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homework.html
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<!DOCTYPE html>
<html>
<head><meta charset="utf-8" />
<title>homework</title>
<script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.1.10/require.min.js"></script>
<script src="https://cdnjs.cloudflare.com/ajax/libs/jquery/2.0.3/jquery.min.js"></script>
<style type="text/css">
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<div class=" highlight hl-ipython3"><pre><span></span><span class="ch">#!/usr/bin/env python</span>
<span class="c1"># -*- coding: utf-8 -*-</span>
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<h1 id="CS224U-Homework-5"><a href="https://web.stanford.edu/class/cs224u/">CS224U</a> Homework 5<a class="anchor-link" href="#CS224U-Homework-5">¶</a></h1><p>This homework is distributed in three content-identical formats (html, py, ipynb) as part of the SippyCup codebase. All seven problems are required. You're encouraged to turn your work in as iPython HTML output or as a Python script. This work is due by the start of class on May 16.</p>
<p>Be sure to put this code, or run this notebook, inside <a href="https://github.com/wcmac/sippycup">the SippyCup codebase</a>.</p>
<ul>
<li><p><a href="#Arithmetic-domain">Arithmetic domain</a></p>
<ul>
<li><a href="#Question-1">Question 1</a></li>
<li><a href="#Question-2">Question 2</a></li>
<li><a href="#Question-3">Question 3</a></li>
</ul>
</li>
<li><p><a href="#Travel-domain">Travel domain</a></p>
<ul>
<li><a href="#Question-4">Question 4</a></li>
<li><a href="#Question-5">Question 5</a></li>
</ul>
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<li><p><a href="#GeoQuery-domain">GeoQuery domain</a></p>
<ul>
<li><a href="#Question-6">Question 6</a></li>
<li><a href="#Question-7">Question 7</a></li>
</ul>
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<h2 id="Arithmetic-domain">Arithmetic domain<a class="anchor-link" href="#Arithmetic-domain">¶</a></h2><p>SippyCup includes a module <code>arithmetic</code> with a class <code>ArithmeticDomain</code> that brings together
the examples from unit 1. Here's an example of the sort of use you'll make of this domain
for these homework problems.</p>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="kn">from</span> <span class="nn">arithmetic</span> <span class="k">import</span> <span class="n">ArithmeticDomain</span>
<span class="kn">from</span> <span class="nn">parsing</span> <span class="k">import</span> <span class="n">parse_to_pretty_string</span>
<span class="c1"># Import the domain and make sure all is well:</span>
<span class="n">math_domain</span> <span class="o">=</span> <span class="n">ArithmeticDomain</span><span class="p">()</span>
<span class="c1"># Core grammar:</span>
<span class="n">math_grammar</span> <span class="o">=</span> <span class="n">math_domain</span><span class="o">.</span><span class="n">grammar</span><span class="p">()</span>
<span class="c1"># A few examples:</span>
<span class="n">parses</span> <span class="o">=</span> <span class="n">math_grammar</span><span class="o">.</span><span class="n">parse_input</span><span class="p">(</span><span class="s2">"minus two plus three"</span><span class="p">)</span>
<span class="k">for</span> <span class="n">parse</span> <span class="ow">in</span> <span class="n">parses</span><span class="p">:</span>
<span class="nb">print</span><span class="p">(</span><span class="s1">'</span><span class="se">\n</span><span class="s1">Parse:</span><span class="se">\n</span><span class="s1">'</span><span class="p">,</span> <span class="n">parse_to_pretty_string</span><span class="p">(</span><span class="n">parse</span><span class="p">,</span> <span class="n">show_sem</span><span class="o">=</span><span class="kc">True</span><span class="p">))</span>
<span class="nb">print</span><span class="p">(</span><span class="s1">'Denotation:'</span><span class="p">,</span> <span class="n">math_domain</span><span class="o">.</span><span class="n">execute</span><span class="p">(</span><span class="n">parse</span><span class="o">.</span><span class="n">semantics</span><span class="p">))</span>
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<p>This is a convenience function we'll use for seeing what the grammar is doing:</p>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="k">def</span> <span class="nf">display_examples</span><span class="p">(</span><span class="n">utterances</span><span class="p">,</span> <span class="n">grammar</span><span class="o">=</span><span class="kc">None</span><span class="p">,</span> <span class="n">domain</span><span class="o">=</span><span class="kc">None</span><span class="p">):</span>
