Imperial College London

Samraat Pawar

Faculty of Natural SciencesDepartment of Life Sciences (Silwood Park)

Professor of Theoretical Ecology
 
 
 
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Contact

 

+44 (0)20 7594 2213s.pawar CV

 
 
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Location

 

2.4KennedySilwood Park

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Summary

 

Publications

Citation

BibTex format

@article{Zheng:2017,
author = {Zheng, JX and Pawar, S and Goodman, DFM},
title = {Graph Drawing by Stochastic Gradient Descent},
url = {http://arxiv.org/abs/1710.04626v3},
year = {2017}
}

RIS format (EndNote, RefMan)

TY  - JOUR
AB - A popular method of force-directed graph drawing is multidimensional scalingusing graph-theoretic distances as input. We present an algorithm to minimizeits energy function, known as stress, by using stochastic gradient descent(SGD) to move a single pair of vertices at a time. Our results show that SGDcan reach lower stress levels faster and more consistently than majorization,without needing help from a good initialization. We then show how the uniqueproperties of SGD make it easier to produce constrained layouts than previousapproaches. We also show how SGD can be directly applied within the sparsestress approximation of Ortmann et al. [1], making the algorithm scalable up tolarge graphs.
AU - Zheng,JX
AU - Pawar,S
AU - Goodman,DFM
PY - 2017///
TI - Graph Drawing by Stochastic Gradient Descent
UR - http://arxiv.org/abs/1710.04626v3
UR - http://hdl.handle.net/10044/1/62044
ER -