Concurrent Linearizable Nearest Neighbour Search in LockFree-kD-tree
Report, 2015

The Nearest neighbour search (NNS) is an important problem in a large number of application domains dealing with multidimensional data. In concurrent settings, where dynamic modi?cations are allowed, a linearizable implementation of NNS is highly desirable to discover the latest nearest neighbour of a given target data-point. In this paper, we introduce the LockFree-kD-tree (LFkD-tree): a lock-free concurrent kD-tree, which implements an abstract data type (ADT) that provides the operations Add, Remove, Contains, and NNS. Our implementation is linearizable. The operations in the LFkD-tree use single-word read and compare-and-swap (CAS) atomic primitives, which are readily supported on commonly available multi-core processors. We experimentally evaluate the LFkD-tree using several benchmarks comprising real-world and synthetic datasets. The experiments show that the presented design is scalable and achieves significant speed-up compared to the implementations of an existing sequential kD-tree and a recently proposed multidimensional indexing structure, PH-tree.




nearest neighbor search

concurrent data structure

similarity search


Bapi Chatterjee

Chalmers, Computer Science and Engineering (Chalmers), Networks and Systems (Chalmers)

Ivan Walulya

Chalmers, Computer Science and Engineering (Chalmers), Networks and Systems (Chalmers)

Philippas Tsigas

Chalmers, Computer Science and Engineering (Chalmers), Networks and Systems (Chalmers)

Areas of Advance

Information and Communication Technology

Subject Categories

Software Engineering

Information Science

Computer Science

Technical report - Department of Computer Science and Engineering, Chalmers University of Technology and Göteborg University

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