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Paper · arXiv

Modernizing Amdahl's Law: How AI Scaling Laws Shape Computer Architecture

Classical Amdahl's Law conceptualized the limit of speedup for an era of fixed serial-parallel decomposition and homogeneous replication. Modern heterogeneous systems need a different conceptual framework: constrained resources must be allocated across heterogeneous hardware while workloads themselves change, with some stages becoming effectively bounded and others continuing to absorb additional effective compute. This paper reformulates Amdahl's Law around that shift. We replace processor count with an allocation variable, replace the classical parallel fraction with a value-scalable fraction, and model specialization by a relative efficiency ratio between dedicated and programmable com...

AuthorsChien-Ping Lu
Primary categorycs.DC
Published21 March 2026
Last updated at source8 April 2026
cs.DCcs.AIcs.AR
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