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@@ -1316,7 +1316,8 @@ desirable properties such as:
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<pre style="font-size: 80%; line-height: 125%;">x = <span style="color: #B452CD">2</span>*np.random.rand(m,<span style="color: #B452CD">1</span>)
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<pre style="font-size: 80%; line-height: 125%;">m = <span style="color: #B452CD">100</span>
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x = <span style="color: #B452CD">2</span>*np.random.rand(m,<span style="color: #B452CD">1</span>)
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y = <span style="color: #B452CD">4</span>+<span style="color: #B452CD">3</span>*x+np.random.randn(m,<span style="color: #B452CD">1</span>)
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@@ -1338,7 +1338,8 @@ desirable properties such as:
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<pre style="line-height: 125%;">x = <span style="color: #B452CD">2</span>*np.random.rand(m,<span style="color: #B452CD">1</span>)
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<pre style="line-height: 125%;">m = <span style="color: #B452CD">100</span>
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x = <span style="color: #B452CD">2</span>*np.random.rand(m,<span style="color: #B452CD">1</span>)
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y = <span style="color: #B452CD">4</span>+<span style="color: #B452CD">3</span>*x+np.random.randn(m,<span style="color: #B452CD">1</span>)
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@@ -1415,7 +1415,8 @@ desirable properties such as:
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<pre style="line-height: 125%;">x <span style="color: #666666">=</span> <span style="color: #666666">2*</span>np<span style="color: #666666">.</span>random<span style="color: #666666">.</span>rand(m,<span style="color: #666666">1</span>)
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<pre style="line-height: 125%;">m <span style="color: #666666">=</span> <span style="color: #666666">100</span>
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x <span style="color: #666666">=</span> <span style="color: #666666">2*</span>np<span style="color: #666666">.</span>random<span style="color: #666666">.</span>rand(m,<span style="color: #666666">1</span>)
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y <span style="color: #666666">=</span> <span style="color: #666666">4+3*</span>x<span style="color: #666666">+</span>np<span style="color: #666666">.</span>random<span style="color: #666666">.</span>randn(m,<span style="color: #666666">1</span>)
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@@ -815,6 +815,7 @@ o The cost function is convex which guarantees that gradient descent converges f
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We revisit an example similar to what we had in the first homework set. We had a function of the type
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!bc pycod
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m = 100
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x = 2*np.random.rand(m,1)
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y = 4+3*x+np.random.randn(m,1)
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!ec
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