ResearchResearch paperLarge Language Models1 source · Oct 16, 2026

Out of Support, Not Out of Reach: In-Context Learning with Unsupported Instructions and Composed Tasks

In-Context Learning (ICL) enables pretrained LLMs to adapt to downstream tasks from a small set of input-output demonstrations, without parameter updates.

Key points

  • Yet existing theory primarily explains ICL as identifying a latent task already represented in pretraining, leaving unclear whether ICL can succeed when either the instruction or the target task falls outside the pretraining support.
  • For target tasks represented in pretraining, we show that demonstrations can identify the task and reduce sensitivity to pretrain-supported prompt templates as their number increases.
  • For an unsupported instruction, we show that under a fixed model-induced reference extension, demonstration evidence can dominate an $N$-independent instruction shift while preserving the exponential identification rate.
  • Applying the supported-task analysis step by step yields a standard accumulated-error bound and clarifies how invoking familiar subtasks along an intermediate-state trajectory can avoid directly selecting the unsupported complete task.

Sources (1)

  • [1]Out of Support, Not Out of Reach: In-Context Learning with Unsupported Instructions and Composed Tasks
    arXiv (AI, ML, NLP, CV, robotics, multi-agent) · Oct 16, 02:27 PM
    In-Context Learning (ICL) enables pretrained LLMs to adapt to downstream tasks from a small set of input-output demonstrations, without parameter updates.
    Yet existing theory primarily explains ICL as identifying a latent task already represented in pretraining, leaving unclear whether ICL can succeed when either the instruction or the target task falls outside the pretraining support.

Extractive summary: sentences quoted from the sources.

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