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# Large Language Model Compression

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  1. arXiv

    DictLLM shrinks a 7B model 5.1× with shared dictionaries and sparse coefficients, adding 2.9 points of perplexity

    On mobile devices the binding constraint for large language models is weight memory, not computation. DictLLM splits weight matrices within grouped layers into one shared dictionary plus layer-specific sparse coefficients, all computed from a pretrained model without retraining. On LLaMA-7B it compresses the model 5.1× with only a 2.9-point rise in WikiText-2 perplexity, a compression ratio about 3.6× that of the state-of-the-art low-rank method.

  2. arXiv

    D-SLR matches or beats truncated SVD at three SVDs and cuts prediction changes on LLM embedding tables by about tenfold

    The authors propose the Disjoint Row-Sparse plus Low-Rank (D-SLR) decomposition, in which each row is either stored verbatim or fitted by a shared low-rank basis but never both; under squared error this restriction is lossless, the algorithm scores every rank and stored-row count in closed form at about three SVDs, and it provides an assumption-free a-posteriori lower-bound certificate; on synthetic matrices and LLM embedding tables D-SLR is never worse than the truncated SVD at equal cost and, at half the table's parameters, changed about ten times fewer model predictions.

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