Alink 是阿里巴巴基于实时计算引擎 Flink 研发的新

0x00 摘要

Alink 是阿里巴巴基于实时计算引擎 Flink 研发的新一代机器学习算法平台，是业界首个同时支持批式算法、流式算法的机器学习平台。二分类评估是对二分类算法的预测结果进行效果评估。本文将剖析Alink中对应代码实现

public class EvalBinaryClassExample {AlgoOperator getData(boolean isBatch) {Row[] rows = new Row[]{Row.of("prefix1", "{\"prefix1\": 0.9, \"prefix0\": 0.1}"),Row.of("prefix1", "{\"prefix1\": 0.8, \"prefix0\": 0.2}"),Row.of("prefix1", "{\"prefix1\": 0.7, \"prefix0\": 0.3}"),Row.of("prefix0", "{\"prefix1\": 0.75, \"prefix0\": 0.25}"),Row.of("prefix0", "{\"prefix1\": 0.6, \"prefix0\": 0.4}")};String[] schema = new String[]{"label", "detailInput"};if (isBatch) {return new MemSourceBatchOp(rows, schema);} else {return new MemSourceStreamOp(rows, schema);}}public static void main(String[] args) throws Exception {EvalBinaryClassExample test = new EvalBinaryClassExample();BatchOperator batchData = (BatchOperator) test.getData(true);BinaryClassMetrics metrics = new EvalBinaryClassBatchOp().setLabelCol("label").setPredictionDetailCol("detailInput").linkFrom(batchData).collectMetrics();System.out.println("RocCurve:" + metrics.getRocCurve());System.out.println("AUC:" + metrics.getAuc());System.out.println("KS:" + metrics.getKs());System.out.println("PRC:" + metrics.getPrc());System.out.println("Accuracy:" + metrics.getAccuracy());System.out.println("Macro Precision:" + metrics.getMacroPrecision());System.out.println("Micro Recall:" + metrics.getMicroRecall());System.out.println("Weighted Sensitivity:" + metrics.getWeightedSensitivity());}
}

程序输出

RocCurve:([0.0, 0.0, 0.0, 0.5, 0.5, 1.0, 1.0],[0.0, 0.3333333333333333, 0.6666666666666666, 0.6666666666666666, 1.0, 1.0, 1.0])
AUC:0.8333333333333333
KS:0.6666666666666666
PRC:0.9027777777777777
Accuracy:0.6
Macro Precision:0.3
Micro Recall:0.6
Weighted Sensitivity:0.6

在 Alink 中，二分类评估有批处理，流处理两种实现，下面一一为大家介绍（ Alink 复杂之一在于大量精细的数据结构，所以下文会大量打印程序中变量以便大家理解）。

2.1 主要思路

把 [0,1] 分成假设 100000个桶(bin)。所以得到positiveBin / negativeBin 两个100000的数组。
根据输入给positiveBin / negativeBin赋值。positiveBin就是 TP + FP，negativeBin就是 TN + FN。这些是后续计算的基础。
遍历bins中每一个有意义的点，计算出totalTrue和totalFalse，并且在每一个点上计算该点的混淆矩阵，tpr，以及rocCurve，recallPrecisionCurve，liftChart在该点对应的数据；
依据曲线内容计算并且存储 AUC/PRC/KS

具体后续还有详细调用关系综述。

0x03 批处理

3.1 EvalBinaryClassBatchOp

EvalBinaryClassBatchOp是二分类评估的实现，功能是计算二分类的评估指标(evaluation metrics)。

输入有两种：

label column and predResult column
label column and predDetail column。如果有predDetail，则predResult被忽略

我们例子中 "prefix1" 就是 label，"{\"prefix1\": 0.9, \"prefix0\": 0.1}" 就是 predDetail

Row.of("prefix1", "{\"prefix1\": 0.9, \"prefix0\": 0.1}")

具体类摘录如下：

public class EvalBinaryClassBatchOp extends BaseEvalClassBatchOp<EvalBinaryClassBatchOp> implements BinaryEvaluationParams <EvalBinaryClassBatchOp>, EvaluationMetricsCollector<BinaryClassMetrics> {@Overridepublic BinaryClassMetrics collectMetrics() {return new BinaryClassMetrics(this.collect().get(0));}
}

可以看到，其主要工作都是在基类BaseEvalClassBatchOp中完成，所以我们会首先看BaseEvalClassBatchOp。

3.2 BaseEvalClassBatchOp

我们还是从 linkFrom 函数入手，其主要是做了几件事：

获取配置信息
从输入中提取某些列："label"，"detailInput"
calLabelPredDetailLocal会按照partition分别计算evaluation metrics
综合reduce上述计算结果
SaveDataAsParams函数会把最终数值输入到 output table

具体代码如下

@Override
public T linkFrom(BatchOperator<?>... inputs) {BatchOperator<?> in = checkAndGetFirst(inputs);String labelColName = this.get(MultiEvaluationParams.LABEL_COL);String positiveValue = this.get(BinaryEvaluationParams.POS_LABEL_VAL_STR);// Judge the evaluation type from params.ClassificationEvaluationUtil.Type type = ClassificationEvaluationUtil.judgeEvaluationType(this.getParams());DataSet<BaseMetricsSummary> res;switch (type) {case PRED_DETAIL: {String predDetailColName = this.get(MultiEvaluationParams.PREDICTION_DETAIL_COL);// 从输入中提取某些列："label"，"detailInput" DataSet<Row> data = in.select(new String[] {labelColName, predDetailColName}).getDataSet();// 按照partition分别计算evaluation metricsres = calLabelPredDetailLocal(data, positiveValue, binary);break;}......}// 综合reduce上述计算结果DataSet<BaseMetricsSummary> metrics = res.reduce(new EvaluationUtil.ReduceBaseMetrics());// 把最终数值输入到 output tablethis.setOutput(metrics.flatMap(new EvaluationUtil.SaveDataAsParams()),new String[] {DATA_OUTPUT}, new TypeInformation[] {Types.STRING});return (T)this;
}// 执行中一些变量如下
labelColName = "label"
predDetailColName = "detailInput"
type = {ClassificationEvaluationUtil$Type@2532} "PRED_DETAIL"
binary = true
positiveValue = null

