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Analysis of Top1 accuracy and top5 accuracy examples
2022-07-06 07:59:00 【The story has turned several pages】
top1-Accuracy,top5-Accuracy Example analysis
Symbol definition :
TP(True Positive): The number of positive samples labeled and classified
FN(False Negative): The number of samples with positive labels and negative labels
FP(False Positive): The number of samples with negative labels and positive labels
TN(True Negative): The number of negative samples labeled and classified
A c c u r a c y = T P + F N T P + F N + F P + T N Accuracy =\dfrac{TP+FN}{TP+FN+FP+TN} Accuracy=TP+FN+FP+TNTP+FN
T o p − 1 A c c u r a c y = ∑ i = 0 N − 1 ( f ( x i ) = = y i ) N Top-1 Accuracy = \dfrac{\sum^{N-1}_{i=0}(f(x_i)==y_i)}{N} Top−1Accuracy=N∑i=0N−1(f(xi)==yi), among x i x_i xi The categories of are y i y_i yi, The category is N, f f f For the prediction category function .
Practical significance : For a picture , After the network prediction category , If the maximum probability value contains the correct answer , That is to say, it is believed that .T o p − 5 A c c u r a c y Top-5 Accuracy Top−5Accuracy
Supplementary examples :
Let a dataset have 10 Categories : Dog 、 cat 、 chicken 、 cattle 、 fish 、 rabbit 、 rat 、 Horse 、 bird 、 Dragonfly .
Use the trained model to predict what kind of animals in a picture belong to , There is a picture of a dog , If predicted : Dog (98%)、 cat (90%)、 chicken (80%)、 cattle (60%)、 fish (40%)、 rabbit (30%)、 rat (25%)、 Horse (20%)、 bird (10%)、 Dragonfly (5%).
For this picture t o p 1 − A c c u r a c y top1-Accuracy top1−Accuracy by 100%, The category with the highest probability is correct if it is the same as the actual category , The most likely one is the dog , by 98%.
For this picture t o p 5 − A c c u r a c y top5-Accuracy top5−Accuracy by 100%, Before the highest probability 5 If one of the categories is the same as the actual category . Include dogs in the top five probability (98%)、 cat (90%)、 chicken (80%)、 cattle (60%)、 fish (40%), Among them are dogs .
conversely , If predicted : cat (98%)、 cattle (90%)、 Dog (80%)、 chicken (60%)、 fish (40%)、 rabbit (30%)、 rat (25%)、 Horse (20%)、 bird (10%)、 Dragonfly (5%).
For this picture t o p 1 − A c c u r a c y top1-Accuracy top1−Accuracy by 0%, The most likely one is the cat , Not a dog .
For this picture t o p 5 − A c c u r a c y top5-Accuracy top5−Accuracy by 100%, Before the highest probability 5 If one of the categories is the same as the actual category . Include cats in the top five probability (98%)、 cattle (90%)、 Dog (80%)、 chicken (60%)、 fish (40%), There are dogs .
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