From 45ffb86387fdc83f64a94b2814dc07642003d02b Mon Sep 17 00:00:00 2001 From: Alexandre Perez-Lebel Date: Thu, 1 Dec 2022 21:42:24 +0100 Subject: [PATCH 1/7] Add base post --- _posts/2022-11-30-predict-proba.md | 32 ++++++++++++++++++ .../images/author_images/alexandre_perez.jpeg | Bin 0 -> 18896 bytes .../posts_images/uncertainty_ahead.jpeg | Bin 0 -> 218328 bytes 3 files changed, 32 insertions(+) create mode 100644 _posts/2022-11-30-predict-proba.md create mode 100644 assets/images/author_images/alexandre_perez.jpeg create mode 100644 assets/images/posts_images/uncertainty_ahead.jpeg diff --git a/_posts/2022-11-30-predict-proba.md b/_posts/2022-11-30-predict-proba.md new file mode 100644 index 0000000..06eeb37 --- /dev/null +++ b/_posts/2022-11-30-predict-proba.md @@ -0,0 +1,32 @@ +--- +#### Blog Post Template #### + +#### Post Information #### +title: "What to expect from `predict_proba`" +date: December 1, 2022 + +#### Post Category and Tags #### +# Format in titlecase without dashes (Ex. "Open Source" instead of "open-source") +categories: + - Updates +tags: + - Machine Learning + +#### Featured Image #### +featured-image: uncertainty_ahead.jpeg + +#### Author Info #### +# Can accomodate multiple authors +# Add SQUARE Author Image to /assets/images/author_images/ folder +postauthors: + - name: Alexandre Perez-Lebel + website: https://perez-lebel.com + email: alexandre.perez@inria.fr + image: alexandre_perez.jpeg +--- +
+ + {% include postauthor.html %} +
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2001 From: Alexandre Perez-Lebel Date: Fri, 2 Dec 2022 15:15:51 +0100 Subject: [PATCH 2/7] Add base --- _posts/2022-11-30-predict-proba.md | 34 ++++++++++++++++++++++++++++++ 1 file changed, 34 insertions(+) diff --git a/_posts/2022-11-30-predict-proba.md b/_posts/2022-11-30-predict-proba.md index 06eeb37..709d8fd 100644 --- a/_posts/2022-11-30-predict-proba.md +++ b/_posts/2022-11-30-predict-proba.md @@ -30,3 +30,37 @@ postauthors: Enter blog content here. + +In classification, many situations call for estimated probabilities beyond class labels. For example in decision making, cost sensitive learning or causal inference. +These probability estimates are typically accessible from the `predict_proba` method of scikit-learn's classifiers. + +However, the quality of the estimated probabilities must be validated to provide trustworthiness, ensure fairness and robustness to operating conditions. +To be reliable, the estimated probabilities must be close to the true underlying posterior probabilities of the classes `P(Y=1|X)`. + +Similarly to validating a discriminant classifier through accuracy or ROC curves, tools have been developed to evaluate a probabilistic classifier. +Calibration is one of them [1-4]. Calibration is used as a proxy to evaluate the closeness of the estimated probabilities to the true ones. Many recalibration techniques have been developed to improve the estimated probabilities (see [scikit-learn's user guide on calibration](https://scikit-learn.org/stable/modules/calibration.html)). + +It is important to highlight that calibration only captures part of the error on the estimated probabilities. The remaining term is the grouping loss [5]. Together, the calibration and grouping losses fully characterize the error on the estimated probabilities. +However, estimating the grouping loss is a harder problem than calibration as its estimation involves directly the true probabilities. Recent work have focused on approximating the grouping loss through local estimations of the true probabilities [6]. + + +When working with scikit-learn's classifiers, users must be equally as cautious on results obtained from `predict_proba` as on results from `predict`. Both output estimated quantities (probabilities and labels respectively) with no guarantees on their quality. In both case, model's quality must be assessed with appropriate metrics: expected calibration error, brier score, accuracy, AUC. + + +## References + + + +

    +
  1. Platt, J. C. (1999). Probabilistic Outputs for Support Vector Machines and Comparisons to Regularized Likelihood Methods. ADVANCES IN LARGE MARGIN CLASSIFIERS, 61--74.
  2. +
  3. Zadrozny, B., & Elkan, C. (2001). Obtaining calibrated probability estimates from decision trees and naive bayesian classifiers. Icml, 1, 609–616.
  4. +
  5. Guo, C., Pleiss, G., Sun, Y., & Weinberger, K. Q. (2017). On calibration of modern neural networks. International Conference on Machine Learning, 1321–1330.
  6. +
  7. Minderer, M., Djolonga, J., Romijnders, R., Hubis, F., Zhai, X., Houlsby, N., Tran, D., & Lucic, M. (2021). Revisiting the calibration of modern neural networks. Advances in Neural Information Processing Systems, 34.
  8. +
  9. Kull, M., & Flach, P. (2015). Novel decompositions of proper scoring rules for classification: Score adjustment as precursor to calibration. Joint European Conference on Machine Learning and Knowledge Discovery in Databases, 68–85.
