Name
Abstract | ||
|---|---|---|
Various alternatives have been developed to improve the winner-takes-all (WTA) mechanism in vector quantization, including the neural gas (NG). However, the behavior of these algorithms including their learning dynamics, robustness with respect to initialization, asymptotic results, etc. has only partially been studied in a rigorous mathematical analysis. The theory of on-line learning allows for an exact mathematical description of the training dynamics in model situations. We demonstrate using a system of three competing prototypes trained from a mixture of Gaussian clusters that the NG can improve convergence speed and achieves robustness to initial conditions. However, depending on the structure of the data, the NG does not always obtain the best asymptotic quantization error. |
Year | DOI | Venue |
|---|---|---|
2008 | 10.1016/j.neucom.2007.11.022 | Neurocomputing |
Keywords | Field | DocType |
convergence speed,asymptotic quantization error,model situation,gaussian cluster,vector quantization,rigorous mathematical analysis,exact mathematical description,neural gas,initial condition,on-line learning,asymptotic result,quantization error,clustering,mixture of gaussians,mathematical analysis,winner take all | Convergence (routing),Pattern recognition,Computer science,Learning vector quantization,Robustness (computer science),Vector quantization,Gaussian,Artificial intelligence,Initialization,Quantization (signal processing),Machine learning,Neural gas | Journal |
Volume | Issue | ISSN |
71 | 7-9 | Neurocomputing |
Citations | PageRank | References |
8 | 0.75 | 7 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Aree Witoelar | 1 | 27 | 4.45 |
| Michael Biehl | 2 | 784 | 62.50 |
| Anarta Ghosh | 3 | 156 | 13.81 |
| Barbara Hammer | 4 | 2383 | 181.34 |