3.2.0 调用关系综述

因为后续代码调用关系复杂，所以先给出一个调用关系：

从输入中提取某些列："label"，"detailInput"，in.select(new String[] {labelColName, predDetailColName}).getDataSet()。因为可能输入还有其他列，而只有某些列是我们计算需要的，所以只提取这些列。
按照partition分别计算evaluation metrics，即调用 calLabelPredDetailLocal(data, positiveValue, binary);
- flatMap会从label列和prediction列中，取出所有labels（注意是取出labels的名字），发送给下游算子。
- reduceGroup主要功能是通过 buildLabelIndexLabelArray 去重 "labels名字"，然后给每一个label一个ID，得到一个 <labels, ID>的map，最后返回是二元组(map, labels)，即({prefix1=0, prefix0=1},[prefix1, prefix0])。从后文看，<labels, ID>Map看来是多分类才用到。二分类只用到了labels。
- mapPartition 分区调用 CalLabelDetailLocal 来计算混淆矩阵，主要是分区调用getDetailStatistics，前文中得到的二元组(map, labels)会作为参数传递进来。
  - getDetailStatistics 遍历 rows 数据，提取每一个item（比如 "prefix1,{"prefix1": 0.8, "prefix0": 0.2}"），然后通过updateBinaryMetricsSummary累积计算混淆矩阵所需数据。
    - updateBinaryMetricsSummary 把 [0,1] 分成假设 100000个桶(bin)。所以得到positiveBin / negativeBin 两个100000的数组。positiveBin就是 TP + FP，negativeBin就是 TN + FN。
      - 如果某个 sample 为正例 (positive value) 的概率是 p, 则该 sample 对应的 bin index 就是 p * 100000。如果 p 被预测为正例 (positive value) ，则positiveBin[index]++，
      - 否则就是被预测为负例(negative value) ，则negativeBin[index]++。
综合reduce上述计算结果，metrics = res.reduce(new EvaluationUtil.ReduceBaseMetrics());
- 具体计算是在BinaryMetricsSummary.merge，其作用就是Merge the bins, and add the logLoss。
把最终数值输入到 output table，setOutput(metrics.flatMap(new EvaluationUtil.SaveDataAsParams()..);
- 归并所有BaseMetrics后，得到total BaseMetrics，计算indexes存入params。collector.collect(t.toMetrics().serialize());
  - 实际业务在BinaryMetricsSummary.toMetrics，即基于bin的信息计算，然后存储到params。
    - extractMatrixThreCurve函数取出非空的bins，据此计算出ConfusionMatrix array（混淆矩阵）, threshold array, rocCurve/recallPrecisionCurve/LiftChart.
      - 遍历bins中每一个有意义的点，计算出totalTrue和totalFalse，并且在每一个点上计算：
      - curTrue += positiveBin[index]; curFalse += negativeBin[index];
      - 得到该点的混淆矩阵 new ConfusionMatrix(new long[][] {{curTrue, curFalse}, {totalTrue - curTrue, totalFalse - curFalse}});
      - 得到 tpr = (totalTrue == 0 ? 1.0 : 1.0 * curTrue / totalTrue);
      - rocCurve，recallPrecisionCurve，liftChart在该点对应的数据；
    - 依据曲线内容计算并且存储 AUC/PRC/KS
    - 对生成的rocCurve/recallPrecisionCurve/LiftChart输出进行抽样
    - 依据抽样后的输出存储 RocCurve/RecallPrecisionCurve/LiftChar
    - 存储正例样本的度量指标
    - 存储Logloss
    - Pick the middle point where threshold is 0.5.

3.2.1 calLabelPredDetailLocal

本函数按照partition分别计算评估指标 evaluation metrics。是的，这代码很短，但是有个地方需要注意。有时候越简单的地方越容易疏漏。容易疏漏点是：

第一行代码的结果 labels 是第二行代码的参数，而并非第二行主体。第二行代码主体和第一行代码主体一样，都是data。

private static DataSet<BaseMetricsSummary> calLabelPredDetailLocal(DataSet<Row> data, final String positiveValue, oolean binary) {DataSet<Tuple2<Map<String, Integer>, String[]>> labels = data.flatMap(new FlatMapFunction<Row, String>() {@Overridepublic void flatMap(Row row, Collector<String> collector) {TreeMap<String, Double> labelProbMap;if (EvaluationUtil.checkRowFieldNotNull(row)) {labelProbMap = EvaluationUtil.extractLabelProbMap(row);labelProbMap.keySet().forEach(collector::collect);collector.collect(row.getField(0).toString());}}}).reduceGroup(new EvaluationUtil.DistinctLabelIndexMap(binary, positiveValue));return data.rebalance().mapPartition(new CalLabelDetailLocal(binary)).withBroadcastSet(labels, LABELS);
}

calLabelPredDetailLocal中具体分为三步骤：

在flatMap会从label列和prediction列中，取出所有labels（注意是取出labels的名字），发送给下游算子。
reduceGroup的主要功能是去重 "labels名字"，然后给每一个label一个ID，最后结果是一个<labels, ID>Map。
mapPartition 是分区调用 CalLabelDetailLocal 来计算混淆矩阵。

下面具体看看。

3.2.1.1 flatMap

在flatMap中，主要是从label列和prediction列中，取出所有labels（注意是取出labels的名字），发送给下游算子。

EvaluationUtil.extractLabelProbMap 作用就是解析输入的json，获得具体detailInput中的信息。

下游算子是reduceGroup，所以Flink runtime会对这些labels自动去重。如果对这部分有兴趣，可以参见我之前介绍reduce的文章。CSDN ： [源码解析] Flink的groupBy和reduce究竟做了什么博客园 : [源码解析] Flink的groupBy和reduce究竟做了什么

程序中变量如下

row = {Row@8922} "prefix1,{"prefix1": 0.9, "prefix0": 0.1}"fields = {Object[2]@8925} 0 = "prefix1"1 = "{"prefix1": 0.9, "prefix0": 0.1}"labelProbMap = {TreeMap@9008}  size = 2"prefix0" -> {Double@9015} 0.1"prefix1" -> {Double@9017} 0.9labelProbMap.keySet().forEach(collector::collect); //这里发送 "prefix0", "prefix1"
collector.collect(row.getField(0).toString());  // 这里发送 "prefix1"
// 因为下一个操作是reduceGroup，所以这些label会被runtime去重

3.2.1.2 reduceGroup

主要功能是通过buildLabelIndexLabelArray去重labels，然后给每一个label一个ID，最后结果是一个<labels, ID>的Map。

reduceGroup(new EvaluationUtil.DistinctLabelIndexMap(binary, positiveValue));

DistinctLabelIndexMap的作用是从label列和prediction列中，取出所有不同的labels，返回一个<labels, ID>的map，根据后续代码看，这个map是多分类才用到。Get all the distinct labels from label column and prediction column, and return the map of labels and their IDs.

