update

2023-08-31 06:19:44 +02:00
parent e9bac09427
commit d05f791ff6
98 changed files with 3861 additions and 2496 deletions
@@ -242,6 +242,33 @@ const thebe_selector_output = ".output, .cell_output"
  </a>
 </li>
 </ul>
+<p aria-level="2" class="caption" role="heading">
+ <span class="caption-text">
+  Weekly material, notes and exercises
+ </span>
+</p>
+<ul class="nav bd-sidenav">
+ <li class="toctree-l1">
+  <a class="reference internal" href="exercisesweek34.html">
+   Exercises week 34
+  </a>
+ </li>
+ <li class="toctree-l1">
+  <a class="reference internal" href="week34.html">
+   Week 34: Introduction to the course, Logistics and Practicalities
+  </a>
+ </li>
+ <li class="toctree-l1">
+  <a class="reference internal" href="exercisesweek35.html">
+   Exercises week 35
+  </a>
+ </li>
+ <li class="toctree-l1">
+  <a class="reference internal" href="week35.html">
+   Week 35: From Ordinary Linear Regression to Ridge and Lasso Regression
+  </a>
+ </li>
+</ul>

    </div>
 </nav> <!-- To handle the deprecated key -->
@@ -2583,6 +2610,43 @@ Using TensorFlow results in a much better execution time. Try it!</p>
 <span class="g g-Whitespace">     </span><span class="mi">19</span>     <span class="n">x</span> <span class="o">=</span> <span class="nb">tuple</span><span class="p">(</span><span class="n">args</span><span class="p">[</span><span class="n">i</span><span class="p">]</span> <span class="k">for</span> <span class="n">i</span> <span class="ow">in</span> <span class="n">argnum</span><span class="p">)</span>
 <span class="ne">---&gt; </span><span class="mi">20</span> <span class="k">return</span> <span class="n">unary_operator</span><span class="p">(</span><span class="n">unary_f</span><span class="p">,</span> <span class="n">x</span><span class="p">,</span> <span class="o">*</span><span class="n">nary_op_args</span><span class="p">,</span> <span class="o">**</span><span class="n">nary_op_kwargs</span><span class="p">)</span>

+<span class="nn">File ~/miniforge3/envs/myenv/lib/python3.9/site-packages/autograd/differential_operators.py:57,</span> in <span class="ni">jacobian</span><span class="nt">(fun, x)</span>
+<span class="g g-Whitespace">     </span><span class="mi">47</span> <span class="nd">@unary_to_nary</span>
+<span class="g g-Whitespace">     </span><span class="mi">48</span> <span class="k">def</span> <span class="nf">jacobian</span><span class="p">(</span><span class="n">fun</span><span class="p">,</span> <span class="n">x</span><span class="p">):</span>
+<span class="g g-Whitespace">     </span><span class="mi">49</span>     <span class="sd">&quot;&quot;&quot;</span>
+<span class="g g-Whitespace">     </span><span class="mi">50</span><span class="sd">     Returns a function which computes the Jacobian of `fun` with respect to</span>
+<span class="g g-Whitespace">     </span><span class="mi">51</span><span class="sd">     positional argument number `argnum`, which must be a scalar or array. Unlike</span>
+<span class="sd">   (...)</span>
+<span class="g g-Whitespace">     </span><span class="mi">55</span><span class="sd">     (out1, out2, ...) then the Jacobian has shape (out1, out2, ..., in1, in2, ...).</span>
+<span class="g g-Whitespace">     </span><span class="mi">56</span><span class="sd">     &quot;&quot;&quot;</span>
+<span class="ne">---&gt; </span><span class="mi">57</span>     <span class="n">vjp</span><span class="p">,</span> <span class="n">ans</span> <span class="o">=</span> <span class="n">_make_vjp</span><span class="p">(</span><span class="n">fun</span><span class="p">,</span> <span class="n">x</span><span class="p">)</span>
+<span class="g g-Whitespace">     </span><span class="mi">58</span>     <span class="n">ans_vspace</span> <span class="o">=</span> <span class="n">vspace</span><span class="p">(</span><span class="n">ans</span><span class="p">)</span>
