mlsanityData to 14 Oct 2026

Pretraining Large Language Models with NVFP4

arXiv 2509.25149 ↗First posted 29 Sep 2025cs.CL cs.AI cs.LGcited by 76

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Abstract (arXiv)

Large Language Models (LLMs) today are powerful problem solvers across many domains, and they continue to get stronger as they scale in model size, training set size, and training set quality, as shown by extensive research and experimentation across the industry. Training a frontier model today requires on the order of tens to hundreds of yottaflops, which is a massive investment of time, compute, and energy. Improving pretraining efficiency is therefore essential to enable the next generation of even more capable LLMs. While 8-bit floating point (FP8) training is now widely adopted, transitioning to even narrower precision, such as 4-bit floating point (FP4), could unlock additional improvements in computational speed and resource utilization. However, quantization at this level poses challenges to training stability, convergence, and implementation, notably for large-scale models trained on long token horizons. In this study, we introduce a novel approach for stable and accurate training of large language models (LLMs) using the NVFP4 format. Our method integrates Random Hadamard transforms (RHT) to bound block-level outliers, employs a two-dimensional quantization scheme for consistent representations across both the forward and backward passes, utilizes stochastic rounding for unbiased gradient estimation, and incorporates selective high-precision layers. We validate our approach by training a 12-billion-parameter model on 10 trillion tokens -- the longest publicly documented training run in 4-bit precision to date. Our results show that the model trained with our NVFP4-based pretraining technique achieves training loss and downstream task accuracies comparable to an FP8 baseline. These findings highlight that NVFP4, when combined with our training approach, represents a major step forward in narrow-precision LLM training algorithms.

Key facts. Cited by 76 papers in the map (data through 14 Oct 2026). Builds on 23 of its 30 references that are in the map. First posted on arXiv 29 Sep 2025.

Builds on

23 of 30 references.

References · 23

  1. 2019Root Mean Square Layer Normalizationcited by 1,480
  2. 2022SmoothQuant: Accurate and Efficient Post-Training Quantization for Large Language Modelscited by 1,386
  3. 2022LLM.int8(): 8-bit Matrix Multiplication for Transformers at Scalecited by 906
  4. 2024MiniCPM: Unveiling the Potential of Small Language Models with Scalable Training Strategiescited by 723
  5. 2024QuaRot: Outlier-Free 4-Bit Inference in Rotated LLMscited by 634
  6. 2016DoReFa-Net: Training Low Bitwidth Convolutional Neural Networks with Low Bitwidth Gradientscited by 569
  7. 2024FlashAttention-3: Fast and Accurate Attention with Asynchrony and Low-precisioncited by 519
  8. 2024QuIP#: Even Better LLM Quantization with Hadamard Incoherence and Lattice Codebookscited by 378
  9. 2025NVIDIA Nemotron Nano 2: An Accurate and Efficient Hybrid Mamba-Transformer Reasoning Modelcited by 108
  10. 2025Nemotron-H: A Family of Accurate and Efficient Hybrid Mamba-Transformer Modelscited by 100
  11. 2025Optimizing Large Language Model Training Using FP4 Quantizationcited by 56
  12. 2025FP4 All the Way: Fully Quantized Training of LLMscited by 40
11 more
  1. 2025Quartet: Native FP4 Training Can Be Optimal for Large Language Modelscited by 39
  2. 2025Training LLMs with MXFP4cited by 37
  3. 2025Systematic Outliers in Large Language Modelscited by 33
  4. 2021Accurate Neural Training with 4-bit Matrix Multiplications at Standard Formatscited by 26
  5. 2024Maximize Your Data's Potential: Enhancing LLM Accuracy with Two-Phase Pretrainingcited by 26
  6. 2025Recipes for Pre-training LLMs with MXFP8cited by 22
  7. 2024Pushing the Limits of Large Language Model Quantization via the Linearity Theoremcited by 21
  8. 2025Oscillation-Reduced MXFP4 Training for Vision Transformerscited by 21
  9. 2025Outlier-Safe Pre-Training for Robust 4-Bit Quantization of Large Language Modelscited by 13
  10. 2025Towards Efficient Pre-training: Exploring FP4 Precision in Large Language Modelscited by 8
  11. 2025Rethinking the Outlier Distribution in Large Language Models: An In-depth Studycited by 4

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Cited by year (2026 to 14 Oct)

Citing papers per year: 2025: 8; 2026: 68.

76 papers.

