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MongoDB/Mongoose - Consultando uma matriz de objetos por data


Você pode executar um pipeline de agregação que usa o $filter operador nos values variedade. A seguinte consulta do shell mongo demonstra isso:
var start = new Date("2016-10-28T07:00:00.000Z"),
    end = new Date("2016-11-03T07:00:00.000Z");

db.metrics.aggregate([
    { 
        "$match": { 
            "name": "Hello",
            "values.date": { "$gt": start, "$lt": end }
        } 
    },
    {
        "$project": {
            "name": 1,
            "values": {
                "$filter": {
                    "input": "$values",
                    "as": "value",
                    "cond": { 
                        "$and": [
                            { "$gt": [ "$$value.date", start ] },
                            { "$lt": [ "$$value.date", end ] }
                        ]
                    }
                }
            }
        }
    }
])

Saída de amostra
/* 1 */
{
    "_id" : ObjectId("5845453145fda1298fa50db9"),
    "name" : "Hello",
    "values" : [ 
        {
            "value" : 1568,
            "date" : ISODate("2016-10-29T07:00:00.000Z"),
            "_id" : ObjectId("58453abfef7aaa15ac1fdee7")
        }, 
        {
            "value" : 1547,
            "date" : ISODate("2016-10-30T07:00:00.000Z"),
            "_id" : ObjectId("58453abfef7aaa15ac1fdee6")
        }, 
        {
            "value" : 1497,
            "date" : ISODate("2016-10-31T07:00:00.000Z"),
            "_id" : ObjectId("58453abfef7aaa15ac1fdee5")
        }, 
        {
            "value" : 3031,
            "date" : ISODate("2016-11-01T07:00:00.000Z"),
            "_id" : ObjectId("58453abfef7aaa15ac1fdee4")
        }, 
        {
            "value" : 2559,
            "date" : ISODate("2016-11-02T07:00:00.000Z"),
            "_id" : ObjectId("58453abfef7aaa15ac1fdee3")
        }
    ]
}

Para o MongoDB 3.0, a seguinte solução alternativa se aplica:
var start = new Date("2016-10-28T07:00:00.000Z"),
    end = new Date("2016-11-03T07:00:00.000Z");

db.metrics.aggregate([
    { 
        "$match": { 
            "name": "Hello",
            "values.date": { "$gt": start, "$lt": end }
        } 
    },
    {
        "$project": {
            "name": 1,
            "values": {
                "$setDifference": [
                    {
                        "$map": {
                            "input": "$values",
                            "as": "value",
                            "in": {
                                "$cond": [
                                    { 
                                        "$and": [
                                            { "$gt": [ "$$value.date", start ] },
                                            { "$lt": [ "$$value.date", end ] }
                                        ]
                                    },
                                    "$$value",
                                    false
                                ]
                            }
                        }
                    },
                    [false]
                ]
            }
        }
    }
])