+<span class="g g-Whitespace">     </span><span class="mi">59</span>     <span class="n">jacobian_shape</span> <span class="o">=</span> <span class="n">ans_vspace</span><span class="o">.</span><span class="n">shape</span> <span class="o">+</span> <span class="n">vspace</span><span class="p">(</span><span class="n">x</span><span class="p">)</span><span class="o">.</span><span class="n">shape</span>
+
+<span class="nn">File ~/miniforge3/envs/myenv/lib/python3.9/site-packages/autograd/core.py:10,</span> in <span class="ni">make_vjp</span><span class="nt">(fun, x)</span>
+<span class="g g-Whitespace">      </span><span class="mi">8</span> <span class="k">def</span> <span class="nf">make_vjp</span><span class="p">(</span><span class="n">fun</span><span class="p">,</span> <span class="n">x</span><span class="p">):</span>
+<span class="g g-Whitespace">      </span><span class="mi">9</span>     <span class="n">start_node</span> <span class="o">=</span> <span class="n">VJPNode</span><span class="o">.</span><span class="n">new_root</span><span class="p">()</span>
+<span class="ne">---&gt; </span><span class="mi">10</span>     <span class="n">end_value</span><span class="p">,</span> <span class="n">end_node</span> <span class="o">=</span>  <span class="n">trace</span><span class="p">(</span><span class="n">start_node</span><span class="p">,</span> <span class="n">fun</span><span class="p">,</span> <span class="n">x</span><span class="p">)</span>
+<span class="g g-Whitespace">     </span><span class="mi">11</span>     <span class="k">if</span> <span class="n">end_node</span> <span class="ow">is</span> <span class="kc">None</span><span class="p">:</span>
+<span class="g g-Whitespace">     </span><span class="mi">12</span>         <span class="k">def</span> <span class="nf">vjp</span><span class="p">(</span><span class="n">g</span><span class="p">):</span> <span class="k">return</span> <span class="n">vspace</span><span class="p">(</span><span class="n">x</span><span class="p">)</span><span class="o">.</span><span class="n">zeros</span><span class="p">()</span>
+
+<span class="nn">File ~/miniforge3/envs/myenv/lib/python3.9/site-packages/autograd/tracer.py:10,</span> in <span class="ni">trace</span><span class="nt">(start_node, fun, x)</span>
+<span class="g g-Whitespace">      </span><span class="mi">8</span> <span class="k">with</span> <span class="n">trace_stack</span><span class="o">.</span><span class="n">new_trace</span><span class="p">()</span> <span class="k">as</span> <span class="n">t</span><span class="p">:</span>
+<span class="g g-Whitespace">      </span><span class="mi">9</span>     <span class="n">start_box</span> <span class="o">=</span> <span class="n">new_box</span><span class="p">(</span><span class="n">x</span><span class="p">,</span> <span class="n">t</span><span class="p">,</span> <span class="n">start_node</span><span class="p">)</span>
+<span class="ne">---&gt; </span><span class="mi">10</span>     <span class="n">end_box</span> <span class="o">=</span> <span class="n">fun</span><span class="p">(</span><span class="n">start_box</span><span class="p">)</span>
+<span class="g g-Whitespace">     </span><span class="mi">11</span>     <span class="k">if</span> <span class="n">isbox</span><span class="p">(</span><span class="n">end_box</span><span class="p">)</span> <span class="ow">and</span> <span class="n">end_box</span><span class="o">.</span><span class="n">_trace</span> <span class="o">==</span> <span class="n">start_box</span><span class="o">.</span><span class="n">_trace</span><span class="p">:</span>
+<span class="g g-Whitespace">     </span><span class="mi">12</span>         <span class="k">return</span> <span class="n">end_box</span><span class="o">.</span><span class="n">_value</span><span class="p">,</span> <span class="n">end_box</span><span class="o">.</span><span class="n">_node</span>
+
+<span class="nn">File ~/miniforge3/envs/myenv/lib/python3.9/site-packages/autograd/wrap_util.py:15,</span> in <span class="ni">unary_to_nary.&lt;locals&gt;.nary_operator.&lt;locals&gt;.nary_f.&lt;locals&gt;.unary_f</span><span class="nt">(x)</span>
+<span class="g g-Whitespace">     </span><span class="mi">13</span> <span class="k">else</span><span class="p">:</span>
