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Fundamentals of Neural Networks and fuzzy logic (SE CSE)

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ANN is inspired by:

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Which is continuous activation?

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Threshold logic is used in:

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Net Input Calculation

w₁=1, w₂=2, x₁=2, x₂=3, b=0

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Given: w = 2, learning rate = 0.1, gradient = 4

w subscript n e w end subscript equals w minus eta fraction numerator straight partial differential L over denominator straight partial differential w end fraction

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Find output for net = 0

sigma not stretchy left parenthesis x not stretchy right parenthesis equals fraction numerator 1 over denominator 1 plus e to the power of negative x end exponent end fraction

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Given: x = 2, y = 3, η = 0.5

According to Weight update rule the weight will be:

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Given:

Weights: w₁ = 2, w₂ = -1, Bias = 1

Input: x₁ = 1, x₂ = 2

Activation: Step function (output = 1 if net ≥ 0 else 0)

Net input is:

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Bias in ANN is used to:

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Hebbian rule:

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