From 7040f398ed3adb4942543c2da7aec4738a8de0a1 Mon Sep 17 00:00:00 2001 From: rasbt Date: Mon, 9 Nov 2015 01:22:05 -0500 Subject: [PATCH] naive bayes boundary --- README.md | 1 + faq/README.md | 1 + faq/naive-bayes-boundary.md | 13 +++++++++++++ faq/naive-bayes-boundary/gaussian_1.png | Bin 0 -> 67877 bytes faq/naive-bayes-boundary/gaussian_2.png | Bin 0 -> 134289 bytes 5 files changed, 15 insertions(+) create mode 100644 faq/naive-bayes-boundary.md create mode 100644 faq/naive-bayes-boundary/gaussian_1.png create mode 100644 faq/naive-bayes-boundary/gaussian_2.png diff --git a/README.md b/README.md index 6b77d775..619c46ea 100644 --- a/README.md +++ b/README.md @@ -108,6 +108,7 @@ Excerpts from the [Foreword](./docs/foreword_ro.pdf) and [Preface](./docs/prefac - [What is Euclidean distance in terms of machine learning?](./faq/euclidean-distance.md) - [What is the major difference between naive Bayes and logistic regression?](./faq/naive-bayes-vs-logistic-regression.md) - [When should I apply data normalization/standardization?](./faq/when-to-standardize.md) +- [What is the decision boundary for Naive Bayes?](./faq/naive-bayes-boundary.md) - [Which machine learning algorithms can be considered as among the best?](./faq/best-ml-algo.md) - [What are the broad categories of classifiers?](./faq/classifier-categories.md) diff --git a/faq/README.md b/faq/README.md index 4c3d915a..ca919468 100644 --- a/faq/README.md +++ b/faq/README.md @@ -51,6 +51,7 @@ Sebastian - [What is Euclidean distance in terms of machine learning?](./euclidean-distance.md) - [What is the major difference between naive Bayes and logistic regression?](./naive-bayes-vs-logistic-regression.md) - [When should I apply data normalization/standardization?](./when-to-standardize.md) +- [What is the decision boundary for Naive Bayes?](./naive-bayes-boundary.md) - [Which machine learning algorithms can be considered as among the best?](./best-ml-algo.md) - [What are the broad categories of classifiers?](./classifier-categories.md) diff --git a/faq/naive-bayes-boundary.md b/faq/naive-bayes-boundary.md new file mode 100644 index 00000000..71767752 --- /dev/null +++ b/faq/naive-bayes-boundary.md @@ -0,0 +1,13 @@ +# What is the decision boundary for Naive Bayes? + + +It's a (piecewise) quadratic decision boundary for the Gaussian model. The multinomial model has a linear boundary. +Below, I plotted some examples: + +1) UCI Wine Dataset + +![](./naive-bayes-boundary/gaussian_1.png) + +2) An XOR toy dataset + +![](./naive-bayes-boundary/gaussian_2.png) diff --git a/faq/naive-bayes-boundary/gaussian_1.png b/faq/naive-bayes-boundary/gaussian_1.png new file mode 100644 index 0000000000000000000000000000000000000000..cf73118774f61fbd4c5169d3d32d42a0904c8020 GIT binary patch literal 67877 zcmZU)19W6T*Df5}#>AdvV%zLE6Wg|piETUSV8V%QO>8?8+n6MO&-;G&-fykHS7+sP zol~c@Yvb8ZMJg#sAtMkVfPsM_%Sel>fPsO}gZ?<+U_d3E`v|O{AKq4CVoEY%Vx&sW z4(3+2W?*2n(1_i-Qqp`q=;7qr{>*vYNQAyn~GA0Kh)G;v*kWA&kRv~22 znqeYxQH*o~SH|!o>4ckMM;RjsdjsbOB>FabRhAQjev@*QVVT3yHhQYuiH3+=f*Iq( zpu*t7K*PAeK*Gqu=)sI6Ekt1?h#vh7{#`V2AAGTm*InEEHjUX*L-DUn7|#1rkXj@+v_md zTX&%=VysNQu^Y3k33n4c9}`PzOH2a;v*h#n8K4fD%>2RLYmdFp&mP?O&rc7Q8GpkZ zqET=#N)M}@hnY}s&?@9wscE`u$^&>!9PAj4OdX8P7(MMAL8}A?#_!1sy0kNMH6r!2 zv$c2O^%Nlg&l9|$>wm>eehH9Uy1F{@GBJ60crbdfF*-O~FtPCP@Gvp6GO@CL13mH0#mnB+$n%@M3&nq5 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