I'd seen a version of this floating around before so I wasn't totally blindsided, but the NN forward pass extension was a different beast.
Start by clarifying the problem scope and input/output tensor shapes, then implement a vectorized 1-NN classifier using pairwise distance computation. Next, integrate it as a custom layer in a neural network forward pass, ensuring shape compatibility and discussing trade-offs like computational complexity.
Pro tip: Explicitly state tensor shapes at each step and use broadcasting to avoid loops; this demonstrates strong shape intuition and efficiency, which interviewers at OpenAI value.
Ask about input dimensions, batch size, number of classes, and whether the classifier is used during training or inference. Define expected tensor shapes for support set and query set.
Compute pairwise distances (e.g., Euclidean) between query and support points using broadcasting, then find the nearest neighbor and return its label. Discuss vectorization and complexity.
Treat the 1-NN as a non-parametric layer that takes features from a neural network and outputs predictions. Ensure the forward pass handles batch dimensions and maintains differentiability if needed.
Walk through tensor shapes at each operation, using unsqueeze/expand for broadcasting. Explain how to handle batch queries and multiple support points.
Compare 1-NN with parametric layers, mention computational cost, memory, and potential for gradient flow. Suggest alternatives like soft nearest neighbor or prototype networks.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.