A Tighter Complexity Analysis of SparseGPT
Not on the map. Why?
Abstract (arXiv)
In this work, we improved the analysis of the running time of SparseGPT [Frantar, Alistarh ICML 2023] from O(d3) to O(dω + d2+a+o(1) + d1+ω(1,1,a)-a) for any a ∈ [0, 1], where ω is the exponent of matrix multiplication. In particular, for the current ω ≈ 2.371 [Alman, Duan, Williams, Xu, Xu, Zhou 2024], our running time boils down to O(d2.53). This running time is due to the analysis of the lazy update behavior in iterative maintenance problems such as [Deng, Song, Weinstein 2022; Brand, Song, Zhou ICML 2024].
Key facts. Cited by 19 papers in the map (data through 7 Oct 2026). Builds on 75 of its 103 references that are in the map. First posted on arXiv 22 Aug 2024.
Builds on
75 of 103 references.
References · 75
- 2020Language Models are Few-Shot Learnerscited by 32,199
- 2023Mamba: Linear-Time Sequence Modeling with Selective State Spacescited by 4,616
- 2022FlashAttention: Fast and Memory-Efficient Exact Attention with IO-Awarenesscited by 3,611
- 2022OPT: Open Pre-trained Transformer Language Modelscited by 3,464
- 2023FlashAttention-2: Faster Attention with Better Parallelism and Work Partitioningcited by 2,551
- 2018The Lottery Ticket Hypothesis: Finding Sparse, Trainable Neural Networkscited by 2,250
- 2023Efficient Streaming Language Models with Attention Sinkscited by 2,115
- 2015Learning both Weights and Connections for Efficient Neural Networkscited by 1,998
- 2024Transformers are SSMs: Generalized Models and Efficient Algorithms Through Structured State Space Dualitycited by 1,283
- 2023AWQ: Activation-aware Weight Quantization for LLM Compression and Accelerationcited by 1,234
- 2023SparseGPT: Massive Language Models Can Be Accurately Pruned in One-Shotcited by 1,090
- 2024Medusa: Simple LLM Inference Acceleration Framework with Multiple Decoding Headscited by 821
38 more
- 2023H2O: Heavy-Hitter Oracle for Efficient Generative Inference of Large Language Modelscited by 805
- 2018SNIP: Single-shot Network Pruning based on Connection Sensitivitycited by 802
- 2020Up or Down? Adaptive Rounding for Post-Training Quantizationcited by 600
- 2020What is the State of Neural Network Pruning?cited by 578
- 2021Sparsity in Deep Learning: Pruning and growth for efficient inference and training in neural networkscited by 521
- 2024FlashAttention-3: Fast and Accurate Attention with Asynchrony and Low-precisioncited by 507
- 2024Quest: Query-Aware Sparsity for Efficient Long-Context LLM Inferencecited by 487
- 2020Pruning neural networks without any data by iteratively conserving synaptic flowcited by 475
- 2020Picking Winning Tickets Before Training by Preserving Gradient Flowcited by 467
- 2023Model Tells You What to Discard: Adaptive KV Cache Compression for LLMscited by 466
- 2021BRECQ: Pushing the Limit of Post-Training Quantization by Block Reconstructioncited by 464
- 2023Hyena Hierarchy: Towards Larger Convolutional Language Modelscited by 388
- 2018Blockwise Parallel Decoding for Deep Autoregressive Modelscited by 318
- 2022Optimal Brain Compression: A Framework for Accurate Post-Training Quantization and Pruningcited by 317
- 2024LayerSkip: Enabling Early Exit Inference and Self-Speculative Decodingcited by 302
- 2023Deja Vu: Contextual Sparsity for Efficient LLMs at Inference Timecited by 247
- 2023Compressing Context to Enhance Inference Efficiency of Large Language Modelscited by 185
- 2022A Fast Post-Training Pruning Framework for Transformerscited by 161
- 2024The Hedgehog & the Porcupine: Expressive Linear Attentions with Softmax Mimicrycited by 119
- 2021Accelerated Sparse Neural Training: A Provable and Efficient Method to Find N:M Transposable Maskscited by 103
- 2023Fast Attention Requires Bounded Entriescited by 102
- 2018Solving Linear Programs in the Current Matrix Multiplication Timecited by 100
- 2024TriForce: Lossless Acceleration of Long Sequence Generation with Hierarchical Speculative Decodingcited by 98
- 2023HyperAttention: Long-context Attention in Near-Linear Timecited by 85
