Math @ Duke
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Publications [#352782] of Paul L Bendich
Papers Published
- Solomon, E; Bendich, P, Geometric fusion via joint delay embeddings,
Proceedings of 2020 23rd International Conference on Information Fusion, FUSION 2020
(July, 2020) [doi]
(last updated on 2024/04/24)
Abstract: We introduce geometric and topological methods to develop a new framework for fusing multi-sensor time series. This framework consists of two steps: (1) a joint delay embedding, which reconstructs a high-dimensional state space in which our sensors correspond to observation functions, and (2) a simple orthogonalization scheme, which accounts for tangencies between such observation functions, and produces a more diversified geometry on the embedding space. We conclude with some synthetic and real-world experiments demonstrating that our framework outperforms traditional metric fusion methods.
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