Submission Template

This notebook provides a suggested starter template for completing the Hopfield network assignment.

You should submit your assignment by uploading your completed notebook to Canvas. Please ensure that your notebook runs without errors in Google Colaboratory.

Setup

Import necessary libraries and define helper functions.

import numpy as np
import matplotlib.pyplot as plt

# Define any helper functions here

Task 1: Memory Storage and Retrieval

Implement the Hebbian learning rule and update dynamics.

# TODO: Implement memory storage (Hebbian rule) and retrieval update rule here

Task 2: Small Network Test

Use a small network with \(N = 5\) to test memory storage and retrieval.

# TODO: Encode and test small network with noisy inputs

Task 3: Evaluate Storage Capacity

Test how performance varies with network size and number of memories.

# TODO: Run multiple trials and generate heatmap + expectation plot

Task 4: Cued Recall

Simulate associative memory with cue-response pairs.

# TODO: Implement A-B memory pairs and test cued retrieval

Task 5: Contextual Drift

Simulate sequential memories with gradually shifting contexts.

# TODO: Implement drifting context memory and analyze retrieval bias

Discussion

Summarize your findings, observations, and any interesting results.