  10. +
  11. Perez-Lebel, A., Le Morvan, M., & Varoquaux, G. (2022). Beyond calibration: estimating the grouping loss of modern neural networks. arXiv. https://doi.org/10.48550/arXiv.2210.16315
  12. +
+ From c05db58485ffca7633ce407e010cf704a78f5361 Mon Sep 17 00:00:00 2001 From: Alexandre Perez-Lebel Date: Fri, 2 Dec 2022 15:17:00 +0100 Subject: [PATCH 3/7] Rename file --- .../{2022-11-30-predict-proba.md => 2022-12-01-predict-proba.md} | 0 1 file changed, 0 insertions(+), 0 deletions(-) rename _posts/{2022-11-30-predict-proba.md => 2022-12-01-predict-proba.md} (100%) diff --git a/_posts/2022-11-30-predict-proba.md b/_posts/2022-12-01-predict-proba.md similarity index 100% rename from _posts/2022-11-30-predict-proba.md rename to _posts/2022-12-01-predict-proba.md From ad61f8ddc0f07d8d77a205b0050d1d8ee0669670 Mon Sep 17 00:00:00 2001 From: Alexandre Perez-Lebel Date: Fri, 2 Dec 2022 15:25:57 +0100 Subject: [PATCH 4/7] Fix --- _posts/2022-12-01-predict-proba.md | 2 -- 1 file changed, 2 deletions(-) diff --git a/_posts/2022-12-01-predict-proba.md b/_posts/2022-12-01-predict-proba.md index 709d8fd..ed34104 100644 --- a/_posts/2022-12-01-predict-proba.md +++ b/_posts/2022-12-01-predict-proba.md @@ -29,8 +29,6 @@ postauthors: {% include postauthor.html %} -Enter blog content here. - In classification, many situations call for estimated probabilities beyond class labels. For example in decision making, cost sensitive learning or causal inference. These probability estimates are typically accessible from the `predict_proba` method of scikit-learn's classifiers. From 0e31831d3cb2f6a05e4cabcb0f602c715a7278dd Mon Sep 17 00:00:00 2001 From: Alexandre Perez-Lebel Date: Fri, 2 Dec 2022 15:34:36 +0100 Subject: [PATCH 5/7] Credit line --- _posts/2022-12-01-predict-proba.md | 3 +++ 1 file changed, 3 insertions(+) diff --git a/_posts/2022-12-01-predict-proba.md b/_posts/2022-12-01-predict-proba.md index ed34104..2e263c1 100644 --- a/_posts/2022-12-01-predict-proba.md +++ b/_posts/2022-12-01-predict-proba.md @@ -26,6 +26,9 @@ postauthors: ---
+
+ Photo Credit: Credit Link Text +
{% include postauthor.html %}
From 597b0888cbe95b2e202685f46294495d378d0421 Mon Sep 17 00:00:00 2001 From: Alexandre Perez-Lebel Date: Fri, 2 Dec 2022 15:37:17 +0100 Subject: [PATCH 6/7] Typo --- _posts/2022-12-01-predict-proba.md | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/_posts/2022-12-01-predict-proba.md b/_posts/2022-12-01-predict-proba.md index 2e263c1..f45c732 100644 --- a/_posts/2022-12-01-predict-proba.md +++ b/_posts/2022-12-01-predict-proba.md @@ -45,7 +45,7 @@ It is important to highlight that calibration only captures part of the error on However, estimating the grouping loss is a harder problem than calibration as its estimation involves directly the true probabilities. Recent work have focused on approximating the grouping loss through local estimations of the true probabilities [6]. -When working with scikit-learn's classifiers, users must be equally as cautious on results obtained from `predict_proba` as on results from `predict`. Both output estimated quantities (probabilities and labels respectively) with no guarantees on their quality. In both case, model's quality must be assessed with appropriate metrics: expected calibration error, brier score, accuracy, AUC. +When working with scikit-learn's classifiers, users must be equally as cautious on results obtained from `predict_proba` as on results from `predict`. Both output estimated quantities (probabilities and labels respectively) with no guarantees on their quality. In both cases, model's quality must be assessed with appropriate metrics: expected calibration error, brier score, accuracy, AUC. ## References From e600bc139da71f761169419fce0cac37b4b97990 Mon Sep 17 00:00:00 2001 From: Alexandre Perez-Lebel Date: Fri, 2 Dec 2022 17:07:17 +0100 Subject: [PATCH 7/7] Update --- _posts/2022-12-01-predict-proba.md | 18 +++++++++--------- assets/images/posts_images/sorting.png | Bin 0 -> 548816 bytes 2 files changed, 9 insertions(+), 9 deletions(-) create mode 100644 assets/images/posts_images/sorting.png diff --git a/_posts/2022-12-01-predict-proba.md b/_posts/2022-12-01-predict-proba.md index f45c732..f4e7edc 100644 --- a/_posts/2022-12-01-predict-proba.md +++ b/_posts/2022-12-01-predict-proba.md @@ -2,6 +2,7 @@ #### Blog Post Template #### #### Post Information #### +# title: "What we should and should not expect from `predict_proba`" title: "What to expect from `predict_proba`" date: December 1, 2022 @@ -13,7 +14,7 @@ tags: - Machine Learning #### Featured Image #### -featured-image: uncertainty_ahead.jpeg +featured-image: sorting.png #### Author Info #### # Can accomodate multiple authors @@ -23,12 +24,10 @@ postauthors: website: https://perez-lebel.com email: alexandre.perez@inria.fr image: alexandre_perez.jpeg +usemathjax: true ---
