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Convolutional Neural Networks in APL

Talkat ARRAY 2019 · on Saturday, 2019-06-22· [machine-learning]
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Implements a MNIST/LeNet-style CNN in APL using ten one-line APL building blocks that avoid explicit indexing, showing convolution, pooling and fully connected layers as composable array operators; proves index-free convolution by shifting, multiplying and summing subarrays; runs training for comparison (TensorFlow init ~6s, interpreted APL training much slower, a compiled array-language version narrows the gap); identifies missing pieces: GPU support and automatic differentiation for production-grade performance.

AI-written summary · about

  1. 0:00Limitations of ML frameworks
  2. 3:07Problem definition
  3. 5:21Neural network architecture
  4. 8:35Implementing operations
  5. 17:15Scaling and model design
  6. 22:10Performance analysis
  7. 23:38Future directions
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