- 2024Get More with LESS: Synthesizing Recurrence with KV Cache Compression for Efficient LLM Inferencecited by 75
- 2021Only Train Once: A One-Shot Neural Network Training And Pruning Frameworkcited by 70
- 2021Training Multi-Layer Over-Parametrized Neural Network in Subquadratic Timecited by 62
- 2020Training (Overparametrized) Neural Networks in Near-Linear Timecited by 58
- 2023KDEformer: Accelerating Transformers via Kernel Density Estimationcited by 58
- 2020An Improved Cutting Plane Method for Convex Optimization, Convex-Concave Games and its Applicationscited by 57
- 2019The Generalization-Stability Tradeoff In Neural Network Pruningcited by 54
- 2019Solving Empirical Risk Minimization in the Current Matrix Multiplication Timecited by 53
- 2020A Faster Interior Point Method for Semidefinite Programmingcited by 53
- 2024Linearizing Large Language Modelscited by 51
- 2024QJL: 1-Bit Quantized JL Transform for KV Cache Quantization with Zero Overheadcited by 47
- 2019A Deterministic Linear Program Solver in Current Matrix Multiplication Timecited by 42
- 2024On Computational Limits of Modern Hopfield Models: A Fine-Grained Complexity Analysiscited by 41
- 2024On Statistical Rates and Provably Efficient Criteria of Latent Diffusion Transformers (DiTs)cited by 39
50 most cited of 75 All 75 (JSON)
Built on by
Citing papers per year: 2024: 8; 2025: 11.
19 papers.
Sort:
By area:
- 2025Tensor Product Attention Is All You Needcited by 27
- 2024Circuit Complexity Bounds for RoPE-based Transformer Architecturecited by 26
- 2024Multi-Layer Transformers Gradient Can be Approximated in Almost Linear Timecited by 22
- 2024Bypassing the Exponential Dependency: Looped Transformers Efficiently Learn In-context by Multi-step Gradient Descentcited by 21
- 2024The Computational Limits of State-Space Models and Mamba via the Lens of Circuit Complexitycited by 21
- 2024HSR-Enhanced Sparse Attention Accelerationcited by 19
- 2025High-Order Matching for One-Step Shortcut Diffusion Modelscited by 15
- 2024Theoretical Constraints on the Expressive Power of mathsfRoPE-based Tensor Attention Transformerscited by 12
- 2025Video Latent Flow Matching: Optimal Polynomial Projections for Video Interpolation and Extrapolationcited by 11
- 2025Theoretical Guarantees for High Order Trajectory Refinement in Generative Flowscited by 9
- 2025Fast RoPE Attention: Combining the Polynomial Method and Fast Fourier Transformcited by 9
- 2025Only Large Weights (And Not Skip Connections) Can Prevent the Perils of Rank Collapsecited by 7
7 more
- 2024Advancing the Understanding of Fixed Point Iterations in Deep Neural Networks: A Detailed Analytical Studycited by 4
- 2025Scaling Law Phenomena Across Regression Paradigms: Multiple and Kernel Approachescited by 4
- 2025Neural Algorithmic Reasoning for Hypergraphs with Looped Transformerscited by 3
- 2025When Can We Solve the Weighted Low Rank Approximation Problem in Truly Subquadratic Time?cited by 3
- 2024Differentially Private Kernel Density Estimationcited by 2
- 2025Time and Memory Trade-off of KV-Cache Compression in Tensor Transformer Decodingcited by 2
- 2025Theoretical Foundation of Flow-Based Time Series Generation: Provable Approximation, Generalization, and Efficiencycited by 2
- 2025Only Large Weights (And Not Skip Connections) Can Prevent the Perils of Rank Collapse22 May 2025
- 2025Fast RoPE Attention: Combining the Polynomial Method and Fast Fourier Transform17 May 2025
- 2025Theoretical Foundation of Flow-Based Time Series Generation: Provable Approximation, Generalization, and Efficiency18 Mar 2025
- 2025Time and Memory Trade-off of KV-Cache Compression in Tensor Transformer Decoding14 Mar 2025
- 2025Theoretical Guarantees for High Order Trajectory Refinement in Generative Flows12 Mar 2025
- 2025Scaling Law Phenomena Across Regression Paradigms: Multiple and Kernel Approaches3 Mar 2025
- 2025When Can We Solve the Weighted Low Rank Approximation Problem in Truly Subquadratic Time?24 Feb 2025
- 2025High-Order Matching for One-Step Shortcut Diffusion Models2 Feb 2025
- 2025Video Latent Flow Matching: Optimal Polynomial Projections for Video Interpolation and Extrapolation1 Feb 2025
