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Anthropic·Machine Learning Engineer·Onsite - System Design / Architecture·Senior

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Apr 2026

Summary

Anthropic ML engineer interview with a meaty systems question about weighted dataset batching. The problem kept evolving and I kept second-guessing my approach. Not sure how I did.

Questions Asked (4)

Q1

You have a DataBatcher that mixes multiple datasets according to weight ratios. Batch size is not guaranteed to be divisible by the sum of weights. How do you ensure each batch respects the proportions on average without drifting over time, and how do you make the whole thing deterministically resumable from an arbitrary offset?

System DesignAlgorithms & Data StructuresTechnical Trade-offs
Author's notes

This is where I spent most of the interview.

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AI HintsAI Generated

Suggested Approach

Start by framing the problem as a deterministic scheduling problem where each batch is generated by a stateless function of the global step index and the weight ratios. Use a cumulative error or deficit-based algorithm (e.g., Bresenham-like or largest remainder method) to allocate samples per dataset per batch, ensuring long-term proportions. For resumability, derive the state from the offset by replaying the allocation logic from step 0 or by using a closed-form formula that computes the exact state at any offset.

Pro tip: Emphasize that determinism requires avoiding floating-point accumulation errors; use integer arithmetic or fixed-point representations for weights and deficits, and seed any randomness with the global step to ensure reproducibility.

1. Define the allocation problem

Explain that each batch must contain samples from multiple datasets in proportions given by weights, but batch size may not be divisible by the sum of weights. The goal is to minimize deviation from ideal proportions over time.

2. Choose a deterministic allocation algorithm

Propose an algorithm like the largest remainder method or a deficit round-robin that tracks cumulative fractional deficits and allocates integer counts per batch. Ensure it uses integer arithmetic to avoid drift.

3. Ensure long-term proportionality

Show that the algorithm guarantees that the cumulative number of samples from each dataset converges to the ideal ratio as the number of batches grows, with bounded error per batch.

4. Make it resumable from any offset

Describe how to compute the state (e.g., cumulative deficits) at an arbitrary batch index either by replaying the algorithm from the start or by deriving a closed-form formula. The state must be deterministic and independent of previous random choices.

5. Handle randomness and shuffling

If samples within a batch need shuffling or if there is stochasticity, seed the random number generator with the global step index to ensure reproducibility upon resume.

Key Points to Mention

  • Use of integer arithmetic or fixed-point to avoid floating-point drift
  • Cumulative deficit tracking (e.g., Bresenham's algorithm) for proportional allocation
  • Deterministic seeding of any randomness with the global step index
  • Closed-form or replay-based state reconstruction for resumability
  • Bounded error per batch and convergence to ideal proportions over time
  • Handling of batch size not divisible by sum of weights via largest remainder or similar method

AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.

Q2

What happens when one dataset has weight zero? How does your batching strategy handle that edge case?

System DesignTechnical Trade-offs
Author's notes

Pretty quick answer: skip it entirely, don't even call get_iterator on it.

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AI HintsAI Generated

Suggested Approach

Clarify that a zero-weight dataset contributes no gradient signal, so it should be effectively excluded from training. Then explain how your batching strategy detects and handles this edge case, such as by filtering out zero-weight samples or adjusting sampling probabilities to avoid empty batches.

Pro tip: Mention that zero-weight samples can still cause issues if they appear in a batch (e.g., wasted computation or NaN losses), so it's best to filter them out early in the data pipeline. Also, discuss how you would monitor for zero-weight datasets in production to catch misconfigurations.

1. Define the semantics of zero weight

Explain that a weight of zero means the sample or dataset should have no influence on the model's updates. This is equivalent to excluding it from training.

2. Identify potential issues

Discuss problems like empty batches, division by zero in weighted averages, or wasted computation if zero-weight samples are included.

3. Describe your batching strategy

Outline how your data loader or sampler handles zero weights: e.g., filtering out zero-weight samples before batching, or using weighted sampling that naturally excludes them.

4. Handle edge cases in training loop

Explain safeguards such as skipping batches with all zero weights, or using a fallback to avoid errors when a batch has no effective samples.

5. Monitor and validate

Mention logging or assertions to detect zero-weight datasets and ensure they are intentional, preventing silent failures.

Key Points to Mention

  • Zero weight means no gradient contribution, so the sample/dataset is effectively ignored.
  • Filtering zero-weight samples early avoids wasted computation and potential numerical issues.
  • Weighted sampling can be adjusted to exclude zero-weight items, but care is needed to avoid empty batches.
  • In distributed training, ensure all workers handle zero-weight consistently to avoid synchronization issues.
  • Consider the difference between zero weight and small weight: zero should be a hard exclusion.
  • Document and monitor zero-weight cases to catch data pipeline bugs or misconfigurations.

AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.

