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NEURAL NETWORK By : Farideddin Behzad Supervisor : Dr. Saffar Avval May 2006 Amirkabir University of Technology Agenda Definition Application fields History Application Biological inspiration Mathematical model Basic definition Learning Neuron types and some issues Example of application in energy & engineering 2 Definition Haykin(1999) massive parallel-distributed processor natural propensity for storing experiential knowledge available for use. Acquiring knowledge by the network from its environment through a learning process Using interneuron connection strengths, (a.k.a. synaptic weights), to store the acquired knowledge 3 Application fields Data analysis Pattern recognition Control application 4 History 1943, Warren McCulloch & Walter Pitts, works of neurons 1960, Bernard Widrow & Marcian Hoff, developed ADALINE and MADLINE From late 1960s to 1981, decreasing of researches Early 1980s, renewed interest in neural network 1986, Daivid Rummelhart & James McLand, error backpropagation algorithm 5 Applications Aerospace industry Automotive industry Banking Military industry Economics Manufacturing Medical applications Oil & petroleum industry And many more … 6 Biological inspiration Brain structure Cell Dendrites Cell body Axon Denderites Soma (cell body) Axon 7 Mathematical model Node x1 w1 x2 Inputs w2 x3 … w3 xn-1 . xn n z wi xi ; y H ( z ) Output y i 1 wn-1 wn Artificial neural cell 8 Mathematical model Mathematic model of artificial neural cell p w n f wp b a output input Cell body b 9 Basic definition Architecture: formal mathematical description of a Neural Network. (feed-forward & feed-back) Layer or Slab: A subset of neurons in a neural network. (Input, Hidden, Output) Episodical vs continuous networks Neuron weight Activation function 10 Activation function Linear Activation function Non-Linear Step Sigmoid Linear Gaussian 11 Learning Supervised learning learning Unsupervised learning Coincidence learning Performance learning Competitive learning Filter learning Spatiotemporal learning 12 Neuron types Hebb Perceptron Adaline Kohonen 13 Some issues Training dataset Test dataset Network size 14 Example of application in energy Soleimani. M, Thomas. B, Per Fahlen, “Estimation operative temperature of building using artificial neural network”, Journal of Energy and Building 38 ,2006 Luis M. Romeo, Raquel Gareta, “ neural network for evaluating boiler behaviour”, Applied Thermal Engineering 26, 2006 Seyedan B., Ching C.Y., “Sensitivity analysis of freestream turbulence parameter on stagnation region heat transfer using a neural network”, International Journal of Heat and Fluid Flow, 2006 Perez-roa P., Vesovic V., “Air-pollution modelling in an urban area: Correlation turbulent diffusion coefficients by means of an artifical neral network approach”, Atmospheric Environment 40, 2006 15 References ، انتشارات دانشگاه صنعتي اميركبير،“ ”مباني شبكه هاي عصبي،منهاج محمد باقر 81پاييز 2. Hecht-Nielsen R., “Neurocomputing“, publishing company, 1991 3. MATLAB help documentation .1 Addison-Wesley 16