Optimize the cosine_similarity_top_k function performance (#8151)

Optimizing important numerical code and making it run faster.

Performance went up by 1.48x (148%). Runtime went down from 138715us to
56020us

Optimization explanation:

The `cosine_similarity_top_k` function is where we made the most
significant optimizations.
Instead of sorting the entire score_array which needs considering all
elements, `np.argpartition` is utilized to find the top_k largest scores
indices, this operation has a time complexity of O(n), higher
performance than sorting. Remember, `np.argpartition` doesn't guarantee
the order of the values. So we need to use argsort() to get the indices
that would sort our top-k values after partitioning, which is much more
efficient because it only sorts the top-K elements, not the entire
array. Then to get the row and column indices of sorted top_k scores in
the original score array, we use `np.unravel_index`. This operation is
more efficient and cleaner than a list comprehension.

The code has been tested for correctness by running the following
snippet on both the original function and the optimized function and
averaged over 5 times.
```
def test_cosine_similarity_top_k_large_matrices():
    X = np.random.rand(1000, 1000)
    Y = np.random.rand(1000, 1000)
    top_k = 100
    score_threshold = 0.5
    gc.disable()
    counter = time.perf_counter_ns()
    return_value = cosine_similarity_top_k(X, Y, top_k, score_threshold)
    duration = time.perf_counter_ns() - counter
    gc.enable()
```

@hwaking @hwchase17 @jerwelborn 

Unit tests pass, I also generated more regression tests which all
passed.
This commit is contained in:
Saurabh Misra 2023-07-26 18:03:49 -07:00 committed by GitHub
parent ddc353a768
commit db9d5b213a
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@ -46,11 +46,11 @@ def cosine_similarity_top_k(
if len(X) == 0 or len(Y) == 0:
return [], []
score_array = cosine_similarity(X, Y)
sorted_idxs = score_array.flatten().argsort()[::-1]
top_k = top_k or len(sorted_idxs)
top_idxs = sorted_idxs[:top_k]
score_threshold = score_threshold or -1.0
top_idxs = top_idxs[score_array.flatten()[top_idxs] > score_threshold]
ret_idxs = [(x // score_array.shape[1], x % score_array.shape[1]) for x in top_idxs]
scores = score_array.flatten()[top_idxs].tolist()
return ret_idxs, scores
score_array[score_array < score_threshold] = 0
top_k = min(top_k or len(score_array), np.count_nonzero(score_array))
top_k_idxs = np.argpartition(score_array, -top_k, axis=None)[-top_k:]
top_k_idxs = top_k_idxs[np.argsort(score_array.ravel()[top_k_idxs])][::-1]
ret_idxs = np.unravel_index(top_k_idxs, score_array.shape)
scores = score_array.ravel()[top_k_idxs].tolist()
return list(zip(*ret_idxs)), scores # type: ignore