- 2025Neural Algorithmic Reasoning for Hypergraphs with Looped Transformers18 Jan 2025
- 2025Tensor Product Attention Is All You Need11 Jan 2025
- 2024Theoretical Constraints on the Expressive Power of mathsfRoPE-based Tensor Attention Transformers23 Dec 2024
7 more
- 2024The Computational Limits of State-Space Models and Mamba via the Lens of Circuit Complexity9 Dec 2024
- 2024Circuit Complexity Bounds for RoPE-based Transformer Architecture12 Nov 2024
- 2024Advancing the Understanding of Fixed Point Iterations in Deep Neural Networks: A Detailed Analytical Study15 Oct 2024
- 2024Bypassing the Exponential Dependency: Looped Transformers Efficiently Learn In-context by Multi-step Gradient Descent15 Oct 2024
- 2024HSR-Enhanced Sparse Attention Acceleration14 Oct 2024
- 2024Differentially Private Kernel Density Estimation3 Sep 2024
- 2024Multi-Layer Transformers Gradient Can be Approximated in Almost Linear Time23 Aug 2024
- 2025High-Order Matching for One-Step Shortcut Diffusion Modelscited by 15
- 2025Video Latent Flow Matching: Optimal Polynomial Projections for Video Interpolation and Extrapolationcited by 11
- 2025Theoretical Guarantees for High Order Trajectory Refinement in Generative Flowscited by 9
- 2025Theoretical Foundation of Flow-Based Time Series Generation: Provable Approximation, Generalization, and Efficiencycited by 2
- 2025Theoretical Foundation of Flow-Based Time Series Generation: Provable Approximation, Generalization, and Efficiency18 Mar 2025
- 2025Theoretical Guarantees for High Order Trajectory Refinement in Generative Flows12 Mar 2025
- 2025High-Order Matching for One-Step Shortcut Diffusion Models2 Feb 2025
- 2025Video Latent Flow Matching: Optimal Polynomial Projections for Video Interpolation and Extrapolation1 Feb 2025
- 2025Tensor Product Attention Is All You Needcited by 27
- 2024Circuit Complexity Bounds for RoPE-based Transformer Architecturecited by 26
- 2024Multi-Layer Transformers Gradient Can be Approximated in Almost Linear Timecited by 22
- 2024Bypassing the Exponential Dependency: Looped Transformers Efficiently Learn In-context by Multi-step Gradient Descentcited by 21
- 2024HSR-Enhanced Sparse Attention Accelerationcited by 19
- 2024Theoretical Constraints on the Expressive Power of mathsfRoPE-based Tensor Attention Transformerscited by 12
- 2025Fast RoPE Attention: Combining the Polynomial Method and Fast Fourier Transformcited by 9
- 2025Only Large Weights (And Not Skip Connections) Can Prevent the Perils of Rank Collapsecited by 7
- 2024Advancing the Understanding of Fixed Point Iterations in Deep Neural Networks: A Detailed Analytical Studycited by 4
- 2025Scaling Law Phenomena Across Regression Paradigms: Multiple and Kernel Approachescited by 4
- 2025When Can We Solve the Weighted Low Rank Approximation Problem in Truly Subquadratic Time?cited by 3
- 2024Differentially Private Kernel Density Estimationcited by 2
- 2025Only Large Weights (And Not Skip Connections) Can Prevent the Perils of Rank Collapse22 May 2025
- 2025Fast RoPE Attention: Combining the Polynomial Method and Fast Fourier Transform17 May 2025
- 2025Scaling Law Phenomena Across Regression Paradigms: Multiple and Kernel Approaches3 Mar 2025
- 2025When Can We Solve the Weighted Low Rank Approximation Problem in Truly Subquadratic Time?24 Feb 2025
- 2025Tensor Product Attention Is All You Need11 Jan 2025
- 2024Theoretical Constraints on the Expressive Power of mathsfRoPE-based Tensor Attention Transformers23 Dec 2024
- 2024Circuit Complexity Bounds for RoPE-based Transformer Architecture12 Nov 2024
- 2024Advancing the Understanding of Fixed Point Iterations in Deep Neural Networks: A Detailed Analytical Study15 Oct 2024
- 2024Bypassing the Exponential Dependency: Looped Transformers Efficiently Learn In-context by Multi-step Gradient Descent15 Oct 2024
- 2024HSR-Enhanced Sparse Attention Acceleration14 Oct 2024
- 2024Differentially Private Kernel Density Estimation3 Sep 2024
- 2024Multi-Layer Transformers Gradient Can be Approximated in Almost Linear Time23 Aug 2024