前面已经提到，这里的参数rows已经被自动去重。

public static class DistinctLabelIndexMap implementsGroupReduceFunction<String, Tuple2<Map<String, Integer>, String[]>> {......@Overridepublic void reduce(Iterable<String> rows, Collector<Tuple2<Map<String, Integer>, String[]>> collector) throws Exception {HashSet<String> labels = new HashSet<>();rows.forEach(labels::add);collector.collect(buildLabelIndexLabelArray(labels, binary, positiveValue));}
}// 变量为
labels = {HashSet@9008}  size = 20 = "prefix1"1 = "prefix0"
binary = true

buildLabelIndexLabelArray的作用是给每一个label一个ID，得到一个 <labels, ID>的map，最后返回是二元组(map, labels)，即({prefix1=0, prefix0=1},[prefix1, prefix0])。

// Give each label an ID, return a map of label and ID.
public static Tuple2<Map<String, Integer>, String[]> buildLabelIndexLabelArray(HashSet<String> set,boolean binary, String positiveValue) {String[] labels = set.toArray(new String[0]);Arrays.sort(labels, Collections.reverseOrder());Map<String, Integer> map = new HashMap<>(labels.length);if (binary && null != positiveValue) {if (labels[1].equals(positiveValue)) {labels[1] = labels[0];labels[0] = positiveValue;} map.put(labels[0], 0);map.put(labels[1], 1);} else {for (int i = 0; i < labels.length; i++) {map.put(labels[i], i);}}return Tuple2.of(map, labels);
}// 程序变量如下
labels = {String[2]@9013} 0 = "prefix1"1 = "prefix0"
map = {HashMap@9014}  size = 2"prefix1" -> {Integer@9020} 0"prefix0" -> {Integer@9021} 1

3.2.1.3 mapPartition

这里主要功能是分区调用 CalLabelDetailLocal 来为后来计算混淆矩阵做准备。

return data.rebalance().mapPartition(new CalLabelDetailLocal(binary)) //这里是业务所在.withBroadcastSet(labels, LABELS);

具体工作是 CalLabelDetailLocal 完成的，其作用是分区调用getDetailStatistics

// Calculate the confusion matrix based on the label and predResult.
static class CalLabelDetailLocal extends RichMapPartitionFunction<Row, BaseMetricsSummary> {private Tuple2<Map<String, Integer>, String[]> map;private boolean binary;@Overridepublic void open(Configuration parameters) throws Exception {List<Tuple2<Map<String, Integer>, String[]>> list = getRuntimeContext().getBroadcastVariable(LABELS);this.map = list.get(0);// 前文生成的二元组(map, labels)}@Overridepublic void mapPartition(Iterable<Row> rows, Collector<BaseMetricsSummary> collector) {// 调用到了 getDetailStatisticscollector.collect(getDetailStatistics(rows, binary, map));}}

getDetailStatistics 的作用是：初始化分类评估的度量指标 base classification evaluation metrics，累积计算混淆矩阵需要的数据。主要就是遍历 rows 数据，提取每一个item（比如 "prefix1,{"prefix1": 0.8, "prefix0": 0.2}"），然后累积计算混淆矩阵所需数据。

// Initialize the base classification evaluation metrics. There are two cases: BinaryClassMetrics and MultiClassMetrics.private static BaseMetricsSummary getDetailStatistics(Iterable<Row> rows,String positiveValue,boolean binary,Tuple2<Map<String, Integer>, String[]> tuple) {BinaryMetricsSummary binaryMetricsSummary = null;MultiMetricsSummary multiMetricsSummary = null;Tuple2<Map<String, Integer>, String[]> labelIndexLabelArray = tuple;  // 前文生成的二元组(map, labels)Iterator<Row> iterator = rows.iterator();Row row = null;while (iterator.hasNext() && !checkRowFieldNotNull(row)) {row = iterator.next();}Map<String, Integer> labelIndexMap = null;if (binary) {// 二分法在这里 binaryMetricsSummary = new BinaryMetricsSummary(new long[ClassificationEvaluationUtil.DETAIL_BIN_NUMBER],new long[ClassificationEvaluationUtil.DETAIL_BIN_NUMBER],labelIndexLabelArray.f1, 0.0, 0L);} else {// labelIndexMap = labelIndexLabelArray.f0; // 前文生成的<labels, ID>Map看来是多分类才用到。multiMetricsSummary = new MultiMetricsSummary(new long[labelIndexMap.size()][labelIndexMap.size()],labelIndexLabelArray.f1, 0.0, 0L);}while (null != row) {if (checkRowFieldNotNull(row)) {TreeMap<String, Double> labelProbMap = extractLabelProbMap(row);String label = row.getField(0).toString();if (ArrayUtils.indexOf(labelIndexLabelArray.f1, label) >= 0) {if (binary) {// 二分法在这里 updateBinaryMetricsSummary(labelProbMap, label, binaryMetricsSummary);} else {updateMultiMetricsSummary(labelProbMap, label, labelIndexMap, multiMetricsSummary);}}}row = iterator.hasNext() ? iterator.next() : null;}return binary ? binaryMetricsSummary : multiMetricsSummary;
}//变量如下
tuple = {Tuple2@9252} "({prefix1=0, prefix0=1},[prefix1, prefix0])"f0 = {HashMap@9257}  size = 2"prefix1" -> {Integer@9264} 0"prefix0" -> {Integer@9266} 1f1 = {String[2]@9258} 0 = "prefix1"1 = "prefix0"row = {Row@9271} "prefix1,{"prefix1": 0.8, "prefix0": 0.2}"fields = {Object[2]@9276} 0 = "prefix1"1 = "{"prefix1": 0.8, "prefix0": 0.2}"labelIndexLabelArray = {Tuple2@9240} "({prefix1=0, prefix0=1},[prefix1, prefix0])"f0 = {HashMap@9288}  size = 2"prefix1" -> {Integer@9294} 0"prefix0" -> {Integer@9296} 1f1 = {String[2]@9242} 0 = "prefix1"1 = "prefix0"labelProbMap = {TreeMap@9342}  size = 2"prefix0" -> {Double@9378} 0.1"prefix1" -> {Double@9380} 0.9

先回忆下混淆矩阵：

			预测值 0	预测值 1
		真实值 0	TN	FP
		真实值 1	FN	TP

针对混淆矩阵，BinaryMetricsSummary 的作用是Save the evaluation data for binary classification。函数具体计算思路是：