<span class="k">for</span> <span class="n">utterance</span> <span class="ow">in</span> <span class="n">utterances</span><span class="p">:</span>
<span class="nb">print</span><span class="p">(</span><span class="s2">"="</span><span class="o">*</span><span class="mi">70</span><span class="p">)</span>
<span class="nb">print</span><span class="p">(</span><span class="n">utterance</span><span class="p">)</span>
<span class="n">parses</span> <span class="o">=</span> <span class="n">grammar</span><span class="o">.</span><span class="n">parse_input</span><span class="p">(</span><span class="n">utterance</span><span class="p">)</span>
<span class="k">for</span> <span class="n">parse</span> <span class="ow">in</span> <span class="n">parses</span><span class="p">:</span>
<span class="nb">print</span><span class="p">(</span><span class="s1">'</span><span class="se">\n</span><span class="s1">Parse:</span><span class="se">\n</span><span class="s1">'</span><span class="p">,</span> <span class="n">parse_to_pretty_string</span><span class="p">(</span><span class="n">parse</span><span class="p">,</span> <span class="n">show_sem</span><span class="o">=</span><span class="kc">True</span><span class="p">))</span>
<span class="nb">print</span><span class="p">(</span><span class="s1">'Denotation:'</span><span class="p">,</span> <span class="n">domain</span><span class="o">.</span><span class="n">execute</span><span class="p">(</span><span class="n">parse</span><span class="o">.</span><span class="n">semantics</span><span class="p">))</span>
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<h3 id="Question-1">Question 1<a class="anchor-link" href="#Question-1">¶</a></h3><p>Your task is to extend <code>ArithmeticDomain</code> to include the unary operators <code>squared</code> and <code>cubed</code>,
which form expressions like <code>three squared</code> and <code>nine cubed</code>. The following code will help
you get started on this. <strong>Submit</strong>: your completion of this code.</p>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="kn">from</span> <span class="nn">arithmetic</span> <span class="k">import</span> <span class="n">ArithmeticDomain</span>
<span class="kn">from</span> <span class="nn">parsing</span> <span class="k">import</span> <span class="n">Rule</span><span class="p">,</span> <span class="n">add_rule</span>
<span class="c1"># Resort to the original grammar to avoid repeatedly adding the same</span>
<span class="c1"># rules to the grammar during debugging, which multiplies the number</span>
<span class="c1"># of parses without changing the set of parses produced:</span>
<span class="n">math_domain</span> <span class="o">=</span> <span class="n">ArithmeticDomain</span><span class="p">()</span>
<span class="n">math_grammar</span> <span class="o">=</span> <span class="n">math_domain</span><span class="o">.</span><span class="n">grammar</span><span class="p">()</span>
<span class="c1"># Here's where your work should go:</span>
<span class="c1"># Add rules to the grammar:</span>
<span class="c1"># Extend domain.ops appropriately:</span>
<span class="c1"># Make sure things are working:</span>
<span class="n">display_examples</span><span class="p">((</span><span class="s1">'three squared'</span><span class="p">,</span> <span class="s1">'minus three squared'</span><span class="p">,</span> <span class="s1">'four cubed'</span><span class="p">),</span>
<span class="n">grammar</span><span class="o">=</span><span class="n">math_grammar</span><span class="p">,</span> <span class="n">domain</span><span class="o">=</span><span class="n">math_domain</span><span class="p">)</span>
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<h3 id="Question-2">Question 2<a class="anchor-link" href="#Question-2">¶</a></h3><p>Your task is to extend <code>ArithmeticDomain</code> to support numbers with decimals, so
that you can parse all expressions of the form <code>N point D</code> where <code>N</code> and <code>D</code> both denote
<code>int</code>s. You can assume that both numbers are both spelled out as single words, as in
"one point twelve" rather than "one point one two". (The grammar fragment has only "one",
"two", "three", and "four" anyway.) <strong>Submit</strong>: your completion of the following code.</p>
<p><strong>Important</strong>: your grammar should not create spurious parses like <code>(two times three) point four</code>.
This means that you can't treat <code>point</code> like the other binary operators in your syntactic grammar.
