Bernard Widrow

Bernard Widrow (born December 24, 1929) is a U.S. professor of electrical engineering at Stanford University. He is the co-inventor of the Widrow–Hoff least mean squares filter (LMS) adaptive algorithm with his then doctoral student Ted Hoff. The LMS algorithm led to the ADALINE and MADALINE artificial neural networks and to the backpropagation technique. He made other fundamental contributions to the development of signal processing in the fields of geophysics, adaptive antennas, and adaptive filtering. A summary of his work is.

Bernard Widrow
Widrow demonstrating the "Knobby Adaline" device (1963)
Born (1929-12-24) December 24, 1929
NationalityAmerican
Alma materMassachusetts Institute of Technology
Scientific career
FieldsElectrical engineering
InstitutionsStanford University
Doctoral advisorWilliam Linvill
Doctoral students

He is the namesake of "Uncle Bernie's Rule": the training sample size should be 10 times the number of weights in a network.

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