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Lemire, Daniel; Brooks, Martin, & Yan, Yuhong (2009). An optimal linear time algorithm for quasi-monotonic segmentation. International Journal of Computer Mathematics, 86 (7). https://doi.org/10.1080/00207160701694153
File(s) available for this item:| PDF - 0709.1166v1.pdf |
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| Item Type: | Journal Articles |
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| Refereed: | Yes |
| Status: | Published |
| Abstract: | Monotonicity is a simple yet significant qualitative characteristic. We consider the problem of segmenting a sequence in up to K segments. We want segments to be as monotonic as possible and to alternate signs. We propose a quality metric for this problem using the l_inf norm, and we present an optimal linear time algorithm based on novel formalism. Moreover, given a precomputation in time O(n log n) consisting of a labeling of all extrema, we compute any optimal segmentation in constant time. We compare experimentally its performance to two piecewise linear segmentation heuristics (top-down and bottom-up). We show that our algorithm is faster and more accurate. Applications include pattern recognition and qualitative modeling. |
| Official URL: | http://www.tandfonline.com/doi/abs/10.1080/0020716... |
| Depositor: | Lemire, Daniel |
| Owner / Manager: | Daniel Lemire |
| Deposited: | 22 Jul 2014 21:50 |
| Last Modified: | 16 Jul 2015 00:47 |
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