把 [0,1] 分成ClassificationEvaluationUtil.DETAIL_BIN_NUMBER（100000）这么多桶(bin)。所以binaryMetricsSummary的positiveBin/negativeBin分别是两个100000的数组。如果某一个 sample 为正例(positive value) 的概率是 p, 则该 sample 对应的 bin index 就是 p * 100000。如果 p 被预测为正例(positive value) ，则positiveBin[index]++，否则就是被预测为负例(negative value) ，则negativeBin[index]++。positiveBin就是 TP + FP，negativeBin就是 TN + FN。
所以这里会遍历输入，如果某一个输入（以"prefix1", "{\"prefix1\": 0.9, \"prefix0\": 0.1}"为例），0.9 是prefix1(正例) 的概率，0.1 是为prefix0(负例) 的概率。
- 既然这个算法选择了 prefix1(正例) ，所以就说明此算法是判别成 positive 的，所以在 positiveBin 的 90000 处 + 1。
- 假设这个算法选择了 prefix0(负例) ，则说明此算法是判别成 negative 的，所以应该在 negativeBin 的 90000 处 + 1。

具体对应我们示例代码的5个采样，分类如下：

Row.of("prefix1", "{\"prefix1\": 0.9, \"prefix0\": 0.1}"),  positiveBin 90000处+1
Row.of("prefix1", "{\"prefix1\": 0.8, \"prefix0\": 0.2}"),  positiveBin 80000处+1
Row.of("prefix1", "{\"prefix1\": 0.7, \"prefix0\": 0.3}"),  positiveBin 70000处+1
Row.of("prefix0", "{\"prefix1\": 0.75, \"prefix0\": 0.25}"), negativeBin 75000处+1
Row.of("prefix0", "{\"prefix1\": 0.6, \"prefix0\": 0.4}")  negativeBin 60000处+1

具体代码如下

public static void updateBinaryMetricsSummary(TreeMap<String, Double> labelProbMap,String label,BinaryMetricsSummary binaryMetricsSummary) {binaryMetricsSummary.total++;binaryMetricsSummary.logLoss += extractLogloss(labelProbMap, label);double d = labelProbMap.get(binaryMetricsSummary.labels[0]);int idx = d == 1.0 ? ClassificationEvaluationUtil.DETAIL_BIN_NUMBER - 1 :(int)Math.floor(d * ClassificationEvaluationUtil.DETAIL_BIN_NUMBER);if (idx >= 0 && idx < ClassificationEvaluationUtil.DETAIL_BIN_NUMBER) {if (label.equals(binaryMetricsSummary.labels[0])) {binaryMetricsSummary.positiveBin[idx] += 1;} else if (label.equals(binaryMetricsSummary.labels[1])) {binaryMetricsSummary.negativeBin[idx] += 1;} else {.....}}
}private static double extractLogloss(TreeMap<String, Double> labelProbMap, String label) {Double prob = labelProbMap.get(label);prob = null == prob ? 0. : prob;return -Math.log(Math.max(Math.min(prob, 1 - LOG_LOSS_EPS), LOG_LOSS_EPS));
}// 变量如下
ClassificationEvaluationUtil.DETAIL_BIN_NUMBER=100000// 当 "prefix1", "{\"prefix1\": 0.9, \"prefix0\": 0.1}" 时候
labelProbMap = {TreeMap@9305}  size = 2"prefix0" -> {Double@9331} 0.1"prefix1" -> {Double@9333} 0.9d = 0.9
idx = 90000
binaryMetricsSummary = {BinaryMetricsSummary@9262} labels = {String[2]@9242} 0 = "prefix1"1 = "prefix0"total = 1positiveBin = {long[100000]@9263}  // 90000处+1negativeBin = {long[100000]@9264} logLoss = 0.10536051565782628// 当 "prefix0", "{\"prefix1\": 0.6, \"prefix0\": 0.4}" 时候
labelProbMap = {TreeMap@9514}  size = 2"prefix0" -> {Double@9546} 0.4"prefix1" -> {Double@9547} 0.6d = 0.6
idx = 60000    binaryMetricsSummary = {BinaryMetricsSummary@9262} labels = {String[2]@9242} 0 = "prefix1"1 = "prefix0"total = 2positiveBin = {long[100000]@9263}  negativeBin = {long[100000]@9264} // 60000处+1logLoss = 1.0216512475319812

3.2.2 ReduceBaseMetrics

ReduceBaseMetrics作用是把局部计算的 BaseMetrics 聚合起来。

DataSet<BaseMetricsSummary> metrics = res.reduce(new EvaluationUtil.ReduceBaseMetrics());

ReduceBaseMetrics如下

public static class ReduceBaseMetrics implements ReduceFunction<BaseMetricsSummary> {@Overridepublic BaseMetricsSummary reduce(BaseMetricsSummary t1, BaseMetricsSummary t2) throws Exception {return null == t1 ? t2 : t1.merge(t2);}
}

具体计算是在BinaryMetricsSummary.merge，其作用就是Merge the bins, and add the logLoss。

@Override
public BinaryMetricsSummary merge(BinaryMetricsSummary binaryClassMetrics) {for (int i = 0; i < this.positiveBin.length; i++) {this.positiveBin[i] += binaryClassMetrics.positiveBin[i];}for (int i = 0; i < this.negativeBin.length; i++) {this.negativeBin[i] += binaryClassMetrics.negativeBin[i];}this.logLoss += binaryClassMetrics.logLoss;this.total += binaryClassMetrics.total;return this;
}// 程序变量是
this = {BinaryMetricsSummary@9316} labels = {String[2]@9322} 0 = "prefix1"1 = "prefix0"total = 2positiveBin = {long[100000]@9320} negativeBin = {long[100000]@9323} logLoss = 1.742969305058623

3.2.3 SaveDataAsParams

this.setOutput(metrics.flatMap(new EvaluationUtil.SaveDataAsParams()),new String[] {DATA_OUTPUT}, new TypeInformation[] {Types.STRING});

当归并所有BaseMetrics之后，得到了total BaseMetrics，计算indexes，存入到params。

public static class SaveDataAsParams implements FlatMapFunction<BaseMetricsSummary, Row> {@Overridepublic void flatMap(BaseMetricsSummary t, Collector<Row> collector) throws Exception {collector.collect(t.toMetrics().serialize());}
}

