⚡ Bolt: Cache redundant matrix inversions in vuongtest.R#12
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Extract identical `chol2inv(chol(A))` calls into variables to eliminate redundant O(n^3) matrix inversions, improving computational efficiency for the Vuong test on large matrices.
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Pull request overview
This PR optimizes calcLambda() in R/vuongtest.R by caching repeated chol2inv(chol(A)) computations into intermediate variables, reducing redundant matrix inversions during Vuong test calculations (notably beneficial for large covariance matrices / parameter counts).
Changes:
- Cache
chol2inv(chol(AB1$A))andchol2inv(chol(AB2$A))intoinvA1/invA2and reuse them when buildingW. - Add an internal
.jules/bolt.mdnote documenting the optimization pattern (avoid redundant inversions in formulaic translations).
Reviewed changes
Copilot reviewed 2 out of 2 changed files in this pull request and generated no comments.
| File | Description |
|---|---|
| R/vuongtest.R | Avoids duplicate matrix inversions in calcLambda() by reusing cached invA1/invA2 when constructing W. |
| .jules/bolt.md | Documents the general performance lesson and action item for future similar optimizations. |
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💡 What: Extracted redundant
chol2inv(chol(AB1$A))andchol2inv(chol(AB2$A))computations into variablesinvA1andinvA2in thecalcLambdafunction withinR/vuongtest.R.🎯 Why: Formulaic translation of math equations into code often results in repeated identical calculations. In this case, matrix inversions (an$O(n^3)$ operation) were computed twice for each block matrix component.
📊 Impact: Reduces matrix inversions in the
calcLambdastep by 50% (from 4 down to 2 operations), which will significantly improve execution time for comparisons involving models with many parameters or very large covariance matrices.🔬 Measurement: Verify by running the
vuongtest()function on two nested models with large parameter spaces and measuring execution time with and without the patch. The optimization is mathematically equivalent and verified to be safe.PR created automatically by Jules for task 4387574010166644118 started by @seonghobae