I went with logistic regression because I figured it'd be cleaner to reason about under pressure.
Start by clarifying the problem scope and assumptions (dataset, features, binary/multiclass, evaluation metric). Then outline the model architecture, loss function, and gradient derivation, and describe the training loop with optimization details. Finally, discuss evaluation metrics, validation strategy, and potential pitfalls.
Pro tip: Demonstrate production awareness by mentioning numerical stability techniques (e.g., log-sum-exp for softmax, gradient clipping) and how you would scale the implementation (vectorization, mini-batch, GPU).
Ask about dataset size, feature types, number of classes, and evaluation metric. State assumptions if not specified (e.g., binary classification, dense features).
Describe the model (logistic regression or small MLP), the forward pass, and the loss function (binary cross-entropy or categorical cross-entropy). Explain why this loss is appropriate.
Show the gradient of the loss w.r.t. parameters (e.g., for logistic regression: grad = (sigmoid(z) - y) * x). For neural network, use backpropagation. Specify the update rule (e.g., SGD, Adam) and learning rate.
Outline the training loop: initialize parameters, iterate over epochs, forward pass, compute loss, backward pass, update parameters. Include mini-batch, shuffling, and convergence checks.
Describe evaluation metrics (accuracy, precision/recall, F1, AUC), validation strategy (train/val/test split, cross-validation), and how to detect overfitting/underfitting.
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