concept

Minkowski Distance

Minkowski Distance is a generalized distance metric in mathematics and data science that measures the distance between two points in a normed vector space. It is defined by a parameter p, which determines the specific type of distance (e.g., Manhattan distance for p=1, Euclidean distance for p=2, and Chebyshev distance as p approaches infinity). This metric is widely used in machine learning, clustering algorithms, and pattern recognition to quantify similarity or dissimilarity between data points.

Also known as: Minkowski metric, Lp norm distance, Minkowski norm, p-norm distance, Minkowski
🧊Why learn Minkowski Distance?

Developers should learn Minkowski Distance when working on machine learning tasks that involve distance-based algorithms, such as k-nearest neighbors (KNN), k-means clustering, or similarity searches in high-dimensional data. It is particularly useful in data preprocessing, feature engineering, and optimization problems where flexible distance measures are needed, allowing customization through the p parameter to suit specific data characteristics or application requirements.

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