8-bit Numerical Formats for Deep Neural Networks
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Abstract (arXiv)
Given the current trend of increasing size and complexity of machine learning architectures, it has become of critical importance to identify new approaches to improve the computational efficiency of model training. In this context, we address the advantages of floating-point over fixed-point representation, and present an in-depth study on the use of 8-bit floating-point number formats for activations, weights, and gradients for both training and inference. We explore the effect of different bit-widths for exponents and significands and different exponent biases. The experimental results demonstrate that a suitable choice of these low-precision formats enables faster training and reduced power consumption without any degradation in accuracy for a range of deep learning models for image classification and language processing.
Key facts. Cited by 25 papers in the map (data through 14 Oct 2026). Builds on 29 of its 49 references that are in the map. First posted on arXiv 6 Jun 2022.
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29 of 49 references.
References · 29
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Citing papers per year: 2022: 2; 2023: 9; 2024: 3; 2025: 6; 2026: 5.
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- 2022FP8 Formats for Deep Learningcited by 196
- 2022Efficient Methods for Natural Language Processing: A Surveycited by 78
- 2023FP8 versus INT8 for efficient deep learning inferencecited by 31
- 2023Efficient Post-training Quantization with FP8 Formatscited by 29
- 2024u-μP: The Unit-Scaled Maximal Update Parametrizationcited by 29
- 2023Training and inference of large language models using 8-bit floating pointcited by 20
- 2023Unit Scaling: Out-of-the-Box Low-Precision Trainingcited by 17
- 2025Low-Precision Training of Large Language Models: Methods, Challenges, and Opportunitiescited by 11
- 2023A Performance Evaluation of a Quantized Large Language Model on Various Smartphonescited by 7
- 2026StoSignSGD: Unbiased Structural Stochasticity Fixes SignSGD for Training Large Language Modelscited by 5
- 2023RedMule: A Mixed-Precision Matrix-Matrix Operation Engine for Flexible and Energy-Efficient On-Chip Linear Algebra and TinyML Training Accelerationcited by 4
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- 2025Compute Requirements for Algorithmic Innovation in Frontier AI Modelscited by 2
- 2023Just-in-time Quantization with Processing-In-Memory for Efficient ML Trainingcited by 1
- 2025Optimal Formats for Weight Quantisationcited by 1
- 2026Every Bit Counts: A Theoretical Study of Precision-Expressivity Tradeoffs in Quantized Transformerscited by 1
- 2026Novel Aspects of IEEE SA P3109 Arithmetic Formats for Machine Learningcited by 1
- 2025Precision-Scalable Microscaling Datapaths with Optimized Reduction Tree for Efficient NPU Integrationcited by 0
- 2026Golden Ruler: A Numeric Format Catalog with Bit-Exact Conformance Vectors for FP8, BF16, MXFP4, and Microscaling Formatscited by 0
- 2026Hadamard-Domain Model Quantization for Learned Image Codingcited by 0
- 2026Hadamard-Domain Model Quantization for Learned Image Coding3 Aug 2026
- 2026Golden Ruler: A Numeric Format Catalog with Bit-Exact Conformance Vectors for FP8, BF16, MXFP4, and Microscaling Formats8 Jun 2026
- 2026Novel Aspects of IEEE SA P3109 Arithmetic Formats for Machine Learning1 Jun 2026
- 2026StoSignSGD: Unbiased Structural Stochasticity Fixes SignSGD for Training Large Language Models16 Apr 2026
- 2026Every Bit Counts: A Theoretical Study of Precision-Expressivity Tradeoffs in Quantized Transformers2 Feb 2026
- 2025Precision-Scalable Microscaling Datapaths with Optimized Reduction Tree for Efficient NPU Integration9 Nov 2025
- 2025DeepSeek: Paradigm Shifts and Technical Evolution in Large AI Models14 Jul 2025
- 2025Compute Requirements for Algorithmic Innovation in Frontier AI Models13 Jul 2025
