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arxiv: 2605.00536 · v2 · submitted 2026-05-01 · 💻 cs.DC · cs.AR· cs.LG· cs.PF· cs.RO

Recognition: unknown

Tempus: A Temporally Scalable Resource-Invariant GEMM Streaming Framework for Versal AI Edge

Authors on Pith no claims yet

Pith reviewed 2026-05-09 19:05 UTC · model grok-4.3

classification 💻 cs.DC cs.ARcs.LGcs.PFcs.RO
keywords GEMMedge AItemporal scalingresource efficiencystreaming frameworkAI inferenceplatform utility
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The pith

Tempus scales GEMM workloads temporally with a fixed set of 16 cores to achieve high efficiency on resource-constrained edge devices.

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The paper introduces Tempus as a framework for performing the matrix multiplications that dominate AI inference time on edge hardware. It keeps the number of compute cores fixed rather than increasing them with workload size and instead uses repeated execution over time combined with data tiling to handle larger problems. This design is shown to deliver substantial performance at low power while using none of certain specialized memory and processing resources. A reader would care because it offers a path to running advanced AI models on devices with tight limits on size, cost, and energy without the failures seen in approaches that try to use more hardware at once.

Core claim

Tempus achieves a 211.2x higher prominence factor than leading spatial methods by using a fixed compute block of 16 cores, iterative graph execution, and algorithmic data tiling and replication, while maintaining zero utilization of certain memory and processing resources and providing 22.0x core frugality, 7.1x power frugality, and 6.3x I/O reduction.

What carries the argument

A fixed compute block of 16 specialized cores with high-speed cascade streaming for partial sum reduction and a deadlock-free dataflow protocol to maximize overlap.

If this is right

  • Delivers 607 GOPS performance at 10.677 W total on-chip power.
  • Maintains 0.00% utilization of URAM and DSP resources.
  • Achieves 211.2 times higher platform-aware utility prominence than spatial state-of-the-art.
  • Reduces core usage by 22 times, power by 7.1 times, and I/O demand by 6.3 times compared to alternatives.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

  • This method could support running larger language models on edge devices by minimizing resource consumption.
  • The temporal approach might generalize to other matrix-heavy computations beyond GEMM in AI workloads.
  • Further gains could come from combining it with model compression techniques on the same hardware.
  • Validation on a range of matrix dimensions would confirm if scalability holds without saturation.

Load-bearing premise

A fixed compute block of 16 cores with data tiling and replication achieves scalability for arbitrary GEMM sizes without bandwidth saturation or failures on edge systems.

What would settle it

Observing whether performance and frugality metrics hold as GEMM matrix dimensions increase significantly or if the implementation encounters physical resource or bandwidth limits on the target device.

Figures

Figures reproduced from arXiv: 2605.00536 by J. N\'u\~nez-Y\'a\~nez, M. Grailoo.

Figure 1
Figure 1. Figure 1: Versal ACAP Architecture: Heterogeneous System Integration and Execution Flow for our framework view at source ↗
Figure 2
Figure 2. Figure 2: Hierarchical Data Decomposition and Stream Generation. view at source ↗
Figure 3
Figure 3. Figure 3: AIE-ML Cores Data Flow for our framework: Fixed AIE-ML Compute Block with Optimized I/O Architecture view at source ↗
read the original abstract