This will require you to add special rules to handle the internal structure of these decimal numbers.</p>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="kn">from</span> <span class="nn">arithmetic</span> <span class="k">import</span> <span class="n">ArithmeticDomain</span>
<span class="kn">from</span> <span class="nn">parsing</span> <span class="k">import</span> <span class="n">Rule</span><span class="p">,</span> <span class="n">add_rule</span>
<span class="c1"># Clear out the grammar; remove this if you want your question 1 </span>
<span class="c1"># extension to combine with these extensions:</span>
<span class="n">math_domain</span> <span class="o">=</span> <span class="n">ArithmeticDomain</span><span class="p">()</span>
<span class="n">math_grammar</span> <span class="o">=</span> <span class="n">math_domain</span><span class="o">.</span><span class="n">grammar</span><span class="p">()</span>
<span class="c1"># Remember to add these rules to the grammar!</span>
<span class="n">integer_rules</span> <span class="o">=</span> <span class="p">[</span>
<span class="n">Rule</span><span class="p">(</span><span class="s1">'$I'</span><span class="p">,</span> <span class="s1">'one'</span><span class="p">,</span> <span class="mi">1</span><span class="p">),</span>
<span class="n">Rule</span><span class="p">(</span><span class="s1">'$I'</span><span class="p">,</span> <span class="s1">'two'</span><span class="p">,</span> <span class="mi">2</span><span class="p">),</span>
<span class="n">Rule</span><span class="p">(</span><span class="s1">'$I'</span><span class="p">,</span> <span class="s1">'three'</span><span class="p">,</span> <span class="mi">3</span><span class="p">),</span>
<span class="n">Rule</span><span class="p">(</span><span class="s1">'$I'</span><span class="p">,</span> <span class="s1">'four'</span><span class="p">,</span> <span class="mi">4</span><span class="p">)</span> <span class="p">]</span>
<span class="n">tens_rules</span> <span class="o">=</span> <span class="p">[</span>
<span class="n">Rule</span><span class="p">(</span><span class="s1">'$T'</span><span class="p">,</span> <span class="s1">'one'</span><span class="p">,</span> <span class="mi">1</span><span class="p">),</span>
<span class="n">Rule</span><span class="p">(</span><span class="s1">'$T'</span><span class="p">,</span> <span class="s1">'two'</span><span class="p">,</span> <span class="mi">2</span><span class="p">),</span>
<span class="n">Rule</span><span class="p">(</span><span class="s1">'$T'</span><span class="p">,</span> <span class="s1">'three'</span><span class="p">,</span> <span class="mi">3</span><span class="p">),</span>
<span class="n">Rule</span><span class="p">(</span><span class="s1">'$T'</span><span class="p">,</span> <span class="s1">'four'</span><span class="p">,</span> <span class="mi">4</span><span class="p">)</span> <span class="p">]</span>
<span class="c1"># Add the above rules to math_grammar:</span>
<span class="c1"># Add rules to the grammar for using the above:</span>
<span class="c1"># Extend domain.ops:</span>
<span class="c1"># Make sure things are working:</span>
<span class="n">display_examples</span><span class="p">((</span><span class="s1">'four point two'</span><span class="p">,</span> <span class="s1">'minus four point one'</span><span class="p">,</span> <span class="s1">'two minus four point one'</span><span class="p">),</span>
<span class="n">grammar</span><span class="o">=</span><span class="n">math_grammar</span><span class="p">,</span> <span class="n">domain</span><span class="o">=</span><span class="n">math_domain</span><span class="p">)</span>
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<h3 id="Question-3">Question 3<a class="anchor-link" href="#Question-3">¶</a></h3><p>Extend the grammar to support the multi-word expression <code>the average of</code> as
in <code>the average of one and four</code>.
Your solution is required to treat each word in this multi-word expression as its own lexical item.
Other than that, you have a lot of design freedom.
Your solution can be limited to the case where the conjunction consists of just two numbers.
