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Local Outlier Factor (LOF)

Anomaly detection algorithm that measures the local density deviation factor of a point relative to its neighbors. An LOF greater than 1 indicates a potentially abnormal observation.

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Local density

Measure of the concentration of data points in a specific neighborhood around a point of interest. It assesses how many observations are located in a given region of the space.

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Reachability distance

The maximum distance between a point and its k-nearest neighbors, used to normalize distances and reduce the impact of local variations. It allows for comparing densities between different regions.

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Density factor

Ratio between the local density of a point and the average density of its neighbors, quantifying the relative isolation of an observation. High values indicate points in less dense areas.

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Local outlierness

Quantitative measure of the degree of anomaly of a point based on its relative position to surrounding points. It captures subtle deviations in regions of variable density.

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LOF score

Numerical value resulting from the LOF algorithm indicating the level of anomaly of an observation. A score close to 1 suggests a normal observation, while high scores signal outliers.

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Local depth

Concept measuring how deeply a point is integrated into a local data distribution. It influences anomaly detection in complex data structures.

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Density-based isolation

Principle that anomalies are naturally more isolated in low-density regions. LOF exploits this property to identify atypical observations.

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Density cluster

Grouping of data points forming a high-density region in the feature space. LOF uses these clusters as a reference to identify isolated points.

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Decision boundary

Discriminant threshold separating normal observations from anomalies based on LOF scores. It can be adaptive depending on the local data distribution.

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Parameter sensitivity

Property of LOF regarding its responsiveness to variations in parameter k and the choice of distance metric. It affects the ability to detect different types of anomalies.

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Distance normalization

Process of adjusting distance measures to handle variable scales between different data dimensions. It improves the robustness of anomaly detection.

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Similarity metric

Mathematical function quantifying proximity between two points in the feature space. It directly influences neighborhood formation and LOF scores.

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Robustness to variations

Ability of LOF to maintain its performance in the face of changes in data distribution or noise. It depends on the adaptability of the local density measure.

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Reachability density

Inverse of the average reachability distance of a point with respect to its neighbors, serving as a stable estimator of local density. It reduces the impact of statistical fluctuations.

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Noise vs Anomaly

Distinction between random variations (noise) and significantly deviating observations (anomalies). LOF differentiates these phenomena through local density analysis.

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