Language & LLMs Sep 2025 · #12 most cited · 282 citations

Why Language Models Hallucinate

Adam Tauman Kalai et al.

arXiv:2509.04664

In short

The authors argue hallucinations are ordinary statistical errors: pre-training cannot always tell true from plausible-but-false statements. They persist because most benchmarks score an “I don’t know” as zero, so models are rewarded for confident guessing, and the fix is to change how evaluations are graded.

Why it matters

It reframes hallucination as an incentive problem baked into how we measure models, not a mystery.

Read first

The 4 Field Guide ideas this paper leans on.

Starting from scratch? The full route 22 ideas · basics first
  1. Natural Language Processing ✓ understood

    The field of AI that lets computers read, interpret, translate and generate human language, from spam filters and search to chatbots.

  2. Token ✓ understood

    The basic unit of text that a language model processes, typically representing a word, subword, or character. Tokens are the fundamental building blocks for LLM input and output.

  3. Tokenization ✓ understood

    Splitting text into tokens, usually subword pieces, and mapping each to an integer ID so a language model can process it.

  4. Language Modeling · read first ✓ understood

    Learning probability distributions over sequences of words to predict what comes next.

  5. Machine Learning ✓ understood

    Building systems that learn patterns from data instead of following hand-written rules, getting better at a task as they see more examples.

  6. Supervised Learning ✓ understood

    Learning from examples paired with the correct answer, so a model can predict answers for new inputs it hasn't seen.

  7. Classification · read first ✓ understood

    A supervised learning task where the model assigns each input to one of a fixed set of categories, such as spam or not spam.

  8. Dataset ✓ understood

    A collection of data examples used for training, validating, or testing machine learning models.

  9. Benchmark · read first ✓ understood

    A standardized dataset and task used to compare model performance across different approaches (ImageNet, GLUE, SuperGLUE).

  10. Training ✓ understood

    The process of fitting a model to data by repeatedly measuring how wrong its outputs are and adjusting its parameters to reduce that error.

  11. Unsupervised Learning ✓ understood

    Learning from unlabeled data to discover hidden patterns, structures, or relationships without explicit target outputs.

  12. Self-Supervised Learning ✓ understood

    Learning representations from unlabeled data by creating supervised tasks from the data itself (masked prediction, contrastive learning).

  13. Pre-training ✓ understood

    Training a model on a large dataset (often self-supervised) before fine-tuning on specific tasks, enabling transfer learning.

  14. Feature ✓ understood

    A single measurable property of an example, such as a house's floor area or how many links an email contains, used as an input to a model.

  15. Neural Network ✓ understood

    A computational model inspired by biological neural networks, consisting of interconnected nodes (neurons) organized in layers that process information through weighted connections.

  16. Deep Learning ✓ understood

    A subset of machine learning that uses neural networks with multiple layers (deep neural networks) to learn hierarchical representations of data.

  17. Representation Learning ✓ understood

    Learning useful features or representations of data automatically, rather than hand-crafting them.

  18. Embedding ✓ understood

    A list of numbers (a vector) that represents a word, sentence, image or other item, learned so that similar items end up close together.

  19. Attention Mechanism ✓ understood

    A technique that lets a neural network weigh every part of its input when producing each output, focusing on the parts most relevant at that step.

  20. Transformer ✓ understood

    A neural network architecture, introduced in 2017, built from stacked self-attention and feed-forward layers; the basis of nearly every modern large language model.

  21. Large Language Model ✓ understood

    A neural network, almost always a transformer, trained on vast amounts of text to predict the next token, which lets it write, answer, summarize and follow instructions.

  22. Hallucination · read first ✓ understood

    When language models generate plausible-sounding but factually incorrect or nonsensical information.

In the frontier

Rank
#12 of 100
Citations
282
as of Aug 9, 2026
Published
Sep 2025

Topics: Interpretability and analysis , Safety and alignment

Selection: 1kpapers.com by Together AI, most-cited as of Aug 9, 2026

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