Diffuse interface methods for multiclass segmentation of high-dimensional data
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Publication:2349239
DOI10.1016/j.aml.2014.02.008zbMath1329.68222OpenAlexW2006624446MaRDI QIDQ2349239
Allon G. Percus, Arjuna Flenner, Cristina Garcia-Cardona, Ekaterina Merkurjev, Andrea L. Bertozzi
Publication date: 22 June 2015
Published in: Applied Mathematics Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.aml.2014.02.008
Learning and adaptive systems in artificial intelligence (68T05) Singular perturbations in context of PDEs (35B25) Variational methods for second-order elliptic equations (35J20)
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Uses Software
Cites Work
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- Motion of multiple junctions: A level set approach
- Learning to construct knowledge bases from the World Wide Web
- Threshold dynamics for the piecewise constant Mumford-Shah functional
- A Rayleigh-Chebyshev procedure for finding the smallest eigenvalues and associated eigenvectors of large sparse Hermitian matrices
- An MBO Scheme on Graphs for Classification and Image Processing
- Nonlocal Operators with Applications to Image Processing
- Fast Reaction, Slow Diffusion, and Curve Shortening
- Inpainting of Binary Images Using the Cahn–Hilliard Equation
- Local minimisers and singular perturbations
- The Concave-Convex Procedure
- A Simple Proof of Convergence for an Approximation Scheme for Computing Motions by Mean Curvature
- Diffuse Interface Models on Graphs for Classification of High Dimensional Data