+<span class="g g-Whitespace">     </span><span class="mi">14</span>     <span class="n">subargs</span> <span class="o">=</span> <span class="n">subvals</span><span class="p">(</span><span class="n">args</span><span class="p">,</span> <span class="nb">zip</span><span class="p">(</span><span class="n">argnum</span><span class="p">,</span> <span class="n">x</span><span class="p">))</span>
+<span class="ne">---&gt; </span><span class="mi">15</span> <span class="k">return</span> <span class="n">fun</span><span class="p">(</span><span class="o">*</span><span class="n">subargs</span><span class="p">,</span> <span class="o">**</span><span class="n">kwargs</span><span class="p">)</span>
+
+<span class="nn">File ~/miniforge3/envs/myenv/lib/python3.9/site-packages/autograd/wrap_util.py:20,</span> in <span class="ni">unary_to_nary.&lt;locals&gt;.nary_operator.&lt;locals&gt;.nary_f</span><span class="nt">(*args, **kwargs)</span>
+<span class="g g-Whitespace">     </span><span class="mi">18</span> <span class="k">else</span><span class="p">:</span>
+<span class="g g-Whitespace">     </span><span class="mi">19</span>     <span class="n">x</span> <span class="o">=</span> <span class="nb">tuple</span><span class="p">(</span><span class="n">args</span><span class="p">[</span><span class="n">i</span><span class="p">]</span> <span class="k">for</span> <span class="n">i</span> <span class="ow">in</span> <span class="n">argnum</span><span class="p">)</span>
+<span class="ne">---&gt; </span><span class="mi">20</span> <span class="k">return</span> <span class="n">unary_operator</span><span class="p">(</span><span class="n">unary_f</span><span class="p">,</span> <span class="n">x</span><span class="p">,</span> <span class="o">*</span><span class="n">nary_op_args</span><span class="p">,</span> <span class="o">**</span><span class="n">nary_op_kwargs</span><span class="p">)</span>
+
 <span class="nn">File ~/miniforge3/envs/myenv/lib/python3.9/site-packages/autograd/differential_operators.py:61,</span> in <span class="ni">jacobian</span><span class="nt">(fun, x)</span>
 <span class="g g-Whitespace">     </span><span class="mi">59</span> <span class="n">jacobian_shape</span> <span class="o">=</span> <span class="n">ans_vspace</span><span class="o">.</span><span class="n">shape</span> <span class="o">+</span> <span class="n">vspace</span><span class="p">(</span><span class="n">x</span><span class="p">)</span><span class="o">.</span><span class="n">shape</span>
 <span class="g g-Whitespace">     </span><span class="mi">60</span> <span class="n">grads</span> <span class="o">=</span> <span class="nb">map</span><span class="p">(</span><span class="n">vjp</span><span class="p">,</span> <span class="n">ans_vspace</span><span class="o">.</span><span class="n">standard_basis</span><span class="p">())</span>
@@ -2631,19 +2695,45 @@ Using TensorFlow results in a much better execution time. Try it!</p>
 <span class="g g-Whitespace">     </span><span class="mi">83</span> <span class="n">defvjp</span><span class="p">(</span><span class="n">anp</span><span class="o">.</span><span class="n">cos</span><span class="p">,</span>    <span class="k">lambda</span> <span class="n">ans</span><span class="p">,</span> <span class="n">x</span> <span class="p">:</span> <span class="k">lambda</span> <span class="n">g</span><span class="p">:</span> <span class="o">-</span> <span class="n">g</span> <span class="o">*</span> <span class="n">anp</span><span class="o">.</span><span class="n">sin</span><span class="p">(</span><span class="n">x</span><span class="p">))</span>
 <span class="g g-Whitespace">     </span><span class="mi">84</span> <span class="n">defvjp</span><span class="p">(</span><span class="n">anp</span><span class="o">.</span><span class="n">tan</span><span class="p">,</span>    <span class="k">lambda</span> <span class="n">ans</span><span class="p">,</span> <span class="n">x</span> <span class="p">:</span> <span class="k">lambda</span> <span class="n">g</span><span class="p">:</span> <span class="n">g</span> <span class="o">/</span> <span class="n">anp</span><span class="o">.</span><span class="n">cos</span><span class="p">(</span><span class="n">x</span><span class="p">)</span> <span class="o">**</span><span class="mi">2</span><span class="p">)</span>

