Back to the reading lists

    Deep learning· 2021

    LoRA: Low-Rank Adaptation of Large Language Models

    Edward J. Hu (first author) · 2021

    Read the original

    arXiv 2106.09685OpenAlex W3168867926

    Adapt through thin matrices.

    On the reading lists

    Why it matters

    Made low-rank adaptation the dominant practical approach to parameter-efficient LLM fine-tuning.

    Condensed from the expert lists' notes.

    Inside the paper

    The problem
    Adapting a large pretrained language model separately for many tasks can require storing a full set of changed weights for each one. Full fine-tuning also makes all those weights part of the training workload.
    The idea
    LoRA leaves the pretrained weights fixed and represents a task-specific weight change as the product of small matrices. The resulting update has low rank and can be added to the original weight matrix.
    How it works
    • Select weight matrices in the pretrained transformer to adapt and retain their original values throughout training.
    • Introduce a pair of trainable matrices whose product has the same shape as each selected weight matrix but a much smaller intermediate dimension.
    • Initialize the adaptation so its initial contribution is zero, then train the new matrices on the downstream task.
    • For deployment, add the learned matrix product to the frozen weight, avoiding a separate added computation in the forward pass.
    What it showed
    Across the paper’s language-model experiments, LoRA performs competitively with full fine-tuning and other adaptation baselines while training fewer parameters. Its rank experiments also find that small ranks can work well on the tasks studied, though the authors do not claim this holds for every task.
    Read it for
    Start with Section 4 and Figure 1 for the construction, then read the comparison tables in Section 5. Section 7 examines rank and matrix choices; the longer baseline descriptions can be skimmed initially.

    Written in our own words from the paper itself. A draft the editors have not yet reviewed.

    Reading it

    Difficulty: Intermediate

    Read this first: the Transformer (Attention Is All You Need); linear algebra (matrix rank).

    The record

    First released
    2021 (from arXiv 2106.09685)
    Citations
    24,332 citations, as counted by Papers With Code (CC BY-SA 4.0)
    Named by
    both expert lists
    Also relevant to
    Language, speech & LLMs
    Score
    0.732 · computed rank 42 · consensus 0.94, must-read 1, citations percentile 1 (2020s · deep-learning), awards 0, existing lists 0. Method

    Editor's notes

    • Readability check: pass: Short, practical, and explains why low-rank updates work. (AI draft (Claude), not yet reviewed, 2026-10-29)

    Data sources

    Catalogue data from OpenAlex (CC0), Crossref (CC0 metadata; no abstracts are shown), arXiv, and Papers With Code (CC BY-SA 4.0). Each count names its source. See the method.