Data Science & Machine Learning
February 9, 2025 at 08:37 AM
๐๐ฎ๐๐ฎ ๐ฆ๐ฐ๐ถ๐ฒ๐ป๐ฐ๐ฒ ๐๐ป๐๐ฒ๐ฟ๐๐ถ๐ฒ๐ ๐ค๐๐ฒ๐๐๐ถ๐ผ๐ป:
How does outliers impact kNN?
Outliers can significantly impact the performance of kNN, leading to inaccurate predictions due to the model's reliance on proximity for decision-making. Hereโs a breakdown of how outliers influence kNN:
๐๐ถ๐ด๐ต ๐ฉ๐ฎ๐ฟ๐ถ๐ฎ๐ป๐ฐ๐ฒ
The presence of outliers can increase the model's variance, as predictions near outliers may fluctuate unpredictably depending on which neighbors are included. This makes the model less reliable for regression tasks with scattered or sparse data.
๐๐ถ๐๐๐ฎ๐ป๐ฐ๐ฒ ๐ ๐ฒ๐๐ฟ๐ถ๐ฐ ๐ฆ๐ฒ๐ป๐๐ถ๐๐ถ๐๐ถ๐๐
kNN relies on distance metrics, which can be significantly affected by outliers. In high-dimensional spaces, outliers can increase the range of distances, making it harder for the algorithm to distinguish between nearby points and those farther away. This issue can lead to an overall reduction in accuracy as the modelโs ability to effectively measure "closeness" degrades.
๐ฅ๐ฒ๐ฑ๐๐ฐ๐ฒ ๐ฝ๐ฒ๐ฟ๐ณ๐ผ๐ฟ๐บ๐ฎ๐ป๐ฐ๐ฒ ๐ถ๐ป ๐๐น๐ฎ๐๐๐ถ๐ณ๐ถ๐ฐ๐ฎ๐๐ถ๐ผ๐ป/๐ฅ๐ฒ๐ด๐ฟ๐ฒ๐๐๐ถ๐ผ๐ป ๐ง๐ฎ๐๐ธ๐
Outliers near class boundaries can pull the decision boundary toward them, potentially misclassifying nearby points that should belong to a different class. This is particularly problematic if k is small, as individual points (like outliers) have a greater influence. The same happens in regression tasks as well.
๐๐ฒ๐ฎ๐๐๐ฟ๐ฒ ๐๐ป๐ณ๐น๐๐ฒ๐ป๐ฐ๐ฒ ๐๐ถ๐๐ฝ๐ฟ๐ผ๐ฝ๐ผ๐ฟ๐๐ถ๐ผ๐ป
If certain features contain outliers, they can dominate the distance calculations and overshadow the impact of other features. For example, an outlier in a high-magnitude feature may cause distances to be determined largely by that feature, affecting the quality of the neighbor selection.
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