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In this paper, we investigate the long-term memory learning capabilities of state-space models (SSMs) from the perspective of parameterization. We prove that state-space models without any reparameterization exhibit a memory limitation…

Machine Learning · Computer Science 2024-06-06 Shida Wang , Qianxiao Li

Pixel dependency modeling from tampered images is pivotal for image forgery localization. Current approaches predominantly rely on Convolutional Neural Networks (CNNs) or Transformer-based models, which often either lack sufficient…

Computer Vision and Pattern Recognition · Computer Science 2025-02-17 Zijie Lou , Gang Cao , Kun Guo , Shaowei Weng , Lifang Yu

Inter-frame modeling is pivotal in generating intermediate frames for video frame interpolation (VFI). Current approaches predominantly rely on convolution or attention-based models, which often either lack sufficient receptive fields or…

Computer Vision and Pattern Recognition · Computer Science 2024-10-11 Guozhen Zhang , Chunxu Liu , Yutao Cui , Xiaotong Zhao , Kai Ma , Limin Wang

State-space models (SSMs) have emerged as an efficient strategy for building powerful language models, avoiding the quadratic complexity of computing attention in transformers. Despite their promise, the interpretability and steerability of…

Machine Learning · Computer Science 2026-05-22 Vamshi Sunku Mohan , Kaustubh Gupta , Aneesha Das , Chandan Singh

Image restoration is a critical task in low-level computer vision, aiming to restore high-quality images from degraded inputs. Various models, such as convolutional neural networks (CNNs), generative adversarial networks (GANs),…

Computer Vision and Pattern Recognition · Computer Science 2024-03-19 Yuan Shi , Bin Xia , Xiaoyu Jin , Xing Wang , Tianyu Zhao , Xin Xia , Xuefeng Xiao , Wenming Yang

State Space Models (SSM) is a MATLAB 7.0 software toolbox for doing time series analysis by state space methods. The software features fully interactive construction and combination of models, with support for univariate and multivariate…

Computation · Statistics 2007-06-26 Jyh-Ying Peng , John A. D. Aston

In recent years, State Space Models (SSMs) with efficient hardware-aware designs, known as the Mamba deep learning models, have made significant progress in modeling long sequences such as language understanding. Therefore, building…

Computer Vision and Pattern Recognition · Computer Science 2025-09-26 Juntao Zhang , Shaogeng Liu , Jun Zhou , Kun Bian , You Zhou , Jianning Liu , Pei Zhang , Bingyan Liu

Arbitrary scale super-resolution (ASSR) aims to super-resolve low-resolution images to high-resolution images at any scale using a single model, addressing the limitations of traditional super-resolution methods that are restricted to…

Computer Vision and Pattern Recognition · Computer Science 2024-11-20 Peizhe Xia , Long Peng , Xin Di , Renjing Pei , Yang Wang , Yang Cao , Zheng-Jun Zha

Solving large-scale optimization problems is a bottleneck and is very important for machine learning and multiple kinds of scientific problems. Subspace-based methods using the local approximation strategy are one of the most important…

Optimization and Control · Mathematics 2025-09-11 Yitong He , Pengcheng Xie

This work introduces a novel approach to fMRI-based visual image reconstruction using a subject-agnostic common representation space. We show that the brain signals of the subjects can be aligned in this common space during training to form…

Image and Video Processing · Electrical Eng. & Systems 2025-10-10 Christos Zangos , Danish Ebadulla , Thomas Christopher Sprague , Ambuj Singh

Structured state-space models (SSMs) have recently emerged as a powerful architecture at the intersection of machine learning and control, featuring layers composed of discrete-time linear time-invariant (LTI) systems followed by pointwise…

Systems and Control · Electrical Eng. & Systems 2026-04-30 Leonardo Massai , Muhammad Zakwan , Giancarlo Ferrari-Trecate

One of the main issues in Imitation Learning is the erroneous behavior of an agent when facing out-of-distribution situations, not covered by the set of demonstrations given by the expert. In this work, we tackle this problem by introducing…

Robotics · Computer Science 2020-11-20 Norman Di Palo , Edward Johns

Simulation-based inference (SBI) enables parameter inference by training neural networks on forward simulations. It is being applied both for intractable likelihoods as well as under time constraints on the posterior sampling. After…

Cosmology and Nongalactic Astrophysics · Physics 2026-05-12 Leander Thiele

Recent advancements in foundation models for tabular data, such as TabPFN, demonstrated that pretrained Transformer architectures can approximate Bayesian inference with high predictive performance. However, Transformers suffer from…

Machine Learning · Computer Science 2025-12-12 Felix Koch , Marcel Wever , Fabian Raisch , Benjamin Tischler

We prove that Moore machines can be exactly realized as state-space models (SSMs), establishing a formal correspondence between symbolic automata and these continuous machine learning architectures. These Moore-SSMs preserve both the…

Machine Learning · Computer Science 2026-03-09 William Fishell , Sam Nicholas Kouteili , Mark Santolucito

In the fields of computer vision (CV) and remote sensing (RS), foundational models typically follow the "big data + large model parameters" paradigm. However, the application of this strategy in seismic data processing faces several…

Geophysics · Physics 2025-03-14 Xintong Dong , Wenshuo Yu , Jun Lin , Zhenbo Guo , Hongzhou Wang , Jianhao Yang

Selective state space models (SSMs), such as Mamba, highly excel at capturing long-range dependencies in 1D sequential data, while their applications to 2D vision tasks still face challenges. Current visual SSMs often convert images into 1D…

Computer Vision and Pattern Recognition · Computer Science 2025-02-27 Chaodong Xiao , Minghan Li , Zhengqiang Zhang , Deyu Meng , Lei Zhang

Statistical shape modeling (SSM) characterizes anatomical variations in a population of shapes generated from medical images. SSM requires consistent shape representation across samples in shape cohort. Establishing this representation…

Computer Vision and Pattern Recognition · Computer Science 2022-03-17 Riddhish Bhalodia , Shireen Elhabian , Jadie Adams , Wenzheng Tao , Ladislav Kavan , Ross Whitaker

Recently, the Mamba architecture based on State Space Models (SSMs) has gained attention in 3D human pose estimation due to its linear complexity and strong global modeling capability. However, existing SSM-based methods typically apply…

Computer Vision and Pattern Recognition · Computer Science 2025-11-13 Hu Cui , Wenqiang Hua , Renjing Huang , Shurui Jia , Tessai Hayama

State space models (SSMs), particularly Mamba, have shown promise in NLP tasks and are increasingly applied to vision tasks. However, most Mamba-based vision models focus on network architecture and scan paths, with little attention to the…

Computer Vision and Pattern Recognition · Computer Science 2025-10-20 Yujie Zhu , Xinyi Zhang , Yekai Lu , Guang Yang , Faming Fang , Guixu Zhang
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