mlsanityData to 14 Oct 2026

Learning to Learn a Language

arXiv 2610.05879 ↗First posted 5 Oct 2026cs.CL cs.LGcited by 0

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Abstract (arXiv)

We present the Prior-Fitted Language Model (PFLM), a 300M-parameter byte-level transformer pretrained only on samples from a synthetic non-linguistic prior. Given a prefix of real text, it learns to predict the language in context with frozen weights, having never seen a word of any real language. Every training sequence is generated by a recurrent structural causal model drawn fresh from a distribution over such models. The model never sees the same language twice during training, so the only way to predict the continuation is to infer the language from the prefix. Samples from this prior share the statistical signatures of natural text: Zipfian frequencies, slow entropy-rate convergence, and long-range dependence. On Wikipedia in six languages, bits per byte fall from the uniform eight to between 0.9 and 2.4 at one million bytes of context. Given numerals instead of text, PFLM learns to count, to compare magnitudes, and to add approximately. It predicts deterministic sequences like Rudin-Shapiro or the prime indicator, and it compresses six non-text domains, from source code to speech, below gzip and PPMd. The model has not learned a language. It has learned to learn one.

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References · 17

  1. 2020Language Models are Few-Shot Learnerscited by 32,419
  2. 2021An Explanation of In-context Learning as Implicit Bayesian Inferencecited by 938
  3. 2024MiniCPM: Unveiling the Potential of Small Language Models with Scalable Training Strategiescited by 723
  4. 2022What Can Transformers Learn In-Context? A Case Study of Simple Function Classescited by 715
  5. 2022TabPFN: A Transformer That Solves Small Tabular Classification Problems in a Secondcited by 674
  6. 2024Gated Delta Networks: Improving Mamba2 with Delta Rulecited by 532
  7. 2024FlashAttention-3: Fast and Accurate Attention with Asynchrony and Low-precisioncited by 519
  8. 2023Finite Scalar Quantization: VQ-VAE Made Simplecited by 440
  9. 2021Transformers Can Do Bayesian Inferencecited by 360
  10. 2022Data Distributional Properties Drive Emergent In-Context Learning in Transformerscited by 309
  11. 2018Molecular Sets (MOSES): A Benchmarking Platform for Molecular Generation Modelscited by 275
  12. 2018Enabling Factorized Piano Music Modeling and Generation with the MAESTRO Datasetcited by 217
5 more
  1. 2025Findings of the BabyLM Challenge: Sample-Efficient Pretraining on Developmentally Plausible Corporacited by 88
  2. 2023Modeling rapid language learning by distilling Bayesian priors into artificial neural networkscited by 42
  3. 2016Criticality in Formal Languages and Statistical Physicscited by 35
  4. 2024Learning Universal Predictorscited by 31
  5. 2026Survival In-Context: Amortized Bayesian Survival Analysis via Prior-Fitted Networkscited by 6

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