Name
Title | ||
|---|---|---|
On the Computation of Complex-valued Gradients with Application to Statistically Optimum Beamforming. |
Abstract | ||
|---|---|---|
This report describes the computation of gradients by algorithmic differentiation for statistically optimum beamforming operations. Especially the derivation of complex-valued functions is a key component of this approach. Therefore the real-valued algorithmic differentiation is extended via the complex-valued chain rule. In addition to the basic mathematic operations the derivative of the eigenvalue problem with complex-valued eigenvectors is one of the key results of this report. The potential of this approach is shown with experimental results on the CHiME-3 challenge database. There, the beamforming task is used as a front-end for an ASR system. With the developed derivatives a joint optimization of a speech enhancement and speech recognition system w.r.t. the recognition optimization criterion is possible. |
Year | Venue | Field |
|---|---|---|
2017 | arXiv: Numerical Analysis | Speech enhancement,Beamforming,Mathematical optimization,Computer science,Automatic differentiation,Chain rule,Eigenvalues and eigenvectors,Computation |
DocType | Volume | Citations |
Journal | abs/1701.00392 | 1 |
PageRank | References | Authors |
0.36 | 6 | 5 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Christoph Böddeker | 1 | 7 | 2.24 |
| Patrick Hanebrink | 2 | 1 | 0.36 |
| Lukas Drude | 3 | 95 | 11.10 |
| Jahn Heymann | 4 | 102 | 10.29 |
| Reinhold Haeb-Umbach | 5 | 1487 | 211.71 |