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Large Language Diffusion Models
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Trains LLaDA, a masked diffusion language model from scratch at 8B parameters (2.3T tokens pre-training, 4.5M-pair SFT), and shows it competes with LLaMA3 8B on general benchmarks while breaking the reversal curse.
Problem
Whether the core capabilities of LLMs (scalability, in-context learning, instruction-following) depend on autoregressive modeling or can emerge from generative modeling principles via diffusion.
Approach
Replace the autoregressive formulation with a masked diffusion model: a Transformer mask predictor trained with a masked cross-entropy loss that upper-bounds the negative log-likelihood, with bidirectional conditioning and iterative low-confidence remasking at sampling time.
Key results
- LLaDA 8B Base scores 65.9 on MMLU and 70.3 on GSM8K, outperforming LLaMA3 8B Base (65.4 and 48.7) in those tables and surpassing LLaMA2 7B on nearly all tasks.
- On the Chinese poem reversal completion task, LLaDA-8B Instruct gets 45.6 reversal vs. GPT-4o's 34.3, though GPT-4o leads forward (82.7 vs 51.8).
- LLaDA 8B Instruct trails LLaMA3 8B Instruct on most metrics; e.g., GSM8K 69.4 vs 78.3 and HumanEval 49.4 vs 59.8.
Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Use CFG during inference (ablation) | LLaDA 8B Base · ARC-C | score: 45.9 -> 47.9 | Helped |
| Use CFG during inference (ablation) | LLaDA 8B Base · Hellaswag | score: 70.5 -> 72.5 | Helped |
| Use CFG during inference (ablation) | LLaDA 8B Base · TruthfulQA | score: 46.1 -> 46.4 | Helped |
| Use CFG during inference (ablation) | LLaDA 8B Base · WinoGrande | score: 74.8 -> 74.8 | No clear effect |
| Use CFG during inference (ablation) | LLaDA 8B Base · GPQA | score: 25.2 -> 26.1 | Helped |
| Use CFG during inference (ablation) | LLaDA 8B Base · PIQA | score: 73.6 -> 74.4 | Helped |
| Use pure diffusion rather than autoregressive sampling (ablation) | LLaDA 8B Base · BBH | score: 38.1 -> 49.7 | Helped |
| Use pure diffusion rather than autoregressive sampling (ablation) | LLaDA 8B Base · GSM8K | score: 63.1 -> 70.3 | Helped |
| Use pure diffusion rather than autoregressive sampling (ablation) | LLaDA 8B Base · HumanEval | score: 18.3 -> 35.4 | Helped |
| Use pure diffusion rather than autoregressive sampling (ablation) | LLaDA 8B Instruct · GSM8K | score: 0 -> 69.4 | Mixed |
| Use block diffusion rather than autoregressive sampling (ablation) | LLaDA 8B Instruct · ARC-C | score: 84.4 -> 88.1 | Helped |
| Use block diffusion LLaDA rather than block diffusion sampling (ablation) | LLaDA 8B Instruct · GSM8K | score: 24.6 -> 77.5 | Helped |
Surprising findings
- Block-diffusion-style semi-autoregressive sampling gives 78.6 GSM8K and 42.2 Math for LLaDA 8B Instruct, above the pure diffusion numbers, attributed to EOS padding in SFT data causing early termination.
- LLaDA is strong on reversal reasoning, outperforming GPT-4o and Qwen2.5-7B Instruct on reversal poem completion despite weaker forward generation.
Limitations
- Fixed user-specified generation length hyperparameter; adaptive length is left for future work.
- Compute-limited ARM comparison only up to about 1e23 FLOPs, and the 8B ARM baseline is a 7B model instead.
- No RL alignment; no specialized attention or KV-cache optimization, so inference efficiency is not addressed.
Experimental setup
Datasets: web data books academic papers code math multilingual corpus SFT instruction pairs (1M human-annotated, 3.5M synthetic)
Benchmarks: MMLU BBH ARC-C Hellaswag TruthfulQA WinoGrande PIQA GSM8K Math GPQA HumanEval HumanEval-FIM
Metrics: accuracy pass@1
Baselines: LLaMA3 8B LLaMA2 7B Qwen2 7B Qwen2.5 7B Mistral 7B Deepseek 7B Gemma2 9B GPT-4o
Builds on: masked diffusion models MaskGIT BERT LLaMA3 Warmup-Stable-Decay
Closest papers by meaning
- Scaling Diffusion Language Models via Adaptation from Autoregressive Models (ICLR 2025 · similarity 0.91)
- Fast and Fluent Diffusion Language Models via Convolutional Decoding and Rejective Fine-tuning (NeurIPS 2025 · similarity 0.91)
- Scaling up Masked Diffusion Models on Text (ICLR 2025 · similarity 0.91)
- UltraLLaDA: Scaling the Context Length to 128K for Diffusion Large Language Models (ICLR 2026 · similarity 0.91)
- LLaDA-V: Large Language Diffusion Models with Visual Instruction Tuning (CVPR 2026 · similarity 0.91)
- From Next-Token to Next-Block: A Principled Adaptation Path for Diffusion LLMs (NeurIPS 2026 · similarity 0.90)
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