PLDR-LLM: Large Language Model from Power Law Decoder Representations
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Abstract (arXiv)
We present the Large Language Model from Power Law Decoder Representations (PLDR-LLM), a language model that leverages non-linear and linear transformations through Power Law Graph Attention mechanism to generate well-defined deductive and inductive outputs. We pretrain the PLDR-LLMs of varying layer sizes with a small batch size of 32 and ~8B tokens from the RefinedWeb dataset, and show that they achieve competitive performance in zero-shot and few-shot settings compared to scaled dot-product LLMs of similar model size reported in the literature. We show that deductive outputs of PLDR-LLMs can be used to compare model characteristics or improve the performance by introducing the Directed Acyclic Graph (DAG) loss as a metric and regularizer. Our results indicate that the initial maximum learning rate and warm-up steps have a lasting impact on deductive outputs throughout the pretraining. We provide a detailed description of PLDR-LLM architecture, its implementation and the pretraining procedure.
Key facts. Cited by 4 papers in the map (data through 14 Oct 2026). Builds on 33 of its 45 references that are in the map. First posted on arXiv 22 Oct 2024.
Builds on
33 of 45 references.
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Built on by
Citing papers per year: 2025: 1; 2026: 3.
4 papers.
- 2025PLDR-LLMs Learn A Generalizable Tensor Operator That Can Replace Its Own Deep Neural Net At Inferencecited by 3
- 2026PLDR-LLMs Reason At Self-Organized Criticalitycited by 2
- 2026Power law graph attention: exact generalization of scaled dot-product attention, empirical collapse at inferencecited by 1
- 2026Training and Inference Dynamics of PLDR-LLMs: Row-Map Collapse, Renormalization, and Predictive Reductioncited by 0
- 2026Training and Inference Dynamics of PLDR-LLMs: Row-Map Collapse, Renormalization, and Predictive Reduction28 Sep 2026
- 2026Power law graph attention: exact generalization of scaled dot-product attention, empirical collapse at inference10 Aug 2026
- 2026PLDR-LLMs Reason At Self-Organized Criticality12 Mar 2026
- 2025PLDR-LLMs Learn A Generalizable Tensor Operator That Can Replace Its Own Deep Neural Net At Inference19 Feb 2025