From 401104c7ffd4fa3cb84e6ded79f45c3641e14cb3 Mon Sep 17 00:00:00 2001 From: mhjensen Date: Mon, 5 Nov 2018 14:23:11 +0100 Subject: [PATCH] new small update --- doc/pub/svm/html/._svm-bs016.html | 2 +- doc/pub/svm/html/svm-reveal.html | 2 +- doc/pub/svm/html/svm-solarized.html | 2 +- doc/pub/svm/html/svm.html | 2 +- doc/pub/svm/ipynb/ipynb-svm-src.tar.gz | Bin 206 -> 207 bytes doc/pub/svm/ipynb/svm.ipynb | 2 +- doc/pub/svm/pdf/svm-minted.pdf | Bin 231283 -> 231283 bytes doc/src/SupportVMachines/svm.do.txt | 2 +- 8 files changed, 6 insertions(+), 6 deletions(-) diff --git a/doc/pub/svm/html/._svm-bs016.html b/doc/pub/svm/html/._svm-bs016.html index 56a68c5ae..eb9103479 100644 --- a/doc/pub/svm/html/._svm-bs016.html +++ b/doc/pub/svm/html/._svm-bs016.html @@ -165,7 +165,7 @@ $$ {\cal L}=\sum_i\lambda_i-\frac{1}{2}\sum_{ij}^n\lambda_i\lambda_jy_iy_j\hat{x}_i^T\hat{x}_j, $$ -but now subject to the constraints \( \lambda_i\geq 0 \), \( \sum_i\lambda_iy_i=0 \) and $ 0 \leq \lambda_i \leq C$. +but now subject to the constraints \( \lambda_i\geq 0 \), \( \sum_i\lambda_iy_i=0 \) and \( 0\leq\lambda_i \leq C \). We must in addition satisfy the Karush-Kuhn-Tucker condition which now reads $$ \lambda_i\left[y_i(\hat{w}^T\hat{x}_i+b) -(1-\xi_)\right]=0 \hspace{0.1cm}\forall i, diff --git a/doc/pub/svm/html/svm-reveal.html b/doc/pub/svm/html/svm-reveal.html index 001aab8ba..0b0bc008c 100644 --- a/doc/pub/svm/html/svm-reveal.html +++ b/doc/pub/svm/html/svm-reveal.html @@ -772,7 +772,7 @@ $$ $$

 
-but now subject to the constraints \( \lambda_i\geq 0 \), \( \sum_i\lambda_iy_i=0 \) and $ 0 \leq \lambda_i \leq C$. +but now subject to the constraints \( \lambda_i\geq 0 \), \( \sum_i\lambda_iy_i=0 \) and \( 0\leq\lambda_i \leq C \). We must in addition satisfy the Karush-Kuhn-Tucker condition which now reads

 
$$ diff --git a/doc/pub/svm/html/svm-solarized.html b/doc/pub/svm/html/svm-solarized.html index 143a1f4e1..c13378dd7 100644 --- a/doc/pub/svm/html/svm-solarized.html +++ b/doc/pub/svm/html/svm-solarized.html @@ -614,7 +614,7 @@ $$ {\cal L}=\sum_i\lambda_i-\frac{1}{2}\sum_{ij}^n\lambda_i\lambda_jy_iy_j\hat{x}_i^T\hat{x}_j, $$ -but now subject to the constraints \( \lambda_i\geq 0 \), \( \sum_i\lambda_iy_i=0 \) and $ 0 \leq \lambda_i \leq C$. +but now subject to the constraints \( \lambda_i\geq 0 \), \( \sum_i\lambda_iy_i=0 \) and \( 0\leq\lambda_i \leq C \). We must in addition satisfy the Karush-Kuhn-Tucker condition which now reads $$ \lambda_i\left[y_i(\hat{w}^T\hat{x}_i+b) -(1-\xi_)\right]=0 \hspace{0.1cm}\forall i, diff --git a/doc/pub/svm/html/svm.html b/doc/pub/svm/html/svm.html index 3909d9ce0..03207f3a0 