-<span class="nn">File ~/miniforge3/envs/myenv/lib/python3.9/site-packages/autograd/tracer.py:37,</span> in <span class="ni">primitive.&lt;locals&gt;.f_wrapped</span><span class="nt">(*args, **kwargs)</span>
-<span class="g g-Whitespace">     </span><span class="mi">35</span> <span class="nd">@wraps</span><span class="p">(</span><span class="n">f_raw</span><span class="p">)</span>
-<span class="g g-Whitespace">     </span><span class="mi">36</span> <span class="k">def</span> <span class="nf">f_wrapped</span><span class="p">(</span><span class="o">*</span><span class="n">args</span><span class="p">,</span> <span class="o">**</span><span class="n">kwargs</span><span class="p">):</span>
-<span class="ne">---&gt; </span><span class="mi">37</span>     <span class="n">boxed_args</span><span class="p">,</span> <span class="n">trace</span><span class="p">,</span> <span class="n">node_constructor</span> <span class="o">=</span> <span class="n">find_top_boxed_args</span><span class="p">(</span><span class="n">args</span><span class="p">)</span>
-<span class="g g-Whitespace">     </span><span class="mi">38</span>     <span class="k">if</span> <span class="n">boxed_args</span><span class="p">:</span>
-<span class="g g-Whitespace">     </span><span class="mi">39</span>         <span class="n">argvals</span> <span class="o">=</span> <span class="n">subvals</span><span class="p">(</span><span class="n">args</span><span class="p">,</span> <span class="p">[(</span><span class="n">argnum</span><span class="p">,</span> <span class="n">box</span><span class="o">.</span><span class="n">_value</span><span class="p">)</span> <span class="k">for</span> <span class="n">argnum</span><span class="p">,</span> <span class="n">box</span> <span class="ow">in</span> <span class="n">boxed_args</span><span class="p">])</span>
+<span class="nn">File ~/miniforge3/envs/myenv/lib/python3.9/site-packages/autograd/numpy/numpy_boxes.py:27,</span> in <span class="ni">ArrayBox.__mul__</span><span class="nt">(self, other)</span>
+<span class="ne">---&gt; </span><span class="mi">27</span> <span class="k">def</span> <span class="fm">__mul__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">other</span><span class="p">):</span> <span class="k">return</span> <span class="n">anp</span><span class="o">.</span><span class="n">multiply</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">other</span><span class="p">)</span>

-<span class="nn">File ~/miniforge3/envs/myenv/lib/python3.9/site-packages/autograd/tracer.py:70,</span> in <span class="ni">find_top_boxed_args</span><span class="nt">(args)</span>
-<span class="g g-Whitespace">     </span><span class="mi">68</span> <span class="n">top_node_type</span> <span class="o">=</span> <span class="kc">None</span>
-<span class="g g-Whitespace">     </span><span class="mi">69</span> <span class="k">for</span> <span class="n">argnum</span><span class="p">,</span> <span class="n">arg</span> <span class="ow">in</span> <span class="nb">enumerate</span><span class="p">(</span><span class="n">args</span><span class="p">):</span>
-<span class="ne">---&gt; </span><span class="mi">70</span>     <span class="k">if</span> <span class="n">isbox</span><span class="p">(</span><span class="n">arg</span><span class="p">):</span>
-<span class="g g-Whitespace">     </span><span class="mi">71</span>         <span class="n">trace</span> <span class="o">=</span> <span class="n">arg</span><span class="o">.</span><span class="n">_trace</span>
-<span class="g g-Whitespace">     </span><span class="mi">72</span>         <span class="k">if</span> <span class="n">trace</span> <span class="o">&gt;</span> <span class="n">top_trace</span><span class="p">:</span>