- 2025Optimal Formats for Weight Quantisation19 May 2025
- 2025Low-Precision Training of Large Language Models: Methods, Challenges, and Opportunities2 May 2025
- 2025On Stochastic Rounding with Few Random Bits29 Apr 2025
- 2024DeepSeek-V3 Technical Report27 Dec 2024
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- 2024u-μP: The Unit-Scaled Maximal Update Parametrization24 Jul 2024
- 2024Scalify: scale propagation for efficient low-precision LLM training24 Jul 2024
- 2023A Performance Evaluation of a Quantized Large Language Model on Various Smartphones19 Dec 2023
- 2023Low-Precision Mixed-Computation Models for Inference on Edge3 Dec 2023
- 2023Shedding the Bits: Pushing the Boundaries of Quantization with Minifloats on FPGAs21 Nov 2023
- 2023Just-in-time Quantization with Processing-In-Memory for Efficient ML Training8 Nov 2023
- 2023Training and inference of large language models using 8-bit floating point29 Sep 2023
- 2023Efficient Post-training Quantization with FP8 Formats26 Sep 2023
- 2023FP8 versus INT8 for efficient deep learning inference31 Mar 2023
- 2023Unit Scaling: Out-of-the-Box Low-Precision Training20 Mar 2023
- 2023RedMule: A Mixed-Precision Matrix-Matrix Operation Engine for Flexible and Energy-Efficient On-Chip Linear Algebra and TinyML Training Acceleration10 Jan 2023
- 2022FP8 Formats for Deep Learning12 Sep 2022
- 2022Efficient Methods for Natural Language Processing: A Survey31 Aug 2022
- 2023Efficient Post-training Quantization with FP8 Formatscited by 29
- 2023Efficient Post-training Quantization with FP8 Formats26 Sep 2023
- 2024DeepSeek-V3 Technical Reportcited by 811
- 2024DeepSeek-V3 Technical Report27 Dec 2024
- 2022FP8 Formats for Deep Learningcited by 196
- 2022Efficient Methods for Natural Language Processing: A Surveycited by 78
- 2023FP8 versus INT8 for efficient deep learning inferencecited by 31
- 2024u-μP: The Unit-Scaled Maximal Update Parametrizationcited by 29
- 2023Training and inference of large language models using 8-bit floating pointcited by 20
- 2023Unit Scaling: Out-of-the-Box Low-Precision Trainingcited by 17
- 2025Low-Precision Training of Large Language Models: Methods, Challenges, and Opportunitiescited by 11
- 2023A Performance Evaluation of a Quantized Large Language Model on Various Smartphonescited by 7
- 2026StoSignSGD: Unbiased Structural Stochasticity Fixes SignSGD for Training Large Language Modelscited by 5
- 2023RedMule: A Mixed-Precision Matrix-Matrix Operation Engine for Flexible and Energy-Efficient On-Chip Linear Algebra and TinyML Training Accelerationcited by 4
- 2023Shedding the Bits: Pushing the Boundaries of Quantization with Minifloats on FPGAscited by 4
- 2023Low-Precision Mixed-Computation Models for Inference on Edgecited by 4
12 most cited of 22 All 22 (JSON)
- 2026Hadamard-Domain Model Quantization for Learned Image Coding3 Aug 2026
- 2026Golden Ruler: A Numeric Format Catalog with Bit-Exact Conformance Vectors for FP8, BF16, MXFP4, and Microscaling Formats8 Jun 2026
- 2026Novel Aspects of IEEE SA P3109 Arithmetic Formats for Machine Learning1 Jun 2026
- 2026StoSignSGD: Unbiased Structural Stochasticity Fixes SignSGD for Training Large Language Models16 Apr 2026
- 2026Every Bit Counts: A Theoretical Study of Precision-Expressivity Tradeoffs in Quantized Transformers2 Feb 2026
- 2025Precision-Scalable Microscaling Datapaths with Optimized Reduction Tree for Efficient NPU Integration9 Nov 2025
- 2025Compute Requirements for Algorithmic Innovation in Frontier AI Models13 Jul 2025
- 2025Optimal Formats for Weight Quantisation19 May 2025
- 2025Low-Precision Training of Large Language Models: Methods, Challenges, and Opportunities2 May 2025
- 2025On Stochastic Rounding with Few Random Bits29 Apr 2025
- 2024u-μP: The Unit-Scaled Maximal Update Parametrization24 Jul 2024
- 2024Scalify: scale propagation for efficient low-precision LLM training24 Jul 2024
12 newest of 22 All 22 (JSON)