Latent common manifold learning with alternating diffusion: analysis and applications
This work addresses multimodal data fusion for researchers in sensor analysis, but it appears incremental as it builds on existing diffusion methods.
The paper tackles the problem of capturing nonlinear geometric structures in multimodal sensor data by introducing a latent common manifold model and an alternating diffusion method, with theoretical analysis and experimental applications demonstrating its effectiveness.
The analysis of data sets arising from multiple sensors has drawn significant research attention over the years. Traditional methods, including kernel-based methods, are typically incapable of capturing nonlinear geometric structures. We introduce a latent common manifold model underlying multiple sensor observations for the purpose of multimodal data fusion. A method based on alternating diffusion is presented and analyzed; we provide theoretical analysis of the method under the latent common manifold model. To exemplify the power of the proposed framework, experimental results in several applications are reported.