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Variational Neurons in Transformers for Language Modeling

arXiv 2603.28219 ↗First posted 30 Mar 2026cs.LGcited by 1

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Abstract (arXiv)

Transformers for language modeling usually rely on deterministic internal computation, with uncertainty expressed mainly at the output layer. We introduce variational neurons into Transformer feed-forward computation so that uncertainty becomes part of the internal computation itself. Concretely, we replace deterministic feed-forward units with local variational units based on EVE while preserving the overall Transformer backbone. We evaluate this design in compact next-token language-modeling settings. We compare deterministic and variational variants with both predictive and probabilistic criteria. Alongside negative log-likelihood, perplexity and accuracy, we analyze calibration, conditional variance, mutual information and latent-usage statistics. The resulting picture is clear. Variational neurons integrate stably into Transformers, preserve strong predictive performance and produce informative uncertainty signals. The experiments also show that task quality, useful depth and internal stability are distinct properties. These results establish variational Transformers as a practical form of uncertainty-aware language modeling. They show that Transformers can predict with an explicit internal structure of uncertainty, which supports stronger probabilistic evaluation and a more informative analysis of model behavior.

Key facts. Cited by 1 paper in the map (data through 7 Oct 2026). Builds on 8 of its 11 references that are in the map. First posted on arXiv 30 Mar 2026.

Builds on

8 of 11 references.

References · 8

  1. 2017Attention Is All You Needcited by 59,932
  2. 2017On Calibration of Modern Neural Networkscited by 4,860
  3. 2015Dropout as a Bayesian Approximation: Representing Model Uncertainty in Deep Learningcited by 4,416
  4. 2016Simple and Scalable Predictive Uncertainty Estimation using Deep Ensemblescited by 3,888
  5. 2015Generating Sentences from a Continuous Spacecited by 607
  6. 2019Lagging Inference Networks and Posterior Collapse in Variational Autoencoderscited by 124
  7. 2020Wat zei je? Detecting Out-of-Distribution Translations with Variational Transformerscited by 31
  8. 2022BayesFormer: Transformer with Uncertainty Estimationcited by 19

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