Segmentation by a Network of Oscillators with Stored Memories

We propose a model of coupled oscillators with noise that performs segmentation of stimuli using a set of stored images, each consisting of objects and a background. The oscillators' amplitudes encode the spatial and featural distribution of the external stimulus. The coherence of their phases signifies their belonging to the same object. In the learning stage, the couplings between phases are modified in a Hebb-like manner. By mean-field analysis and simulations, we show that an external stimulus whose local features resemble those of one or several of the stored objects generates a selective phase coherence that represents the stored pattern of segmentation.

[1]  H Sompolinsky,et al.  Global processing of visual stimuli in a neural network of coupled oscillators. , 1990, Proceedings of the National Academy of Sciences of the United States of America.

[2]  G Tononi,et al.  Modeling perceptual grouping and figure-ground segregation by means of active reentrant connections. , 1991, Proceedings of the National Academy of Sciences of the United States of America.

[3]  Sompolinsky,et al.  Spin-glass models of neural networks. , 1985, Physical review. A, General physics.

[4]  M. Hasler,et al.  Information processing using stable and unstable oscillations: a tutorial , 1994, Proceedings of the Third IEEE International Workshop on Cellular Neural Networks and their Applications (CNNA-94).

[5]  Hansel,et al.  Synchronization and computation in a chaotic neural network. , 1992, Physical review letters.

[6]  W. Singer,et al.  Oscillatory responses in cat visual cortex exhibit inter-columnar synchronization which reflects global stimulus properties , 1989, Nature.

[7]  Sompolinsky,et al.  Cooperative dynamics in visual processing. , 1991, Physical review. A, Atomic, molecular, and optical physics.

[8]  Peter König,et al.  Stimulus-Dependent Assembly Formation of Oscillatory Responses: III. Learning , 1992, Neural Computation.

[9]  Haim Sompolinsky,et al.  Stimulus-Dependent Synchronization of Neuronal Assemblies , 1993, Neural Computation.

[10]  Joachim M. Buhmann,et al.  Pattern Segmentation in Associative Memory , 1990, Neural Computation.

[11]  Tomoki Fukai,et al.  Memory Recall by Quasi-Fixed-Point Attractors in Oscillator Neural Networks , 1995, Neural Computation.

[12]  P. König,et al.  Correlated firing in sensory-motor systems , 1995, Current Opinion in Neurobiology.

[13]  Peter König,et al.  Stimulus-Dependent Assembly Formation of Oscillatory Responses: I. Synchronization , 1991, Neural Computation.

[14]  M. Usher,et al.  Parallel Activation of Memories in an Oscillatory Neural Network , 1991, Neural Computation.