Q3

What if the sum of weights is larger than the batch size, meaning you literally cannot include every dataset in a single batch? How do you rotate across datasets fairly?

Algorithms & Data StructuresSystem DesignTechnical Trade-offs
Author's notes

This is the part I fumbled.

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AI HintsAI Generated

Suggested Approach

Clarify the scenario: when the sum of dataset weights exceeds the batch size, you cannot sample every dataset in each batch. Propose a fair rotation scheme that tracks sampling deficits and prioritizes datasets that have been underrepresented in recent batches, while respecting their target weights. Discuss trade-offs between strict fairness, simplicity, and training stability.

Pro tip: Emphasize that fairness should be defined over a window of batches, not per batch, and that the rotation should be deterministic and reproducible to avoid introducing variance that complicates debugging.

1. Clarify the constraint

Restate the problem: sum of weights > batch size means at most batch_size datasets can be included per batch, so some datasets must be skipped each step. Confirm whether weights are relative or absolute and whether the goal is proportional representation over time.

2. Define fairness over a window

Propose measuring fairness over a sliding window of batches (e.g., last N batches) rather than per batch. The target is that each dataset's inclusion frequency matches its weight proportion over the window.

3. Design a rotation algorithm

Use a deficit-based scheduler: maintain a running deficit for each dataset (target cumulative inclusions minus actual). At each batch, select the batch_size datasets with the largest deficits, then update deficits. This ensures long-term proportional representation.

4. Handle edge cases and stability

Address ties, datasets with very small weights, and the need for deterministic tie-breaking. Consider adding a small random jitter to avoid starvation and to prevent pathological patterns that could harm training.

5. Discuss trade-offs and alternatives

Compare with simpler approaches like round-robin or random sampling with replacement. Highlight that deficit-based scheduling is fair but may introduce batch-to-batch variance; suggest monitoring inclusion rates and adjusting window size as needed.

Key Points to Mention

  • Deficit-based scheduling (e.g., largest remainder method or cumulative deficit tracking)
  • Sliding window fairness vs. per-batch fairness
  • Deterministic tie-breaking and reproducibility
  • Trade-offs between fairness, simplicity, and training stability
  • Handling small weights and avoiding starvation
  • Monitoring and adjusting the rotation scheme over time

AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.

Q4

Compare the carry-over fractional approach to a Bresenham-style precomputed emission schedule. What are the trade-offs?

Technical Trade-offsAlgorithms & Data Structures
Author's notes

Bresenham gives you a fixed-length cycle you can index into directly, which makes resumption almost trivial: offset mod cycle_length and you're done.

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AI HintsAI Generated

Suggested Approach

Start by clarifying the context: these are two ways to schedule emissions (e.g., token generation or event triggering) at a desired rate. Then compare them on accuracy, computational cost, memory, and flexibility, and conclude with when each is preferable.

Pro tip: Mention that Bresenham-style precomputed schedules are essentially a form of fixed-point arithmetic that eliminates drift, while carry-over fractional methods trade exactness for simplicity and adaptability to dynamic rates.

1. Define the problem

Explain that both methods aim to emit items at a target rate (e.g., tokens per step) without floating-point operations, but they differ in how they accumulate and handle fractional remainders.

2. Describe carry-over fractional approach

In this method, each step you add the fractional rate to an accumulator; when it exceeds 1, you emit and subtract 1. It's simple, uses minimal state, and adapts easily to changing rates.

3. Describe Bresenham-style precomputed schedule

Here, you precompute a sequence of emission counts (or a pattern) using integer arithmetic to exactly distribute emissions over a fixed interval, ensuring no drift and optimal spacing.

4. Compare trade-offs

Discuss accuracy (Bresenham is exact, carry-over may drift), computational cost (carry-over is O(1) per step, Bresenham may require precomputation), memory (Bresenham may store a pattern), and flexibility (carry-over adapts to dynamic rates, Bresenham is static).

5. Conclude with use cases

Recommend carry-over for dynamic or simple scenarios, and Bresenham for fixed-rate, high-precision needs like deterministic token scheduling in ML inference.

Key Points to Mention

  • Accumulator-based carry-over can drift due to floating-point errors or truncation, while Bresenham uses integer arithmetic to avoid drift.
  • Bresenham precomputes a schedule, which may require O(1) or O(n) memory depending on implementation, but offers deterministic spacing.
  • Carry-over is more adaptable to changing rates because it recalculates each step, whereas Bresenham assumes a fixed rate.
  • Both methods avoid floating-point operations, but Bresenham often uses fixed-point or integer math for exactness.
  • In ML contexts, Bresenham-style scheduling can ensure precise token emission for batched inference, while carry-over is simpler for streaming.
  • Trade-off between simplicity and exactness: carry-over is easier to implement but may need correction; Bresenham is more complex but guarantees no drift.

AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.