Consensus cookery

March 20, 2018

Sometimes when I want a recipe to cook something new I will find several recipes for the same thing and try to use them as a guide to generate an average or “consensus” recipe. This code should make it easy to generate consensus recipes (useful!) and also show variation between recipes (interesting!).

Finding a consensus recipe requires first clustering many recipes. This is because a single recipe (e.g. a recipe for brownies) might have many significant variations (e.g. brownies can have just cocoa, just chocolate, or both). This code will first cluster recipes and then use the clusters to deliver the consensus recipe.

Example

The quick-and-dirty implementation goes like this:

  1. Choose a recipe (e.g. brownies, crepes, pancakes).
  2. Search using duckduckgo.com to find hundreds of corresponding recipes (fetch_urls.js).
  3. Download all the recipes and use pandoc to convert to text for processing.
  4. Use a really simple (read: bad) context-extractor to grab ingredients.
  5. Cluster the recipes based on the presence of ingredients.
  6. Take the median values for ingredients in a given cluster to create an average recipe.

The context-extractor works by finding the most likely “ingredient” section in the web page and then trying to parse those ingredients using a greedy search from a list of likely ingredients (top_5k.txt). Its not a great implementation. However, the errors in it are pretty random, which means you can get okay results as long as you have ~hundreds of recipes.

The median values are used, rather than the mean, so its less susceptible to bad parsing of the quantity. Again, as long as the parser is okay, it should be accurate enough.

Here’s some examples of running the code (check out the code on Github).

Brownies

As mentioned, brownies are sometimes made with cocoa, sometimes chocolate, and sometimes both. Interestingly the machine learning automatically detects this.

Here’s the biggest “brownie” cluster which shows ingredients for a consensus recipe made with chocolate (made up of 44 recipes). The Rel. Freq. corresponds to the percentage of recipes that contain that ingredient.

cluster 0 (n=44)
+------------+-------------+------------+
| Ingredient |    Amount   | Rel. Freq. |
+------------+-------------+------------+
|   butter   |  4 1/2 tbsp |     98     |
| chocolate  |  4 1/2 tbsp |     93     |
|    eggs    | 1 5/8 whole |     93     |
|   flour    |  6 3/4 tbsp |     80     |
|    salt    |   1/4 tsp   |     50     |
|   sugar    |   3/4 cup   |     91     |
|  vanilla   |   1/2 tsp   |     70     |
+------------+-------------+------------+

The next biggest cluster shows ingredients for a brownie recipe that is made with cocoa powder. (Also it uses baking powder unlike the previous recipe).

cluster 11 (n=28)
+---------------+------------+------------+
|   Ingredient  |   Amount   | Rel. Freq. |
+---------------+------------+------------+
| baking powder |  1/4 tsp   |     86     |
|     cocoa     | 3 1/4 tbsp |     71     |
|      eggs     | 1.0 whole  |     57     |
|     flour     |  5.0 tbsp  |     93     |
|      salt     |  1/4 tsp   |     79     |
|     sugar     | 7 1/4 tbsp |     93     |
|    vanilla    |  1/4 tsp   |     68     |
+---------------+------------+------------+

The third biggest cluster shows ingredients for a brownie recipe that uses both chocolate and cocoa.

cluster 4 (n=28)
+-------------+-------------+------------+
|  Ingredient |    Amount   | Rel. Freq. |
+-------------+-------------+------------+
| brown sugar |   6.0 tbsp  |    100     |
|    butter   |  6 3/4 tbsp |    100     |
|  chocolate  |  6 1/2 tbsp |     89     |
|    cocoa    |  5 3/4 tbsp |     54     |
|     eggs    | 1 7/8 whole |    104     |
|    flour    |   1/2 cup   |     89     |
|     salt    |   3/8 tsp   |     86     |
|    sugar    |   1/2 cup   |    100     |
|   vanilla   |   3/8 tsp   |    100     |
+-------------+-------------+------------+

You may notice that the proportions are odd (1 7/8 eggs!) which is because the program tries to normalize the recipes to a specified volume, and then converts them back to the median volume in all the recipe cluster.

