to the training data. In which case, my classifier is not faulty. And If possible I should manually label these instances and refit the classifier.


      2. The "confusing" instances have similar distribution to my training data. In which case my classifier is at fault. What could be the implications of this case? But I believe this case would have been captured while training itself. Such instances would be very less in cardinality.



      If the above mentioned thought process is correct. How can we extend this to multi-class classifier?







      classification multiclass-classification






      share|improve this question













      share|improve this question











      share|improve this question




      share|improve this question










      asked Dec 24 '18 at 4:32









      Karanv.10111Karanv.10111

      62




      62





      bumped to the homepage by Community 5 mins ago


      This question has answers that may be good or bad; the system has marked it active so that they can be reviewed.







      bumped to the homepage by Community 5 mins ago


      This question has answers that may be good or bad; the system has marked it active so that they can be reviewed.
























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          $begingroup$

          The more accurate term would be "uncertain", but you are correct in your line of thought.
          Your classifier (based on learned or engineered features distributions) can't determine with certainty which class to assign to this merginal cases.
          It isn't necessary a case where they have a completely different distribution, more likelely that they are part of the same distribution but are located on its tail close to the tail of the distribution of the Second class (think 2 gaussians that at some area share similar density values).



          Depending on the amount of such cases, you should examine them and attempt to trace the source of confusion. Maybe some clever preprocessing could help or different features (and maybe these are just outliers).



          In the multi class case, you would probably get similar behavior, but each time on a subset of all classes. I.E. the model is certain that the sample is one of 2-3 classes (out of 10 total classes for example) but it can't be certain from which specific class. So you will get probabilities of similar values for these classes and very small probabilities for the rest.






          share|improve this answer









          $endgroup$













          • $begingroup$
            Thanks for highlighting the overlapping tail case.
            $endgroup$
            – Karanv.10111
            Dec 24 '18 at 7:08











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          0












          $begingroup$

          The more accurate term would be "uncertain", but you are correct in your line of thought.
          Your classifier (based on learned or engineered features distributions) can't determine with certainty which class to assign to this merginal cases.
          It isn't necessary a case where they have a completely different distribution, more likelely that they are part of the same distribution but are located on its tail close to the tail of the distribution of the Second class (think 2 gaussians that at some area share similar density values).



          Depending on the amount of such cases, you should examine them and attempt to trace the source of confusion. Maybe some clever preprocessing could help or different features (and maybe these are just outliers).



          In the multi class case, you would probably get similar behavior, but each time on a subset of all classes. I.E. the model is certain that the sample is one of 2-3 classes (out of 10 total classes for example) but it can't be certain from which specific class. So you will get probabilities of similar values for these classes and very small probabilities for the rest.






          share|improve this answer









          $endgroup$













          • $begingroup$
            Thanks for highlighting the overlapping tail case.
            $endgroup$
            – Karanv.10111
            Dec 24 '18 at 7:08
















          0












          $begingroup$

          The more accurate term would be "uncertain", but you are correct in your line of thought.
          Your classifier (based on learned or engineered features distributions) can't determine with certainty which class to assign to this merginal cases.
          It isn't necessary a case where they have a completely different distribution, more likelely that they are part of the same distribution but are located on its tail close to the tail of the distribution of the Second class (think 2 gaussians that at some area share similar density values).



          Depending on the amount of such cases, you should examine them and attempt to trace the source of confusion. Maybe some clever preprocessing could help or different features (and maybe these are just outliers).



          In the multi class case, you would probably get similar behavior, but each time on a subset of all classes. I.E. the model is certain that the sample is one of 2-3 classes (out of 10 total classes for example) but it can't be certain from which specific class. So you will get probabilities of similar values for these classes and very small probabilities for the rest.






          share|improve this answer









          $endgroup$













          • $begingroup$
            Thanks for highlighting the overlapping tail case.
            $endgroup$
            – Karanv.10111
            Dec 24 '18 at 7:08














          0












          0








          0





          $begingroup$

          The more accurate term would be "uncertain", but you are correct in your line of thought.
          Your classifier (based on learned or engineered features distributions) can't determine with certainty which class to assign to this merginal cases.
          It isn't necessary a case where they have a completely different distribution, more likelely that they are part of the same distribution but are located on its tail close to the tail of the distribution of the Second class (think 2 gaussians that at some area share similar density values).



          Depending on the amount of such cases, you should examine them and attempt to trace the source of confusion. Maybe some clever preprocessing could help or different features (and maybe these are just outliers).



          In the multi class case, you would probably get similar behavior, but each time on a subset of all classes. I.E. the model is certain that the sample is one of 2-3 classes (out of 10 total classes for example) but it can't be certain from which specific class. So you will get probabilities of similar values for these classes and very small probabilities for the rest.






          share|improve this answer









          $endgroup$



          The more accurate term would be "uncertain", but you are correct in your line of thought.
          Your classifier (based on learned or engineered features distributions) can't determine with certainty which class to assign to this merginal cases.
          It isn't necessary a case where they have a completely different distribution, more likelely that they are part of the same distribution but are located on its tail close to the tail of the distribution of the Second class (think 2 gaussians that at some area share similar density values).



          Depending on the amount of such cases, you should examine them and attempt to trace the source of confusion. Maybe some clever preprocessing could help or different features (and maybe these are just outliers).



          In the multi class case, you would probably get similar behavior, but each time on a subset of all classes. I.E. the model is certain that the sample is one of 2-3 classes (out of 10 total classes for example) but it can't be certain from which specific class. So you will get probabilities of similar values for these classes and very small probabilities for the rest.







          share|improve this answer












          share|improve this answer



          share|improve this answer










          answered Dec 24 '18 at 6:40









          Mark.FMark.F

          629118




          629118












          • $begingroup$
            Thanks for highlighting the overlapping tail case.
            $endgroup$
            – Karanv.10111
            Dec 24 '18 at 7:08


















          • $begingroup$
            Thanks for highlighting the overlapping tail case.
            $endgroup$
            – Karanv.10111
            Dec 24 '18 at 7:08
















          $begingroup$
          Thanks for highlighting the overlapping tail case.
          $endgroup$
          – Karanv.10111
          Dec 24 '18 at 7:08




          $begingroup$
          Thanks for highlighting the overlapping tail case.
          $endgroup$
          – Karanv.10111
          Dec 24 '18 at 7:08


















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