mlsanityData to 14 Oct 2026

NxMTransformer: Semi-Structured Sparsification for Natural Language Understanding via ADMM

arXiv 2110.15766 ↗First posted 28 Oct 2021cs.CL cs.AIcited by 19

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Abstract (arXiv)

Natural Language Processing (NLP) has recently achieved success by using huge pre-trained Transformer networks. However, these models often contain hundreds of millions or even billions of parameters, bringing challenges to online deployment due to latency constraints. Recently, hardware manufacturers have introduced dedicated hardware for NxM sparsity to provide the flexibility of unstructured pruning with the runtime efficiency of structured approaches. NxM sparsity permits arbitrarily selecting M parameters to retain from a contiguous group of N in the dense representation. However, due to the extremely high complexity of pre-trained models, the standard sparse fine-tuning techniques often fail to generalize well on downstream tasks, which have limited data resources. To address such an issue in a principled manner, we introduce a new learning framework, called NxMTransformer, to induce NxM semi-structured sparsity on pretrained language models for natural language understanding to obtain better performance. In particular, we propose to formulate the NxM sparsity as a constrained optimization problem and use Alternating Direction Method of Multipliers (ADMM) to optimize the downstream tasks while taking the underlying hardware constraints into consideration. ADMM decomposes the NxM sparsification problem into two sub-problems that can be solved sequentially, generating sparsified Transformer networks that achieve high accuracy while being able to effectively execute on newly released hardware. We apply our approach to a wide range of NLP tasks, and our proposed method is able to achieve 1.7 points higher accuracy in GLUE score than current practices. Moreover, we perform detailed analysis on our approach and shed light on how ADMM affects fine-tuning accuracy for downstream tasks. Finally, we illustrate how NxMTransformer achieves performance improvement with knowledge distillation.

Key facts. Cited by 19 papers in the map (data through 14 Oct 2026). Builds on 30 of its 54 references that are in the map. First posted on arXiv 28 Oct 2021.

Builds on

30 of 54 references.

References · 30

  1. 2018BERT: Pre-training of Deep Bidirectional Transformers for Language Understandingcited by 40,399
  2. 2014Adam: A Method for Stochastic Optimizationcited by 37,240
  3. 2019PyTorch: An Imperative Style, High-Performance Deep Learning Librarycited by 20,305
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  5. 2015Distilling the Knowledge in a Neural Networkcited by 10,324
  6. 2018GLUE: A Multi-Task Benchmark and Analysis Platform for Natural Language Understandingcited by 4,899
  7. 2019DistilBERT, a distilled version of BERT: smaller, faster, cheaper and lightercited by 4,307
  8. 2018The Lottery Ticket Hypothesis: Finding Sparse, Trainable Neural Networkscited by 2,262
  9. 2019TinyBERT: Distilling BERT for Natural Language Understandingcited by 1,167
  10. 2019Are Sixteen Heads Really Better than One?cited by 816
  11. 2017In-Datacenter Performance Analysis of a Tensor Processing Unitcited by 618
  12. 2016Learning Structured Sparsity in Deep Neural Networkscited by 541
18 more
  1. 2019Patient Knowledge Distillation for BERT Model Compressioncited by 508
  2. 2020MobileBERT: a Compact Task-Agnostic BERT for Resource-Limited Devicescited by 482
  3. 2019Q-BERT: Hessian Based Ultra Low Precision Quantization of BERTcited by 359
  4. 2019Measuring Bias in Contextualized Word Representationscited by 276
  5. 2020The Lottery Ticket Hypothesis for Pre-trained BERT Networkscited by 275
  6. 2021Accelerating Sparse Deep Neural Networkscited by 223
  7. 2020Compressing BERT: Studying the Effects of Weight Pruning on Transfer Learningcited by 185
  8. 2020Social Biases in NLP Models as Barriers for Persons with Disabilitiescited by 182
  9. 2021Learning N:M Fine-grained Structured Sparse Neural Networks From Scratchcited by 179
  10. 2020BinaryBERT: Pushing the Limit of BERT Quantizationcited by 178
  11. 2020Characterising Bias in Compressed Modelscited by 167
  12. 2018TVM: An Automated End-to-End Optimizing Compiler for Deep Learningcited by 62
  13. 2019PCONV: The Missing but Desirable Sparsity in DNN Weight Pruning for Real-time Execution on Mobile Devicescited by 50
  14. 2020LadaBERT: Lightweight Adaptation of BERT through Hybrid Model Compressioncited by 45
  15. 2018ADMM-NN: An Algorithm-Hardware Co-Design Framework of DNNs Using Alternating Direction Method of Multiplierscited by 42
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  18. 2018Progressive Weight Pruning of Deep Neural Networks using ADMMcited by 11

