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- W261725549 abstract "In this paper, we study a prototype learning problem, called Median Point-Set, whose objective is to construct a prototype for a set of given point-sets so as to minimize the total Earth Mover's Distances (EMD) between the prototype and the point-sets, where EMD between two point-sets is measured under affine transformation. For this problem, we present the first purely geometric approach. Comparing to existing graph-based approaches (e.g., median graph, shock graph), our approach has several unique advantages: (1) No encoding and decoding procedures are needed to map between objects and graphs, and therefore avoid errors caused by information losing during the mappings; (2) Staying only in the geometric domain makes our approach computationally more efficient and robust to noise. We evaluate the performance of our technique for prototype reconstruction on a random dataset and a benchmark dataset, handwriting Chinese characters. Experiments suggest that our technique considerably outperforms the existing graph-based methods." @default.
- W261725549 created "2016-06-24" @default.
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- W261725549 date "2014-06-21" @default.
- W261725549 modified "2023-09-30" @default.
- W261725549 title "Finding Median Point-Set Using Earth Mover's Distance" @default.
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- W261725549 doi "https://doi.org/10.1609/aaai.v28i1.8985" @default.
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