实际业务在BinaryMetricsSummary.toMetrics中完成，即基于bin的信息计算，得到confusionMatrix array, threshold array, rocCurve/recallPrecisionCurve/LiftChart等等，然后存储到params。

public BinaryClassMetrics toMetrics() {Params params = new Params();// 生成若干曲线，比如rocCurve/recallPrecisionCurve/LiftChartTuple3<ConfusionMatrix[], double[], EvaluationCurve[]> matrixThreCurve =extractMatrixThreCurve(positiveBin, negativeBin, total);// 依据曲线内容计算并且存储 AUC/PRC/KSsetCurveAreaParams(params, matrixThreCurve.f2);// 对生成的rocCurve/recallPrecisionCurve/LiftChart输出进行抽样Tuple3<ConfusionMatrix[], double[], EvaluationCurve[]> sampledMatrixThreCurve = sample(PROBABILITY_INTERVAL, matrixThreCurve);// 依据抽样后的输出存储 RocCurve/RecallPrecisionCurve/LiftCharsetCurvePointsParams(params, sampledMatrixThreCurve);ConfusionMatrix[] matrices = sampledMatrixThreCurve.f0;// 存储正例样本的度量指标setComputationsArrayParams(params, sampledMatrixThreCurve.f1, sampledMatrixThreCurve.f0);// 存储LoglosssetLoglossParams(params, logLoss, total);// Pick the middle point where threshold is 0.5.int middleIndex = getMiddleThresholdIndex(sampledMatrixThreCurve.f1);  setMiddleThreParams(params, matrices[middleIndex], labels);return new BinaryClassMetrics(params);
}

extractMatrixThreCurve是全文重点。这里是 Extract the bins who are not empty, keep the middle threshold 0.5，然后初始化了 RocCurve, Recall-Precision Curve and Lift Curve，计算出ConfusionMatrix array（混淆矩阵）, threshold array, rocCurve/recallPrecisionCurve/LiftChart.。

/*** Extract the bins who are not empty, keep the middle threshold 0.5.* Initialize the RocCurve, Recall-Precision Curve and Lift Curve.* RocCurve: (FPR, TPR), starts with (0,0). Recall-Precision Curve: (recall, precision), starts with (0, p), p is the precision with the lowest. LiftChart: (TP+FP/total, TP), starts with (0,0). confusion matrix = [TP FP][FN * TN].** @param positiveBin positiveBins.* @param negativeBin negativeBins.* @param total       sample number* @return ConfusionMatrix array, threshold array, rocCurve/recallPrecisionCurve/LiftChart.*/
static Tuple3<ConfusionMatrix[], double[], EvaluationCurve[]> extractMatrixThreCurve(long[] positiveBin, long[] negativeBin, long total) {ArrayList<Integer> effectiveIndices = new ArrayList<>();long totalTrue = 0, totalFalse = 0;// 计算totalTrue，totalFalse，effectiveIndicesfor (int i = 0; i < ClassificationEvaluationUtil.DETAIL_BIN_NUMBER; i++) {if (0L != positiveBin[i] || 0L != negativeBin[i]|| i == ClassificationEvaluationUtil.DETAIL_BIN_NUMBER / 2) {effectiveIndices.add(i);totalTrue += positiveBin[i];totalFalse += negativeBin[i];}}// 以我们例子，得到
effectiveIndices = {ArrayList@9273}  size = 60 = {Integer@9277} 50000 //这里加入了中间点1 = {Integer@9278} 600002 = {Integer@9279} 700003 = {Integer@9280} 750004 = {Integer@9281} 800005 = {Integer@9282} 90000
totalTrue = 3
totalFalse = 2// 继续初始化，生成若干curvefinal int length = effectiveIndices.size();final int newLen = length + 1;final double m = 1.0 / ClassificationEvaluationUtil.DETAIL_BIN_NUMBER;EvaluationCurvePoint[] rocCurve = new EvaluationCurvePoint[newLen];EvaluationCurvePoint[] recallPrecisionCurve = new EvaluationCurvePoint[newLen];EvaluationCurvePoint[] liftChart = new EvaluationCurvePoint[newLen];ConfusionMatrix[] data = new ConfusionMatrix[newLen];double[] threshold = new double[newLen];long curTrue = 0;long curFalse = 0;// 以我们例子，得到
length = 6
newLen = 7
m = 1.0E-5// 计算, 其中rocCurve，recallPrecisionCurve，liftChart 都可以从代码中看出for (int i = 1; i < newLen; i++) {int index = effectiveIndices.get(length - i);curTrue += positiveBin[index];curFalse += negativeBin[index];threshold[i] = index * m;// 计算出混淆矩阵data[i] = new ConfusionMatrix(new long[][] {{curTrue, curFalse}, {totalTrue - curTrue, totalFalse - curFalse}});double tpr = (totalTrue == 0 ? 1.0 : 1.0 * curTrue / totalTrue);// 比如当 90000 这点，得到 curTrue = 1 curFalse = 0 i = 1 index = 90000 tpr = 0.3333333333333333。totalTrue = 3 totalFalse = 2， // 我们也知道，TPR = TP / (TP + FN) ，所以可以计算 tpr = 1 / 3   rocCurve[i] = new EvaluationCurvePoint(totalFalse == 0 ? 1.0 : 1.0 * curFalse / totalFalse, tpr, threshold[i]);recallPrecisionCurve[i] = new EvaluationCurvePoint(tpr, curTrue + curTrue == 0 ? 1.0 : 1.0 * curTrue / (curTrue + curFalse), threshold[i]);liftChart[i] = new EvaluationCurvePoint(1.0 * (curTrue + curFalse) / total, curTrue, threshold[i]);}// 以我们例子，得到
curTrue = 3
curFalse = 2threshold = {double[7]@9349} 0 = 0.01 = 0.92 = 0.83 = 0.75000000000000014 = 0.70000000000000015 = 0.60000000000000016 = 0.5  rocCurve = {EvaluationCurvePoint[7]@9315} 1 = {EvaluationCurvePoint@9440} x = 0.0y = 0.3333333333333333p = 0.92 = {EvaluationCurvePoint@9448} x = 0.0y = 0.6666666666666666p = 0.83 = {EvaluationCurvePoint@9449} x = 0.5y = 0.6666666666666666p = 0.75000000000000014 = {EvaluationCurvePoint@9450} x = 0.5y = 1.0p = 0.70000000000000015 = {EvaluationCurvePoint@9451} x = 1.0y = 1.0p = 0.60000000000000016 = {EvaluationCurvePoint@9452} x = 1.0y = 1.0p = 0.5recallPrecisionCurve = {EvaluationCurvePoint[7]@9320} 1 = {EvaluationCurvePoint@9444} x = 0.3333333333333333y = 1.0p = 0.92 = {EvaluationCurvePoint@9453} x = 0.6666666666666666y = 1.0p = 0.83 = {EvaluationCurvePoint@9454} x = 0.6666666666666666y = 0.6666666666666666p = 0.75000000000000014 = {EvaluationCurvePoint@9455} x = 1.0y = 0.75p = 0.70000000000000015 = {EvaluationCurvePoint@9456} x = 1.0y = 0.6p = 0.60000000000000016 = {EvaluationCurvePoint@9457} x = 1.0y = 0.6p = 0.5liftChart = {EvaluationCurvePoint[7]@9325} 1 = {EvaluationCurvePoint@9458} x = 0.2y = 1.0p = 0.92 = {EvaluationCurvePoint@9459} x = 0.4y = 2.0p = 0.83 = {EvaluationCurvePoint@9460} x = 0.6y = 2.0p = 0.75000000000000014 = {EvaluationCurvePoint@9461} x = 0.8y = 3.0p = 0.70000000000000015 = {EvaluationCurvePoint@9462} x = 1.0y = 3.0p = 0.60000000000000016 = {EvaluationCurvePoint@9463} x = 1.0y = 3.0p = 0.5data = {ConfusionMatrix[7]@9339} 0 = {ConfusionMatrix@9486} longMatrix = {LongMatrix@9488} matrix = {long[2][]@9491} 0 = {long[2]@9492} 0 = 01 = 01 = {long[2]@9493} 0 = 31 = 2rowNum = 2colNum = 2labelCnt = 2total = 5actualLabelFrequency = {long[2]@9489} 0 = 31 = 2predictLabelFrequency = {long[2]@9490} 0 = 01 = 5tpCount = 2.0tnCount = 2.0fpCount = 3.0fnCount = 3.01 = {ConfusionMatrix@9435} longMatrix = {LongMatrix@9469} matrix = {long[2][]@9472} 0 = {long[2]@9474} 0 = 11 = 01 = {long[2]@9475} 0 = 21 = 2rowNum = 2colNum = 2labelCnt = 2total = 5actualLabelFrequency = {long[2]@9470} 0 = 31 = 2predictLabelFrequency = {long[2]@9471} 0 = 11 = 4tpCount = 3.0tnCount = 3.0fpCount = 2.0fnCount = 2.0......  threshold[0] = 1.0;data[0] = new ConfusionMatrix(new long[][] {{0, 0}, {totalTrue, totalFalse}});rocCurve[0] = new EvaluationCurvePoint(0, 0, threshold[0]);recallPrecisionCurve[0] = new EvaluationCurvePoint(0, recallPrecisionCurve[1].getY(), threshold[0]);liftChart[0] = new EvaluationCurvePoint(0, 0, threshold[0]);return Tuple3.of(data, threshold, new EvaluationCurve[] {new EvaluationCurve(rocCurve),new EvaluationCurve(recallPrecisionCurve), new EvaluationCurve(liftChart)});
}

