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CSSE463: Image Recognition Day 21

CSSE463: Image Recognition Day 21. Upcoming schedule: Exam covers material through SVMs. Multilayer feedforward neural nets. Many perceptrons Organized into layers Input (sensory) layer Hidden layer(s): 2 proven sufficient to model any arbitrary function Output (classification) layer

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CSSE463: Image Recognition Day 21

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  1. CSSE463: Image Recognition Day 21 • Upcoming schedule: • Exam covers material through SVMs

  2. Multilayer feedforward neural nets • Many perceptrons • Organized into layers • Input (sensory) layer • Hidden layer(s): 2 proven sufficient to model any arbitrary function • Output (classification) layer • Powerful! • Calculates functions of input, maps to output layers • Example y1 x1 x2 y2 x3 y3 Sensory (HSV) Hidden (functions) Classification (apple/orange/banana) Q4

  3. XOR example • 2 inputs • 1 hidden layer of 5 neurons • 1 output

  4. Backpropagation algorithm Initialize all weights randomly • For each labeled example: • Calculate output using current network • Update weights across network, from output to input, using Hebbian learning • Iterate until convergence • Epsilon decreases at every iteration • Matlab does this for you. • matlabNeuralNetDemo.m y1 x1 x2 y2 x3 y3 a. Calculate output (feedforward) R peat b. Update weights (feedback) Q5

  5. Parameters • Most networks are reasonably robust with respect to learning rate and how weights are initialized • However, figuring out how to • normalize your input • determine the architecture of your net • is a black art. You might need to experiment. One hint: • Re-run network with different initial weights and different architectures, and test performance each time on a validation set. Pick best.

  6. References • This is just the tip of the iceberg! See: • Sonka, pp. 404-407 • LaureneFausett. Fundamentals of Neural Networks. Prentice Hall, 1994. • Approachable for beginner. • C.M. Bishop. Neural Networks for Pattern Classification. Oxford University Press, 1995. • Technical reference focused on the art of constructing networks (learning rate, # of hidden layers, etc.) • Matlab neural net help is very good

  7. SVMs vs. Neural Nets • SVM: • Training can take a long time with large data sets. Consider that you’ll want to experiment with parameters… • But the classification runtime and space are O(sd), where s is the number of support vectors, and d is the dimensionality of the feature vectors. • In the worst case, s = size of whole training set (like nearest neighbor) • But no worse than implementing a neural net with sperceptrons in the hidden layer. • Empirically shown to have good generalizability even with relatively-small training sets and no domain knowledge. • Neural networks: • can tune architecture. Lots of parameters! Q3

  8. How does svmfwd compute y1? y1 is just the weighted sum of contributions of individual support vectors: d = data dimension, e.g., 294, s = kernel width. • Much easier computation than training • Could implement on a device without MATLAB (e.g., a smartphone) easily • Check out sample Java code numSupVecs, svcoeff (alpha) and bias are learned during training. Note: looking at which of your training examples are support vectors can be revealing! (Keep in mind for sunset detector and term project)

  9. CSSE463 Roadmap

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