+<span class="nn">File ~/miniforge3/envs/myenv/lib/python3.9/site-packages/autograd/tracer.py:45,</span> in <span class="ni">primitive.&lt;locals&gt;.f_wrapped</span><span class="nt">(*args, **kwargs)</span>
+<span class="g g-Whitespace">     </span><span class="mi">43</span>     <span class="n">argnums</span> <span class="o">=</span> <span class="nb">tuple</span><span class="p">(</span><span class="n">argnum</span>    <span class="k">for</span> <span class="n">argnum</span><span class="p">,</span> <span class="n">_</span>   <span class="ow">in</span> <span class="n">boxed_args</span><span class="p">)</span>
+<span class="g g-Whitespace">     </span><span class="mi">44</span>     <span class="n">ans</span> <span class="o">=</span> <span class="n">f_wrapped</span><span class="p">(</span><span class="o">*</span><span class="n">argvals</span><span class="p">,</span> <span class="o">**</span><span class="n">kwargs</span><span class="p">)</span>
+<span class="ne">---&gt; </span><span class="mi">45</span>     <span class="n">node</span> <span class="o">=</span> <span class="n">node_constructor</span><span class="p">(</span><span class="n">ans</span><span class="p">,</span> <span class="n">f_wrapped</span><span class="p">,</span> <span class="n">argvals</span><span class="p">,</span> <span class="n">kwargs</span><span class="p">,</span> <span class="n">argnums</span><span class="p">,</span> <span class="n">parents</span><span class="p">)</span>
+<span class="g g-Whitespace">     </span><span class="mi">46</span>     <span class="k">return</span> <span class="n">new_box</span><span class="p">(</span><span class="n">ans</span><span class="p">,</span> <span class="n">trace</span><span class="p">,</span> <span class="n">node</span><span class="p">)</span>
+<span class="g g-Whitespace">     </span><span class="mi">47</span> <span class="k">else</span><span class="p">:</span>
+
+<span class="nn">File ~/miniforge3/envs/myenv/lib/python3.9/site-packages/autograd/core.py:36,</span> in <span class="ni">VJPNode.__init__</span><span class="nt">(self, value, fun, args, kwargs, parent_argnums, parents)</span>
+<span class="g g-Whitespace">     </span><span class="mi">33</span>     <span class="n">fun_name</span> <span class="o">=</span> <span class="nb">getattr</span><span class="p">(</span><span class="n">fun</span><span class="p">,</span> <span class="s1">&#39;__name__&#39;</span><span class="p">,</span> <span class="n">fun</span><span class="p">)</span>
+<span class="g g-Whitespace">     </span><span class="mi">34</span>     <span class="k">raise</span> <span class="ne">NotImplementedError</span><span class="p">(</span><span class="s2">&quot;VJP of </span><span class="si">{}</span><span class="s2"> wrt argnums </span><span class="si">{}</span><span class="s2"> not defined&quot;</span>
+<span class="g g-Whitespace">     </span><span class="mi">35</span>                               <span class="o">.</span><span class="n">format</span><span class="p">(</span><span class="n">fun_name</span><span class="p">,</span> <span class="n">parent_argnums</span><span class="p">))</span>
+<span class="ne">---&gt; </span><span class="mi">36</span> <span class="bp">self</span><span class="o">.</span><span class="n">vjp</span> <span class="o">=</span> <span class="n">vjpmaker</span><span class="p">(</span><span class="n">parent_argnums</span><span class="p">,</span> <span class="n">value</span><span class="p">,</span> <span class="n">args</span><span class="p">,</span> <span class="n">kwargs</span><span class="p">)</span>
+
+<span class="nn">File ~/miniforge3/envs/myenv/lib/python3.9/site-packages/autograd/core.py:76,</span> in <span class="ni">defvjp.&lt;locals&gt;.vjp_argnums</span><span class="nt">(argnums, ans, args, kwargs)</span>
+<span class="g g-Whitespace">     </span><span class="mi">73</span> <span class="k">except</span> <span class="ne">KeyError</span><span class="p">:</span>
+<span class="g g-Whitespace">     </span><span class="mi">74</span>     <span class="k">raise</span> <span class="ne">NotImplementedError</span><span class="p">(</span>