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Cited by year (2026 to 14 Oct)

Citing papers per year: 2022: 3; 2023: 6; 2024: 3; 2025: 6; 2026: 1.

19 papers.

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  1. 2023Scaling Down to Scale Up: A Guide to Parameter-Efficient Fine-Tuningcited by 173
  2. 2024Low-Rank Few-Shot Adaptation of Vision-Language Modelscited by 104
  3. 2024DoRA: Enhancing Parameter-Efficient Fine-Tuning with Dynamic Rank Distributioncited by 43
  4. 2023A Survey of Techniques for Optimizing Transformer Inferencecited by 35
  5. 2023STEP: Learning N:M Structured Sparsity Masks from Scratch with Preconditioncited by 26
  6. 2022Dimensionality Reduced Training by Pruning and Freezing Parts of a Deep Neural Network, a Surveycited by 12
  7. 2022Minimum Variance Unbiased N:M Sparsity for the Neural Gradientscited by 9
  8. 2023DSFormer: Effective Compression of Text-Transformers by Dense-Sparse Weight Factorizationcited by 3
  9. 2025CLIP-SVD: Efficient and Interpretable Vision-Language Adaptation via Singular Valuescited by 3
  10. 2022Compressing Pre-trained Transformers via Low-Bit NxM Sparsity for Natural Language Understandingcited by 2
  11. 2024A Convex-optimization-based Layer-wise Post-training Pruner for Large Language Modelscited by 2
  12. 2025Samoyeds: Accelerating MoE Models with Structured Sparsity Leveraging Sparse Tensor Corescited by 2
7 more
  1. 2025Improvise, Adapt, Overcome -- Telescopic Adapters for Efficient Fine-tuning of Vision Language Models in Medical Imagingcited by 2
  2. 2023Privacy Amplification by Iteration for ADMM with (Strongly) Convex Objective Functionscited by 1
  3. 2025An Efficient Sparse Fine-Tuning with Low Quantization Error via Neural Network Pruningcited by 1
  4. 2025SPAP: Structured Pruning via Alternating Optimization and Penalty Methodscited by 1
  5. 2025MaskPro: Linear-Space Probabilistic Learning for Strict (N:M)-Sparsity on LLMscited by 1
  6. 2026NanoQuant: Efficient Sub-1-Bit Quantization of Large Language Modelscited by 1
  7. 2023Archtree: on-the-fly tree-structured exploration for latency-aware pruning of deep neural networkscited by 0

Similar, not cited

Close in wording, no citation either way

  1. 2025CAST: Continuous and Differentiable Semi-Structured Sparsity-Aware Training for Large Language Models
  2. 2025Amber Pruner: Leveraging N:M Activation Sparsity for Efficient Prefill in Large Language Models
  3. 2025TwIST: Rigging the Lottery in Transformers with Independent Subnetwork Training
  4. 2025The Unseen Frontier: Pushing the Limits of LLM Sparsity with Surrogate-Free ADMM
  5. 2026Sparse-BitNet: 1.58-bit LLMs are Naturally Friendly to Semi-Structured Sparsity
  6. 2025Accelerating LLM Inference with Flexible N:M Sparsity via A Fully Digital Compute-in-Memory Accelerator
  7. 2024Parameter-Efficient Sparsity Crafting from Dense to Mixture-of-Experts for Instruction Tuning on General Tasks
  8. 2025From 2:4 to 8:16 sparsity patterns in LLMs for Outliers and Weights with Variance Correction