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Learning Distribution-wise Control in Representation Space for Language Models

ICML 2025 · Large language models › Instruction and fine-tuning · approach: Efficient LLM fine-tuning systems · 0 citations (OpenAlex)

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Replaces deterministic ReFT-style intervention layers with stochastic reparameterized (mean and variance) layers, learning distributions over representation interventions, mainly in early layers, and evaluates on commonsense and arithmetic reasoning with Llama models.

Problem

Pointwise learnable interventions (representation fine-tuning) control LM behavior only at single points in representation space; the paper asks whether learning distributions over interventions (the neighborhood of the concept subspace) improves controllability and robustness.

Approach

Replace the deterministic intervention network with a stochastic one: separate MLPs learn mean and log-variance, and outputs are sampled via the reparameterization trick (no KL term), applied as a drop-in to ReFT, RED, MLP and SwiGLU, with model-specific clamping; best when applied to the first 25% of layers.

Key results

Measured effects reported in the paper

What was changedWhereMeasuredEffect
Replace the first 25% of ReFT layers with D-ReFTReFT · Commonsense reasoning (8 benchmarks), LLaMA-7Baccuracy (Avg.): 80.2 -> 82.2Helped
Replace the first 25% of ReFT layers with D-ReFTReFT · Commonsense reasoning (8 benchmarks), LLaMA-13Baccuracy (Avg.): 83.3 -> 85.1Helped
Replace the first 25% of ReFT layers with D-ReFTReFT · Commonsense reasoning (8 benchmarks), LLaMA-2-7Baccuracy (Avg.): 81.8 -> 83.6Helped
Replace the first 25% of ReFT layers with D-ReFTReFT · Commonsense reasoning (8 benchmarks), Llama-3-8Baccuracy (Avg.): 86.6 -> 89.1Helped
Replace the first 25% of ReFT layers with D-ReFTReFT · Arithmetic reasoning (7 benchmarks), LLaMA-7Baccuracy (Avg.): 59.9 -> 61.2Helped
Replace the first 25% of ReFT layers with D-ReFTReFT · Arithmetic reasoning (7 benchmarks), LLaMA-2-7Baccuracy (Avg.): 62.3 -> 63.7Helped
Replace the first 25% of ReFT layers with D-ReFTReFT · Arithmetic reasoning (7 benchmarks), LLaMA-3-8Baccuracy (Avg.): 76.6 -> 77.4Helped
Increase the fraction of layers using D-ReFT beyond 25% (ablation)D-ReFT mixed-layer strategy · Commonsense reasoning (8 benchmarks)accuracy: 82.2 -> 81.0; 82.2 -> 79.4; 82.2 -> 79.3 (LLaMA-7B)Hurt
Use deterministic inference (τ=0) instead of baseline sampling (ablation)D-ReFT · Commonsense reasoningperformance: 88.6 -> 89.3Helped
Use deterministic inference (τ=0) instead of baseline sampling (ablation)D-ReFT · Arithmetic reasoningperformance: 76.6 -> 79.2Helped
Use deterministic inference (τ=0) instead of baseline sampling (ablation)D-ReFT · Instruction followingperformance: 82.4 -> 80.1Hurt
Increase inference temperature to τ=2 (ablation)D-ReFT · Instruction followingperformance: 82.4 -> 85.9Helped

Surprising findings

Limitations

Experimental setup

Datasets: Commonsense170K Math10K UltraFeedback GSM8K development split

Benchmarks: BoolQ PIQA SIQA HellaSwag WinoGrande ARC-e ARC-c OBQA AddSub SingleEQ MultiArith AQuA

Metrics: accuracy win rate

Baselines: ReFT RED LoRA DoRA Prefix-tuning Adapter ChatGPT SwiGLU MLP

Builds on: ReFT variational autoencoder LoFiT RED LoRA

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