+<span class="g g-Whitespace">     </span><span class="mi">75</span>         <span class="s2">&quot;VJP of </span><span class="si">{}</span><span class="s2"> wrt argnums 0, 1 not defined&quot;</span><span class="o">.</span><span class="n">format</span><span class="p">(</span><span class="n">fun</span><span class="o">.</span><span class="vm">__name__</span><span class="p">))</span>
+<span class="ne">---&gt; </span><span class="mi">76</span> <span class="n">vjp_0</span> <span class="o">=</span> <span class="n">vjp_0_fun</span><span class="p">(</span><span class="n">ans</span><span class="p">,</span> <span class="o">*</span><span class="n">args</span><span class="p">,</span> <span class="o">**</span><span class="n">kwargs</span><span class="p">)</span>
+<span class="g g-Whitespace">     </span><span class="mi">77</span> <span class="n">vjp_1</span> <span class="o">=</span> <span class="n">vjp_1_fun</span><span class="p">(</span><span class="n">ans</span><span class="p">,</span> <span class="o">*</span><span class="n">args</span><span class="p">,</span> <span class="o">**</span><span class="n">kwargs</span><span class="p">)</span>
+<span class="g g-Whitespace">     </span><span class="mi">78</span> <span class="k">return</span> <span class="k">lambda</span> <span class="n">g</span><span class="p">:</span> <span class="p">(</span><span class="n">vjp_0</span><span class="p">(</span><span class="n">g</span><span class="p">),</span> <span class="n">vjp_1</span><span class="p">(</span><span class="n">g</span><span class="p">))</span>
+
+<span class="nn">File ~/miniforge3/envs/myenv/lib/python3.9/site-packages/autograd/numpy/numpy_vjps.py:34,</span> in <span class="ni">&lt;lambda&gt;</span><span class="nt">(ans, x, y)</span>
+<span class="g g-Whitespace">     </span><span class="mi">30</span> <span class="c1"># ----- Binary ufuncs -----</span>
+<span class="g g-Whitespace">     </span><span class="mi">32</span> <span class="n">defvjp</span><span class="p">(</span><span class="n">anp</span><span class="o">.</span><span class="n">add</span><span class="p">,</span>         <span class="k">lambda</span> <span class="n">ans</span><span class="p">,</span> <span class="n">x</span><span class="p">,</span> <span class="n">y</span> <span class="p">:</span> <span class="n">unbroadcast_f</span><span class="p">(</span><span class="n">x</span><span class="p">,</span> <span class="k">lambda</span> <span class="n">g</span><span class="p">:</span> <span class="n">g</span><span class="p">),</span>
+<span class="g g-Whitespace">     </span><span class="mi">33</span>                         <span class="k">lambda</span> <span class="n">ans</span><span class="p">,</span> <span class="n">x</span><span class="p">,</span> <span class="n">y</span> <span class="p">:</span> <span class="n">unbroadcast_f</span><span class="p">(</span><span class="n">y</span><span class="p">,</span> <span class="k">lambda</span> <span class="n">g</span><span class="p">:</span> <span class="n">g</span><span class="p">))</span>
+<span class="ne">---&gt; </span><span class="mi">34</span> <span class="n">defvjp</span><span class="p">(</span><span class="n">anp</span><span class="o">.</span><span class="n">multiply</span><span class="p">,</span>    <span class="k">lambda</span> <span class="n">ans</span><span class="p">,</span> <span class="n">x</span><span class="p">,</span> <span class="n">y</span> <span class="p">:</span> <span class="n">unbroadcast_f</span><span class="p">(</span><span class="n">x</span><span class="p">,</span> <span class="k">lambda</span> <span class="n">g</span><span class="p">:</span> <span class="n">y</span> <span class="o">*</span> <span class="n">g</span><span class="p">),</span>
+<span class="g g-Whitespace">     </span><span class="mi">35</span>                         <span class="k">lambda</span> <span class="n">ans</span><span class="p">,</span> <span class="n">x</span><span class="p">,</span> <span class="n">y</span> <span class="p">:</span> <span class="n">unbroadcast_f</span><span class="p">(</span><span class="n">y</span><span class="p">,</span> <span class="k">lambda</span> <span class="n">g</span><span class="p">:</span> <span class="n">x</span> <span class="o">*</span> <span class="n">g</span><span class="p">))</span>