Scaling laws for Large Language Models (LLMs) establish that model quality improves with computational scale, yet edge deployment imposes strict constraints on compute, memory, and power. Since General Matrix Multiplication (GEMM) accounts for up to 90% of inference time, efficient GEMM acceleration is critical for edge AI. The Adaptive Intelligent Engines available in the AMD Versal adaptive SoCs are well suited for this task, but existing state-of-the-art (SOTA) frameworks maximize performance through spatial scaling, distributing workloads across hundreds of cores -- an approach that fails on resource-limited edge SoCs due to physical implementation failures, bandwidth saturation, and excessive resource consumption. We propose Tempus, a Resource-Invariant Temporal GEMM framework for the AMD Versal AI Edge SoC. Rather than expanding hardware resources with matrix size, Tempus employs a fixed compute block of 16 AIE-ML cores, achieving scalability through iterative graph execution and algorithmic data tiling and replication in the Programmable Logic. High-speed cascade streaming ensures low-latency partial sum reduction at Initiation Interval (II) of 1, while a deadlock-free DATAFLOW protocol maximizes transfer-compute overlap and PLIO reuse. Evaluated on GEMM workloads, Tempus achieves 607 GOPS at 10.677 W total on-chip power. By characterizing system-level efficiency through the Platform-Aware Utility (PAU) metric, we prove that Tempus achieves a 211.2x higher prominence factor than the leading spatial SOTA (ARIES). Furthermore, the framework maintains a 0.00% utilization of URAM/DSP, yielding 22.0x core frugality, 7.1x power frugality, and a 6.3x reduction in I/O demand, establishing a sustainable, scalable foundation for edge LLM inference.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

3 major / 3 minor

Summary. The manuscript introduces Tempus, a temporally scalable, resource-invariant GEMM streaming framework targeting the AMD Versal AI Edge SoC. It employs a fixed compute block of 16 AIE-ML cores with algorithmic data tiling and replication in the Programmable Logic (PL), high-speed cascade streaming at initiation interval (II) of 1, and a deadlock-free DATAFLOW protocol for transfer-compute overlap. The framework reports 607 GOPS at 10.677 W total on-chip power with 0% URAM/DSP utilization. Using the newly introduced Platform-Aware Utility (PAU) metric, it claims a 211.2x higher prominence factor than the spatial SOTA ARIES, plus 22.0x core frugality, 7.1x power frugality, and 6.3x I/O demand reduction, positioning it as a sustainable foundation for edge LLM inference.

Significance. If the PAU-based superiority and resource-invariant scalability hold under independent scrutiny, the work offers a viable alternative to spatial scaling approaches that often fail on resource-limited edge devices. The concrete performance point (607 GOPS / 10.677 W) and emphasis on frugality metrics could inform practical edge AI deployments, particularly where URAM/DSP constraints are binding. However, the reliance on a custom metric and single-point results limits immediate impact without further validation.

major comments (3)
  1. Abstract and evaluation section: The central claim of a 211.2x higher prominence factor rests on the Platform-Aware Utility (PAU) metric introduced by the authors. The manuscript must supply the exact mathematical definition of PAU (including how 'prominence factor' is computed), the raw measurements from both Tempus and ARIES, and any equations used to derive the 211.2x ratio. Without this, the result is at risk of circularity since superiority is defined solely in terms of the new metric.
  2. Scalability discussion (likely §4 or §5): The claim of arbitrary-GEMM scalability with a fixed 16 AIE-ML core block plus PL tiling/replication is load-bearing but unsupported by evidence of constant bandwidth utilization or I/O demand as matrix dimensions increase. The manuscript should include bandwidth utilization curves, tile-transfer volume analysis, or performance data across a range of MxNxK sizes to demonstrate absence of PLIO saturation or implementation failures on the target device.
  3. Abstract and results: All reported factors (607 GOPS, 10.677 W, 22.0x core frugality, 7.1x power frugality, 6.3x I/O reduction) are presented as single-point values. The paper must specify the exact workload dimensions, number of independent runs, measurement methodology, and statistical validation (e.g., standard deviation) to allow reproducibility and to substantiate the cross-framework comparisons.
minor comments (3)
  1. Abstract: The phrasing 'we prove' is used for an empirical result; rephrase to 'we demonstrate' or 'we show' for precision.
  2. Throughout: Ensure first-use definitions for all acronyms (AIE-ML, PLIO, DATAFLOW, PAU) and consistent notation for matrix dimensions.
  3. Evaluation section: Add a side-by-side table of raw metrics (GOPS, power, resource utilization) for Tempus versus ARIES to facilitate direct comparison independent of PAU.