3.2.4 计算混淆矩阵

这里再给大家讲讲混淆矩阵如何计算，这里思路比较绕。

3.2.4.1 原始矩阵

调用之处是：

// 调用之处
data[i] = new ConfusionMatrix(new long[][] {{curTrue, curFalse}, {totalTrue - curTrue, totalFalse - curFalse}});
// 调用时候各种赋值
i = 1
index = 90000
totalTrue = 3
totalFalse = 2
curTrue = 1
curFalse = 0

得到原始矩阵，以下都有cur，说明只针对当前点来说。


curTrue = 1	curFalse = 0
totalTrue - curTrue = 2	totalFalse - curFalse = 2

3.2.4.2 计算标签

后续ConfusionMatrix计算中，由此可以得到

actualLabelFrequency = longMatrix.getColSums();
predictLabelFrequency = longMatrix.getRowSums();actualLabelFrequency = {long[2]@9322} 0 = 31 = 2
predictLabelFrequency = {long[2]@9323} 0 = 11 = 4

可以看出来，Alink算法认为：每列的sum和实际标签有关；每行sum和预测标签有关。

得到新矩阵如下

			predictLabelFrequency
	curTrue = 1	curFalse = 0	1 = curTrue + curFalse
	totalTrue - curTrue = 2	totalFalse - curFalse = 2	4 = total - curTrue - curFalse
actualLabelFrequency	3 = totalTrue	2 = totalFalse

后续计算将要基于这些来计算：

计算中就用到longMatrix 对角线上的数据，即longMatrix(0)(0)和 longMatrix(1)(1)。一定要注意，这里考虑的都是 当前状态 (画重点强调)。

longMatrix(0)(0) ：curTrue

longMatrix(1)(1) ：totalFalse - curFalse

totalFalse ：( TN + FN )

totalTrue ：( TP + FP )

double numTrueNegative(Integer labelIndex) {// labelIndex为 0 时候，return 1 + 5 - 1 - 3 = 2;// labelIndex为 1 时候，return 2 + 5 - 4 - 2 = 1;return null == labelIndex ? tnCount : longMatrix.getValue(labelIndex, labelIndex) + total - predictLabelFrequency[labelIndex] - actualLabelFrequency[labelIndex];
}double numTruePositive(Integer labelIndex) {// labelIndex为 0 时候，return 1; 这个是 curTrue，就是真实标签是True，判别也是True。是TP// labelIndex为 1 时候，return 2; 这个是 totalFalse - curFalse，总判别错 - 当前判别错。这就意味着“本来判别错了但是当前没有发现”，所以认为在当前状态下，这也算是TPreturn null == labelIndex ? tpCount : longMatrix.getValue(labelIndex, labelIndex);
}double numFalseNegative(Integer labelIndex) {// labelIndex为 0 时候，return 3 - 1; // actualLabelFrequency[0] = totalTrue。所以return totalTrue - curTrue，即当前“全部正确”中没有“判别为正确”，这个就可以认为是“判别错了且判别为负”// labelIndex为 1 时候，return 2 - 2;   // actualLabelFrequency[1] = totalFalse。所以return totalFalse - ( totalFalse - curFalse )  = curFalsereturn null == labelIndex ? fnCount : actualLabelFrequency[labelIndex] - longMatrix.getValue(labelIndex, labelIndex);
}double numFalsePositive(Integer labelIndex) {// labelIndex为 0 时候，return 1 - 1;// predictLabelFrequency[0] = curTrue + curFalse。// 所以 return = curTrue + curFalse - curTrue = curFalse = current( TN + FN ) 这可以认为是判断错了实际是正确标签// labelIndex为 1 时候，return 4 - 2; // predictLabelFrequency[1] = total - curTrue - curFalse。// 所以 return = total - curTrue - curFalse - (totalFalse - curFalse) = totalTrue - curTrue = ( TP + FP ) - currentTP = currentFP return null == labelIndex ? fpCount : predictLabelFrequency[labelIndex] - longMatrix.getValue(labelIndex, labelIndex);
}// 最后得到
tpCount = 3.0
tnCount = 3.0
fpCount = 2.0
fnCount = 2.0

