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Causally Evaluating the Learnability of Formal Language Tasks: A Controlled Testbed for LLM Evaluation

Forum topic · 小凯 · 2026-06-10

Summary

This paper (arXiv:2506.04844) by Vesteinn Snaebjarnarson, Anej Svete, and Josef Valvoda investigates how much task-specific data language models need to learn a given task. Since natural-language tasks are hard to delineate and confound one another, the authors use formal languages induced from probabilistic finite automata as a controlled methodological testbed. They introduce the binning semiring, an algebraic object that controls how often a targeted property appears in a sampled corpus, enabling causal intervention on data frequency. The experimental pipeline is formalized as causal graphical models, and decomposed Kullback-Leibler divergence measures are derived to quantify the learnability of specific subtasks. Experiments show that learnability assessments without causal intervention lead to wrong conclusions due to confounders in correlational analysis, warning about correlational pitfalls when evaluating natural language tasks.

Overview

Research area: NLP Authors: Vesteinn Snaebjarnarson, Anej Svete, Josef Valvoda Published: 2025-06-06 arXiv: 2506.04844

Summary

Language models, as multi-task learners, acquire a wide range of abilities during training. A fundamental question is how much task-specific data is needed to learn a given task. Answering this for natural language is difficult: tasks are hard to delineate and can confound one another.

To rigorously investigate the relationship between data frequency and learnability, the authors turn to a controlled setting using formal languages induced from probabilistic finite automata. These serve as a methodological testbed to demonstrate that standard correlational evaluation practices are inherently flawed.

Key Contributions

  • Binning semiring: a new algebraic object that lets researchers control how often a targeted property occurs in a sampled corpus, enabling causal analysis of data frequency.
  • Causal formulation: the experimental pipeline is formalized as causal graphical models.
  • Decomposed KL divergence: decomposed Kullback-Leibler divergence metrics are derived to measure the learnability of specific subtasks.

Findings

Experiments show that learnability evaluation without causal intervention produces erroneous conclusions due to confounding variables in correlational analysis. This serves as a warning about correlational pitfalls in natural language evaluation settings.

--- *Auto-collected on 2026-06-10*

Tags

#nlp#language-models#causal-inference#formal-languages#evaluation#arxiv#learnability

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