Baseline Shape Decides the Verdict: A Controlled Re-Examination of Ternary Language Models at 60K Parameters
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Abstract (arXiv)
Ternary (1.58-bit) weights are attractive for microcontroller-class language models, but the sub-1M-parameter regime rests mainly on isolated, single-seed comparisons. One prominent example reports that a routed ternary block (convolution, diagonal SSM and sparse attention mixed by a per-token router) beats a parameter-matched full-precision transformer by 22% at 60K parameters, attributing this to inductive bias. We re-run it under one fixed recipe, three seeds per cell, 98 byte-level runs on one laptop. (i) Baseline shape dominates: at a 16M-byte budget, param-matched transformers span 22.6% in validation loss purely by depth/width choice - far more than any architecture effect we measure there - and the best-shaped transformer ties the routed model, so the published margin is at least partly a baseline-shape effect; the ordering of shapes reverses with budget, so no single fixed shape can be trusted. (ii) At 130M bytes the routed model does win, by 22.2-24.0% over the three transformer shapes we evaluate there - but a plain gated diagonal-SSM block beats it by a further 9.1%, and the routed model's own router puts most of its weight on its recurrent pathway, so the gain does not require routing. (iii) The ternary penalty differs by architecture at the larger budget (+5.3% best transformer vs. +19.5% routed, +28.1% gated SSM), but we cannot attribute that to architecture alone: our transformers keep learned positional embeddings in full precision, 11-22% of their parameters, so they are less quantized than the models they are compared with. (iv) A 90/10 full-precision-then-ternary schedule beats all-ternary training, but only at a stage-2 learning rate about 10x the pretraining peak; at a conventional fine-tuning rate it looks 15.3% worse, reversing the conclusion. The from-scratch baseline was not itself learning-rate tuned, which bounds (iii) and (iv). Code and run logs released.
Key facts. No citing papers in the map yet (data through 7 Oct 2026). Builds on 11 of its 16 references that are in the map. First posted on arXiv 24 Sep 2026.
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References · 11
- 2023Mamba: Linear-Time Sequence Modeling with Selective State Spacescited by 4,616
- 2022Training Compute-Optimal Large Language Modelscited by 2,927
- 2013Estimating or Propagating Gradients Through Stochastic Neurons for Conditional Computationcited by 2,031
- 2023TinyStories: How Small Can Language Models Be and Still Speak Coherent English?cited by 425
- 2024The Era of 1-bit LLMs: All Large Language Models are in 1.58 Bitscited by 289
- 2022Scaling Laws vs Model Architectures: How does Inductive Bias Influence Scaling?cited by 103
- 2024Hymba: A Hybrid-head Architecture for Small Language Modelscited by 95
- 2024Spectra: Surprising Effectiveness of Pretraining Ternary Language Models at Scalecited by 20
- 2026Mapping the Schedule x Bit-Width Boundary in Sub-100M Quantisation-Aware Trainingcited by 2
- 2026TernaryLM: Memory-Efficient Language Modeling via Native 1.5-Bit Quantization with Adaptive Layer-wise Scalingcited by 1
- 2026Ternary Mamba: Grouped Quantization-Aware Training of W1.58A16 State Space Modelscited by 1
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