An approximate logic neuron model with a dendritic structure

An approximate logic neuron model (ALNM) based on the interaction of dendrites and the dendritic plasticity mechanism is proposed. The model consists of four layers: a synaptic layer, a dendritic layer, a membrane layer, and a soma body. ALNM has a neuronal-pruning function to form its unique dendritic topology for a particular task, through screening out useless synapses and unnecessary dendrites during training. In addition, corresponding to the mature dendritic morphology, the trained ALNM can be substituted by a logic circuit, using the logic NOT, AND and OR operations, which possesses powerful operation capacities and can be simply implemented in hardware. Since the ALNM is a feed-forward model, an error back-propagation algorithm is used to train it. To verify the effectiveness of the proposed model, we apply the model to the Iris, Glass and Cancer datasets. The results of the classification accuracy rate and convergence speed are analyzed, discussed, and compared with a standard back-propagation neural network. Simulation results show that ALNM can be used as an effective pattern classification method. It reduces the size of the dataset features by learning, without losing any essential information. The interaction between features can also be observed in the dendritic morphology. Simultaneously, the logic circuit can be used as a single classifier to deal with big data accurately and efficiently.

[1]  José Neves,et al.  Evolutionary Neural Network Learning , 2003, EPIA.

[2]  P. Jesper Sjöström,et al.  One Cell to Rule Them All, and in the Dendrites Bind Them , 2011, Front. Syn. Neurosci..

[3]  John N. J. Reynolds,et al.  Dopamine-dependent plasticity of corticostriatal synapses , 2002, Neural Networks.

[4]  T. Poggio,et al.  Nonlinear interactions in a dendritic tree: localization, timing, and role in information processing. , 1983, Proceedings of the National Academy of Sciences of the United States of America.

[5]  Christof Koch,et al.  Biophysics of Computation: Information Processing in Single Neurons (Computational Neuroscience Series) , 1998 .

[6]  Wolfgang Maass,et al.  Branch-Specific Plasticity Enables Self-Organization of Nonlinear Computation in Single Neurons , 2011, The Journal of Neuroscience.

[7]  Kazuo Emoto,et al.  Compartmentalized Calcium Transients Trigger Dendrite Pruning in Drosophila Sensory Neurons , 2013, Science.

[8]  Koichi Tanno,et al.  A model of the neuron based on dendrite mechanisms , 2001 .

[9]  Q. Gu Contribution of acetylcholine to visual cortex plasticity , 2003, Neurobiology of Learning and Memory.

[10]  C. Koch,et al.  Multiplicative computation in a visual neuron sensitive to looming , 2002, Nature.

[11]  J. C. Anderson,et al.  Dendritic asymmetry cannot account for directional responses of neurons in visual cortex , 1999, Nature Neuroscience.

[12]  P. J. Sjöström,et al.  Dendritic excitability and synaptic plasticity. , 2008, Physiological reviews.

[13]  Hiroki Tamura,et al.  A Neuron Model Capable of Learning Expansion/Contraction Movement Detection without Teacher's Signal , 2013 .

[14]  Stefano Fanelli,et al.  A new class of quasi-Newtonian methods for optimal learning in MLP-networks , 2003, IEEE Trans. Neural Networks.

[15]  J. Rinzel,et al.  The role of dendrites in auditory coincidence detection , 1998, Nature.

[16]  T. Poggio,et al.  Retinal ganglion cells: a functional interpretation of dendritic morphology. , 1982, Philosophical transactions of the Royal Society of London. Series B, Biological sciences.

[17]  Catherine Blake,et al.  UCI Repository of machine learning databases , 1998 .

[18]  Judit K. Makara,et al.  Compartmentalized dendritic plasticity and input feature storage in neurons , 2008, Nature.

[19]  W. Pitts,et al.  A Logical Calculus of the Ideas Immanent in Nervous Activity (1943) , 2021, Ideas That Created the Future.

[20]  Dendritic computation of direction selectivity by retinal ganglion cells. , 2000, Science.

[21]  Idan Segev,et al.  Sound grounds for computing dendrites , 1998, Nature.

[22]  M. Dubin,et al.  Retinal Ganglion Cells , 1988 .

[23]  J. Magee Dendritic integration of excitatory synaptic input , 2000, Nature Reviews Neuroscience.

[24]  K. Svoboda,et al.  Experience-dependent structural synaptic plasticity in the mammalian brain , 2009, Nature Reviews Neuroscience.

[25]  E. Marder,et al.  Plasticity in single neuron and circuit computations , 2004, Nature.

[26]  Hwai-Jong Cheng,et al.  Axon pruning: an essential step underlying the developmental plasticity of neuronal connections , 2006, Philosophical Transactions of the Royal Society B: Biological Sciences.

[27]  L. Luo,et al.  Axon retraction and degeneration in development and disease. , 2005, Annual review of neuroscience.

[28]  L. Abbott,et al.  A model of multiplicative neural responses in parietal cortex. , 1996, Proceedings of the National Academy of Sciences of the United States of America.

[29]  R. Fisher THE USE OF MULTIPLE MEASUREMENTS IN TAXONOMIC PROBLEMS , 1936 .

[30]  Christof Koch,et al.  Computation and the single neuron , 1997, Nature.

[31]  H. Dringenberg,et al.  Heterosynaptic facilitation of in vivo thalamocortical long-term potentiation in the adult rat visual cortex by acetylcholine. , 2006, Cerebral cortex.