Data Science & Machine Learning
February 9, 2025 at 08:37 AM
๐——๐—ฎ๐˜๐—ฎ ๐—ฆ๐—ฐ๐—ถ๐—ฒ๐—ป๐—ฐ๐—ฒ ๐—œ๐—ป๐˜๐—ฒ๐—ฟ๐˜ƒ๐—ถ๐—ฒ๐˜„ ๐—ค๐˜‚๐—ฒ๐˜€๐˜๐—ถ๐—ผ๐—ป: 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. Hereโ€™s a breakdown of how outliers influence kNN: ๐—›๐—ถ๐—ด๐—ต ๐—ฉ๐—ฎ๐—ฟ๐—ถ๐—ฎ๐—ป๐—ฐ๐—ฒ 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. ๐——๐—ถ๐˜€๐˜๐—ฎ๐—ป๐—ฐ๐—ฒ ๐— ๐—ฒ๐˜๐—ฟ๐—ถ๐—ฐ ๐—ฆ๐—ฒ๐—ป๐˜€๐—ถ๐˜๐—ถ๐˜ƒ๐—ถ๐˜๐˜† 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 modelโ€™s ability to effectively measure "closeness" degrades. ๐—ฅ๐—ฒ๐—ฑ๐˜‚๐—ฐ๐—ฒ ๐—ฝ๐—ฒ๐—ฟ๐—ณ๐—ผ๐—ฟ๐—บ๐—ฎ๐—ป๐—ฐ๐—ฒ ๐—ถ๐—ป ๐—–๐—น๐—ฎ๐˜€๐˜€๐—ถ๐—ณ๐—ถ๐—ฐ๐—ฎ๐˜๐—ถ๐—ผ๐—ป/๐—ฅ๐—ฒ๐—ด๐—ฟ๐—ฒ๐˜€๐˜€๐—ถ๐—ผ๐—ป ๐—ง๐—ฎ๐˜€๐—ธ๐˜€ 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. ๐—™๐—ฒ๐—ฎ๐˜๐˜‚๐—ฟ๐—ฒ ๐—œ๐—ป๐—ณ๐—น๐˜‚๐—ฒ๐—ป๐—ฐ๐—ฒ ๐——๐—ถ๐˜€๐—ฝ๐—ฟ๐—ผ๐—ฝ๐—ผ๐—ฟ๐˜๐—ถ๐—ผ๐—ป 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. Cracking the Data Science Interview ๐Ÿ‘‡๐Ÿ‘‡ t.me/datasciencefun ENJOY LEARNING ๐Ÿ‘๐Ÿ‘
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