+<span class="g g-Whitespace">     </span><span class="mi">36</span> <span class="n">defvjp</span><span class="p">(</span><span class="n">anp</span><span class="o">.</span><span class="n">subtract</span><span class="p">,</span>    <span class="k">lambda</span> <span class="n">ans</span><span class="p">,</span> <span class="n">x</span><span class="p">,</span> <span class="n">y</span> <span class="p">:</span> <span class="n">unbroadcast_f</span><span class="p">(</span><span class="n">x</span><span class="p">,</span> <span class="k">lambda</span> <span class="n">g</span><span class="p">:</span> <span class="n">g</span><span class="p">),</span>
+<span class="g g-Whitespace">     </span><span class="mi">37</span>                         <span class="k">lambda</span> <span class="n">ans</span><span class="p">,</span> <span class="n">x</span><span class="p">,</span> <span class="n">y</span> <span class="p">:</span> <span class="n">unbroadcast_f</span><span class="p">(</span><span class="n">y</span><span class="p">,</span> <span class="k">lambda</span> <span class="n">g</span><span class="p">:</span> <span class="o">-</span><span class="n">g</span><span class="p">))</span>
+<span class="g g-Whitespace">     </span><span class="mi">38</span> <span class="n">defvjp</span><span class="p">(</span><span class="n">anp</span><span class="o">.</span><span class="n">divide</span><span class="p">,</span>      <span class="k">lambda</span> <span class="n">ans</span><span class="p">,</span> <span class="n">x</span><span class="p">,</span> <span class="n">y</span> <span class="p">:</span> <span class="n">unbroadcast_f</span><span class="p">(</span><span class="n">x</span><span class="p">,</span> <span class="k">lambda</span> <span class="n">g</span><span class="p">:</span>   <span class="n">g</span> <span class="o">/</span> <span class="n">y</span><span class="p">),</span>
+<span class="g g-Whitespace">     </span><span class="mi">39</span>                         <span class="k">lambda</span> <span class="n">ans</span><span class="p">,</span> <span class="n">x</span><span class="p">,</span> <span class="n">y</span> <span class="p">:</span> <span class="n">unbroadcast_f</span><span class="p">(</span><span class="n">y</span><span class="p">,</span> <span class="k">lambda</span> <span class="n">g</span><span class="p">:</span> <span class="o">-</span> <span class="n">g</span> <span class="o">*</span> <span class="n">x</span> <span class="o">/</span> <span class="n">y</span><span class="o">**</span><span class="mi">2</span><span class="p">))</span>
+
+<span class="nn">File ~/miniforge3/envs/myenv/lib/python3.9/site-packages/autograd/numpy/numpy_vjps.py:659,</span> in <span class="ni">unbroadcast_f</span><span class="nt">(target, f)</span>
+<span class="g g-Whitespace">    </span><span class="mi">658</span> <span class="k">def</span> <span class="nf">unbroadcast_f</span><span class="p">(</span><span class="n">target</span><span class="p">,</span> <span class="n">f</span><span class="p">):</span>
+<span class="ne">--&gt; </span><span class="mi">659</span>     <span class="n">target_meta</span> <span class="o">=</span> <span class="n">anp</span><span class="o">.</span><span class="n">metadata</span><span class="p">(</span><span class="n">target</span><span class="p">)</span>
+<span class="g g-Whitespace">    </span><span class="mi">660</span>     <span class="k">return</span> <span class="k">lambda</span> <span class="n">g</span><span class="p">:</span> <span class="n">unbroadcast</span><span class="p">(</span><span class="n">f</span><span class="p">(</span><span class="n">g</span><span class="p">),</span> <span class="n">target_meta</span><span class="p">)</span>

 <span class="ne">KeyboardInterrupt</span>: 
 </pre></div>