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Deep neural networks often suffer from poor generalization due to complex and non-convex loss landscapes. Sharpness-Aware Minimization (SAM) is a popular solution that smooths the loss landscape by minimizing the maximized change of…

Artificial Intelligence · Computer Science 2023-07-03 Peng Mi , Li Shen , Tianhe Ren , Yiyi Zhou , Tianshuo Xu , Xiaoshuai Sun , Tongliang Liu , Rongrong Ji , Dacheng Tao

In this paper, we address the challenge of determining the layer-wise sparsity rates of large language models (LLMs) through a theoretical perspective. Specifically, we identify a critical issue of ''$\textbf{reconstruction error…

Machine Learning · Computer Science 2025-02-21 Weizhong Huang , Yuxin Zhang , Xiawu Zheng , Fei Chao , Rongrong Ji

Large Language Models (LLMs) have achieved remarkable success with their billion-level parameters, yet they incur high inference overheads. The emergence of activation sparsity in LLMs provides a natural approach to reduce this cost by…

Computation and Language · Computer Science 2024-12-13 Haizhong Zheng , Xiaoyan Bai , Xueshen Liu , Z. Morley Mao , Beidi Chen , Fan Lai , Atul Prakash

The power of sparse signal coding with learned dictionaries has been demonstrated in a variety of applications and fields, from signal processing to statistical inference and machine learning. However, the statistical properties of these…

Information Theory · Computer Science 2010-10-25 Ignacio Ramírez , Guillermo Sapiro

Activation sparsity denotes the existence of substantial weakly-contributed elements within activation outputs that can be eliminated, benefiting many important applications concerned with large language models (LLMs). Although promoting…

Machine Learning · Computer Science 2025-07-01 Yuqi Luo , Chenyang Song , Xu Han , Yingfa Chen , Chaojun Xiao , Xiaojun Meng , Liqun Deng , Jiansheng Wei , Zhiyuan Liu , Maosong Sun

Large Language Models (LLMs) are distinguished by their massive parameter counts, which typically result in significant redundancy. This work introduces MaskLLM, a learnable pruning method that establishes Semi-structured (or ``N:M'')…

Artificial Intelligence · Computer Science 2024-12-10 Gongfan Fang , Hongxu Yin , Saurav Muralidharan , Greg Heinrich , Jeff Pool , Jan Kautz , Pavlo Molchanov , Xinchao Wang

Large language models exhibit strong multilingual capabilities despite limited exposure to non-English data. Prior studies show that English-centric large language models map multilingual content into English-aligned representations at…

Computation and Language · Computer Science 2026-01-30 Chengzhi Zhong , Fei Cheng , Qianying Liu , Yugo Murawaki , Chenhui Chu , Sadao Kurohashi

Deep neural networks often suffer from poor generalization caused by complex and non-convex loss landscapes. One of the popular solutions is Sharpness-Aware Minimization (SAM), which smooths the loss landscape via minimizing the maximized…

Machine Learning · Computer Science 2022-10-25 Peng Mi , Li Shen , Tianhe Ren , Yiyi Zhou , Xiaoshuai Sun , Rongrong Ji , Dacheng Tao

Large Language Models (LLMs) perform internal computations in continuous vector spaces yet produce discrete tokens -- a fundamental mismatch whose geometric consequences remain poorly understood. We develop a mathematical framework that…

Machine Learning · Computer Science 2026-03-25 Mohamed A. Mabrok

Sparse autoencoders (SAEs) are a popular tool for interpreting large language model activations, but their utility in addressing open questions in interpretability remains unclear. In this work, we demonstrate their effectiveness by using…

Machine Learning · Computer Science 2025-04-21 Dmitrii Kharlapenko , Stepan Shabalin , Fazl Barez , Arthur Conmy , Neel Nanda

Understanding the latent space geometry of large language models (LLMs) is key to interpreting their behavior and improving alignment. Yet it remains unclear to what extent LLMs linearly organize representations related to semantic…

Computation and Language · Computer Science 2026-01-22 Baturay Saglam , Paul Kassianik , Blaine Nelson , Sajana Weerawardhena , Yaron Singer , Amin Karbasi

Semantic segmentation networks (SSNs) are central to safety-critical applications such as medical imaging and autonomous driving, where robustness under uncertainty is essential. However, existing probabilistic verification methods often…

Computer Vision and Pattern Recognition · Computer Science 2025-11-18 Navid Hashemi , Samuel Sasaki , Diego Manzanas Lopez , Lars Lindemann , Ipek Oguz , Meiyi Ma , Taylor T. Johnson

Cross-modal metric learning is a prominent research topic that bridges the semantic heterogeneity between vision and language. Existing methods frequently utilize simple cosine or complex distance metrics to transform the pairwise features…

Computer Vision and Pattern Recognition · Computer Science 2024-10-22 Haiwen Diao , Ying Zhang , Shang Gao , Jiawen Zhu , Long Chen , Huchuan Lu

In this paper, we propose a novel information theoretic framework for dictionary learning (DL) and sparse coding (SC) on a statistical manifold (the manifold of probability distributions). Unlike the traditional DL and SC framework, our new…

Computer Vision and Pattern Recognition · Computer Science 2018-05-08 Rudrasis Chakraborty , Monami Banerjee , Baba C. Vemuri

Sparse autoencoders (SAEs) operationalise the linear representation hypothesis: they reconstruct model activations as sparse linear combinations of interpretable dictionary atoms, on the implicit assumption that activation space is well…

Machine Learning · Computer Science 2026-05-12 Eslam Zaher , Maciej Trzaskowski , Quan Nguyen , Fred Roosta

Deterministically controlling the target generation language of large multilingual language models (LLMs) remains a fundamental challenge, particularly in zero-shot settings where neither explicit language prompts nor fine-tuning are…

Computation and Language · Computer Science 2025-10-17 Cheng-Ting Chou , George Liu , Jessica Sun , Cole Blondin , Kevin Zhu , Vasu Sharma , Sean O'Brien

Large Language Models (LLMs) are difficult to fully fine-tune (e.g., with instructions or human feedback) due to their sheer number of parameters. A family of parameter-efficient sparse fine-tuning methods have proven promising in terms of…

Computation and Language · Computer Science 2024-02-05 Alan Ansell , Ivan Vulić , Hannah Sterz , Anna Korhonen , Edoardo M. Ponti

Safety alignment of Large Language Models (LLMs) is extremely fragile, as fine-tuning on a small number of benign samples can erase safety behaviors learned from millions of preference examples. Existing studies attempt to explain this…

Artificial Intelligence · Computer Science 2026-05-07 Xiao Wang , Yifei Zhang , YongKang Liu , Xiaocui Yang , Zihan Wang , Shi Feng , Daling Wang

Asymptotic lower bounds for estimation play a fundamental role in assessing the quality of statistical procedures. In this paper we propose a framework for obtaining semi-parametric efficiency bounds for sparse high-dimensional models,…

Statistics Theory · Mathematics 2017-10-16 Jana Jankova , Sara van de Geer

Deploying large language models (LLMs) on end-user devices is gaining importance due to benefits in responsiveness, privacy, and operational cost. Yet the limited memory and compute capability of mobile and desktop GPUs make efficient…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-11-07 Rongxiang Wang , Kangyuan Shu , Felix Xiaozhu Lin