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Average Precision Calculator

Get the average precision of a ranked list of predictions.

Try:
Format: score,label with label 1 (positive) or 0 (negative). A header line is fine.
Curve shown

Scores at or above the threshold are predicted positive.

Area under the ROC curve (AUC)

0.5253

An AUC of 0.525 means a randomly chosen positive gets a higher score than a randomly chosen negative 52.5% of the time (ties count half): no better than a coin flip.

Average precision
0.5615
base rate 0.45
Positives
9
Negatives
11
Best threshold
0.8
Youden J 0.131

Precision-recall curve

Confusion matrix at threshold 0.475

Actual \ PredictedPositiveNegative
Positive54
Negative56
Accuracy
0.55
Precision
0.5
Recall (TPR)
0.5556
False positive rate
0.4545
F1
0.5263
MCC
0.1005

How the numbers are computed

AUC, trapezoid rule

AUC=∑i(FPRi−FPRi−1)(TPRi+TPRi−1)2\mathrm{AUC} = \sum_i \frac{(\mathrm{FPR}_i-\mathrm{FPR}_{i-1})(\mathrm{TPR}_i+\mathrm{TPR}_{i-1})}{2}AUC=∑i​2(FPRi​−FPRi−1​)(TPRi​+TPRi−1​)​

Average precision

AP=∑n(Rn−Rn−1) Pn\mathrm{AP} = \sum_n (R_n - R_{n-1})\,P_nAP=∑n​(Rn​−Rn−1​)Pn​

Scores are sorted from high to low. Each distinct score is a threshold; tied scores move together, so a tie between a positive and a negative cuts a diagonal step and counts half.

Curve points

ThresholdFPRTPR (recall)Precision
0.900.11111
0.850.09090.11110.5
0.80.09090.22220.6667
0.750.18180.22220.5
0.70.27270.22220.4
0.660.27270.33330.5
0.620.36360.33330.4286
0.580.36360.44440.5
0.550.45450.44440.4444
0.50.45450.55560.5
0.470.54550.55560.4545
0.440.54550.66670.5
0.40.63640.66670.4615
0.350.72730.66670.4286
0.30.72730.77780.4667
0.260.81820.77780.4375
0.20.81820.88890.4706
0.150.90910.88890.4444
0.110.88890.4211
0.05110.45
  1. Tools
  2. Machine Learning
  3. ROC Curve and AUC Calculator
  4. Average Precision Calculator

About Average Precision Calculator

This average precision calculator ranks your cases by score and sums the precision at each recall step, weighted by the size of the step. It is free, needs no sign-up and runs in your browser, so nothing you enter is uploaded.

Average precision rewards a model that puts the real positives near the top of the ranking. Unlike the trapezoid AUC it does not interpolate between points, so a positive found early contributes its full precision. It is the definition used by scikit-learn's average_precision_score.

The example is a weak model whose scores only loosely follow the labels, so its average precision of 0.56 is only a little above the share of positives, which is 0.45 here.

How to use Average Precision Calculator

  1. 1Paste your data as score,label lines. A label is 1 for the positive class and 0 for the negative class; true and false also work.
  2. 2Or tap an example to load a good model, a weak model, an imbalanced set or the classic four-point example.
  3. 3Read the AUC and average precision in the result card.
  4. 4Switch between the ROC curve and the precision-recall curve.
  5. 5Move the threshold slider, or press the best-threshold button, to see the confusion matrix and metrics at that cut-off.
  6. 6Open the curve points table to see every threshold, false positive rate, true positive rate and precision.

Features

  • ROC curve with the chance diagonal, shaded area and a marker for your chosen threshold.
  • AUC by the trapezoid rule, with ties between a positive and a negative counted as half.
  • Precision-recall curve with the no-skill baseline, and average precision.
  • A threshold slider with the live confusion matrix, accuracy, precision, recall, false positive rate, F1 and MCC.
  • The best threshold by Youden's J statistic in one tap.
  • Up to 20,000 rows, with a table of the curve points.
  • A plain-English reading of what the AUC means for your model.

Average precision formula

R_n and P_n are the recall and precision at the nth threshold.

AP = sum over n of (R_n - R_n-1) x P_n

Worked examples

  • The weak-model sample, 20 cases, 9 positive → gives average precision 0.562, AUC 0.525

    Compare with the base rate of 0.45, which is what a random ranking would give.

Privacy: how it works

  • Your scores and labels are processed by code running in your browser tab. They are never sent to Ulkaa or anyone else.

Tips

  • Scores need not be probabilities. Any number where higher means more likely positive works, because only the ranking matters.
  • The AUC depends only on the order of the scores. Multiplying all scores by a constant changes nothing.
  • Tied scores are handled as one step. A tie between a positive and a negative cuts a diagonal and counts half.
  • Both classes must appear in the data, or the rates are undefined and the tool asks for more.

Frequently asked questions

Is it really free?

Yes. There is no price, no trial and no credit card. Ulkaa Tool does the work with your own device, so there is no server bill to pass on to you.

Do I need an account?

No. There is no sign-up and no login. Open the page and use it. An Ulkaa account is not needed for anything on this tool.

Does it run in my browser?

Yes. Your scores and labels are processed by code running in your browser tab, on your own device.

Is my data uploaded?

No. Your scores and labels are never sent to Ulkaa or to anyone else. You can check this yourself by watching the Network tab in your browser developer tools while you use the tool.

What is the difference between AP and AUC?

AUC is the area under the ROC curve and ignores class balance. Average precision is the area under the precision-recall curve and is sensitive to how rare the positives are.

Is average precision the same as mAP?

No. Mean average precision (mAP) is the average of AP over several classes or queries. This tool computes the AP of one ranked list.

More ROC Curve and AUC Calculator pages

  • ROC Curve and AUC CalculatorPaste model scores and true labels to draw the ROC curve, find the AUC and explore thresholds.
  • ROC Curve CalculatorPaste scores and labels to plot the ROC curve and move along it with a threshold slider.
  • AUC CalculatorPaste scores and labels and get the area under the ROC curve.
  • Precision-Recall Curve CalculatorSee precision against recall for every threshold, and compare it with the no-skill line.
  • Optimal Classification Threshold FinderFind the cut-off that best balances true positives and false positives.
  • ROC AUC for Imbalanced DataCheck what a ROC AUC means when only a few cases are positive.

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