Neural Networks for Self-Learning Control Systems Derrick H. Nguyen and Bernard Widrow ABSTRACT: Neural networks can be used to solve highly nonlinear control problems. This paper shows how a neural network can

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IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS-I 218 Property I: Let a E Pn and separate a into its even and odd parts, ae and a,,

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• Mathematical analysis
• Digital signal processing
• Fourier analysis
• Mathematics
• Bernard Widrow
• Adaptive filter
• Window function
• Least mean squares filter
• Fourier transform
• Discrete Fourier transform
• Fast Fourier transform

Bernard Widrow August 21, 2008 Patents 1. B. Widrow and M.E. Hoff, Jr., “Logic Circuit and Electrolytic Memory Element,” US Patent 3,222,654, December 1965.

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• Bernard Widrow
• Reflection seismology
• Seismic source

30 Years of Adaptive Neural Networks: Perceptron, Madaline, and Backpropagation BERNARD WIDROW, FELLOW, IEEE,

Source URL: www-isl.stanford.edu

• Artificial neural networks
• Machine learning
• Applied mathematics
• Cybernetics
• ADALINE
• Artificial neuron
• Perceptron
• Madaline
• Backpropagation
• Feedforward neural network
• Activation function
• Bernard Widrow

ADAPTWE SIGNAL PROCESSING FOR ADAPTIVE CONTROL Bernard Widrow Department of Electrical Engineering Stanford University, Stanford, CA Eugene Walach

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• Digital signal processing
• Control theory
• Filter theory
• Signal processing
• Cybernetics
• Adaptive filter
• Impulse response
• Least mean squares filter
• Minimum phase
• Controller
• Filter
• Transfer function

1109 IEEE TRANSACTIONS ON ACOUSTICS, SPEECH, AND SIGNAL PROCESSING, VOL 36, NO 7, JULY 1988 Layered Neural Nets for Pattern Recognition BERNARD WIDROW, FELLOW,IEEE, RODNEY G. WINTER,

Source URL: www-isl.stanford.edu

• Artificial neural networks
• Artificial neuron
• ADALINE
• Backpropagation
• Adaptive filter
• Types of artificial neural networks
• Perceptron

Improving the Learning Speed of 2-Layer Neural Networks by Choosing Initial Values of the Adaptive Weights Derrick Nguyen and Bernard Widrow Information Systems Laboratory Stanford University Stanford, CA 94305

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• Artificial neural networks
• Applied mathematics
• Cybernetics
• Statistics
• Backpropagation
• Artificial neuron
• Perceptron
• Sigmoid function
• Activation function
• Deep learning

347 IEEE TRANSACTIONS O S ANTENNAS A N D PROPAG.ATION. VOL. AP-34. KO. 3. MARCH 1986 Parallel Spatial Processing: A Cure for Signal Cancellation in Adaptive Arrays

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• Multidimensional signal processing
• Digital signal processing
• Signal processing
• Sensors
• Sensor array
• Beamforming
• Adaptive beamformer
• Adaptive filter
• Radar
• Array processing
• Antenna
• Bernard Widrow

719 PROCEEDINGS LETTERS terms involving one variable in an MV polynomial are fiied, the coefficients of the remaining terms in the polynomial are rigidly related to these, if the polynomial has to be separable.

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• Digital signal processing
• Mathematical analysis
• Bernard Widrow
• Artificial neural networks
• Filter theory
• Analysis
• Pi
• Matrix
• Adaptive filter
• 2D Adaptive Filters

ADAPTIVE SUPERRESOLUTION PHENOMENA IN ABERRANT ARRAYS Neil K. Jablon Bernard Widrow Department of Electrical Engineering

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• Signal processing
• Beamforming
• Adaptive beamformer
• Sensor array
• Antenna
• Signal-to-noise ratio
• Noise