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Custom Similarity Search for Vectors

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Problem

Write a function to implement a custom similarity search algorithm for high-dimensional vectors. Implement seeded random-hyperplane locality-sensitive hashing, probe each query bucket and its one-bit neighbors, then rank candidates by cosine similarity. Return up to k original vector indices, ordered by decreasing similarity and increasing index for ties. If fewer than k candidates are found, rank all vectors. Zero vectors have similarity 1 to another zero vector and 0 to any nonzero vector.

Input/output: vectors and query are numeric lists, while k, num_tables, num_planes, and seed are integers. Return a list of indices.

Constraints

  • 1 <= len(vectors) <= 1000
  • 1 <= len(query) <= 64
  • Every vector has the same dimension as query
  • 1 <= k <= len(vectors)
  • 1 <= num_tables <= 20
  • 1 <= num_planes <= 20
  • 0 <= seed <= 10^9
  • Vector coordinates are integers in [-10^6, 10^6]

Function Signature

def similarity_search(vectors, query, k, num_tables, num_planes, seed):
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