Simulated Author's Rebuttal

3 responses · 0 unresolved

We thank the referee for the constructive and detailed feedback. We address each major comment below and will revise the manuscript to improve clarity, provide supporting evidence, and enhance reproducibility.

read point-by-point responses
  1. Referee: Abstract and evaluation section: The central claim of a 211.2x higher prominence factor rests on the Platform-Aware Utility (PAU) metric introduced by the authors. The manuscript must supply the exact mathematical definition of PAU (including how 'prominence factor' is computed), the raw measurements from both Tempus and ARIES, and any equations used to derive the 211.2x ratio. Without this, the result is at risk of circularity since superiority is defined solely in terms of the new metric.

    Authors: We agree that the PAU metric requires an explicit mathematical definition and transparent derivation to substantiate the prominence factor claim. The manuscript introduces PAU as a platform-aware efficiency metric but we acknowledge the need for greater formality. In the revised manuscript we will add a dedicated subsection that states the exact formula for PAU, defines the prominence factor computation, presents a table of raw measurements (performance, power, resource utilization, and I/O demand) for both Tempus and ARIES under identical conditions, and shows the step-by-step equations leading to the 211.2x ratio. This will ground the comparison in verifiable data and remove any appearance of circularity. revision: yes

  2. Referee: Scalability discussion (likely §4 or §5): The claim of arbitrary-GEMM scalability with a fixed 16 AIE-ML core block plus PL tiling/replication is load-bearing but unsupported by evidence of constant bandwidth utilization or I/O demand as matrix dimensions increase. The manuscript should include bandwidth utilization curves, tile-transfer volume analysis, or performance data across a range of MxNxK sizes to demonstrate absence of PLIO saturation or implementation failures on the target device.

    Authors: The referee correctly notes that empirical validation of resource-invariant scalability strengthens the central claim. While the framework architecture is designed to keep I/O demand bounded through fixed-core temporal execution and PL replication, the manuscript would benefit from explicit supporting data. We will revise the scalability section to include bandwidth utilization curves versus matrix size, tile-transfer volume analysis, and performance results across multiple MxNxK configurations. These additions will demonstrate that PLIO utilization remains below saturation and that I/O demand does not grow with problem size, thereby supporting the arbitrary-GEMM scalability assertion within the target device constraints. revision: yes

  3. Referee: Abstract and results: All reported factors (607 GOPS, 10.677 W, 22.0x core frugality, 7.1x power frugality, 6.3x I/O reduction) are presented as single-point values. The paper must specify the exact workload dimensions, number of independent runs, measurement methodology, and statistical validation (e.g., standard deviation) to allow reproducibility and to substantiate the cross-framework comparisons.

    Authors: We accept the need for explicit experimental details to support reproducibility. In the revised abstract and results section we will state the precise GEMM workload dimensions used for each reported metric, describe the measurement methodology (including tools, power estimation method, and performance counters), indicate the number of independent runs performed, and report statistical measures such as standard deviation. The same workload will be used for all cross-framework comparisons, with any normalization steps clearly documented. revision: yes

Circularity Check

0 steps flagged

No significant circularity in derivation chain

full rationale

The paper reports concrete measured results (607 GOPS at 10.677 W total on-chip power, 0.00% URAM/DSP utilization) obtained from a fixed 16-core AIE-ML block plus PL tiling. The PAU metric is introduced as a new characterization tool to compute a prominence-factor comparison (211.2x vs ARIES), but the provided text contains no equations, definitions, or self-citation chains that reduce this comparison to a tautology or fitted input by construction. Scalability is asserted via algorithmic design choices (iterative execution, cascade streaming at II=1, deadlock-free DATAFLOW) rather than derived from first principles that loop back to the same assumptions. No load-bearing step matches any enumerated circularity pattern; the central claims rest on empirical evaluation rather than self-referential redefinition.

