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Artificial Neural Networks
Fariz Darari
(fariz@ui.ac.id)
Feel free to contact me for any partnership opportunities!
Organic Neural Network
• The human brain has about 1011 neurons
• Switching time 0.001s (computer ≈ 10-10s)
• Connections per neuron: 104 - 105
• 0.1s for face recognition!
• Strengths: Parallelism and distributedness
Biological Neurons
• Dendrit menerima input informasi dalam bentuk sinyal elektrik,
yang diakumulasikan di badan sel saraf (= soma).
• Ketika akumulasi informasi mencapai threshold tertentu,
sel saraf akan menembakkan output informasi
yang dikirim melalui axon
• Axon tersambung dengan dendrit yang ada
di badan sel saraf lain melalui synapses
• Pemelajaran/learning dilakukan dengan
adaptasi synaptical weight
McCulloch-Pitts Processing Unit (1943)
Contoh:
ANN: Basic Idea
• Artificial Neuron
• Each input is multiplied by a weighting factor
• Output is: 1 if sum of weighted inputs exceeds threshold;
0 otherwise
• Network is programmed by adjusting weights using feedback from
examples
Back to McCulloch-Pitts example...
Given that:
Back to McCulloch-Pitts example...
Given that:
Back to McCulloch-Pitts example...
is >= 0 (if the activation function called step function is used)
Generalization of McCulloch-Pitts Processing Unit
Activation Functions
g(x)
Activation Functions
When to leverage ANN?
Implementing logical functions
Single-layer NN vs. Multi-layer NN
ANN Learning
ANN Learning Using Gradient Descent
ANN Learning Using Gradient Descent
For an excellent step-by-step tutorial on Gradient Descent:
https://mccormickml.com/2014/03/04/gradient-descent-derivation/
Multi-layer NN
Multi-layer NN
NN with Two Layers
NN with Two Layers
3
a4 =
Backpropagation
1. Computes the error term for the output units using the observed error.
2. From the output layer, repeat:
• propagating the error term back to the previous layer, and
• updating the weights between the two layers
until the earliest hidden layer is reached.
Combining NN layers can create difficult shapes
Intuition: Multilayered neural networks
Intuition: Multilayered neural networks
Intuition: Multilayered neural networks
Intuition: Multilayered neural networks
Intuition: Multilayered neural networks
Intuition: Multilayered neural networks
Intuition: Multilayered neural networks
Intuition: Multilayered neural networks
Intuition: Multilayered neural networks
Intuition: Multilayered neural networks
Intuition: Multilayered neural networks
Intuition: Multilayered neural networks
Neural network in action: Iris classification
Neural network in action: Iris classification
Neural network in action: Iris classification
Neural network in action: Facial recognition
Neural network in action: Facial recognition
Neural network in action: Facial recognition
Neural network in action: Facial recognition
Neural network in action: AlphaGo
More info about CNN:
https://towardsdatascience.com/the-most-intuitive-and-easiest-guide-for-convolutional-neural-network-3607be47480
Neural network in action: Self-driving car
More info about CNN:
https://towardsdatascience.com/the-most-intuitive-and-easiest-guide-for-convolutional-neural-network-3607be47480

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Artificial Neural Networks: Pointers

Editor's Notes

  1. https://www.pexels.com/photo/galleon-ship-photo-under-the-cloudy-sky-1050656/ References: https://www.youtube.com/watch?v=P2HPcj8lRJE https://imada.sdu.dk/~rolf/Edu/DM534/E18/DM534-marco.pdf bigdata.black
  2. http://ml.informatik.uni-freiburg.de/former/_media/documents/teaching/ss09/ml/perceptrons.pdf Wikipedia PS: - neuron = sel saraf
  3. References: https://imada.sdu.dk/~rolf/Edu/DM534/E18/DM534-marco.pdf
  4. it's not strict either >= or >
  5. it's not strict either >= or >
  6. Diasumsikan untuk node i Penjelasan: Input diterima 'neuron' Input diakumulasi dengan input function Melalui fungsi aktivasi, dihasilkan output a_i Fungsi aktivasi $g$ bisa berupa fungsi sigmoid, fungsi step/threshold, dsb Neural network merupakan kumpulan unit atau node (dari unit input hingga unit output) yang terhubung dan membentuk topologi neuron
  7. Step function = binary Sigmoid function = non-binary (70% activated, 10% activated, etc)
  8. Rectified Linear Unit https://analyticsindiamag.com/most-common-activation-functions-in-neural-networks-and-rationale-behind-it/
  9. Input bersifat high-dimensional. Memodelkan relasi yang non-linear dan kompleks. Proses untuk mendapatkan hasil (atau interpretability) tidak penting = black box
  10. a0 = -1 We assume step function = 0 if x < 0 and 1 otherwise
  11. Suppose the nodes are Node 3 and Node 4
  12. Suppose the nodes are Node 3 and Node 4
  13. https://www.slideshare.net/keepurcalm/backpropagation-in-neural-networks https://www.guru99.com/backpropogation-neural-network.html
  14. https://www.youtube.com/watch?v=BR9h47Jtqyw
  15. Non-linear regions
  16. Combining regions
  17. Combining regions
  18. Combining regions
  19. Combining regions
  20. Combining regions
  21. Combining regions
  22. Combining regions
  23. Combining regions
  24. Combining regions with different weights (not best solution though)
  25. Deep NN
  26. https://www.nature.com/news/computer-science-the-learning-machines-1.14481
  27. https://www.nature.com/news/computer-science-the-learning-machines-1.14481
  28. https://www.nature.com/news/computer-science-the-learning-machines-1.14481
  29. https://www.nature.com/news/computer-science-the-learning-machines-1.14481
  30. Rather simplification