typo week48

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mhjensen
2020-11-26 11:35:25 +01:00
parent 2e3bb0d244
commit f3be9b9268
7 changed files with 6 additions and 6 deletions
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@@ -278,7 +278,7 @@ $$
<ol>
<li> With a given kernel we can thus define the matrix \( \boldsymbol{P} \).</li>
<li> The matrix \( \boldsymbol{P} \) has matrix elements \( p_{ij}=y_iy_jK(\boldsymbol{x}_i,\boldsymbol{x}_j) \). Given a kernel \( K \) and the targets \( y_i \) this matrix is easy to set up.</li>
<li> The vector \( \boldsymbol{q} \) is zero.</li>
<li> The vector \( \boldsymbol{q} \) has all elements equal 1.</li>
<li> The constraint \( \boldsymbol{y}^T\boldsymbol{\lambda}=0 \) leads to \( f=0 \) and \( \boldsymbol{A}=\boldsymbol{y} \).</li>
<li> To set up the matrix \( \boldsymbol{G} \) we note that the inequalities \( 0\leq \lambda_i \leq C \) can be split up into \( 0\leq \lambda_i \) and \( \lambda_i \leq C \). These two inequalities define then the matrix \( \boldsymbol{G} \) and the vector \( \boldsymbol{h} \).</li>
</ol>
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@@ -809,7 +809,7 @@ $$
<ol>
<p><li> With a given kernel we can thus define the matrix \( \boldsymbol{P} \).</li>
<p><li> The matrix \( \boldsymbol{P} \) has matrix elements \( p_{ij}=y_iy_jK(\boldsymbol{x}_i,\boldsymbol{x}_j) \). Given a kernel \( K \) and the targets \( y_i \) this matrix is easy to set up.</li>
<p><li> The vector \( \boldsymbol{q} \) is zero.</li>
<p><li> The vector \( \boldsymbol{q} \) has all elements equal 1.</li>
<p><li> The constraint \( \boldsymbol{y}^T\boldsymbol{\lambda}=0 \) leads to \( f=0 \) and \( \boldsymbol{A}=\boldsymbol{y} \).</li>
<p><li> To set up the matrix \( \boldsymbol{G} \) we note that the inequalities \( 0\leq \lambda_i \leq C \) can be split up into \( 0\leq \lambda_i \) and \( \lambda_i \leq C \). These two inequalities define then the matrix \( \boldsymbol{G} \) and the vector \( \boldsymbol{h} \).</li>
</ol>
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@@ -820,7 +820,7 @@ $$
<ol>
<li> With a given kernel we can thus define the matrix \( \boldsymbol{P} \).</li>
<li> The matrix \( \boldsymbol{P} \) has matrix elements \( p_{ij}=y_iy_jK(\boldsymbol{x}_i,\boldsymbol{x}_j) \). Given a kernel \( K \) and the targets \( y_i \) this matrix is easy to set up.</li>
<li> The vector \( \boldsymbol{q} \) is zero.</li>
<li> The vector \( \boldsymbol{q} \) has all elements equal 1.</li>
<li> The constraint \( \boldsymbol{y}^T\boldsymbol{\lambda}=0 \) leads to \( f=0 \) and \( \boldsymbol{A}=\boldsymbol{y} \).</li>
<li> To set up the matrix \( \boldsymbol{G} \) we note that the inequalities \( 0\leq \lambda_i \leq C \) can be split up into \( 0\leq \lambda_i \) and \( \lambda_i \leq C \). These two inequalities define then the matrix \( \boldsymbol{G} \) and the vector \( \boldsymbol{h} \).</li>
</ol>
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@@ -825,7 +825,7 @@ $$
<ol>
<li> With a given kernel we can thus define the matrix \( \boldsymbol{P} \).</li>
<li> The matrix \( \boldsymbol{P} \) has matrix elements \( p_{ij}=y_iy_jK(\boldsymbol{x}_i,\boldsymbol{x}_j) \). Given a kernel \( K \) and the targets \( y_i \) this matrix is easy to set up.</li>
<li> The vector \( \boldsymbol{q} \) is zero.</li>
<li> The vector \( \boldsymbol{q} \) has all elements equal 1.</li>
<li> The constraint \( \boldsymbol{y}^T\boldsymbol{\lambda}=0 \) leads to \( f=0 \) and \( \boldsymbol{A}=\boldsymbol{y} \).</li>
<li> To set up the matrix \( \boldsymbol{G} \) we note that the inequalities \( 0\leq \lambda_i \leq C \) can be split up into \( 0\leq \lambda_i \) and \( \lambda_i \leq C \). These two inequalities define then the matrix \( \boldsymbol{G} \) and the vector \( \boldsymbol{h} \).</li>
</ol>
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@@ -816,7 +816,7 @@
"\n",
"2. The matrix $\\boldsymbol{P}$ has matrix elements $p_{ij}=y_iy_jK(\\boldsymbol{x}_i,\\boldsymbol{x}_j)$. Given a kernel $K$ and the targets $y_i$ this matrix is easy to set up.\n",
"\n",
"3. The vector $\\boldsymbol{q}$ is zero.\n",
"3. The vector $\\boldsymbol{q}$ has all elements equal 1.\n",
"\n",
"4. The constraint $\\boldsymbol{y}^T\\boldsymbol{\\lambda}=0$ leads to $f=0$ and $\\boldsymbol{A}=\\boldsymbol{y}$.\n",
"\n",
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@@ -575,7 +575,7 @@ We have the general problem
o With a given kernel we can thus define the matrix $\bm{P}$.
o The matrix $\bm{P}$ has matrix elements $p_{ij}=y_iy_jK(\bm{x}_i,\bm{x}_j)$. Given a kernel $K$ and the targets $y_i$ this matrix is easy to set up.
o The vector $\bm{q}$ is zero.
o The vector $\bm{q}$ has all elements equal 1.
o The constraint $\bm{y}^T\bm{\lambda}=0$ leads to $f=0$ and $\bm{A}=\bm{y}$.
o To set up the matrix $\bm{G}$ we note that the inequalities $0\leq \lambda_i \leq C$ can be split up into $0\leq \lambda_i$ and $\lambda_i \leq C$. These two inequalities define then the matrix $\bm{G}$ and the vector $\bm{h}$.