Toward Robust Distance Metric Analysis for Similarity Estimation

Abstract

In this paper, we present a general guideline to establish the relation between a distribution model and its corresponding similarity estimation, A rich set of distance metrics, such as harmonic distance and geometric distance, is derived according to Maximum Likelihood theory. These metrics can provide a more accurate feature model than the conventional Euclidean distance (BSD) and Manhattan distance (SAD), Because the feature elements are from heterogeneous sources and may have different influence on similarity estimation, the assumption of single Isotropic distribution model is often inappropriate. We propose a novel boosted distance metric that not only finds the best distance metric that fits the distribution of the underlying elements but also selects the most important feature elements with respect to similarity. We experiment with different distance metrics for similarity estimation and compute the accuracy of different methods in two applications: stereo matching and motion tr...

Cite

Text

Yu et al. "Toward Robust Distance Metric Analysis for Similarity Estimation." IEEE/CVF Conference on Computer Vision and Pattern Recognition, 2006. doi:10.1109/CVPR.2006.310

Markdown

[Yu et al. "Toward Robust Distance Metric Analysis for Similarity Estimation." IEEE/CVF Conference on Computer Vision and Pattern Recognition, 2006.](https://mlanthology.org/cvpr/2006/yu2006cvpr-robust/) doi:10.1109/CVPR.2006.310

BibTeX

@inproceedings{yu2006cvpr-robust,
  title     = {{Toward Robust Distance Metric Analysis for Similarity Estimation}},
  author    = {Yu, Jie and Tian, Qi and Amores, Jaume and Sebe, Nicu},
  booktitle = {IEEE/CVF Conference on Computer Vision and Pattern Recognition},
  year      = {2006},
  pages     = {316-322},
  doi       = {10.1109/CVPR.2006.310},
  url       = {https://mlanthology.org/cvpr/2006/yu2006cvpr-robust/}
}