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In this paper, we analyze the computational limitations of Mamba and State-space Models (SSMs) by using the circuit complexity framework. Despite Mamba's stateful design and recent attention as a strong candidate to outperform Transformers,…

Computational Complexity · Computer Science 2025-02-21 Yifang Chen , Xiaoyu Li , Yingyu Liang , Zhenmei Shi , Zhao Song

Probabilistic time series imputation has been widely applied in real-world scenarios due to its ability for uncertainty estimation and denoising diffusion probabilistic models~(DDPMs) have achieved great success in probabilistic time series…

Machine Learning · Computer Science 2025-08-20 Hongfan Gao , Wangmeng Shen , Xiangfei Qiu , Ronghui Xu , Jilin Hu , Bin Yang

This paper investigates joint channel estimation and positioning in near-field sparse extra-large multiple-input multiple-output (XL-MIMO) orthogonal frequency division multiplexing (OFDM) systems. To achieve cooperative gains between…

Signal Processing · Electrical Eng. & Systems 2025-07-29 Zhongnian Li , Chao Zheng , Jian Xiao , Ji Wang , Gongpu Wang , Ming Zeng , Octavia A. Dobre

Time series foundation models have demonstrated strong performance in zero-shot learning, making them well-suited for predicting rapidly evolving patterns in real-world applications where relevant training data are scarce. However, most of…

Machine Learning · Computer Science 2024-11-06 Haoyu Ma , Yushu Chen , Wenlai Zhao , Jinzhe Yang , Yingsheng Ji , Xinghua Xu , Xiaozhu Liu , Hao Jing , Shengzhuo Liu , Guangwen Yang

State-space models (SSMs) have recently emerged as a compelling alternative to Transformers for sequence modeling tasks. This paper presents a theoretical generalization analysis of selective SSMs, the core architectural component behind…

Machine Learning · Computer Science 2025-11-05 Arya Honarpisheh , Mustafa Bozdag , Octavia Camps , Mario Sznaier

In recent years, there has been a growing interest in integrating linear state-space models (SSM) in deep neural network architectures of foundation models. This is exemplified by the recent success of Mamba, showing better performance than…

Systems and Control · Electrical Eng. & Systems 2024-03-26 Carmen Amo Alonso , Jerome Sieber , Melanie N. Zeilinger

Recent advancements in transformers, specifically self-attention mechanisms, have significantly improved hyperspectral image (HSI) classification. However, these models often suffer from inefficiencies, as their computational complexity…

In the field of multi-source remote sensing image classification, remarkable progress has been made by using Convolutional Neural Network (CNN) and Transformer. Recently, Mamba-based methods built upon the State Space Model (SSM) have shown…

Image and Video Processing · Electrical Eng. & Systems 2025-01-28 Feng Gao , Xuepeng Jin , Xiaowei Zhou , Junyu Dong , Qian Du

State space models (SSMs) have emerged as an efficient alternative to transformer-based models, offering linear complexity that scales better than transformers. One of the latest advances in SSMs, Mamba, introduces a selective scan…

Machine Learning · Computer Science 2025-03-03 Junpeng Wang , Chin-Chia Michael Yeh , Uday Singh Saini , Mahashweta Das

Recently, state space models have exhibited strong global modeling capabilities and linear computational complexity in contrast to transformers. This research focuses on applying such architecture to more efficiently and effectively model…

Computer Vision and Pattern Recognition · Computer Science 2024-10-14 Tao Zhang , Haobo Yuan , Lu Qi , Jiangning Zhang , Qianyu Zhou , Shunping Ji , Shuicheng Yan , Xiangtai Li

Efficiently modeling large 2D contexts is essential for various fields including Giga-Pixel Whole Slide Imaging (WSI) and remote sensing. Transformer-based models offer high parallelism but face challenges due to their quadratic complexity…

Computer Vision and Pattern Recognition · Computer Science 2026-02-02 Jingwei Zhang , Anh Tien Nguyen , Xi Han , Vincent Quoc-Huy Trinh , Hong Qin , Dimitris Samaras , Mahdi S. Hosseini

Selective state-space models (SSMs) like Mamba overcome some of the shortcomings of Transformers, such as quadratic computational complexity with sequence length and large inference-time memory requirements from the key-value cache.…

State Space Models (SSM), such as Mamba, have shown strong representation ability in modeling long-range dependency with linear complexity, achieving successful applications from high-level to low-level vision tasks. However, SSM's…

Computer Vision and Pattern Recognition · Computer Science 2024-10-15 Junbo Qiao , Jincheng Liao , Wei Li , Yulun Zhang , Yong Guo , Yi Wen , Zhangxizi Qiu , Jiao Xie , Jie Hu , Shaohui Lin

Modern multivariate time series forecasting primarily relies on two architectures: the Transformer with attention mechanism and Mamba. In natural language processing, an approach has been used that combines local window attention for…

Machine Learning · Computer Science 2025-09-26 Itay Katav , Aryeh Kontorovich

Time series forecasting requires balancing short-term and long-term dependencies for accurate predictions. Existing methods mainly focus on long-term dependency modeling, neglecting the complexities of short-term dynamics, which may hinder…

Machine Learning · Computer Science 2024-08-29 Sijia Peng , Yun Xiong , Yangyong Zhu , Zhiqiang Shen

Remote sensing image fusion aims to generate a high-resolution multi/hyper-spectral image by combining a high-resolution image with limited spectral data and a low-resolution image rich in spectral information. Current deep learning (DL)…

Computer Vision and Pattern Recognition · Computer Science 2024-11-19 Siran Peng , Xiangyu Zhu , Haoyu Deng , Liang-Jian Deng , Zhen Lei

A key claim in recent work on Selective State Space Models is that selectivity, the ability to focus on relevant information while filtering irrelevant inputs, requires breaking the Linear Time-Invariant (LTI) property through time-varying…

Systems and Control · Electrical Eng. & Systems 2026-03-13 Umberto Casti , Giacomo Baggio , Sandro Zampieri , Fabio Pasqualetti

Long-range time series forecasting remains challenging, as it requires capturing non-stationary and multi-scale temporal dependencies while maintaining noise robustness, efficiency, and stability. Transformer-based architectures such as…

Machine Learning · Computer Science 2025-09-03 Stefan-Alexandru Jura , Mihai Udrescu , Alexandru Topirceanu

Balancing fine-grained local modeling with long-range dependency capture under computational constraints remains a central challenge in sequence modeling. While Transformers provide strong token mixing, they suffer from quadratic…

Machine Learning · Computer Science 2026-03-20 Youjin Wang , Jiaqiao Zhao , Rong Fu , Run Zhou , Ruizhe Zhang , Jiani Liang , Suisuai Cao , Feng Zhou

Multi-modal medical image synthesis involves nonlinear transformation of tissue signals between source and target modalities, where tissues exhibit contextual interactions across diverse spatial distances. As such, the utility of a network…

Image and Video Processing · Electrical Eng. & Systems 2025-10-21 Omer F. Atli , Bilal Kabas , Fuat Arslan , Arda C. Demirtas , Mahmut Yurt , Onat Dalmaz , Tolga Çukur
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