Corpus ID: 419451

Algorithms for Lipschitz Learning on Graphs

@article{Kyng2015AlgorithmsFL,
  title={Algorithms for Lipschitz Learning on Graphs},
  author={Rasmus Kyng and A. Rao and Sushant Sachdeva and D. Spielman},
  journal={ArXiv},
  year={2015},
  volume={abs/1505.00290}
}
We develop fast algorithms for solving regression problems on graphs where one is given the value of a function at some vertices, and must find its smoothest possible extension to all vertices. The extension we compute is the absolutely minimal Lipschitz extension, and is the limit for large $p$ of $p$-Laplacian regularization. We present an algorithm that computes a minimal Lipschitz extension in expected linear time, and an algorithm that computes an absolutely minimal Lipschitz extension in… Expand
51 Citations
Continuum Limit of Lipschitz Learning on Graphs
  • PDF
Algorithms for $\ell_p$-based semi-supervised learning on graphs
  • 5
  • Highly Influenced
  • PDF
Asymptotic behavior of \(\ell_p\)-based Laplacian regularization in semi-supervised learning
  • A. Alaoui
  • Mathematics, Computer Science
  • COLT
  • 2016
  • 32
Fast, Provable Algorithms for Isotonic Regression in all L_p-norms
  • 35
  • PDF
Efficient Regression in Metric Spaces via Approximate Lipschitz Extension
  • 20
  • PDF
Efficient Regression in Metric Spaces via Approximate Lipschitz Extension
  • 8
Asymptotic behavior of ℓp-based Laplacian regularization in semi-supervised learning
  • 31
  • PDF
...
1
2
3
4
5
...

References

SHOWING 1-10 OF 57 REFERENCES
Efficient Regression in Metric Spaces via Approximate Lipschitz Extension
  • 20
  • PDF
Faster approximate lossy generalized flow via interior point algorithms
  • 127
  • PDF
VECTOR-VALUED OPTIMAL LIPSCHITZ EXTENSIONS
  • 47
  • Highly Influential
  • PDF
Fitting a Cm-Smooth Function to Data
  • 33
  • PDF
Distance-Based Classification with Lipschitz Functions
  • 149
  • PDF
Absolutely minimal Lipschitz extension of tree-valued mappings
  • 16
  • PDF
Semi-Supervised Learning Using Gaussian Fields and Harmonic Functions
  • 3,498
  • PDF
Solving SDD linear systems in nearly mlog1/2n time
  • 132
  • PDF
Absolutely minimal extensions of functions on metric spaces
  • 15
Uniqueness of Lipschitz extensions: Minimizing the sup norm of the gradient
  • 398
...
1
2
3
4
5
...