Axiom & Free-Parameter Ledger

1 free parameters · 1 axioms · 1 invented entities

The approach depends on standard domain assumptions about GEMM importance and introduces a custom efficiency metric without independent evidence.

free parameters (1)
  • Fixed AIE-ML core block size = 16
    Selected as the invariant compute resource to avoid spatial scaling issues.
axioms (1)
  • domain assumption GEMM accounts for up to 90% of inference time in LLMs
    Common assumption in AI acceleration literature, stated in abstract.
invented entities (1)
  • Platform-Aware Utility (PAU) metric no independent evidence
    purpose: To evaluate and compare system-level efficiency of GEMM frameworks on specific hardware platforms
    Newly introduced metric used to claim 211.2x improvement; no external validation mentioned.

pith-pipeline@v0.9.0 · 5662 in / 1780 out tokens · 71801 ms · 2026-05-09T19:05:00.764008+00:00 · methodology

discussion (0)

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Reference graph

Works this paper leans on

29 extracted references · 12 canonical work pages · 6 internal anchors

  1. [1]

    Training Compute-Optimal Large Language Models

    J. Hoffmann, S. Borgeaud, A. Mensch, E. Buchatskaya, T. Cai, E. Rutherford, D. Casas, L. A. Hendricks, J. Welbl, A. Clarket al., “Training compute-optimal large language models,”arXiv preprint arXiv:2203.15556, vol. 10, 2022

  2. [2]

    Scaling Laws for Neural Language Models

    J. Kaplan, S. McCandlish, T. Henighan, T. B. Brown, B. Chess, R. Child, S. Gray, A. Radford, J. Wu, and D. Amodei, “Scaling laws for neural language models,”arXiv preprint arXiv:2001.08361, 2020

  3. [3]

    Reconciling kaplan and chinchilla scaling laws,

    T. Pearce and J. Song, “Reconciling kaplan and chinchilla scaling laws,” arXiv preprint arXiv:2406.12907, 2024

  4. [4]

    Slim: A hetero- geneous accelerator for edge inference of sparse large language model via adaptive thresholding,

    W. Xu, H. Choi, P.-k. Hsu, S. Yu, and T. Simunic, “Slim: A hetero- geneous accelerator for edge inference of sparse large language model via adaptive thresholding,”ACM Transactions on Embedded Computing Systems, 2025

  5. [5]

    A comprehensive survey of large ai models for future com- munications: Foundations, applications and challenges,

    F. Jiang, C. Pan, L. Dong, K. Wang, M. Debbah, D. Niyato, and Z. Han, “A comprehensive survey of large ai models for future com- munications: Foundations, applications and challenges,”arXiv preprint arXiv:2505.03556, 2025

  6. [6]

    A survey: Collaborative hardware and software design in the era of large language models,

    C. Guo, F. Cheng, Z. Du, J. Kiessling, J. Ku, S. Li, Z. Li, M. Ma, T. Molom-Ochir, B. Morriset al., “A survey: Collaborative hardware and software design in the era of large language models,”IEEE Circuits and Systems Magazine, vol. 25, no. 1, pp. 35–57, 2025

  7. [7]

    Tiny but Mighty: A Software-Hardware Co-Design Approach for Efficient Multimodal Inference on Battery-Powered Small Devices

    Y . Li, S. Zhang, Y . Zeng, H. Zhang, X. Xiong, J. Liu, P. Hu, and S. Banerjee, “Tiny but mighty: A software-hardware co-design approach for efficient multimodal inference on battery-powered small devices,” arXiv preprint arXiv:2510.05109, 2025

  8. [8]

    Sgrace: scalable architecture for on-device inference and training of graph attention and convolutional networks,

    J. Nunez-Yanez and H. M. Jeddi, “Sgrace: scalable architecture for on-device inference and training of graph attention and convolutional networks,”IEEE Transactions on Very Large Scale Integration (VLSI) Systems, 2025

