Delta-rational chord: Difference between revisions
→Round metric: "Round metric" is the metric tensor not the distance function |
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It satisfies SLSE({D_i}, {E_i}) = SLSE({E_i}, {D_i}) and is an upper bound for the NLSE. However, it is invariant under scaling neither of the arguments. | It satisfies SLSE({D_i}, {E_i}) = SLSE({E_i}, {D_i}) and is an upper bound for the NLSE. However, it is invariant under scaling neither of the arguments. | ||
=== Sphere metric === | === Sphere metric error === | ||
Project the set of delta signatures with ''n'' terms (as directions of rays in the positive orthant of <math>\mathbb{R}^n</math>) onto the sphere <math>S^{n-1}</math> and measure the distance on the sphere. This results in the ''sphere metric''{{idiosyncratic}}. | Project the set of delta signatures with ''n'' terms (as directions of rays in the positive orthant of <math>\mathbb{R}^n</math>) onto the sphere <math>S^{n-1}</math> and measure the distance on the sphere. This results in a metric/distance function, the ''sphere metric error''{{idiosyncratic}}. | ||
=== Open problems === | === Open problems === | ||