Equation 6 · Part 8 · Embeddings and the Geometry of Similarity
Symbol varepsilon
What this part means
varepsilon appears in the objective or constraint used by the optimization on the right.
Its job in the formula
varepsilon appears in the objective or constraint used by the optimization on the right.
Full expression→Symbol varepsilon→Article meaning
The passage around this formula
…distance to the nearest data point approaches the distance to the farthest. Formally, writing for the distance function in m dimensions, for a data point and for a query point: . for every > 0 [ 11 ] . The condition is on the relative variance of the distance distribution: when distances stop varying much relative to their own mean, the nearest neighbour stops being distinguishable from everything else. The authors call such a query unstable , and their empirical work…
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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.
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Sources cited in the surrounding passage
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