Data fusion is a natural and common approach to recovering the state of physical systems. But the dissimilar appearance of different sensors remains a fundamental obstacle. We propose a unified embedding scheme for multisensory data, based on the spectral diffusion framework, which addresses this issue. Our scheme is purely data-driven and assumes noa prioristatistical or deterministic models of the data sources. To extract the underlying structure, we first embed separately each input channel; the resultant structures are then combined in diffusion coordinates. In particular, as different sensors sample similar phenomena with different sampling densities, we apply the density invariant Laplace-Beltrami embedding. This is a fundamental issue in multisensor acquisition and processing, overlooked in prior approaches. We extend previous work ongroup recognitionand suggest a novel approach to the selection of diffusion coordinates. To verify our approach, we demonstrate performance improvements in audio/visual speech recognition.
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Keller et al. (2009) studied this question.
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