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NN applications

NN applications. Mortgage risk evaluator appraises underwriting process Deliquency risk mortgage origination mortgage insurance Assessment underwriting underwiriting

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NN applications

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  1. NN applications • Mortgage risk evaluator appraises underwriting process Deliquency risk mortgage origination mortgage insurance Assessment underwriting underwiriting • Clean up noise on telephone lines and reduce transmission errors on modems (adaptive filters). • SNOOPE – bomb detector system at JFK. Detect explosives based on g– ray emissions. • Airline Marketing Tactician (AMT)- advices on seat yield management.

  2. Hopfield Nets(Associative Memories) Wij = Wji -1 -1 1 3 -1 1 -2 3 2 1 -1 Si = sgn(S Wij Sj ) j Where: Si =Activation of node i And sgn(X) = 1, x>=0 -1, x<0

  3. Parallel relaxation • Stable states

  4. Memorize patterns: zμ , μ= 1,2,…,p • Where zμ = (z1μ , …., z Nμ ) • Attractors (net nodes labeled 1,…,N) _______________________________________ Learning Rule is Hebb’s rule: Wij= (1/N) * Sziμ zjμ _______________________________________ p μ = 1 • Asynchronous unit updating • To recall perfectly P attractors with N units • P= N/ (4 log N)

  5. To train hopfield 1 2 To store pattern Wij = 1 if both states have same activation = -1 otherwise 4 3 5 7 6

  6. To train Hopfield (contd..) = W1 1 2 3 4 5 6 7 • 0 -1 1 -1 0 0 0 • 0 0 1 0 0 0 • 0 -1 1 1 0 • 0 0 -1 1 • 0 1 0 • 0 -1 • 0 Total net weight matrix: W = W1 +W2 +… One matrix per pattern

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