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Importance Weighting Can Help Large Language Models Self-Improve

AAAI 2025 · Large language models › Instruction and fine-tuning · approach: Fine-tuning generalization and delta compression · 3 citations (OpenAlex)

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Proposes IWSI, an LLM self-improvement method that filters self-generated reasoning samples by self-consistency plus a DS weight (a naive importance-weighting estimate of distribution shift from a tiny valid set), outperforming LMSI and matching a reward-model filter.

Problem

LLM self-improvement on self-generated data suffers from variable data quality; existing filters only check answer correctness/consistency and ignore distribution shift between self-generated and real data.

Approach

Estimate each self-generated sample's distribution shift extent (DSE) with a naive importance-weight approximation (DS weight) computed from the mean SFT loss on a tiny human-written valid set, then keep the lowest-DS-weight samples among majority-consistent ones before fine-tuning.

Key results

Measured effects reported in the paper

What was changedWhereMeasuredEffect
Add DS-weight filtering to majority-vote self-consistency filteringLlama3-8B self-improvement (IWSI vs LMSI) · GSM8Kaccuracy: 27.9 -> 37.6Helped
Add DS-weight filtering to majority-vote self-consistency filteringLlama3-8B self-improvement (IWSI vs LMSI) · SVAMPaccuracy: 45.0 -> 62.7Helped
Add DS-weight filtering to majority-vote self-consistency filteringLlama3-8B self-improvement (IWSI vs LMSI) · ANLI-A1accuracy: 25.2 -> 27.2Helped
Add DS-weight filtering to majority-vote self-consistency filteringLlama3-8B self-improvement (IWSI vs LMSI) · ANLI-A2accuracy: 22.6 -> 23.4Helped
Add DS-weight filtering to majority-vote self-consistency filteringLlama3-8B self-improvement (IWSI vs LMSI) · OpenBookQAaccuracy: 31.6 -> 37.0Helped
Add DS-weight filtering to majority-vote self-consistency filteringLlama3-8B self-improvement (IWSI vs LMSI) · StrategyQAaccuracy: 51.4 -> 54.6Helped
Use DS weight in weighted loss instead of ranking and filtering samples (ablation)IWSI · SVAMPaccuracy: 62.7 -> 43.3Hurt
Use DS weight in weighted loss instead of ranking and filtering samples (ablation)IWSI · OpenBookQAaccuracy: 37.0 -> 31.8Hurt
Vary filtering percentage k away from the appropriate range (ablation)IWSI · GSM8K, StrategyQA, and ANLI-A1accuracyMixed

Surprising findings

Limitations

Experimental setup

Datasets: gsm8k SVAMP ANLI-A1 ANLI-A2 OpenBookQA StrategyQA

Benchmarks: gsm8k SVAMP ANLI-A1 ANLI-A2 OpenBookQA StrategyQA

Metrics: accuracy

Baselines: LMSI Entropy-filter Self-filter IWSI-w RM-filter

Builds on: LMSI DIW Self-Consistency MoT Self-Alignment

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