<strong>Submit</strong>: your completion of this starter code.</p>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="kn">from</span> <span class="nn">arithmetic</span> <span class="k">import</span> <span class="n">ArithmeticDomain</span>
<span class="kn">from</span> <span class="nn">parsing</span> <span class="k">import</span> <span class="n">Rule</span><span class="p">,</span> <span class="n">add_rule</span>
<span class="kn">import</span> <span class="nn">numpy</span> <span class="k">as</span> <span class="nn">np</span>
<span class="n">math_domain</span> <span class="o">=</span> <span class="n">ArithmeticDomain</span><span class="p">()</span>
<span class="n">math_grammar</span> <span class="o">=</span> <span class="n">math_domain</span><span class="o">.</span><span class="n">grammar</span><span class="p">()</span>
<span class="c1"># Add rules to the grammar:</span>
<span class="c1"># Extend domain.ops:</span>
<span class="c1"># Make sure things are working:</span>
<span class="n">display_examples</span><span class="p">((</span><span class="s1">'the one'</span><span class="p">,</span> <span class="s1">'the average of one and four'</span><span class="p">),</span>
<span class="n">grammar</span><span class="o">=</span><span class="n">math_grammar</span><span class="p">,</span> <span class="n">domain</span><span class="o">=</span><span class="n">math_domain</span><span class="p">)</span>
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<h2 id="Travel-domain">Travel domain<a class="anchor-link" href="#Travel-domain">¶</a></h2>
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<p>Here's an illustration of how parsing and interpretation work in this domain:</p>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="kn">from</span> <span class="nn">travel</span> <span class="k">import</span> <span class="n">TravelDomain</span>
<span class="n">travel_domain</span> <span class="o">=</span> <span class="n">TravelDomain</span><span class="p">()</span>
<span class="n">travel_grammar</span> <span class="o">=</span> <span class="n">travel_domain</span><span class="o">.</span><span class="n">grammar</span><span class="p">()</span>
<span class="n">display_examples</span><span class="p">(</span>
<span class="p">(</span><span class="s2">"flight from Boston to San Francisco"</span><span class="p">,</span>
<span class="s2">"directions from New York to Philadelphia"</span><span class="p">,</span>
<span class="s2">"directions New York to Philadelphia"</span><span class="p">),</span>
<span class="n">grammar</span><span class="o">=</span><span class="n">travel_grammar</span><span class="p">,</span>
<span class="n">domain</span><span class="o">=</span><span class="n">travel_domain</span><span class="p">)</span>
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<p>For these questions, we'll combine grammars with machine learning.
Here's now to train and evaluate a model using the grammar
that is included in <code>TravelDomain</code> along with a basic feature
function.</p>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="kn">from</span> <span class="nn">travel</span> <span class="k">import</span> <span class="n">TravelDomain</span>
<span class="kn">from</span> <span class="nn">scoring</span> <span class="k">import</span> <span class="n">Model</span>
<span class="kn">from</span> <span class="nn">experiment</span> <span class="k">import</span> <span class="n">train_test</span>
<span class="kn">from</span> <span class="nn">travel_examples</span> <span class="k">import</span> <span class="n">travel_train_examples</span><span class="p">,</span> <span class="n">travel_test_examples</span>
<span class="kn">from</span> <span class="nn">collections</span> <span class="k">import</span> <span class="n">defaultdict</span>
<span class="n">travel_domain</span> <span class="o">=</span> <span class="n">TravelDomain</span><span class="p">()</span>
<span class="n">travel_grammar</span> <span class="o">=</span> <span class="n">travel_domain</span><span class="o">.</span><span class="n">grammar</span><span class="p">()</span>
<span class="k">def</span> <span class="nf">basic_feature_function</span><span class="p">(</span><span class="n">parse</span><span class="p">):</span>
<span class="sd">"""Features for the rule used for the root node and its children"""</span>
<span class="n">features</span> <span class="o">=</span> <span class="n">defaultdict</span><span class="p">(</span><span class="nb">float</span><span class="p">)</span>
<span class="n">features</span><span class="p">[</span><span class="nb">str</span><span class="p">(</span><span class="n">parse</span><span class="o">.</span><span class="n">rule</span><span class="p">)]</span> <span class="o">+=</span> <span class="mf">1.0</span>
<span class="k">for</span> <span class="n">child</span> <span class="ow">in</span> <span class="n">parse</span><span class="o">.</span><span class="n">children</span><span class="p">:</span>
