TY - GEN
T1 - A study on manifolds of acoustic responses
AU - Laufer-Goldshtein, Bracha
AU - Talmon, Ronen
AU - Gannot, Sharon
N1 - Publisher Copyright:
© Springer International Publishing Switzerland 2015.
PY - 2015
Y1 - 2015
N2 - The construction of a meaningful metric between acoustic responses which respects the source locations, is addressed. By comparing three alternative distance measures, we verify the existence of the acoustic manifold and give an insight into its nonlinear structure. From such a geometric view point, we demonstrate the limitations of linear approaches to infer physical adjacencies. Instead, we introduce the diffusion framework, which combines local and global processing in order to find an intrinsic nonlinear embedding of the data on a low dimensional manifold. We present the diffusion distance which is related to the geodesic distance on the manifold. In particular, simulation results demonstrate the ability of the diffusion distance to organize the samples according to the source direction of arrival (DOA).
AB - The construction of a meaningful metric between acoustic responses which respects the source locations, is addressed. By comparing three alternative distance measures, we verify the existence of the acoustic manifold and give an insight into its nonlinear structure. From such a geometric view point, we demonstrate the limitations of linear approaches to infer physical adjacencies. Instead, we introduce the diffusion framework, which combines local and global processing in order to find an intrinsic nonlinear embedding of the data on a low dimensional manifold. We present the diffusion distance which is related to the geodesic distance on the manifold. In particular, simulation results demonstrate the ability of the diffusion distance to organize the samples according to the source direction of arrival (DOA).
UR - http://www.scopus.com/inward/record.url?scp=84944686444&partnerID=8YFLogxK
U2 - 10.1007/978-3-319-22482-4_23
DO - 10.1007/978-3-319-22482-4_23
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AN - SCOPUS:84944686444
SN - 9783319224817
T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
SP - 203
EP - 210
BT - Latent Variable Analysis and Signal Separation - 12th International Conference, LVA/ICA 2015, Proceedings
A2 - Koldovský, Zbynĕk
A2 - Vincent, Emmanuel
A2 - Yeredor, Arie
A2 - Tichavský, Petr
PB - Springer Verlag
T2 - 12th International Conference on Latent Variable Analysis and Signal Separation, LVA/ICA 2015
Y2 - 25 August 2015 through 28 August 2015
ER -