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Fast k Nearest Neighbor Search using GPU (0804.1448v1)

Published 9 Apr 2008 in cs.CV and cs.DC

Abstract: The recent improvements of graphics processing units (GPU) offer to the computer vision community a powerful processing platform. Indeed, a lot of highly-parallelizable computer vision problems can be significantly accelerated using GPU architecture. Among these algorithms, the k nearest neighbor search (KNN) is a well-known problem linked with many applications such as classification, estimation of statistical properties, etc. The main drawback of this task lies in its computation burden, as it grows polynomially with the data size. In this paper, we show that the use of the NVIDIA CUDA API accelerates the search for the KNN up to a factor of 120.

Citations (563)

Summary

  • The paper demonstrates a GPU-accelerated brute force KNN method that achieves up to 120x faster performance compared to traditional C implementations.
  • It shows that the BF-CUDA approach remains robust in higher dimensions by efficiently handling large datasets with minimal sensitivity to increased complexity.
  • The study highlights that leveraging GPU parallelism can transform computational tasks in classification, clustering, and content-based image retrieval.

Fast k Nearest Neighbor Search using GPU

The paper "Fast k Nearest Neighbor Search using GPU" by Vincent Garcia, Eric Debreuve, and Michel Barlaud introduces a method for significantly accelerating the computation of the k Nearest Neighbor (KNN) search using Graphics Processing Units (GPUs) and the NVIDIA CUDA API. The authors harness the parallel processing capabilities of GPUs to address the computational burden traditionally associated with KNN, offering important improvements in performance.

Overview

KNN search is a critical operation with applications in classification, clustering, and content-based image retrieval (CBIR), among others. The process involves finding the k closest data points from a set of reference points for each query point based on a specified distance metric. Given its computational complexity, traditionally scaling polynomially with the size of the data, KNN can become a bottleneck, especially in high-dimensional spaces.

The authors focus on the brute force (BF) method for KNN, emphasizing its suitability for GPU acceleration due to its parallelizable nature. They report a speed-up factor of up to 120 times when using NVIDIA's CUDA API compared to a conventional C implementation. Furthermore, the paper finds that the space dimension affects computation time significantly less when utilizing GPU acceleration, which is a considerable advantage over traditional methods.

Numerical Results

The experiments conducted by the authors compare different implementations: a BF method in Matlab and C, a KDT method using a kd-tree structure, and the BF method using CUDA (BF-CUDA). The CUDA implementation outperforms the other methods significantly in most scenarios. For example, with 38,400 reference and query points in a 96-dimensional space, BF-CUDA reduces computation time to 43 seconds from roughly an hour for the Matlab and C implementations and 20 minutes for the KDT approach.

The results reveal that, although data transfer between CPU and GPU can become a limiting factor in low-dimensional cases, for dimensions greater than 8, BF-CUDA provides the most substantial performance benefits. Additionally, the CUDA-based method shows minimal sensitivity to the increase in dimensionality, unlike the other implementations.

Implications and Future Directions

This work provides a practical advancement for applications relying on KNN computations by leveraging GPUs to drastically reduce processing times. The paper's findings suggest that the BF-CUDA implementation can handle larger datasets and higher dimensions, offering opportunities for enhanced precision in applications such as CBIR.

In terms of theoretical implications, this research highlights the potential of GPUs to transform computational techniques in data-intensive tasks. Future developments might explore further optimizations within GPU architectures or the application of similar strategies to other computationally challenging algorithms in computer vision and machine learning.

Overall, this paper contributes valuable insights into how modern hardware can be effectively used to address long-standing computational challenges, opening paths for further exploration and adoption across various domains requiring efficient data processing capabilities.