<span class="n">features</span><span class="p">[</span><span class="nb">str</span><span class="p">(</span><span class="n">child</span><span class="o">.</span><span class="n">rule</span><span class="p">)]</span> <span class="o">+=</span> <span class="mf">1.0</span>
<span class="k">return</span> <span class="n">features</span>
<span class="c1"># This code evaluates the current grammar: </span>
<span class="n">train_test</span><span class="p">(</span>
<span class="n">model</span><span class="o">=</span><span class="n">Model</span><span class="p">(</span><span class="n">grammar</span><span class="o">=</span><span class="n">travel_grammar</span><span class="p">,</span> <span class="n">feature_fn</span><span class="o">=</span><span class="n">basic_feature_function</span><span class="p">),</span>
<span class="n">train_examples</span><span class="o">=</span><span class="n">travel_train_examples</span><span class="p">,</span>
<span class="n">test_examples</span><span class="o">=</span><span class="n">travel_test_examples</span><span class="p">,</span>
<span class="n">print_examples</span><span class="o">=</span><span class="kc">False</span><span class="p">)</span>
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<h3 id="Question-4">Question 4<a class="anchor-link" href="#Question-4">¶</a></h3><p>With the default travel grammar, many of the errors on training examples occur because the origin
isn't marked by "from". You might have noticed that "directions New York to Philadelphia"
is not handled properly in our opening example. Other examples include
"transatlantic cruise southampton to tampa",
"fly boston to myrtle beach spirit airlines", and
"distance usa to peru". <strong>Your tasks</strong>: (i) extend the grammar with a single rule to handle examples
like these, and run another evaluation using this expanded grammar (submit your completion
of the following starter code); (ii) in 1–2 sentences,
summarize what happened to the post-training performance metrics when this rule was added.</p>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="kn">from</span> <span class="nn">travel</span> <span class="k">import</span> <span class="n">TravelDomain</span>
<span class="kn">from</span> <span class="nn">parsing</span> <span class="k">import</span> <span class="n">Rule</span><span class="p">,</span> <span class="n">add_rule</span>
<span class="kn">from</span> <span class="nn">scoring</span> <span class="k">import</span> <span class="n">Model</span>
<span class="kn">from</span> <span class="nn">experiment</span> <span class="k">import</span> <span class="n">train_test</span>
<span class="kn">from</span> <span class="nn">travel_examples</span> <span class="k">import</span> <span class="n">travel_train_examples</span><span class="p">,</span> <span class="n">travel_test_examples</span>
<span class="n">travel_domain</span> <span class="o">=</span> <span class="n">TravelDomain</span><span class="p">()</span>
<span class="n">travel_grammar</span> <span class="o">=</span> <span class="n">travel_domain</span><span class="o">.</span><span class="n">grammar</span><span class="p">()</span>
<span class="c1"># Add your rule here:</span>
<span class="c1"># This code evaluates the new grammar:</span>
<span class="n">train_test</span><span class="p">(</span>
<span class="n">model</span><span class="o">=</span><span class="n">Model</span><span class="p">(</span><span class="n">grammar</span><span class="o">=</span><span class="n">travel_grammar</span><span class="p">,</span> <span class="n">feature_fn</span><span class="o">=</span><span class="n">basic_feature_function</span><span class="p">),</span>
<span class="n">train_examples</span><span class="o">=</span><span class="n">travel_train_examples</span><span class="p">,</span>
<span class="n">test_examples</span><span class="o">=</span><span class="n">travel_test_examples</span><span class="p">,</span>
<span class="n">print_examples</span><span class="o">=</span><span class="kc">False</span><span class="p">)</span>
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<h3 id="Question-5">Question 5<a class="anchor-link" href="#Question-5">¶</a></h3><p>Your extended grammar for question 4 likely did some harm to the space of parses we
consider. Consider how <code>number of parses</code> has changed. (If it's not intuitively clear why,
check out some of the parses to see what's happening!)</p>
<p><strong>Your task</strong>: to try to make amends, expand the feature function to improve the
ability of the optimizer to distinguish good parses from bad. You can write your
own function and/or combine it with scoring functions that are available inside
SippyCup. You should be able to achieve a gain in post-training train and
test <code>semantics accuracy</code>. (Note: you should <em>not</em> spend hours continually improving
