Synaptic depression enlarges basin of attraction

Neurophysiological experiments show that synaptic depression controls a gain for presynaptic inputs. However, the functional roles of this gain control remain unknown. We propose that one of the functional roles is to enlarge basins of attraction. To verify this, we employ an associative memory model. An activity control is requisite for the stable retrieval of sparse patterns. We investigate a storage capacity and the basins of attraction. Consequently, the basins of attraction are enlarged while the storage capacity does not change. Thus, the synaptic depression might incorporate the activity control mechanism.

[1]  M. Shiino,et al.  Self-consistent signal-to-noise analysis and its application to analogue neural networks with asymmetric connections , 1992 .

[2]  J. Deuchars,et al.  Temporal and spatial properties of local circuits in neocortex , 1994, Trends in Neurosciences.

[3]  Hilbert J. Kappen,et al.  Associative Memory with Dynamic Synapses , 2002, Neural Computation.

[4]  Shun-ichi Amari,et al.  Statistical neurodynamics of associative memory , 1988, Neural Networks.

[5]  Masato Okada,et al.  Notions of Associative Memory and Sparse Coding , 1996, Neural Networks.

[6]  F. Attneave,et al.  The Organization of Behavior: A Neuropsychological Theory , 1949 .

[7]  T. Geisel,et al.  Pattern storage and processing in attractor networks with short-time synaptic dynamics , 2002, Network.

[8]  Lovorka Pantic,et al.  Storage capacity of attractor neural networks with depressing synapses. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.

[9]  Masato Okada,et al.  Self-Regulation Mechanism of Temporally Asymmetric Hebbian Plasticity , 2001, Neural Computation.

[10]  Daniel J. Amit,et al.  Modeling brain function: the world of attractor neural networks, 1st Edition , 1989 .

[11]  L. Abbott,et al.  Synaptic Depression and Cortical Gain Control , 1997, Science.

[12]  H. Markram,et al.  The neural code between neocortical pyramidal neurons depends on neurotransmitter release probability. , 1997, Proceedings of the National Academy of Sciences of the United States of America.

[13]  S.-i. Amari.  Statistical neurodynamics of various versions of correlation associative memory , 1988, IEEE 1988 International Conference on Neural Networks.