  9. [9]

    Heterogeneous edge computing for molecular property prediction with graph convolutional networks,

    M. Grailoo and J. Nunez-Yanez, “Heterogeneous edge computing for molecular property prediction with graph convolutional networks,”Elec- tronics, vol. 14, no. 1, p. 101, 2024

  10. [10]

    Charm 2.0: Composing heterogeneous accelerators for deep learning on versal acap architecture,

    J. Zhuang, J. Lau, H. Ye, Z. Yang, S. Ji, J. Lo, K. Denolf, S. Neuen- dorffer, A. Jones, J. Hu, Y . Shi, D. Chen, J. Cong, and P. Zhou, “Charm 2.0: Composing heterogeneous accelerators for deep learning on versal acap architecture,”ACM Transactions on Reconfigurable Technology and Systems, vol. 17, Sep 2024

  11. [11]

    Aries: An agile mlir-based compilation flow for reconfigurable devices with ai engines,

    J. Zhuang, S. Xiang, H. Chen, N. Zhang, Z. Yang, T. Mao, Z. Zhang, and P. Zhou, “Aries: An agile mlir-based compilation flow for reconfigurable devices with ai engines,” inProceedings of the 2025 ACM/SIGDA International Symposium on Field Programmable Gate Arrays (FPGA ’25), ser. FPGA ’25. Association for Computing Machinery, 2025, pp. 92–102

  12. [12]

    Accelerator design with decou- pled hardware customizations: benefits and challenges,

    D. Pal, Y .-H. Lai, S. Xiang, N. Zhang, H. Chen, J. Casas, P. Cocchini, Z. Yang, J. Yang, L.-N. Pouchetet al., “Accelerator design with decou- pled hardware customizations: benefits and challenges,” inProceedings 11 of the 59th ACM/IEEE Design Automation Conference (DAC). ACM, 2022, pp. 1351–1354

  13. [13]

    Charm: Composing heterogeneous accelerators for matrix multiply on versal acap architec- ture,

    J. Zhuang, J. Lau, H. Ye, Z. Yang, Y . Du, J. Lo, K. Denolf, S. Neuendorf- fer, A. Jones, J. Hu, D. Chen, J. Cong, and P. Zhou, “Charm: Composing heterogeneous accelerators for matrix multiply on versal acap architec- ture,” inProceedings of the 2023 ACM/SIGDA International Symposium on Field Programmable Gate Arrays, 2023

  14. [14]

    Autosa: A polyhedral compiler for high-performance systolic arrays on fpga,

    J. Wang, L. Guo, and J. Cong, “Autosa: A polyhedral compiler for high-performance systolic arrays on fpga,” inProceedings of the 2021 ACM/SIGDA International Symposium on Field Programmable Gate Arrays (FPGA ’21). ACM, 2021, pp. 93–104

  15. [15]

    Versal ai edge series gen 2 product selection guide,

    AMD, “Versal ai edge series gen 2 product selection guide,” Advanced Micro Devices, Inc., Tech. Rep., 2024, product Selection Guide. [Online]. Available: https://www.eetasia.com/wp-content/uploads/sites/ 2/2024/07/16 versal-ai-edge-gen2-psg.pdf

  16. [16]

    [Online]

    ——,AI Engine Kernel and Graph Programming Guide (UG1079), Ad- vanced Micro Devices, Inc., document ID: UG1079. [Online]. Available: https://docs.amd.com/r/en-US/ug1079-ai-engine-kernel-coding

  17. [17]

    Acap at the edge with the versal ai edge series,

    Xilinx, “Acap at the edge with the versal ai edge series,” Xilinx / AMD, Tech. Rep. WP518, v1.0, Jun. 2021, white Paper. [Online]. Available: https://docs.amd.com/api/khub/ documents/Xz0szg2HiN1YFYfaJVXcrQ/content?Ft-Calling-App= ft%2Fturnkey-portal&Ft-Calling-App-Version=4.1.3&filename= wp518-ai-edge-intro.pdf

