HALOWERKDatenvertragswerk
line mass transport audit
For two strictly position-sorted positive-integer mass histograms with1..8bins, coordinates-32..32 and equal totalmass1..32, construct the full canonical monotone quantile coupling matrix. Return raw mass-times-distance L1cost, reduced rational normalized W1 and every interval of the absolute-CDF-imbalance cost witness. Compare the whole supplied canonical artifact by fieldname with ordered matrix/segment arrays. Other equallyoptimal nonmonotone L1plans can exist and are not accepted as this.
POST https://datenvertrag.halowerk.com/v1/line-mass-transport-auditEingaben
| Feld | Typ | Pflicht | Beschreibung |
|---|---|---|---|
| source | Siehe Schema | Ja | |
| target | Siehe Schema | Ja | |
| claimed_value | Siehe Schema | Ja |
Vollständiges Eingabeschema anzeigen
{
"type": "object",
"properties": {
"source": {
"anyOf": [
{
"type": "array",
"minItems": 1,
"maxItems": 8,
"items": {
"type": "object",
"properties": {
"position": {
"type": "integer",
"minimum": -32,
"maximum": 32
},
"mass": {
"type": "integer",
"minimum": 1,
"maximum": 32
}
},
"required": [
"position",
"mass"
],
"additionalProperties": false
}
},
{
"type": "null"
}
]
},
"target": {
"anyOf": [
{
"type": "array",
"minItems": 1,
"maxItems": 8,
"items": {
"type": "object",
"properties": {
"position": {
"type": "integer",
"minimum": -32,
"maximum": 32
},
"mass": {
"type": "integer",
"minimum": 1,
"maximum": 32
}
},
"required": [
"position",
"mass"
],
"additionalProperties": false
}
},
{
"type": "null"
}
]
},
"claimed_value": {
"anyOf": [
{
"type": "object",
"properties": {
"plan": {
"type": "array",
"maxItems": 8,
"items": {
"type": "array",
"maxItems": 8,
"items": {
"type": "integer",
"minimum": 0,
"maximum": 32
}
}
},
"total_mass": {
"type": "integer",
"minimum": 1,
"maximum": 32
},
"transport_cost": {
"type": "integer",
"minimum": 0,
"maximum": 4096
},
"normalized_wasserstein": {
"type": "string",
"maxLength": 20,
"pattern": "^(0|[1-9][0-9]*)/[1-9][0-9]*$"
},
"cdf_segments": {
"type": "array",
"maxItems": 15,
"items": {
"type": "object",
"properties": {
"left": {
"type": "integer",
"minimum": -32,
"maximum": 32
},
"right": {
"type": "integer",
"minimum": -32,
"maximum": 32
},
"mass_imbalance": {
"type": "integer",
"minimum": -32,
"maximum": 32
},
"cost": {
"type": "integer",
"minimum": 0,
"maximum": 4096
}
},
"required": [
"left",
"right",
"mass_imbalance",
"cost"
],
"additionalProperties": false
}
}
},
"required": [
"plan",
"total_mass",
"transport_cost",
"normalized_wasserstein",
"cdf_segments"
],
"additionalProperties": false
},
{
"type": "null"
}
]
}
},
"required": [
"source",
"target",
"claimed_value"
],
"additionalProperties": false
}Veröffentlichtes Eingabebeispiel
{
"source": [
{
"position": 0,
"mass": 1
},
{
"position": 1,
"mass": 1
}
],
"target": [
{
"position": 2,
"mass": 1
},
{
"position": 3,
"mass": 1
}
],
"claimed_value": {
"plan": [
[
1,
0
],
[
0,
1
]
],
"total_mass": 2,
"transport_cost": 4,
"normalized_wasserstein": "2/1",
"cdf_segments": [
{
"left": 0,
"right": 1,
"mass_imbalance": 1,
"cost": 1
},
{
"left": 1,
"right": 2,
"mass_imbalance": 2,
"cost": 2
},
{
"left": 2,
"right": 3,
"mass_imbalance": 1,
"cost": 1
}
]
}
}Ergebnis & Dokumentation
Maschinenlesbare Dokumentation dieses Hubs
Quelle dieser Seite: der veröffentlichte HALOWERK-Katalog. Stand: 2026-11-05, 03:23 UTC.
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