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Assume we have two classes and , and we wish to classify a new document . We have the following training data:
| document | class | cosine distance to |
| 1 | A | 1 |
| 2 | B | 0.95 |
| 3 | B | 0.94 |
| 4 | A | 0.45 |
| 5 | A | 0.4 |
| 6 | B | 0.39 |
Where we are using the cosine distance as a measure of distance (the higher the value, the closer the two documents). What class would be assigned to using a -NN classifier where we take then .