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Neural Networks & Deep Learning
CSE & IT Department
ECE School
Shiraz University
ONLY
GOD
NN Learning
2021
2
NN
Learning
Training an NN
3
• Training: procedure of determining appropriate weights
• General procedure: learning appropriate weights from training
data
Start with random initial weights
Using training data, adjust weights in small steps
Until required outputs are produced
• Brute force derivation: trainings are iterative learning algorithms
NN Classifier Learning
4
• For a single layer NN performing binary classification:
• Decision boundary is hyperplane
• Learning is process of shifting around hyperplane until each
training pattern is classified correctly
• To formalize process of shifting around into a systematic
implementable algorithm:
• Shifting around is split up into a number of small steps
Weights Updating
5
• If network weights are 𝑤𝑖𝑗, then shifting process
corresponds to moving by ∆𝑤𝑖𝑗:
𝑤𝑖𝑗 𝑛𝑒𝑤 = 𝑤𝑖𝑗 𝑜𝑙𝑑 + ∆𝑤𝑖𝑗
• Threshold (bias) is treated as a weight:
𝑏𝑗 𝑛𝑒𝑤 = 𝑏𝑗 𝑜𝑙𝑑 + ∆𝑏𝑗
• Weight changes ∆𝑤𝑖𝑗 need to be applied repeatedly, for
each weight 𝑤𝑖𝑗 in network, and for each training pattern
in training set
End of Learning
6
• One pass through all weights for whole training set is
called one epoch of training
• Eventually, usually after many epochs, when all network
outputs match targets for all training patterns, all ∆𝑤𝑖𝑗
will be zero and process of training will cease (i.e. training
process has converged to a solution)
NN Learning
7
• Learning is a process by which free parameters of an NN are
adapted through a continuing process of stimulation by
environment in which network is embedded
• Learning process tries to adapt synaptic weights
• The type of learning is determined by manner in which
parameters' changes take place
• Hebbian, Perceptron, delta, competitive, Boltzmann
• Supervised, reinforced, unsupervised

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Ch 1-3 nn learning 1-7

  • 1. Neural Networks & Deep Learning CSE & IT Department ECE School Shiraz University ONLY GOD NN Learning 2021
  • 3. Training an NN 3 • Training: procedure of determining appropriate weights • General procedure: learning appropriate weights from training data Start with random initial weights Using training data, adjust weights in small steps Until required outputs are produced • Brute force derivation: trainings are iterative learning algorithms
  • 4. NN Classifier Learning 4 • For a single layer NN performing binary classification: • Decision boundary is hyperplane • Learning is process of shifting around hyperplane until each training pattern is classified correctly • To formalize process of shifting around into a systematic implementable algorithm: • Shifting around is split up into a number of small steps
  • 5. Weights Updating 5 • If network weights are 𝑤𝑖𝑗, then shifting process corresponds to moving by ∆𝑤𝑖𝑗: 𝑤𝑖𝑗 𝑛𝑒𝑤 = 𝑤𝑖𝑗 𝑜𝑙𝑑 + ∆𝑤𝑖𝑗 • Threshold (bias) is treated as a weight: 𝑏𝑗 𝑛𝑒𝑤 = 𝑏𝑗 𝑜𝑙𝑑 + ∆𝑏𝑗 • Weight changes ∆𝑤𝑖𝑗 need to be applied repeatedly, for each weight 𝑤𝑖𝑗 in network, and for each training pattern in training set
  • 6. End of Learning 6 • One pass through all weights for whole training set is called one epoch of training • Eventually, usually after many epochs, when all network outputs match targets for all training patterns, all ∆𝑤𝑖𝑗 will be zero and process of training will cease (i.e. training process has converged to a solution)
  • 7. NN Learning 7 • Learning is a process by which free parameters of an NN are adapted through a continuing process of stimulation by environment in which network is embedded • Learning process tries to adapt synaptic weights • The type of learning is determined by manner in which parameters' changes take place • Hebbian, Perceptron, delta, competitive, Boltzmann • Supervised, reinforced, unsupervised