Pancakes

The machine learning clustering highlights the major difference between pancakes - whether they are buttermilk or not. These are the first two biggest clusters, where the first one has milk and the second uses buttermilk.

cluster 15 (n=33)
+---------------+-------------+------------+
|   Ingredient  |    Amount   | Rel. Freq. |
+---------------+-------------+------------+
| baking powder |   1/8 tsp   |    100     |
|     butter    |   1/2 tsp   |    103     |
|      eggs     | 1 1/4 whole |     97     |
|     flour     |  1 1/4 cup  |    100     |
|      milk     |  1 1/8 cup  |     94     |
|      salt     |   1/2 tsp   |     94     |
|     sugar     |  1 1/2 tsp  |    100     |
+---------------+-------------+------------+
cluster 14 (n=29)
+---------------+-------------+------------+
|   Ingredient  |    Amount   | Rel. Freq. |
+---------------+-------------+------------+
| baking powder |   5/8 tsp   |    100     |
|  baking soda  |   1/2 tsp   |     97     |
|     butter    |   1/2 tsp   |    100     |
|   buttermilk  |  1 1/4 cup  |     97     |
|      eggs     | 1 1/8 whole |     97     |
|     flour     |  1 1/8 cup  |    100     |
|      salt     |   3/8 tsp   |     90     |
|     sugar     |  1 1/4 tsp  |    103     |
|    vanilla    |   5/8 tsp   |     41     |
+---------------+-------------+------------+

Homemade noodles

The machine learning clustering picks up on an important distinction within noodle making - whether to use semolina or flour.

cluster 18 (n=24)
+------------+-------------+------------+
| Ingredient |    Amount   | Rel. Freq. |
+------------+-------------+------------+
|    eggs    | 2 1/2 whole |     83     |
|   flour    |  2 3/8 cup  |    129     |
|    salt    |   5/8 tsp   |     75     |
|   water    |  6 3/8 tbsp |    100     |
+------------+-------------+------------+
cluster 14 (n=16)
+------------+------------+------------+
| Ingredient |   Amount   | Rel. Freq. |
+------------+------------+------------+
|    eggs    | 2.0 whole  |    112     |
|   flour    | 1 3/8 cup  |    119     |
| olive oil  | 2 7/8 tsp  |     94     |
|    salt    |  5/8 tsp   |     75     |
|  semolina  |  1.0 cup   |     31     |
|   water    | 3 7/8 tbsp |     75     |
+------------+------------+------------+

Hamburger

Here’s a funny thing. If you are not too specific about the recipe you want, you might get clusters of truly different recipes. Consider the hamburger.

The biggest cluster for hamburger is obviously a list of ingredients for a hamburger recipe albeit the proportions are off (you can just multiple the amounts by some factor).

+----------------------+------------+------------+
|      Ingredient      |   Amount   | Rel. Freq. |
+----------------------+------------+------------+
|         beef         | 3 5/8 tbsp |     87     |
|         eggs         | 3/8 whole  |     33     |
|        garlic        | 6 1/2 tbsp |     77     |
|        onion         | 4 1/8 tbsp |     50     |
|         salt         |  1/4 tsp   |     40     |
| worcestershire sauce |  1.0 tsp   |     47     |
+----------------------+------------+------------+

Interestingly, one of the next biggest clusters is not a hamburger - it has no meat in it! Looking at it closer though it is obviously a hamburger bun recipe, which the machine learning clustering automatically detected. Lol.

+------------+-----------+------------+
| Ingredient |   Amount  | Rel. Freq. |
+------------+-----------+------------+
|   butter   |  1.0 tsp  |     53     |
|    eggs    | 7/8 whole |     79     |
|   flour    | 2 3/8 cup |     95     |
|    milk    |  3/4 cup  |     37     |
|    salt    |  7/8 tsp  |     74     |
|   sugar    | 3 1/8 tsp |     95     |
|   water    |  5/8 cup  |     79     |
|   yeast    |  5/8 tsp  |     79     |
+------------+-----------+------------+

Try it

Check it out on Github to try it yourself.


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Written on 20 March 2018. Categories: coding, food.

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