CompactifAI: Extreme Compression of Large Language Models using Quantum-Inspired Tensor Networks
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Abstract (arXiv)
Large Language Models (LLMs) such as ChatGPT and LlaMA are advancing rapidly in generative Artificial Intelligence (AI), but their immense size poses significant challenges, such as huge training and inference costs, substantial energy demands, and limitations for on-site deployment. Traditional compression methods such as pruning, distillation, and low-rank approximation focus on reducing the effective number of neurons in the network, while quantization focuses on reducing the numerical precision of individual weights to reduce the model size while keeping the number of neurons fixed. While these compression methods have been relatively successful in practice, there is no compelling reason to believe that truncating the number of neurons is an optimal strategy. In this context, this paper introduces CompactifAI, an innovative LLM compression approach using quantum-inspired Tensor Networks that focuses on the model's correlation space instead, allowing for a more controlled, refined and interpretable model compression. Our method is versatile and can be implemented with - or on top of - other compression techniques. As a benchmark, we demonstrate that a combination of CompactifAI with quantization allows to reduce a 93% the memory size of LlaMA 7B, reducing also 70% the number of parameters, accelerating 50% the training and 25% the inference times of the model, and just with a small accuracy drop of 2% - 3%, going much beyond of what is achievable today by other compression techniques. Our methods also allow to perform a refined layer sensitivity profiling, showing that deeper layers tend to be more suitable for tensor network compression, which is compatible with recent observations on the ineffectiveness of those layers for LLM performance. Our results imply that standard LLMs are, in fact, heavily overparametrized, and do not need to be large at all.
Key facts. Cited by 32 papers in the map (data through 14 Oct 2026). Builds on 10 of its 20 references that are in the map. First posted on arXiv 25 Jan 2024.
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10 of 20 references.
References · 10
- 2017Attention Is All You Needcited by 60,361
- 2018BERT: Pre-training of Deep Bidirectional Transformers for Language Understandingcited by 40,399
- 2023LLaMA: Open and Efficient Foundation Language Modelscited by 14,132
- 2015Distilling the Knowledge in a Neural Networkcited by 10,324
- 2015Learning both Weights and Connections for Efficient Neural Networkscited by 2,031
- 2017Quantization and Training of Neural Networks for Efficient Integer-Arithmetic-Only Inferencecited by 1,593
- 2014Speeding up Convolutional Neural Networks with Low Rank Expansionscited by 284
- 2015Tensorizing Neural Networkscited by 250
- 2023Tensor Networks Meet Neural Networks: A Survey and Future Perspectivescited by 32
- 2022Quantum-Inspired Tensor Neural Networks for Partial Differential Equationscited by 9
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Citing papers per year: 2024: 9; 2025: 10; 2026: 13.
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- 2025An overview of model uncertainty and variability in LLM-based sentiment analysis. Challenges, mitigation strategies and the role of explainabilitycited by 15
- 2024Quantum Large Language Models via Tensor Network Disentanglerscited by 7
- 2024Quantum Natural Language Processingcited by 6
- 2025Quantum-Enhanced LLM Efficient Fine Tuningcited by 6
- 2025QuIC: Quantum-Inspired Compound Adapters for Parameter Efficient Fine-Tuningcited by 5
- 2025Tensor Network for Anomaly Detection in the Latent Space of Proton Collision Events at the LHCcited by 5
- 2025How to Square Tensor Networks and Circuits Without Squaring Themcited by 5
- 2025Tensorization is a powerful but underexplored tool for compression and interpretability of neural networkscited by 4
