Title | ||
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Real-time vector quantization and clustering based on ordinary differential equations. |
Abstract | ||
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This brief presents a dynamical system approach to vector quantization or clustering based on ordinary differential equations with the potential for real-time implementation. Two examples of different pattern clusters demonstrate that the model can successfully quantize different types of input patterns. Furthermore, we analyze and study the stability of our dynamical system. By discovering the equilibrium points for certain input patterns and analyzing their stability, we have shown the quantizing behavior of the system with respect to its vigilance parameter. The proposed system is applied to two real-world problems, providing comparable results to the best reported findings. This validates the effectiveness of our proposed approach. |
Year | DOI | Venue |
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2011 | 10.1109/TNN.2011.2172627 | IEEE Transactions on Neural Networks |
Keywords | Field | DocType |
input pattern,pattern clustering,neural networks,dynamical system,vector quantization,real-time clustering,different pattern cluster,real-time vector quantization,nonlinear dynamical systems,equilibrium points,dynamical system approach,quantize different type,vector quantisation,comparable result,proposed system,certain input pattern,equilibrium point,ordinary differential equations,stability,ordinary differential equation-based clustering,differential equations,neural network,real time,stability analysis,accuracy,dynamic system,vectors,real time systems,mathematical model,ordinary differential equation,matrix decomposition | Ordinary differential equation,Computer science,Equilibrium point,Vector quantization,Artificial intelligence,Cluster analysis,Dynamical system,Differential equation,Mathematical optimization,Pattern recognition,Matrix decomposition,Algorithm,Quantization (signal processing) | Journal |
Volume | Issue | ISSN |
22 | 12 | 1941-0093 |
Citations | PageRank | References |
2 | 0.40 | 11 |
Authors | ||
4 |
Name | Order | Citations | PageRank |
---|---|---|---|
Jie Cheng | 1 | 95 | 5.77 |
Mohammad R. Sayeh | 2 | 44 | 4.99 |
Mehdi R. Zargham | 3 | 29 | 13.55 |
Qiang Cheng | 4 | 40 | 7.06 |