  18. [18]

    2025.DOI: 10.48550/ ARXIV .2512.15946

    D. Danopoulos, E. Lupi, C. Sun, S. Dittmeier, M. Kagan, V . Loncar, and M. Pierini, “Aie4ml: An end-to-end framework for compiling neural networks for the next generation of amd ai engines,”arXiv preprint arXiv:2512.15946, 2025

  19. [19]

    Gama: High-performance gemm acceleration on amd versal ml-optimized ai engines,

    K. M. Mhatre, E. Taka, and A. Arora, “Gama: High-performance gemm acceleration on amd versal ml-optimized ai engines,”ArXiv preprint: 2504.09688v3, 2025

  20. [20]

    Maxeva: Maximizing the efficiency of matrix multiplication on versal ai engine,

    E. Taka, A. Arora, K.-C. Wu, and D. Marculescu, “Maxeva: Maximizing the efficiency of matrix multiplication on versal ai engine,”arXiv preprint arXiv:2311.04980 [cs], Nov 2023

  21. [21]

    Activa- tion function integration for accelerating multi-layer graph convolutional neural networks,

    M. Grailoo, T. Nikoubin, O. Gustafsson, and J. Nunez-Yanez, “Activa- tion function integration for accelerating multi-layer graph convolutional neural networks,” in2024 IEEE 17th Dallas Circuits and Systems Conference (DCAS). IEEE, 2024, pp. 1–6

  22. [22]

    Ama: An analytical approach to maximizing the efficiency of deep learning on versal ai engine,

    X. Deng, S. Wang, T. Gao, J. Liu, L. Liu, and N. Zheng, “Ama: An analytical approach to maximizing the efficiency of deep learning on versal ai engine,” in2024 34th International Conference on Field- Programmable Logic and Applications (FPL), 2024

  23. [23]

    Mapping parallel matrix multiplication in gotoblas2 to the amd versal acap for deep learning,

    J. Lei and E. S. Quintana-Ort ´ı, “Mapping parallel matrix multiplication in gotoblas2 to the amd versal acap for deep learning,” inProceedings of the 4th Workshop on Performance and Energy Efficiency in Concurrent and Distributed Systems, 2024, pp. 1–8

  24. [24]

    BERT: Pre- training of deep bidirectional transformers for language understanding,

    J. Devlin, M.-W. Chang, K. Lee, and K. Toutanova, “BERT: Pre- training of deep bidirectional transformers for language understanding,” inProceedings of the Conference of the North American Chapter of the Association for Computational Linguistics (NAACL-HLT), 2019

  25. [25]

    Attention is all you need,

    A. Vaswani, N. Shazeer, N. Parmar, J. Uszkoreit, L. Jones, A. N. Gomez, Ł. Kaiser, and I. Polosukhin, “Attention is all you need,”Advances in neural information processing systems, vol. 30, 2017

  26. [26]

    Bert: a review of applications in natural language processing and understanding.arXiv preprint arXiv:2103.11943,

    M. V . Koroteev, “Bert: a review of applications in natural language processing and understanding,”arXiv preprint arXiv:2103.11943, 2021

  27. [27]

    TinyLlama: An Open-Source Small Language Model

    P. Zhang, G. Zeng, T. Wang, and W. Lu, “TinyLlama: An open-source small language model,”arXiv preprint arXiv:2401.02385, 2024

  28. [28]

    FlashAttention-2: Faster Attention with Better Parallelism and Work Partitioning

    T. Dao, “Flashattention-2: Faster attention with better parallelism and work partitioning,”arXiv preprint arXiv:2307.08691, 2023

  29. [29]

    Gemma: Open Models Based on Gemini Research and Technology

    Gemma Team, “Gemma: Open models based on gemini technology,” arXiv preprint arXiv:2403.08295, 2024