Belangrijkste concepten
Efficiently compute terminal embeddings in sublinear time.
Samenvatting
The article introduces terminal embeddings from one metric space to another with designated terminals, focusing on achieving distortion and preserving distances. It discusses the challenges of prior work and presents a new data structure for computing terminal embeddings efficiently. The approach leverages tools from approximate nearest neighbor search to achieve sublinear time complexity. The article also highlights the significance of terminal embeddings for adaptive queries in high-dimensional problems, addressing the limitations of existing methods. Overall, it provides insights into optimizing data structures for efficient computation of terminal embeddings.
Statistieken
Distortion 1 + π is achievable via terminal embedding with π = π(πβ2 log |π|)
Computing terminal embedding image of any π β Rπ in sublinear time πβ(π1βΞ(π2) + π)
Space complexity of data structure for terminal embedding is at most πβ(ππ)