Should The Same FAISS k-NN Query Yield The Same Results Each Time?

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Describe the issue:
I am using OpenSearch k-NN with FAISS (HNSW method). I am finding that without changing my underlying index, the same k-NN query yields different results (i.e. it is non-deterministic).

I would have thought that any non-determinism would be in the indexing path and not in the query path. Is this non-determinism expected? Note that I am using efficient pre-filtering, which could potentially also contribute to non-determinism.

Another interesting fact: when I change k to be much greater than size, I find that the non-determinism goes away.

Here’s an example query:

GET my_index/_search
 "size": 50,
 "fields": ["_id"],
 "_source": false,
 "query": {
   "knn": {
     "my_knn_field": {
       "k": 1000,
       "filter": {
         "bool": {
           "must": [{
             "terms": {
               "some_field": [123, 456, 789]
       "vector": [1, 2, 3, 4, 5]
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