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  1. 2025NVIDIA Nemotron 3: Efficient and Open Intelligencecited by 65
  2. 2026Nemotron 3 Ultra: Open, Efficient Mixture-of-Experts Hybrid Mamba-Transformer Model for Agentic Reasoningcited by 42
  3. 2026Nemotron 3 Super: Open, Efficient Mixture-of-Experts Hybrid Mamba-Transformer Model for Agentic Reasoningcited by 38
  4. 2025Four Over Six: More Accurate NVFP4 Quantization with Adaptive Block Scalingcited by 35
  5. 2026LongLive-2.0: An NVFP4 Parallel Infrastructure for Long Video Generationcited by 30
  6. 2026The Spike, the Sparse and the Sink: Anatomy of Massive Activations and Attention Sinkscited by 27
  7. 2026A Unified View of Attention and Residual Sinks: Outlier-Driven Rescaling is Essential for Transformer Trainingcited by 23
  8. 2026Quantization-Aware Distillation for NVFP4 Inference Accuracy Recoverycited by 22
  9. 2026Composer 2 Technical Reportcited by 22
  10. 2026Scalable Training of Mixture-of-Experts Models with Megatron Corecited by 19
  11. 2025TetraJet-v2: Accurate NVFP4 Training for Large Language Models with Oscillation Suppression and Outlier Controlcited by 14
  12. 2026HiFloat4 Format for Language Model Inferencecited by 11
38 more
  1. 2026Attn-QAT: 4-Bit Attention With Quantization-Aware Trainingcited by 8
  2. 2026Full-Stack FP4: Stable LLM Pretraining with Quantized Projections, Optimizers, and Attentioncited by 8
  3. 2025MACKO: Sparse Matrix-Vector Multiplication for Low Sparsitycited by 6
  4. 2026DAMP: Decay-Aware Mixed-Precision Recurrent-State Quantizationcited by 6
  5. 2025Mixed-Precision Quantization for Language Models: Techniques and Prospectscited by 5
  6. 2026HiFloat4 Format for Language Model Pre-training on Ascend NPUscited by 5
  7. 2026StoSignSGD: Unbiased Structural Stochasticity Fixes SignSGD for Training Large Language Modelscited by 5
  8. 2026Pretraining large language models with MXFP4 on Native FP4 Hardwarecited by 5
  9. 2026FAAR: Format-Aware Adaptive Rounding for NVFP4cited by 4
  10. 2026SOAR: Scale Optimization for Accurate Reconstruction in NVFP4 Quantizationcited by 4
  11. 2026ThriftAttention: Selective Mixed Precision for Long-Context FP4 Attentioncited by 4
  12. 2026Dissecting Outlier Dynamics in LLM NVFP4 Pretrainingcited by 3
  13. 2026QUADS: Stabilizing NVFP4 Reinforcement Learning for MoE via QUantization-error Alignment across Dual Sidescited by 3
  14. 2026Stable FP4 Training via Transposition-Invariant Block Quantizationcited by 3
  15. 2025BOOST: BOttleneck-Optimized Scalable Training Framework for Low-Rank Large Language Modelscited by 2
  16. 2026SNIP: An Adaptive Mixed Precision Framework for Subbyte Large Language Model Trainingcited by 2
  17. 2026Practical FP4 Training for Large-Scale MoE Models on Hopper GPUscited by 2
  18. 2026Diagnosing FP4 inference: a layer-wise and block-wise sensitivity analysis of NVFP4 and MXFP4cited by 2
  19. 2026VFA: Relieving Vector Operations in Flash Attention with Global Maximum Pre-computationcited by 2
  20. 2026Normalized Architectures are Natively 4-Bitcited by 2
  21. 2026ScaleSweep: Accurate NVFP4 Post-Training Quantization of LLMs via Block Scale Initializationcited by 2
  22. 2026Rethinking Shrinkage Bias in LLM FP4 Pretraining: Geometric Origin, Systemic Impact, and UFP4 Recipecited by 2
  23. 2026Quantizing Recursive Reasoning Modelscited by 2
  24. 2026UE5M3 FP4 Block Scaling for Stable Language Model Pretrainingcited by 2
  25. 2026Why Gated DeltaNet Survives 4-Bit Quantization: NVFP4 W4A4 for the Recurrent Half of a Hybrid 27B LLMcited by 2
  26. 2025CafeQ: Calibration-free Quantization via Learned Transformations and Adaptive Roundingcited by 1
  27. 2026BAPS: A Fine-Grained Low-Precision Scheme for Softmax in Attention via Block-Aware Precision reScalingcited by 1
  28. 2026Price of metric universality in vector quantization is at most 0.11 bitcited by 1
  29. 2026LoKA: Low-precision Kernel Applications for Recommendation Models At Scalecited by 1
  30. 2026Decomposing MXFP4 quantization error for LLM reinforcement learning: reducible bias, recoverable deadzone, and an irreducible floorcited by 1
  31. 2026Instant GPU Efficiency Visibility at Fleet Scalecited by 1
  32. 2026Information-Theoretic Lower Bounds for Bit-Constrained Stochastic Optimization via a Reduction to Compressed Gaussian Mean Estimationcited by 1
  33. 2026FP8 is All You Need (Part 1): Debunking Hardware FP64 as the HPC Holy Grail (Sep 3rd version)cited by 1
  34. 2026GRINQH: Graded Input-based Quantization Hierarchy for Efficient LLM Generationcited by 1
  35. 2026Variable Bit-width Quantization: Learning Per-Group Precision for "Bigger-but-Smaller" Language Modelscited by 1
  36. 2026FourTune: Towards Fully 4-Bit Efficient Post-Training for Diffusion Modelscited by 1
  37. 2026QUASAR: Lowering the Loss Floor of Quantization-Aware Training with Loss-Aware Reconstructioncited by 1
  38. 2026QATFactory: A Versatile, Deployment-Aligned Framework for Quantization-aware Training and Distillation of LLMscited by 1

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  3. 2023ZeroQuant-FP: A Leap Forward in LLMs Post-Training W4A8 Quantization Using Floating-Point Formats
  4. 2023Understanding the Impact of Post-Training Quantization on Large Language Models
  5. 2024LLMC: Benchmarking Large Language Model Quantization with a Versatile Compression Toolkit
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  7. 2024BiLLM: Pushing the Limit of Post-Training Quantization for LLMs
  8. 2024A Comprehensive Evaluation of Quantization Strategies for Large Language Models