- 2024Quantum Algorithms for Compositional Text Processingcited by 3
- 2024Quantum-enhanced unsupervised image segmentation for medical images analysiscited by 3
- 2026A Practical Tensor-Network Compression Pipeline for Production-Scale Large Language Modelscited by 3
- 2026Compressing Transformer Language Models via Matrix Product Operator Decomposition: A Case Study on PicoGPTcited by 3
20 more
- 2024Tensor network compressibility of convolutional modelscited by 2
- 2024Quantum-inspired Techniques in Tensor Networks for Industrial Contextscited by 2
- 2025Accuracy and Consumption analysis from a compressed model by CompactifAI from Multiverse Computingcited by 2
- 2024No-Free-Lunch Theories for Tensor-Network Machine Learning Modelscited by 1
- 2026Tensor Methods for Language Models: From Token Representation to Training, Adaptation, Inference, Compression, and Interpretabilitycited by 1
- 2024T'ecnicas Quantum-Inspired en Tensor Networks para Contextos Industrialescited by 0
- 2024QIANets: Quantum-Integrated Adaptive Networks for Reduced Latency and Improved Inference Times in CNN Modelscited by 0
- 2025Explaining Anomalies with Tensor Networkscited by 0
- 2025A tensor network approach for chaotic time series predictioncited by 0
- 2025epiGPTope: A machine learning-based epitope generator and classifiercited by 0
- 2026Private and interpretable clinical prediction with quantum-inspired tensor train modelscited by 0
- 2026Weight Clustering Reveals the Importance of Relative Rank in Large Language Modelscited by 0
- 2026Quantum-inspired tensor networks in machine learning modelscited by 0
- 2026Entanglement is Half the Story: Post-Selection vs. Partial Tracescited by 0
- 2026Fast Tensorization of Neural Networks via Slice-wise Feature Distillationcited by 0
- 2026Fairness Pruning: Locating Demographic Bias in GLU-MLP Layers via Differential Activationscited by 0
- 2026Quantization-Aware Healing: A Practical Recipe for Recovering Compressed, 4-Bit LLMscited by 0
- 2026Emergence of Fibrations, Compression, and Symmetry Breaking in Artificial Neural Networkscited by 0
- 2026Gaussian Universality and Its Breakdown in Tensor-Network Machine Learningcited by 0
- 2026Activation-Aware Weight Tensorization: A Calibration-Time Preconditioner for Tensor-Network LLM Compressioncited by 0
- 2026Activation-Aware Weight Tensorization: A Calibration-Time Preconditioner for Tensor-Network LLM Compression7 Oct 2026
- 2026Gaussian Universality and Its Breakdown in Tensor-Network Machine Learning5 Oct 2026
- 2026Emergence of Fibrations, Compression, and Symmetry Breaking in Artificial Neural Networks1 Sep 2026
- 2026Tensor Methods for Language Models: From Token Representation to Training, Adaptation, Inference, Compression, and Interpretability31 Aug 2026
- 2026Quantization-Aware Healing: A Practical Recipe for Recovering Compressed, 4-Bit LLMs21 Aug 2026
- 2026Fairness Pruning: Locating Demographic Bias in GLU-MLP Layers via Differential Activations30 Jul 2026
- 2026Fast Tensorization of Neural Networks via Slice-wise Feature Distillation19 May 2026
- 2026Entanglement is Half the Story: Post-Selection vs. Partial Traces4 May 2026
- 2026Quantum-inspired tensor networks in machine learning models15 Apr 2026
- 2026Compressing Transformer Language Models via Matrix Product Operator Decomposition: A Case Study on PicoGPT30 Mar 2026
- 2026Weight Clustering Reveals the Importance of Relative Rank in Large Language Models18 Mar 2026
- 2026Private and interpretable clinical prediction with quantum-inspired tensor train models5 Feb 2026
20 more
- 2026A Practical Tensor-Network Compression Pipeline for Production-Scale Large Language Models2 Feb 2026
- 2025How to Square Tensor Networks and Circuits Without Squaring Them18 Dec 2025
- 2025epiGPTope: A machine learning-based epitope generator and classifier3 Sep 2025