3.2.4.3 具体代码

// 具体计算
public ConfusionMatrix(LongMatrix longMatrix) {longMatrix = {LongMatrix@9297} 0 = {long[2]@9324} 0 = 11 = 01 = {long[2]@9325} 0 = 21 = 2this.longMatrix = longMatrix;labelCnt = this.longMatrix.getRowNum();// 这里就是计算actualLabelFrequency = longMatrix.getColSums();predictLabelFrequency = longMatrix.getRowSums();actualLabelFrequency = {long[2]@9322} 0 = 31 = 2
predictLabelFrequency = {long[2]@9323} 0 = 11 = 4
labelCnt = 2
total = 5  total = longMatrix.getTotal();for (int i = 0; i < labelCnt; i++) {tnCount += numTrueNegative(i);tpCount += numTruePositive(i);fnCount += numFalseNegative(i);fpCount += numFalsePositive(i);}
}

0x04 流处理

4.1 示例

Alink原有python示例代码中，Stream部分是没有输出的，因为MemSourceStreamOp没有和时间相关联，而Alink中没有提供基于时间的StreamOperator，所以只能自己仿照MemSourceBatchOp写了一个。虽然代码有些丑，但是至少可以提供输出，这样就能够调试。

4.1.1 主类

public class EvalBinaryClassExampleStream {AlgoOperator getData(boolean isBatch) {Row[] rows = new Row[]{Row.of("prefix1", "{\"prefix1\": 0.9, \"prefix0\": 0.1}")};String[] schema = new String[]{"label", "detailInput"};if (isBatch) {return new MemSourceBatchOp(rows, schema);} else {return new TimeMemSourceStreamOp(rows, schema, new EvalBinaryStreamSource());}}public static void main(String[] args) throws Exception {EvalBinaryClassExampleStream test = new EvalBinaryClassExampleStream();StreamOperator streamData = (StreamOperator) test.getData(false);StreamOperator sOp = new EvalBinaryClassStreamOp().setLabelCol("label").setPredictionDetailCol("detailInput").setTimeInterval(1).linkFrom(streamData);sOp.print();StreamOperator.execute();}
}

4.1.2 TimeMemSourceStreamOp

这个是我自己炮制的。借鉴了MemSourceStreamOp。

public final class TimeMemSourceStreamOp extends StreamOperator<TimeMemSourceStreamOp> {public TimeMemSourceStreamOp(Row[] rows, String[] colNames, EvalBinaryStrSource source) {super(null);init(source, Arrays.asList(rows), colNames);}private void init(EvalBinaryStreamSource source, List <Row> rows, String[] colNames) {Row first = rows.iterator().next();int arity = first.getArity();TypeInformation <?>[] types = new TypeInformation[arity];for (int i = 0; i < arity; ++i) {types[i] = TypeExtractor.getForObject(first.getField(i));}init(source, colNames, types);}private void init(EvalBinaryStreamSource source, String[] colNames, TypeInformation <?>[] colTypes) {DataStream <Row> dastr = MLEnvironmentFactory.get(getMLEnvironmentId()).getStreamExecutionEnvironment().addSource(source);StringBuilder sbd = new StringBuilder();sbd.append(colNames[0]);for (int i = 1; i < colNames.length; i++) {sbd.append(",").append(colNames[i]);}this.setOutput(dastr, colNames, colTypes);}@Overridepublic TimeMemSourceStreamOp linkFrom(StreamOperator<?>... inputs) {return null;}
}

4.1.3 Source

定时提供Row，加入了随机数，让概率有变化。

class EvalBinaryStreamSource extends RichSourceFunction[Row] {override def run(ctx: SourceFunction.SourceContext[Row]) = {while (true) {val rdm = Math.random() // 这里加入了随机数，让概率有变化val rows: Array[Row] = Array[Row](Row.of("prefix1", "{\"prefix1\": " + rdm + ", \"prefix0\": " + (1-rdm) + "}"),Row.of("prefix1", "{\"prefix1\": 0.8, \"prefix0\": 0.2}"),Row.of("prefix1", "{\"prefix1\": 0.7, \"prefix0\": 0.3}"),Row.of("prefix0", "{\"prefix1\": 0.75, \"prefix0\": 0.25}"),Row.of("prefix0", "{\"prefix1\": 0.6, \"prefix0\": 0.4}"))for(row <- rows) {println(s"当前值：$row")ctx.collect(row)}Thread.sleep(1000)}}override def cancel() = ???
}

4.2 BaseEvalClassStreamOp

Alink流处理类是 EvalBinaryClassStreamOp，主要工作在其基类 BaseEvalClassStreamOp，所以我们重点看后者。

public class BaseEvalClassStreamOp<T extends BaseEvalClassStreamOp<T>> extends StreamOperator<www.qunfltie.com> {@Overridepublic T linkFrom(StreamOperator<?>... inputs) {StreamOperator<?> in = checkAndGetFirst(inputs);String labelColName = this.get(MultiEvaluationStreamParams.LABEL_COL);String positiveValue = this.get(BinaryEvaluationStreamParams.POS_LABEL_VAL_STR);Integer timeInterval = this.get(MultiEvaluationStreamParams.TIME_INTERVAL);ClassificationEvaluationUtil.Type type www.letaizaixian.cn= ClassificationEvaluationUtil.judgeEvaluationType(this.getParams());DataStream<BaseMetricsSummary> statistics;switch (www.yachengyl.cn type) {case PRED_RESULT: {......}case PRED_DETAIL: {               String predDetailColName = this.get(MultiEvaluationStreamParams.PREDICTION_DETAIL_COL);// PredDetailLabel eval = new PredDetailLabel(positiveValue, binary);// 获取输入数据，重点是timeWindowAllstatistics = in.select(new String[] {labelColName, predDetailColName}).getDataStream().timeWindowAll(Time.of(timeInterval, TimeUnit.SECONDS)).apply(eval);break;}}// 把各个窗口的数据累积到 totalStatistics，注意，这里是新变量了。DataStream<BaseMetricsSummary> totalStatistics = statistics.map(new EvaluationUtil.AllDataMerge()).setParallelism(1); // 并行度设置为1// 基于两种 bins 计算&序列化，得到当前的 statisticsDataStream<Row> windowOutput = statistics.map(new EvaluationUtil.SaveDataStream(ClassificationEvaluationUtil.WINDOW.f0));// 基于bins计算&序列化，得到累积的 totalStatisticsDataStream<Row> allOutput = totalStatistics.map(new EvaluationUtil.SaveDataStream(ClassificationEvaluationUtil.ALL.f0));// "当前" 和 "累积" 做联合，最终返回DataStream<Row> union = windowOutput.union(allOutput);this.setOutput(union,new String[] {ClassificationEvaluationUtil.STATISTICS_OUTPUT, DATA_OUTPUT},new TypeInformation[] {Types.STRING, Types.STRING});return (T)this;}
}

