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We present a simple yet effective method to improve the robustness of both Convolutional and attention-based Neural Networks against adversarial examples by post-processing an adversarially trained model. Our technique, MeanSparse, cascades…

Computer Vision and Pattern Recognition · Computer Science 2025-10-10 Sajjad Amini , Mohammadreza Teymoorianfard , Shiqing Ma , Amir Houmansadr

The sparse transformer can reduce the computational complexity of the self-attention layers to $O(n)$, whilst still being a universal approximator of continuous sequence-to-sequence functions. However, this permutation variant operation is…

Machine Learning · Computer Science 2023-03-01 Shidi Li , Christian Walder , Alexander Soen , Lexing Xie , Miaomiao Liu

Balancing predictive power and interpretability has long been a challenging research area, particularly in powerful yet complex models like neural networks, where nonlinearity obstructs direct interpretation. This paper introduces a novel…

Machine Learning · Computer Science 2025-02-20 Antoine Ledent , Peng Liu

We present a comprehensive framework for structured sparse coding and modeling extending the recent ideas of using learnable fast regressors to approximate exact sparse codes. For this purpose, we develop a novel block-coordinate proximal…

Machine Learning · Computer Science 2012-06-22 Alex Bronstein , Pablo Sprechmann , Guillermo Sapiro

Transformers have become the backbone of modern AI, yet their high computational demands pose critical system challenges. While sparse training offers efficiency gains, existing methods fail to preserve critical structural relationships…

Machine Learning · Computer Science 2025-11-18 Jinqi Xiao , Cheng Luo , Lingyi Huang , Cheng Yang , Yang Sui , Huy Phan , Xiao Zang , Yibiao Ying , Zhexiang Tang , Anima Anandkumar , Bo Yuan

Pre-trained Transformers inherently possess the characteristic of sparse activation, where only a small fraction of the neurons are activated for each token. While sparse activation has been explored through post-training methods, its…

Computation and Language · Computer Science 2024-10-07 Zhengyan Zhang , Chaojun Xiao , Qiujieli Qin , Yankai Lin , Zhiyuan Zeng , Xu Han , Zhiyuan Liu , Ruobing Xie , Maosong Sun , Jie Zhou

Vision transformer has emerged as a new paradigm in computer vision, showing excellent performance while accompanied by expensive computational cost. Image token pruning is one of the main approaches for ViT compression, due to the facts…

Computer Vision and Pattern Recognition · Computer Science 2023-07-07 Xiangcheng Liu , Tianyi Wu , Guodong Guo

Sparse autoencoders (SAEs) are widely used in mechanistic interpretability to project LLM activations onto sparse latent spaces. However, sparsity alone is an imperfect proxy for interpretability, and current training objectives often…

Machine Learning · Computer Science 2026-04-09 Vivek Narayanaswamy , Kowshik Thopalli , Bhavya Kailkhura , Wesam Sakla

Sparse coding networks, which utilize unsupervised learning to maximize coding efficiency, have successfully reproduced response properties found in primary visual cortex \cite{AN:OlshausenField96}. However, conventional sparse coding…

Neurons and Cognition · Quantitative Biology 2011-05-25 William K. Coulter , Christopher J. Hillar , Friedrich T. Sommer

Transformers have demonstrated remarkable success across various applications. However, the success of transformers have not been understood in theory. In this work, we give a case study of how transformers can be trained to learn a classic…

Machine Learning · Statistics 2025-04-14 Chenyang Zhang , Xuran Meng , Yuan Cao

We propose a novel, efficient approach for distributed sparse learning in high-dimensions, where observations are randomly partitioned across machines. Computationally, at each round our method only requires the master machine to solve a…

Machine Learning · Statistics 2016-05-26 Jialei Wang , Mladen Kolar , Nathan Srebro , Tong Zhang

This paper investigates a new learning formulation called structured sparsity, which is a natural extension of the standard sparsity concept in statistical learning and compressive sensing. By allowing arbitrary structures on the feature…

Methodology · Statistics 2009-05-05 Junzhou Huang , Tong Zhang , Dimitris Metaxas

Transformers use the dense self-attention mechanism which gives a lot of flexibility for long-range connectivity. Over multiple layers of a deep transformer, the number of possible connectivity patterns increases exponentially. However,…

Machine Learning · Computer Science 2023-06-05 Md Shamim Hussain , Mohammed J. Zaki , Dharmashankar Subramanian

Many papers have shown that attention heads work in conjunction with each other to perform complex tasks. It's frequently assumed that communication between attention heads is via the addition of specific features to token residuals. In…

Machine Learning · Computer Science 2024-10-30 Gabriel Franco , Mark Crovella

Selective attention helps us focus on task-relevant aspects in the constant flood of our sensory input. This constraint in our perception allows us to robustly generalize under distractions and to new compositions of perceivable concepts.…

Computer Vision and Pattern Recognition · Computer Science 2024-09-17 Ankit Vani , Bac Nguyen , Samuel Lavoie , Ranjay Krishna , Aaron Courville

Data is said to follow the transform (or analysis) sparsity model if it becomes sparse when acted on by a linear operator called a sparsifying transform. Several algorithms have been designed to learn such a transform directly from data,…

Machine Learning · Statistics 2019-01-30 Luke Pfister , Yoram Bresler

We propose Low-Rank Sparse Attention (Lorsa), a sparse replacement model of Transformer attention layers to disentangle original Multi Head Self Attention (MHSA) into individually comprehensible components. Lorsa is designed to address the…

Machine Learning · Computer Science 2025-04-30 Zhengfu He , Junxuan Wang , Rui Lin , Xuyang Ge , Wentao Shu , Qiong Tang , Junping Zhang , Xipeng Qiu

Large reasoning models achieve strong performance through test-time scaling, but this incurs substantial computational overhead due to long decoding from short prompts. While sparse attention can reduce latency and memory usage, existing…

Computation and Language · Computer Science 2026-04-29 Lijie Yang , Zhihao Zhang , Arti Jain , Shijie Cao , Baihong Yuan , Yiwei Chen , Zhihao Jia , Ravi Netravali

The quadratic complexity of attention mechanisms poses a critical bottleneck for large language models processing long contexts. While dynamic sparse attention methods offer input-adaptive efficiency, they face fundamental trade-offs:…

Computation and Language · Computer Science 2026-02-06 Siran Liu , Guoxia Wang , Sa Wang , Jinle Zeng , HaoYang Xie , Siyu Lou , JiaBin Yang , DianHai Yu , Haifeng Wang , Chao Yang

Diffusion transformers have achieved remarkable success in high-quality video generation, yet their reliance on spatiotemporal 3D full attention incurs prohibitive computational cost due to the quadratic complexity of attention. Block…

Computer Vision and Pattern Recognition · Computer Science 2026-05-25 Jie Hu , Zixiang Gao , Yutong He , Kun Yuan