Large language models (LLMs) have achieved remarkable success in natural language processing tasks, but their high computational and memory demands pose challenges for deployment on resource-constrained devices. Binarization, as an efficient compression method that reduces model weights to just 1 bit, significantly lowers both computational and memory requirements. Despite this, the binarized LLM still contains redundancy, which can be further compressed. Semi-structured pruning provides a promising approach to achieve this, which offers a better trade-off between model performance and hardware efficiency. However, simply combining binarization with semi-structured pruning can lead to a significant performance drop. To address this issue, we propose a Progressive Binarization with Semi-Structured Pruning (PBS$^2$P) method for LLM compression. We first propose a Stepwise semi-structured Pruning with Binarization Optimization (SPBO). Our optimization strategy significantly reduces the total error caused by pruning and binarization, even below that of the no-pruning scenario. Furthermore, we design a Coarse-to-Fine Search (CFS) method to select pruning elements more effectively. Extensive experiments demonstrate that PBS$^2$P achieves superior accuracy across various LLM families and evaluation metrics, noticeably outperforming state-of-the-art (SOTA) binary PTQ methods. The code and models will be available at https://github.com/XIANGLONGYAN/PBS2P.

In this paper, we present STBLLM, the first structural binarization framework for compressing Large Language Models (LLMs) to less than 1-bit precision. LLMs have achieved remarkable performance, but their heavy memory requirements have hindered widespread adoption, particularly on resource-constrained devices. Binarization, which quantifies weights to a mere 1-bit, achieves a milestone in increasing computational efficiency. However, we observe that some weights in binarized LLMs can be randomly flipped without significant performance degradation, indicating the potential for further compression. To exploit this, our STBLLM employs an N:M sparsity to perform structural binarization of the weights. First, we introduce a new Standardized Importance (SI) metric that considers weight magnitude and input feature norm to better evaluate weight significance. Then, we propose a layer-wise approach where different layers of the LLM can be sparsified with varying N:M ratios, balancing compression and accuracy. Finally, we use residual approximation with double binarization to preserve information for salient weights. In addition, we utilize a fine-grained grouping strategy for less important weights that applies different quantization schemes to sparse, intermediate, and dense regions. We conduct extensive experiments on various language models, including the LLaMA-1/2/3, OPT family, and Mistral, to evaluate the effectiveness of STBLLM. The results demonstrate that our approach performs better than other compressed binarization LLM methods while significantly reducing memory requirements.