mlsanityData to 14 Oct 2026

Latent common manifold learning with alternating diffusion: analysis and applications

arXiv 1602.00078 ↗First posted 30 Jan 2016physics.data-an cs.DS cs.NAcited by 16

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Abstract (arXiv)

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.

Key facts. Cited by 16 papers in the map (data through 14 Oct 2026). First posted on arXiv 30 Jan 2016.

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Cited by year (2026 to 14 Oct)

Citing papers per year: 2021: 3; 2022: 2; 2023: 0; 2024: 6; 2025: 1; 2026: 4.

16 papers.

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  1. 2021On the Parameter Combinations That Matter and on Those That do Notcited by 12
  2. 2024Synchronous Diffusion for Unsupervised Smooth Non-Rigid 3D Shape Matchingcited by 7
  3. 2022Spatiotemporal Analysis Using Riemannian Composition of Diffusion Operatorscited by 6
  4. 2021How do kernel-based sensor fusion algorithms behave under high dimensional noise?cited by 5
  5. 2024Kernel spectral joint embeddings for high-dimensional noisy datasets using duo-landmark integral operatorscited by 5
  6. 2024Entropic Optimal Transport Eigenmaps for Nonlinear Alignment and Joint Embedding of High-Dimensional Datasetscited by 3
  7. 2022Augmentation Invariant Manifold Learningcited by 2
  8. 2024Landmark Alternating Diffusioncited by 2
  9. 2024On Learning what to Learn: heterogeneous observations of dynamics and establishing (possibly causal) relations among themcited by 2
  10. 2021Joint Geometric and Topological Analysis of Hierarchical Datasetscited by 1
  11. 2024Nonlinear Manifold Learning Determines Microgel Size from Raman Spectroscopycited by 0
  12. 2025Multi-view diffusion geometry using intertwined diffusion trajectoriescited by 0
4 more
  1. 2026Generalized Robust Adaptive-Bandwidth Multi-View Manifold Learning in High Dimensions with Noisecited by 0
  2. 2026Accelerate Vector Diffusion Maps by Landmarkscited by 0
  3. 2026Complex Interpolation of Matrices with an application to Multi-Manifold Learningcited by 0
  4. 2026From Layers to Networks: Comparing Neural Representations via Diffusion Geometrycited by 0