- 2025Accuracy and Consumption analysis from a compressed model by CompactifAI from Multiverse Computing7 Jul 2025
- 2025Tensor Network for Anomaly Detection in the Latent Space of Proton Collision Events at the LHC30 May 2025
- 2025Tensorization is a powerful but underexplored tool for compression and interpretability of neural networks26 May 2025
- 2025A tensor network approach for chaotic time series prediction23 May 2025
- 2025Explaining Anomalies with Tensor Networks6 May 2025
- 2025An overview of model uncertainty and variability in LLM-based sentiment analysis. Challenges, mitigation strategies and the role of explainability6 Apr 2025
- 2025Quantum-Enhanced LLM Efficient Fine Tuning17 Mar 2025
- 2025QuIC: Quantum-Inspired Compound Adapters for Parameter Efficient Fine-Tuning10 Feb 2025
- 2024No-Free-Lunch Theories for Tensor-Network Machine Learning Models7 Dec 2024
- 2024Quantum-enhanced unsupervised image segmentation for medical images analysis22 Nov 2024
- 2024Quantum Large Language Models via Tensor Network Disentanglers22 Oct 2024
- 2024QIANets: Quantum-Integrated Adaptive Networks for Reduced Latency and Improved Inference Times in CNN Models14 Oct 2024
- 2024Quantum Algorithms for Compositional Text Processing12 Aug 2024
- 2024Quantum-inspired Techniques in Tensor Networks for Industrial Contexts17 Apr 2024
- 2024Quantum Natural Language Processing28 Mar 2024
- 2024Tensor network compressibility of convolutional models21 Mar 2024
- 2024T'ecnicas Quantum-Inspired en Tensor Networks para Contextos Industriales8 Mar 2024
- 2025An overview of model uncertainty and variability in LLM-based sentiment analysis. Challenges, mitigation strategies and the role of explainabilitycited by 15
- 2024Quantum Large Language Models via Tensor Network Disentanglerscited by 7
- 2024Quantum Natural Language Processingcited by 6
- 2025Quantum-Enhanced LLM Efficient Fine Tuningcited by 6
- 2025QuIC: Quantum-Inspired Compound Adapters for Parameter Efficient Fine-Tuningcited by 5
- 2025Tensor Network for Anomaly Detection in the Latent Space of Proton Collision Events at the LHCcited by 5
- 2025How to Square Tensor Networks and Circuits Without Squaring Themcited by 5
- 2025Tensorization is a powerful but underexplored tool for compression and interpretability of neural networkscited by 4
- 2024Quantum Algorithms for Compositional Text Processingcited by 3
- 2024Quantum-enhanced unsupervised image segmentation for medical images analysiscited by 3
- 2026Compressing Transformer Language Models via Matrix Product Operator Decomposition: A Case Study on PicoGPTcited by 3
- 2024Tensor network compressibility of convolutional modelscited by 2
12 most cited of 30 All 30 (JSON)
- 2026Activation-Aware Weight Tensorization: A Calibration-Time Preconditioner for Tensor-Network LLM Compression7 Oct 2026
- 2026Gaussian Universality and Its Breakdown in Tensor-Network Machine Learning5 Oct 2026
- 2026Emergence of Fibrations, Compression, and Symmetry Breaking in Artificial Neural Networks1 Sep 2026
- 2026Tensor Methods for Language Models: From Token Representation to Training, Adaptation, Inference, Compression, and Interpretability31 Aug 2026
- 2026Quantization-Aware Healing: A Practical Recipe for Recovering Compressed, 4-Bit LLMs21 Aug 2026
- 2026Fairness Pruning: Locating Demographic Bias in GLU-MLP Layers via Differential Activations30 Jul 2026
- 2026Entanglement is Half the Story: Post-Selection vs. Partial Traces4 May 2026
- 2026Quantum-inspired tensor networks in machine learning models15 Apr 2026
- 2026Compressing Transformer Language Models via Matrix Product Operator Decomposition: A Case Study on PicoGPT30 Mar 2026
- 2026Weight Clustering Reveals the Importance of Relative Rank in Large Language Models18 Mar 2026
- 2026Private and interpretable clinical prediction with quantum-inspired tensor train models5 Feb 2026
- 2025How to Square Tensor Networks and Circuits Without Squaring Them18 Dec 2025
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