Scalable MatMul-free Language Modeling
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Abstract (arXiv)
Large Language Models (LLMs) have fundamentally altered how we approach scaling in machine learning. However, these models pose substantial computational and memory challenges, primarily due to the reliance on matrix multiplication (MatMul) within their attention and feed-forward (FFN) layers. We demonstrate that MatMul operations can be eliminated from LLMs while maintaining strong performance, even at billion-parameter scales. Our MatMul-free models, tested on models up to 2.7B parameters, are comparable to state-of-the-art pre-trained Transformers, and the performance gap narrows as model size increases. Our approach yields significant memory savings: a GPU-efficient implementation reduces memory consumption by up to 61% during training and over 10x during inference. When adapted for a multi-chip neuromorphic system, the model leverages asynchronous processing to achieve 4x higher throughput with 10x less energy than edge GPUs.
Key facts. Cited by 21 papers in the map (data through 7 Oct 2026). Builds on 52 of its 70 references that are in the map. First posted on arXiv 4 Jun 2024.
Builds on
52 of 70 references.
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50 most cited of 52 All 52 (JSON)
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Citing papers per year: 2024: 8; 2025: 9; 2026: 4.
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- 2026Sparse PPMI Graph Averaging for Random Indexing Embeddings6 Aug 2026
- 2025Reservoir Computing inspired Matrix Multiplication-free Language Model29 Dec 2025
- 2025Compute-in-Memory Implementation of State Space Models for Event Sequence Processing17 Nov 2025
- 2025MoTE: Mixture of Ternary Experts for Memory-efficient Large Multimodal Models17 Jun 2025
- 2025BitVLA: 1-bit Vision-Language-Action Models for Robotics Manipulation9 Jun 2025
- 2025All-optical temporal integration mediated by subwavelength heat antennas7 May 2025
- 2025PROM: Prioritize Reduction of Multiplications Over Lower Bit-Widths for Efficient CNNs6 May 2025
- 2025Changing Base Without Losing Pace: A GPU-Efficient Alternative to MatMul in DNNs15 Mar 2025
- 2025Neuromorphic Principles for Efficient Large Language Models on Intel Loihi 212 Feb 2025
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- 2024Unsupervised Training of Diffusion Models for Feasible Solution Generation in Neural Combinatorial Optimization15 Oct 2024
- 2024Accurate Compression of Text-to-Image Diffusion Models via Vector Quantization31 Aug 2024
- 2024Towards Resilient and Efficient LLMs: A Comparative Study of Efficiency, Performance, and Adversarial Robustness8 Aug 2024
- 2024u-μP: The Unit-Scaled Maximal Update Parametrization24 Jul 2024
- 2024ShiftAddLLM: Accelerating Pretrained LLMs via Post-Training Multiplication-Less Reparameterization10 Jun 2024
- 2024Scaling Laws for Precisioncited by 92
- 2025RandLoRA: Full-rank parameter-efficient fine-tuning of large modelscited by 34
- 2024u-μP: The Unit-Scaled Maximal Update Parametrizationcited by 29
- 2024ShiftAddLLM: Accelerating Pretrained LLMs via Post-Training Multiplication-Less Reparameterizationcited by 27
- 2024Towards Resilient and Efficient LLMs: A Comparative Study of Efficiency, Performance, and Adversarial Robustnesscited by 22
- 2025Neuromorphic Principles for Efficient Large Language Models on Intel Loihi 2cited by 6
- 2025Compute-in-Memory Implementation of State Space Models for Event Sequence Processingcited by 6
- 2024Unlocking the Theory Behind Scaling 1-Bit Neural Networkscited by 3
- 2025Changing Base Without Losing Pace: A GPU-Efficient Alternative to MatMul in DNNscited by 2
- 2024Character-level Tokenizations as Powerful Inductive Biases for RNA Foundational Modelscited by 1
- 2025PROM: Prioritize Reduction of Multiplications Over Lower Bit-Widths for Efficient CNNscited by 1
- 2025All-optical temporal integration mediated by subwavelength heat antennascited by 0
12 most cited of 16 All 16 (JSON)
- 2026Change the Product, Keep the Parameters: Associative Algebra Layers for Transformers26 Sep 2026
- 2026Length-Independent State Tracking Under a Parallel Scan26 Sep 2026
- 2026Sparse PPMI Graph Averaging for Random Indexing Embeddings6 Aug 2026
- 2025Reservoir Computing inspired Matrix Multiplication-free Language Model29 Dec 2025
- 2025Compute-in-Memory Implementation of State Space Models for Event Sequence Processing17 Nov 2025
- 2025All-optical temporal integration mediated by subwavelength heat antennas7 May 2025
- 2025PROM: Prioritize Reduction of Multiplications Over Lower Bit-Widths for Efficient CNNs6 May 2025
- 2025Changing Base Without Losing Pace: A GPU-Efficient Alternative to MatMul in DNNs15 Mar 2025
- 2025Neuromorphic Principles for Efficient Large Language Models on Intel Loihi 212 Feb 2025
- 2025RandLoRA: Full-rank parameter-efficient fine-tuning of large models3 Feb 2025
- 2024Scaling Laws for Precision7 Nov 2024
- 2024Character-level Tokenizations as Powerful Inductive Biases for RNA Foundational Models5 Nov 2024
12 newest of 16 All 16 (JSON)