# Manifold Embedding based Visualization of Signals

### Hee Il Hahn

#### Abstract

We address the problem of transforming statistically stationary waveform signals into their intrinsic geometries by embedding them into two or three dimensional space for the purpose of visualizing them. The graph Laplacian based manifold embedding algorithms basically generate geometries intrinsic to the signal characteristics under the conditions that it is smooth enough and sufficient number of patches are extracted from it. Especially, commute time is known to have the properties of shrinking the mutual distance between two points as the number of paths connecting them increases, which makes it possible to align the statistically different patches in the form of curves. Extensive experiment is conducted with speeches and musical instrumental sounds to investigate the relevance of the waveforms to their own inherent geometries.

#### References

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#### Paper Citation

#### in Harvard Style

Hahn H. (2014). **Manifold Embedding based Visualization of Signals** . In *Proceedings of the 11th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO,* ISBN 978-989-758-039-0, pages 184-189. DOI: 10.5220/0005017801840189

#### in Bibtex Style

@conference{icinco14,

author={Hee Il Hahn},

title={Manifold Embedding based Visualization of Signals},

booktitle={Proceedings of the 11th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO,},

year={2014},

pages={184-189},

publisher={SciTePress},

organization={INSTICC},

doi={10.5220/0005017801840189},

isbn={978-989-758-039-0},

}

#### in EndNote Style

TY - CONF

JO - Proceedings of the 11th International Conference on Informatics in Control, Automation and Robotics - Volume 1: ICINCO,

TI - Manifold Embedding based Visualization of Signals

SN - 978-989-758-039-0

AU - Hahn H.

PY - 2014

SP - 184

EP - 189

DO - 10.5220/0005017801840189