Support sparse output for sandwich products
Open
Nobody has claimed this yet.
enhancement
on hold
- Dominant language
- Python
- Stars
- 140
- Forks
- 10
- Avg merge
- 18h 17m
- Merged PRs (30d)
- 2
Description
There are situations where we can expect ahead of time that the output of a sandwich product will be sparse:
- If the data is dominated by one very high-dimensional categorical. For example, say there are D dense columns, and M categorical columns. The fraction of nonzeros in the resulting sandwich product will be at most
(D^2 + 2 DM + M) / (D + M)^2. IfM >> Dthis matrix will be quite sparse. This could happen in an e-commerce pricing context, if features are a categorical product ID that is very high-dimensional and a small number of scalars. - Perhaps we have computed
x.sandwich(d1)and now we want to knowx.sandwich(d2). The latter will have the same sparsity pattern as the former. - We can analytically upper-bound the number of nonzero elements in a sandwich product of categoricals using the number of rows. If the data is made up mainly of categoricals and is very wide relative to its length, its sandwich product will be fairly sparse. This would be true in, for example, the German employer-employee data set used in the AKM papers. Since a typical worker will usually not have worked for a randomly-chosen firm, the sandwich product would be very sparse.
Contributor guide
First steps
- Read the whole issue, then the project's contributing guide.
- Comment on the issue to say you are picking it up — it saves two people doing the same work.
- Fork the repository and make your change on a branch.
- Open a pull request that references the issue number.
Research direction
No files, tests, or entry points are named in the issue. Start by locating the existing sandwich-product implementation and its tests, then determine how sparse output should be represented and selected for the described cases. Done means the supported sparse cases are defined, implemented, and covered by tests.
Written by the indexing model from the issue text.
Assessment
- Tech stack
- python
- Domain
- data, performance
- Issue type
- Feature
- Difficulty
- 5/5
- Estimated time
- Over a week
- Activity status
- Stale
- Clarity
- Needs clarification
- Newbie friendliness
- 25/100