100644 --- a/doc/pub/svm/html/svm.html +++ b/doc/pub/svm/html/svm.html @@ -619,7 +619,7 @@ $$ {\cal L}=\sum_i\lambda_i-\frac{1}{2}\sum_{ij}^n\lambda_i\lambda_jy_iy_j\hat{x}_i^T\hat{x}_j, $$ -but now subject to the constraints \( \lambda_i\geq 0 \), \( \sum_i\lambda_iy_i=0 \) and $ 0 \leq \lambda_i \leq C$. +but now subject to the constraints \( \lambda_i\geq 0 \), \( \sum_i\lambda_iy_i=0 \) and \( 0\leq\lambda_i \leq C \). We must in addition satisfy the Karush-Kuhn-Tucker condition which now reads $$ \lambda_i\left[y_i(\hat{w}^T\hat{x}_i+b) -(1-\xi_)\right]=0 \hspace{0.1cm}\forall i, diff --git a/doc/pub/svm/ipynb/ipynb-svm-src.tar.gz b/doc/pub/svm/ipynb/ipynb-svm-src.tar.gz index 527cc9070b639904c6b04da33b1eb554910ad020..f15bd65e42902bd7f7360383c990e2e948000035 100644 GIT binary patch literal 207 zcmb2|=3vlwc@WLO{Pz68EG9#NV}Yznt+ z{Zi^+)44Cv?)ENPF}@X3*Dkx@&2N7j!#bKxD*Dg<1ONa40000000000007?03GvU{ IGXN+601d-vd;kCd diff --git a/doc/pub/svm/ipynb/svm.ipynb b/doc/pub/svm/ipynb/svm.ipynb index dfe41a617..00a5696d2 100644 --- a/doc/pub/svm/ipynb/svm.ipynb +++ b/doc/pub/svm/ipynb/svm.ipynb @@ -988,7 +988,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "but now subject to the constraints $\\lambda_i\\geq 0$, $\\sum_i\\lambda_iy_i=0$ and $ 0 \\leq \\lambda_i \\leq C$. \n", + "but now subject to the constraints $\\lambda_i\\geq 0$, $\\sum_i\\lambda_iy_i=0$ and $0\\leq\\lambda_i \\leq C$. \n", "We must in addition satisfy the Karush-Kuhn-Tucker condition which now reads" ] }, diff --git a/doc/pub/svm/pdf/svm-minted.pdf b/doc/pub/svm/pdf/svm-minted.pdf index e9ed6ca7939e9569c07205e258d1b49dc2454644..56320d1ad7c525f35e23cf810716d0b3eb2bdfad 100644 GIT binary patch delta 110 zcmey|$M?C9uc3vpg=q`(=|&bKBU6*<=Np;j!L03{8kq~3ot<0^OkJG}3`{JH%`Dtp gT%0Xkjm=FhT`e44jev3{b_zCxlx$zt%6yg)089cOQvd(} delta 110 zcmey|$M?C9uc3vpg=q`(=|&bqOJjrS=Np;j!L03{8kq~3oz0w0EKD3-T}(|KEgc;# h42(=oOpV>lEzAs^&7F*$EbSC*2r1dVtd;pJBLF~k9{m6S diff --git a/doc/src/SupportVMachines/svm.do.txt b/doc/src/SupportVMachines/svm.do.txt index 1c9a1c61a..4bccfb7d5 100644 --- a/doc/src/SupportVMachines/svm.do.txt +++ b/doc/src/SupportVMachines/svm.do.txt @@ -507,7 +507,7 @@ Inserting these constraints into the equation for ${\cal L}$ we obtain the same {\cal L}=\sum_i\lambda_i-\frac{1}{2}\sum_{ij}^n\lambda_i\lambda_jy_iy_j\hat{x}_i^T\hat{x}_j, \] !et -but now subject to the constraints $\lambda_i\geq 0$, $\sum_i\lambda_iy_i=0$ and $ 0 \leq \lambda_i \leq C$. +but now subject to the constraints $\lambda_i\geq 0$, $\sum_i\lambda_iy_i=0$ and $0\leq\lambda_i \leq C$. We must in addition satisfy the Karush-Kuhn-Tucker condition which now reads !bt \[