wassersteinH0

function wassersteinH0(
   a,
   b,
   p?): number;

Defined in: metrics/topology.ts:169

Wasserstein-p distance between two degree-0 diagrams — total mismatch rather than the worst one, so it responds to many small differences where the bottleneck distance does not.

Parameters

Parameter	Type	Default value
a	ArrayLike<number>	undefined
b	ArrayLike<number>	undefined
p	number	1

Returns

number

Example

import { persistenceH0, wassersteinH0 } from "@saehrimnir/sickle";

const a = persistenceH0(data), b = persistenceH0(projection);

wassersteinH0(a.deaths, b.deaths, 1);  // 234.7026 — sums every discrepancy
wassersteinH0(a.deaths, b.deaths, 2);  // 15.4333
// Unlike the bottleneck distance, this notices many small differences.