your score unless you are planning to develop this into a project. Any gain over
the previous run will suffice here.) <strong>Submit</strong>: your completion of this code.</p>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="kn">from</span> <span class="nn">parsing</span> <span class="k">import</span> <span class="n">Parse</span>
<span class="k">def</span> <span class="nf">expanded_feature_function</span><span class="p">(</span><span class="n">parse</span><span class="p">):</span>
<span class="k">pass</span>
<span class="c1"># Evaluate the new grammar:</span>
<span class="n">train_test</span><span class="p">(</span>
<span class="n">model</span><span class="o">=</span><span class="n">Model</span><span class="p">(</span><span class="n">grammar</span><span class="o">=</span><span class="n">travel_grammar</span><span class="p">,</span> <span class="n">feature_fn</span><span class="o">=</span><span class="n">expanded_feature_function</span><span class="p">),</span>
<span class="n">train_examples</span><span class="o">=</span><span class="n">travel_train_examples</span><span class="p">,</span>
<span class="n">test_examples</span><span class="o">=</span><span class="n">travel_test_examples</span><span class="p">,</span>
<span class="n">print_examples</span><span class="o">=</span><span class="kc">False</span><span class="p">)</span>
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<h2 id="GeoQuery-domain">GeoQuery domain<a class="anchor-link" href="#GeoQuery-domain">¶</a></h2>
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<p>Here are a few simple examples from the GeoQuery domain:</p>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="kn">from</span> <span class="nn">geoquery</span> <span class="k">import</span> <span class="n">GeoQueryDomain</span>
<span class="n">geo_domain</span> <span class="o">=</span> <span class="n">GeoQueryDomain</span><span class="p">()</span>
<span class="n">geo_grammar</span> <span class="o">=</span> <span class="n">geo_domain</span><span class="o">.</span><span class="n">grammar</span><span class="p">()</span>
<span class="n">display_examples</span><span class="p">(</span>
<span class="p">(</span><span class="s2">"what is the biggest city in california ?"</span><span class="p">,</span>
<span class="s2">"how many people live in new york ?"</span><span class="p">,</span>
<span class="s2">"where is rochester ?"</span><span class="p">),</span>
<span class="n">grammar</span><span class="o">=</span><span class="n">geo_grammar</span><span class="p">,</span>
<span class="n">domain</span><span class="o">=</span><span class="n">geo_domain</span><span class="p">)</span>
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<p>And we can train models just as we did for the travel domain, though we have to be more
attentive to special features of semantic parsing in this domain. Here's a run with the
default scoring model, metrics, etc.:</p>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="kn">from</span> <span class="nn">geoquery</span> <span class="k">import</span> <span class="n">GeoQueryDomain</span>
<span class="kn">from</span> <span class="nn">scoring</span> <span class="k">import</span> <span class="n">Model</span>
<span class="kn">from</span> <span class="nn">experiment</span> <span class="k">import</span> <span class="n">train_test</span>
<span class="n">geo_domain</span> <span class="o">=</span> <span class="n">GeoQueryDomain</span><span class="p">()</span>
<span class="n">geo_grammar</span> <span class="o">=</span> <span class="n">geo_domain</span><span class="o">.</span><span class="n">grammar</span><span class="p">()</span>
<span class="c1"># We'll use this as our generic assessment interface for these questions:</span>
<span class="k">def</span> <span class="nf">special_geo_evaluate</span><span class="p">(</span><span class="n">grammar</span><span class="o">=</span><span class="kc">None</span><span class="p">,</span> <span class="n">feature_fn</span><span class="o">=</span><span class="n">geo_domain</span><span class="o">.</span><span class="n">features</span><span class="p">):</span>
<span class="c1"># Build the model by hand so that we can see all the pieces:</span>
<span class="n">geo_mod</span> <span class="o">=</span> <span class="n">Model</span><span class="p">(</span>
<span class="n">grammar</span><span class="o">=</span><span class="n">grammar</span><span class="p">,</span>
<span class="n">feature_fn</span><span class="o">=</span><span class="n">feature_fn</span><span class="p">,</span>
<span class="n">weights</span><span class="o">=</span><span class="n">geo_domain</span><span class="o">.</span><span class="n">weights</span><span class="p">(),</span>
<span class="n">executor</span><span class="o">=</span><span class="n">geo_domain</span><span class="o">.</span><span class="n">execute</span><span class="p">)</span>
<span class="c1"># This can be done with less fuss using experiment.train_test_for_domain, </span>
