Change Detection Using Directional Statistics
Proceedings of the Twenty-Fifth International Joint Conference on Artificial Intelligence. Pages 1613-1618.
Abstract
This paper addresses the task of change detection from noisy multivariate time-series data. One major feature of our approach is to leverage directional statistics as the noise-robust signature of time-series data. To capture major patterns, we introduce a regularized maximum likelihood equation for the von Mises-Fisher distribution, which simultaneously learns directional statistics and sample weights to filter out unwanted samples contaminated by the noise. We show that the optimization problem is reduced to the trust region subproblem in a certain limit, where global optimality is guaranteed. To evaluate the amount of changes, we introduce a novel distance measure on the Stiefel manifold. The method is validated with real-world data from an ore mining system.
@inproceedings{ijcai2016p231,
title = {Change Detection Using Directional Statistics},
author = {Idé, Tsuyoshi and Phan, Dzung T. and Kalagnanam, Jayant},
booktitle = {Proceedings of the Twenty-Fifth International Joint Conference on
Artificial Intelligence, {IJCAI-16}},
publisher = {AAAI Press / International Joint Conferences on Artificial Intelligence},
editor = {Subbarao Kambhampati},
pages = {1613--1618},
year = {2016},
month = {7},
url = {https://ijcai.org/proceedings/2016/231},
}
TY - CPAPER TI - Change Detection Using Directional Statistics AU - Idé, Tsuyoshi AU - Phan, Dzung T. AU - Kalagnanam, Jayant T2 - Proceedings of the Twenty-Fifth International Joint Conference on Artificial Intelligence, IJCAI-16 PB - AAAI Press / International Joint Conferences on Artificial Intelligence PY - 2016 SP - 1613 EP - 1618 UR - https://ijcai.org/proceedings/2016/231 ER -Copied
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