← Jane Street Interview Insights
This was the setup question but it's deceptively meaty.
Start by clarifying the evaluation setup: the model is fixed, only the input is progressively revealed from top to bottom. Then outline the implementation steps: create masked inputs for each k, run inference, compute accuracy, and plot accuracy vs k. Finally, interpret the curve in terms of information sufficiency and model reliance on spatial features.
Pro tip: Mention that you would also track per-class accuracy or confidence to see if certain classes need more rows, and discuss the computational cost of repeated inference, suggesting batching or caching to optimize.
Confirm that the model is pre-trained and frozen, and that masking replaces hidden rows with a constant value (e.g., 0). Discuss whether the mask value should be the dataset mean or a neutral value, and how it might affect the model.
For each k from 1 to H (number of rows), create a copy of the test set where rows k+1 to H are set to the mask value. Run the model on these masked inputs and record predictions.
Calculate accuracy across the entire test set for each k. Plot accuracy on the y-axis and k on the x-axis to visualize how performance improves as more rows are revealed.
Analyze the shape: a steep initial rise indicates the model relies on top rows; a plateau suggests additional rows add little information. Compare to baseline (random guessing) and full-image accuracy.
Explain what the curve reveals about the model's information needs, potential biases (e.g., positional bias), and suggest further experiments like revealing from bottom or random rows.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.
First, clarify the reward function and the goal: find a single global mask fill value that maximizes expected reward across the dataset. Then, using your accuracy-vs-k results, model the expected reward as a function of the fill value and optimize it, likely via grid search or another method. Finally, discuss trade-offs such as class imbalance and distribution shift introduced by masking.
Pro tip: Emphasize that the optimal fill value depends on the model's accuracy at different mask levels and the reward structure; a value that maximizes accuracy may not maximize expected reward due to the reward being zero for incorrect predictions.
Restate the reward: if the final prediction is correct, reward equals the number of still-masked pixels; otherwise, zero. The goal is to find a single global mask fill value that maximizes expected reward across the dataset.
Use your existing accuracy-vs-k results, which show how model accuracy varies with the number of revealed pixels (k). This relationship is crucial for estimating the probability of correct prediction for a given fill value.
For a candidate fill value, determine the number of revealed pixels (k) it produces for each image (or on average). Then, using accuracy-vs-k, estimate the probability of correct prediction. The expected reward for an image is (number of masked pixels) * P(correct | k). Average over the dataset to get overall expected reward.
Search over possible fill values (e.g., grid search over pixel intensity range) to find the one that maximizes the estimated expected reward. If the relationship is smooth, use gradient-based optimization or other search methods.
Address class imbalance: masking may disproportionately affect minority classes, and the fill value could bias predictions. Distribution shift: the masked images may not match the training distribution, affecting accuracy. Implement the chosen fill value and validate on a held-out set.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.
The two-run constraint is what makes this hard.
Start by proposing a concrete augmentation policy with specific parameters (probability, region size, fill value) and justify each choice. Then discuss safeguards against degenerate cases and a tuning strategy. Finally, outline two retraining configurations and the metrics to compare them, emphasizing controlled experimentation and trade-offs.
Pro tip: Frame the augmentation as a regularizer that simulates real-world occlusion, and highlight that the fill value should be chosen to avoid introducing artificial patterns—zero is often safe but consider dataset mean if normalization is used.
Specify probability (e.g., 0.5), region size range (e.g., 10-30% of image height for contiguous rows), and fill value (e.g., 0 for normalized images or dataset mean). Explain that masking contiguous rows encourages the model to use global context.
Cap the total masked area (e.g., at most 40% of pixels) by limiting the number of blocks or using a cumulative mask. Also, ensure at least some rows remain unmasked to avoid trivial solutions.
Use a small validation set to sweep probability and region size, monitoring validation accuracy and robustness to masked test images. Start with a coarse grid and refine around the best performing settings.
Run A: conservative masking (p=0.3, 10-20% rows). Run B: aggressive masking (p=0.7, 20-40% rows). Keep other hyperparameters fixed to isolate the augmentation effect.
Compare validation accuracy on clean data, accuracy on masked test data (with same masking applied), and training stability (loss curves). Also consider inference latency if model changes.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.
Sliding window stability plus confidence threshold was my answer.
Frame the problem as a sequential decision process where you trade off the cost of revealing more pixels against the expected gain in reward. Propose a threshold-based policy on the model's confidence or expected reward, calibrated offline via simulation to maximize expected reward. Address ties/oscillations with deterministic tie-breaking and hysteresis.
Pro tip: Emphasize that the policy must be calibrated on a validation set that reflects the test distribution, and that you'd monitor for distribution shift to avoid overfitting the threshold.
Formalize the expected reward as a function of the number of revealed pixels and the model's prediction. Define the state as the current set of revealed pixels and the model's output distribution.
Select a simple, interpretable policy such as a threshold on the maximum predicted probability or on the expected reward gain. Consider more complex policies like dynamic programming if the state space is manageable.
Use a validation set to simulate the pixel-revealing process and estimate the expected reward for different policy parameters. Choose the parameter that maximizes the average reward, possibly with cross-validation to avoid overfitting.
Implement deterministic tie-breaking (e.g., stop at the first occurrence of the maximum confidence) and add hysteresis (e.g., require the confidence to exceed a higher threshold to stop and drop below a lower threshold to continue) to prevent oscillation.
Test the policy on a held-out test set, compare against baselines (e.g., always reveal all pixels), and analyze failure cases. Iterate on the policy or calibration if needed.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.