Equation 17 · Part 1 · Embeddings and the Geometry of Similarity
Symbol k
What this part means
k is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.
Its job in the formula
k is a part of this expression. Its role is fixed by the surrounding article and by the operations shown in the formula.
Full expression→Symbol k→Article meaning
The passage around this formula
A third effect compounds these. Radovanovic, Nanopoulos and Ivanovic showed that as dimensionality increases, the distribution of how often a point occurs among the k nearest neighbours of other points becomes strongly skewed: some points become hubs , appearing in very many neighbour lists, and they characterise this as an inherent property of data distributions in high-dimensional space rather than an artefact of any particular dataset [ 13 ] . In a retrieval system, a hub is a document that surfaces for queries it has nothing to do with, and it will look like a bug in the ingestion pipeline.
Learn the underlying idea
A variable is a named place for a value. Its letter is a local label: x can mean position in one formula and a data point in another.
Open the illustrated variables: a letter stands for a value guide →
See this notation across published equations →
Sources cited in the surrounding passage
These citations provide research context; check each source for the exact claim it supports.