Publications

Active Learning agent-based models Clustering dictionary learning diffusion geometry diffusion wavelets geometric wavelets harmonic analysis heat kernels hyperspectral imaging imaging interacting particle systems inverse problems Laplacian eigenfunctions Machine learning Manifold Learning medical imaging model reduction multiscale analysis neural networks precision medicine random walks reinforcement learning representation learning spectral graph theory statistics stochastic systems supervised learning Unsupervised Learning wavelets

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2010

Jones, Peter W; Maggioni, Mauro; Schul, Raanan

Universal local manifold parametrizations via heat kernels and eigenfunctions of the Laplacian Journal Article

In: Ann. Acad. Scient. Fen., vol. 35, pp. 1–44, 2010, (http://arxiv.org/abs/0709.1975).

BibTeX | Tags: diffusion geometry, heat kernels, Laplacian eigenfunctions, Manifold Learning, multiscale analysis, random walks, spectral graph theory

2008

Coifman, Ronald R; Maggioni, Mauro

Geometry Analysis and Signal Processing on Digital Data, Emergent Structures, and Knowledge Building Miscellaneous

SIAM News, 2008.

BibTeX | Tags: diffusion geometry, heat kernels, Laplacian eigenfunctions, Manifold Learning, multiscale analysis, random walks, spectral graph theory

Maggioni, Mauro; Mhaskar, Hrushikesh

Diffusion polynomial frames on metric measure spaces Journal Article

In: ACHA, vol. 3, pp. 329–353, 2008.

BibTeX | Tags: approximation theory, diffusion geometry, heat kernels, Laplacian eigenfunctions, multiscale analysis

Jones, Peter W; Maggioni, Mauro; Schul, Raanan

Manifold parametrizations by eigenfunctions of the Laplacian and heat kernels Journal Article

In: Proc. Nat. Acad. Sci., vol. 105, no. 6, pp. 1803–1808, 2008.

BibTeX | Tags: diffusion geometry, heat kernels, Laplacian eigenfunctions, Manifold Learning, multiscale analysis, random walks, spectral graph theory

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