具体业务是：

PredDetailLabel 会进行去重标签名字和累积计算混淆矩阵所需数据
- buildLabelIndexLabelArray 去重 "labels名字"，然后给每一个label一个ID，最后结果是一个<labels, ID>Map。
- getDetailStatistics 遍历 rows 数据，提取每一个item（比如 "prefix1,{"prefix1": 0.8, "prefix0": 0.2}"），然后通过updateBinaryMetricsSummary累积计算混淆矩阵所需数据。
根据标签从Window中获取数据 statistics = in.select().getDataStream().timeWindowAll() .apply(eval);
EvaluationUtil.AllDataMerge 把各个窗口的数据累积到 totalStatistics 。
得到windowOutput -------- EvaluationUtil.SaveDataStream，对"当前数据statistics"做处理。实际业务在BinaryMetricsSummary.toMetrics，即基于bin的信息计算，然后存储到params，并序列化返回Row。
- extractMatrixThreCurve函数取出非空的bins，据此计算出ConfusionMatrix array（混淆矩阵）, threshold array, rocCurve/recallPrecisionCurve/LiftChart.
- 依据曲线内容计算并且存储 AUC/PRC/KS
- 对生成的rocCurve/recallPrecisionCurve/LiftChart输出进行抽样
- 依据抽样后的输出存储 RocCurve/RecallPrecisionCurve/LiftChar
- 存储正例样本的度量指标
- 存储Logloss
- Pick the middle point where threshold is 0.5.
得到allOutput -------- EvaluationUtil.SaveDataStream , 对"累积数据totalStatistics"做处理。
- 详细处理流程同windowOutput。
windowOutput 和 allOutput 做联合。最终返回 DataStream union = windowOutput.union(allOutput);

4.2.1 PredDetailLabel

static class PredDetailLabel implements AllWindowFunction<Row, BaseMetricsSummary, TimeWindow> {@Overridepublic void apply( www.baihuayllpt.cn TimeWindow timeWindow, Iterable<Row> rows, Collector<BaseMetricsSummary> www.93ylzc.cn collector) throws Exception {HashSet<String> labels = new HashSet<>(www.lcx528.cn);// 首先还是获取 labels 名字for (Row row www.tianshun178.cn: rows) {if (www.hongniuyLe.cn EvaluationUtil.checkRowFieldNotNull(row)) {labels.addAll(EvaluationUtil.extractLabelProbMap(row).keySet());labels.add(row.getField(0).toString());}}
labels = {www.tongyayule.com HashSet@9757}  size www.yingchenyl.com= 20 = "prefix1"1 = "prefix0"   // 之前介绍过，buildLabelIndexLabelArray 去重 "labels名字"，然后给每一个label一个ID，最后结果是一个<labels, ID>Map。// getDetailStatistics 遍历 rows 数据，累积计算混淆矩阵所需数据（ "TP + FN"  /  "TN + FP"）。if (labels.size() > 0) {collector.collect(getDetailStatistics(rows, binary, buildLabelIndexLabelArray(labels, binary, positiveValue)));}}
}

4.2.2 AllDataMerge

EvaluationUtil.AllDataMerge 把各个窗口的数据累积

/*** Merge data from different windows.*/
public static class AllDataMerge implements MapFunction<BaseMetricsSummary, BaseMetricsSummary> {private BaseMetricsSummary statistics;@Overridepublic BaseMetricsSummary map(BaseMetricsSummary value) {this.statistics = (null == this.statistics ? value : this.statistics.merge(value));return this.statistics;}
}

4.2.3 SaveDataStream

SaveDataStream具体调用的函数之前批处理介绍过，实际业务在BinaryMetricsSummary.toMetrics，即基于bin的信息计算，存储到params。

这里与批处理不同的是直接就把"构建出的度量信息“返回给用户。

public static class SaveDataStream implements MapFunction<BaseMetricsSummary, Row> {@Override www.tengyao3zc.cn  www.anxinzc5.cnpublic Row map(BaseMetricsSummary baseMetricsSummary) throws Exception {BaseMetricsSummary metrics = baseMetricsSummary;BaseMetrics baseMetrics = metrics.toMetrics();Row row =www.tianhuoyl.cn baseMetrics.serialize();return Row.of(funtionName, www.yixingylzc.cn row.getField(0));}
}// 最后得到的 row 其实就是最终返回给用户的度量信息
row = {Row@10008} "{"PRC":"0.9164636268708667","SensitivityArray":"[0.38461538461538464,0.6923076923076923,0.6923076923076923,1.0,1.0,1.0]","ConfusionMatrix":"[[13,8],[0,0]]","MacroRecall":"0.5","MacroSpecificity":"0.5","FalsePositiveRateArray":"[0.0,0.0,0.5,0.5,1.0,1.0]"www.jintianxuesha.com ...... 还有很多其他的

4.2.4 Union

DataStream<Row> windowOutput = statistics.map(new EvaluationUtil.SaveDataStream(ClassificationEvaluationUtil.WINDOW.f0));
DataStream<Row> allOutput = totalStatistics.map(new EvaluationUtil.SaveDataStream(ClassificationEvaluationUtil.ALL.f0));DataStream<Row> union = windowOutput.union(allOutput);

最后返回两种统计数据

4.2.4.1 allOutput

all|{"PRC":"0.7341146115890359","SensitivityArray":"[0.3333333333333333,0.3333333333333333,0.6666666666666666,0.7333333333333333,0.8,0.8,0.8666666666666667,0.8666666666666667,0.9333333333333333,1.0]","ConfusionMatrix":"[[13,10],[2,0]]","MacroRecall":"0.43333333333333335","MacroSpecificity":"0.43333333333333335","FalsePositiveRateArray":"[0.0,0.5,0.5,0.5,0.5,1.0,1.0,1.0,1.0,1.0]","TruePositiveRateArray":"[0.3333333333333333,0.3333333333333333,0.6666666666666666,0.7333333333333333,0.8,0.8,0.8666666666666667,0.8666666666666667,0.9333333333333333,1.0]","AUC":"0.5666666666666667","MacroAccuracy":"0.52", ......

4.2.4.2 windowOutput

window|{"PRC":"0.7638888888888888","SensitivityArray":"[0.3333333333333333,0.3333333333333333,0.6666666666666666,1.0,1.0,1.0]"