- -
- Photo Credit: Credit Link Text -
+ {% include postauthor.html %}
@@ -39,14 +38,15 @@ However, the quality of the estimated probabilities must be validated to provide To be reliable, the estimated probabilities must be close to the true underlying posterior probabilities of the classes `P(Y=1|X)`. Similarly to validating a discriminant classifier through accuracy or ROC curves, tools have been developed to evaluate a probabilistic classifier. -Calibration is one of them [1-4]. Calibration is used as a proxy to evaluate the closeness of the estimated probabilities to the true ones. Many recalibration techniques have been developed to improve the estimated probabilities (see [scikit-learn's user guide on calibration](https://scikit-learn.org/stable/modules/calibration.html)). +Calibration is one of them [1-4]. Calibration is used as a proxy to evaluate the closeness of the estimated probabilities to the true ones. Many recalibration techniques have been developed to improve the estimated probabilities (see [scikit-learn's user guide on calibration](https://scikit-learn.org/stable/modules/calibration.html)). Estimated probabilities of a calibrated classifier can be interpreted as probability of correctness on population of same estimated probability, but not as the true posterior class probability. -It is important to highlight that calibration only captures part of the error on the estimated probabilities. The remaining term is the grouping loss [5]. Together, the calibration and grouping losses fully characterize the error on the estimated probabilities. -However, estimating the grouping loss is a harder problem than calibration as its estimation involves directly the true probabilities. Recent work have focused on approximating the grouping loss through local estimations of the true probabilities [6]. +Indeed, it is important to highlight that calibration only captures part of the error on the estimated probabilities. The remaining term is the grouping loss [5]. Together, the calibration and grouping losses fully characterize the error on the estimated probabilities, the epistemic loss. +$$\text{Epistemic loss} = \text{Calibration loss} + \text{Grouping loss}$$ -When working with scikit-learn's classifiers, users must be equally as cautious on results obtained from `predict_proba` as on results from `predict`. Both output estimated quantities (probabilities and labels respectively) with no guarantees on their quality. In both cases, model's quality must be assessed with appropriate metrics: expected calibration error, brier score, accuracy, AUC. +However, estimating the grouping loss is a harder problem than calibration as its estimation involves directly the true probabilities. Recent work have focused on approximating the grouping loss through local estimations of the true probabilities [6]. +When working with scikit-learn's classifiers, users must be equally as cautious on results obtained from `predict_proba` as on results from `predict`. Both output estimated quantities (probabilities and labels respectively) with no prior guarantees on their quality. In both cases, model's quality must be assessed with appropriate metrics: expected calibration error, brier score, accuracy, AUC. ## References diff --git a/assets/images/posts_images/sorting.png b/assets/images/posts_images/sorting.png new file mode 100644 index 0000000000000000000000000000000000000000..ec7e0ce73c5f08cb89a0e65669ac28566ce089a3 GIT binary patch literal 548816 zcmZr&2|Sc*+kdK4+R!c$Nu@%{E^8?&p|WSs8ZpYgjF~o4Mc_(uq`1U|x(5XAX3f()A=$k{gt!sZZ>cU=a2vFVnI z@&$wf|05K}y#k+Xak!-Ch#>2A(f`BCi!u;o!vzmbU8ftSu7@1%VJvUou{h-9?qG4q z&CUTqF8S4Jx2K1n-tN_`L*9Moa&V91W}oaja$0nE5cBnSg6J9msb|M^Y!lbo8S4?p``ylU1(&?MZdK{E=)<~?una6Z_mDe(DFs; z#}_{3ioKptvJiUGYu%z%T+x(<<)r(Db+1kGdnMa-v?rq*aZuW%d zYQgs>n1PdekE~9Mz7EsBlD(IL*yYHnd*My(2q~yH3+LP(A zJo$U`?+-^^jMkkke~dGEXnd^0M*Ts)q|(VNGwW`x$A1WM`*_QYJ*xK(4{Lj6;_zr?s zZ$Fd1$UA&Tr$EX2{nJ61^*3k{r7gi-o9+yQ}DPn zGh4q)@9zp4~2IblyJ{j9~0rb@s35te!%!!Hjwej0ole^Pzq%UzqXZ0ic#kt@OyNeBE>Ud=h1Jlm|Q zf^+owP+Yc(cwV^@{rgr}uwBF77g_sX-qI^8)eh5oGiSoJb>@2{cW@Bfch=kbHJ1B4 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