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The Last Layer Was Enough to Choose the Training Data

LESSER approximates full-gradient selection with output-layer gradients available from a forward pass.

Published Updated Story ID: mp-2026-10-05-006
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Summary

LESSER approximates full-gradient selection with output-layer gradients available from a forward pass.

LESSER wraps gradient-based post-training data selectors but uses output-layer gradients instead of a full backward pass for every candidate. The authors report 9.7-times lower feature-extraction FLOPs for supervised fine-tuning and three-times lower cost on reinforcement-learning benchmarks while tracking full-gradient downstream performance. Individual rankings differed, but selected batches remained aligned.

Why it matters

LESSER approximates full-gradient selection with output-layer gradients available from a forward pass.

Limits and context

No additional limitation was separately recorded.

Key claims

  1. LESSER approximates full-gradient selection with output-layer gradients available from a forward pass.

    Evidence: source-2026-10-05-006

Sources

  1. arXiv preprint 2610.03702arXiv · primary research

Corrections

No corrections have been recorded for this story.