<span class="c1"># but we want full access to the model, metrics, etc.</span>
<span class="n">train_test</span><span class="p">(</span>
<span class="n">model</span><span class="o">=</span><span class="n">geo_mod</span><span class="p">,</span>
<span class="n">train_examples</span><span class="o">=</span><span class="n">geo_domain</span><span class="o">.</span><span class="n">train_examples</span><span class="p">(),</span>
<span class="n">test_examples</span><span class="o">=</span><span class="n">geo_domain</span><span class="o">.</span><span class="n">test_examples</span><span class="p">(),</span>
<span class="n">metrics</span><span class="o">=</span><span class="n">geo_domain</span><span class="o">.</span><span class="n">metrics</span><span class="p">(),</span>
<span class="n">training_metric</span><span class="o">=</span><span class="n">geo_domain</span><span class="o">.</span><span class="n">training_metric</span><span class="p">(),</span>
<span class="n">seed</span><span class="o">=</span><span class="mi">0</span><span class="p">,</span>
<span class="n">print_examples</span><span class="o">=</span><span class="kc">False</span><span class="p">)</span>
<span class="n">special_geo_evaluate</span><span class="p">(</span><span class="n">grammar</span><span class="o">=</span><span class="n">geo_grammar</span><span class="p">)</span>
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<h3 id="Question-6">Question 6<a class="anchor-link" href="#Question-6">¶</a></h3><p>Two deficiencies of the current grammar:</p>
<ul>
<li><p>The words "where" and "is" are treated as being of category <code>$Optional</code>, which means they are ignored. As a result, the grammar construes all questions of the form "where is X" as being about the identity of X!</p>
</li>
<li><p>Queries like "how many people live in Florida" are not handled correctly.</p>
</li>
</ul>
<p><strong>Your task</strong>: Add grammar rules that address these problems and assess impact of the changes
using the <code>train_test</code> based interface illustrated above.
<strong>Submit</strong>: your expanded version of the starter code below.</p>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="kn">from</span> <span class="nn">geoquery</span> <span class="k">import</span> <span class="n">GeoQueryDomain</span>
<span class="kn">from</span> <span class="nn">parsing</span> <span class="k">import</span> <span class="n">Rule</span><span class="p">,</span> <span class="n">add_rule</span>
<span class="n">geo_domain</span> <span class="o">=</span> <span class="n">GeoQueryDomain</span><span class="p">()</span>
<span class="n">geo_grammar</span> <span class="o">=</span> <span class="n">geo_domain</span><span class="o">.</span><span class="n">grammar</span><span class="p">()</span>
<span class="c1"># Your rules go here:</span>
<span class="c1"># Evaluation of the new grammar:</span>
<span class="n">special_geo_evaluate</span><span class="p">(</span><span class="n">grammar</span><span class="o">=</span><span class="n">geo_grammar</span><span class="p">)</span>
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<h3 id="Question-7">Question 7<a class="anchor-link" href="#Question-7">¶</a></h3><p>The success of the <code>empty_denotation</code> feature demonstrates the potential of denotation features. Can we go further? Experiment with a feature or features that characterize the <em>size</em> of the denotation (that is, the number of answers). This will involve extending <code>geo_domain.features</code> and running another assessment. <strong>Submit</strong>: your completion of the
code below and 1–2 sentences saying how this feature seems to behave in the model.</p>
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<div class=" highlight hl-ipython3"><pre><span></span><span class="kn">from</span> <span class="nn">geoquery</span> <span class="k">import</span> <span class="n">GeoQueryDomain</span>
<span class="k">def</span> <span class="nf">feature_function</span><span class="p">(</span><span class="n">parse</span><span class="p">):</span>
<span class="c1"># Bring in all the default features:</span>
<span class="n">f</span> <span class="o">=</span> <span class="n">geo_domain</span><span class="o">.</span><span class="n">features</span><span class="p">(</span><span class="n">parse</span><span class="p">)</span>
<span class="c1"># Extend dictionary f with your new denotation-count feature</span>
<span class="k">return</span> <span class="n">f</span>
<span class="c1"># Evaluation of the new grammar:</span>
<span class="n">special_geo_evaluate</span><span class="p">(</span><span class="n">grammar</span><span class="o">=</span><span class="n">geo_grammar</span><span class="p">,</span> <span class="n">feature_fn</span><span class="o">=</span><span class="n">feature_function</span><span class="p">)</span>
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