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Neural Networks Spring 2026
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9. Topics for Exam 2
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9.
Topics for Exam 2
Topics for Exam 2
Foundations:
Python, NumPy, and Pytorch
Vector, matrix, and tensor operations
Equations of lines and planes in multi-dimensional space (hyperplanes)
Neural Network Basics:
Neuron model and network architectures
Single neuron and activation functions
Layers of neurons, weight matrices, and biases
Multi-layer neural network architecture
Decision boundaries and their relationship to hyperplanes
Computational Graphs:
Construction and interpretation of computational graphs
Forward pass and backpropagation (backward pass)
Loss functions:
Mean Squared Error (MSE)
Mean Absolute Error (MAE)
Hinge loss (SVM)
Cross-entropy loss
PyTorch Workflow:
Data transforms
Datasets
Dataloaders
Model definition
Loss functions
Optimizers and learning rate schedulers
Training loop
Evaluation loop
Performance metrics and visualization (plots)
Saving/loading a checkpoint
Convolutional Neural Networks (CNN):
Creating and analyzing CNNs using PyTorch
Convolutional filters, padding, and stride.
Layer types: convolutional, pooling, flattening, and fully connected
Determining shape of the weight matrix for each layer
Determining shape of the output for each layer
Determining number of parameters
Autoencoders
Encoder and decoder structure
Latent space representation
Variational autoencoders (VAEs)
Reparameterization trick
Implementation and training
Transformers
Multi-Head attention
Feed forward network structure
Queries, Keys, and Values
Positional Encoding
Masked multi- head attention
Stable Diffusion
Overview of diffusion models: Forward and reverse diffusion processes.
Adding and gradually removing Gaussian noise.
Multi variant Gaussian distributions
U-Net architecture
Coding Component
The exam includes coding questions requiring you to write or complete Python code (using NumPy or PyTorch).
Questions will be based on lecture material and assignments.
Some problems may closely resemble or be adapted from assignments.
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Last updated:
4/21/2026