Threshold Proximity Clustering

Algorithm

Threshold Proximity Clustering, within the context of cryptocurrency derivatives, represents a data-driven approach to identifying clusters of assets exhibiting similar price behavior relative to a defined threshold. This technique moves beyond traditional k-means clustering by incorporating a proximity measure—often Euclidean distance or correlation—and a dynamic threshold that adapts to market volatility. The algorithm iteratively assigns data points (representing, for example, options contracts or crypto spot prices) to clusters based on their proximity to cluster centroids, while ensuring that the distance to the nearest centroid remains below the specified threshold. Such a methodology proves particularly valuable in constructing dynamic hedging strategies or identifying correlated assets for arbitrage opportunities.