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Semantic Tube Prediction: Beating LLM Data Efficiency with JEPA
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Proposes Semantic Tube Prediction (STP), an identity-predictor JEPA-style auxiliary loss that aligns hidden-state difference vectors across random token triples, improving LLM fine-tuning accuracy and data efficiency.
Problem
Next-token prediction fine-tuning is data-hungry and its hidden-state trajectories drift off error-free semantic paths, causing noisy representations and mode collapse; the paper seeks to beat data-efficiency bounds implied by scaling laws.
Approach
Introduce the Geodesic Hypothesis (token-sequence hidden-state trajectories are locally linear) and a Semantic Tube loss that penalizes the angle between h_t - h_r and h_r - h_s for randomly sampled indices s<r<t, acting as a JEPA-style regularizer with an identity predictor and no extra views or forward passes.
Key results
- STP with 1/16 of NL-RX-SYNTH training data matches full-data regular fine-tuning accuracy on Llama-3.2-1B, per the paper's claim.
- On the .* vs .*.* suffix test, Semantic Tube reaches 88.5% and 68.0% versus LLM-JEPA's 68.9% and 32.0% and regular fine-tuning's 29.9% and 28.0%.
- Optimal lambda values are small, typically 0.0025 to 0.04 across datasets and models, supporting lambda << 1.
Surprising findings
- Accuracy shows a negligible drop when the training set is halved, while regular fine-tuning degrades significantly immediately.
- Replacing the identity predictor with a learned linear projector (Pred variant) degrades performance in all configurations.
Limitations
- Geodesic/local linearity is a hypothesis; theory relies on approximations (e.g., small epsilon, infinite-width Gaussian assumptions) and proofs are sketches.
- Lambda must be tuned per setting, and large lambda causes accuracy collapse with increased variance.
- Evaluated mainly on fine-tuning with small models (1B-8B) and mostly on a single synthetic regex dataset for data-efficiency claims.
Experimental setup
Datasets: NL-RX-SYNTH NL-RX-TURK GSM8K Spider NQ-Open HellaSwag
Benchmarks: NL-RX-SYNTH NL-RX-TURK GSM8K Spider NQ-Open HellaSwag
Metrics: accuracy data efficiency (fraction of training data to match baseline standard deviation over 5 seeds paired one-tailed t-test p-value
Baselines: regular fine-tuning (NTP) LLM-JEPA
Builds on: LLM-JEPA JEPA next token prediction
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