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The stochastic motion in a nonhomogeneous medium with traps is studied and diffusion properties of that system are discussed. The particle is subjected to a stochastic stimulation obeying a general L\'evy stable statistics and experiences…

Statistical Mechanics · Physics 2015-06-11 Tomasz Srokowski

Recent advancements in sequence modeling have led to the development of the Mamba architecture, noted for its selective state space approach, offering a promising avenue for efficient long sequence handling. However, its application in 3D…

Computer Vision and Pattern Recognition · Computer Science 2024-06-10 Shentong Mo

This paper explores the utility of diffusion-based models for anomaly detection, focusing on their efficacy in identifying deviations in both compact and high-resolution datasets. Diffusion-based architectures, including Denoising Diffusion…

Machine Learning · Computer Science 2024-12-11 Aryan Bhosale , Samrat Mukherjee , Biplab Banerjee , Fabio Cuzzolin

Anomalous diffusion, which shows a deviation of transport dynamics from the framework of standard Brownian motion, is involved in the evolution of various physical, chemical, biological, and economic systems. The study of such random…

Machine Learning · Computer Science 2021-09-21 Dezhong Li , Qiujin Yao , Zihan Huang

Mamba extends earlier state space models (SSMs) by introducing input-dependent dynamics, and has demonstrated strong empirical performance across a range of domains, including language modeling, computer vision, and foundation models.…

Machine Learning · Computer Science 2025-05-15 Annan Yu , N. Benjamin Erichson

Recently, a novel visual state space (VSS) model, referred to as Mamba, has demonstrated significant progress in modeling long sequences with linear complexity, comparable to Transformer models, thereby enhancing its adaptability for…

Computer Vision and Pattern Recognition · Computer Science 2025-07-23 Tao Wang , Tiecheng Bai , Chao Xu , Bin Liu , Erlei Zhang , Jiyun Huang , Hongming Zhang

We present PlainMamba: a simple non-hierarchical state space model (SSM) designed for general visual recognition. The recent Mamba model has shown how SSMs can be highly competitive with other architectures on sequential data and initial…

Computer Vision and Pattern Recognition · Computer Science 2024-08-16 Chenhongyi Yang , Zehui Chen , Miguel Espinosa , Linus Ericsson , Zhenyu Wang , Jiaming Liu , Elliot J. Crowley

Current end-to-end multi-modal models utilize different encoders and decoders to process input and output information. This separation hinders the joint representation learning of various modalities. To unify multi-modal processing, we…

Computer Vision and Pattern Recognition · Computer Science 2025-10-20 Chunhao Lu , Qiang Lu , Meichen Dong , Jake Luo

Time series data plays a pivotal role in a wide variety of fields but faces challenges related to privacy concerns. Recently, synthesizing data via diffusion models is viewed as a promising solution. However, existing methods still struggle…

Machine Learning · Computer Science 2025-11-25 Zihao Yao , Jiankai Zuo , Yaying Zhang

Accurate chemical kinetics modeling is essential for combustion simulations, as it governs the evolution of complex reaction pathways and thermochemical states. In this work, we introduce Kinetic-Mamba, a Mamba-based neural operator…

Machine Learning · Computer Science 2026-04-07 Additi Pandey , Liang Wei , Hessam Babaee , George Em Karniadakis

Current automatic speech recognition systems struggle with modeling long speech sequences due to high quadratic complexity of Transformer-based models. Selective state space models such as Mamba has performed well on long-sequence modeling…

Audio and Speech Processing · Electrical Eng. & Systems 2024-09-30 Xiaoxue Gao , Nancy F. Chen

Accurate detection of cardiac abnormalities from electrocardiogram recordings is regarded as essential for clinical diagnostics and decision support. Traditional deep learning models such as residual networks and transformer architectures…

Computer Vision and Pattern Recognition · Computer Science 2026-03-27 Huawei Jiang , Husna Mutahira , Gan Huang , Mannan Saeed Muhammad

Diffusion models have been widely employed in the field of 3D manipulation due to their efficient capability to learn distributions, allowing for precise prediction of action trajectories. However, diffusion models typically rely on large…

Prior efforts in light-weight model development mainly centered on CNN and Transformer-based designs yet faced persistent challenges. CNNs adept at local feature extraction compromise resolution while Transformers offer global reach but…

Computer Vision and Pattern Recognition · Computer Science 2024-03-18 Xiaohuan Pei , Tao Huang , Chang Xu

In the domain of 3D biomedical image segmentation, Mamba exhibits the superior performance for it addresses the limitations in modeling long-range dependencies inherent to CNNs and mitigates the abundant computational overhead associated…

Computer Vision and Pattern Recognition · Computer Science 2025-09-19 Weitong Wu , Zhaohu Xing , Jing Gong , Qin Peng , Lei Zhu

Sequence models like Transformers and RNNs often overallocate attention to irrelevant context, leading to noisy intermediate representations. This degrades LLM capabilities by promoting hallucinations, weakening long-range and retrieval…

Machine Learning · Computer Science 2025-10-30 Nadav Schneider , Itamar Zimerman , Eliya Nachmani

Single-particle traces of the diffusive motion of molecules, cells, or animals are by-now routinely measured, similar to stochastic records of stock prices or weather data. Deciphering the stochastic mechanism behind the recorded dynamics…

Statistical Mechanics · Physics 2023-09-14 Henrik Seckler , Janusz Szwabinski , Ralf Metzler

Human trajectory forecasting is crucial for safe navigation in crowded environments, requiring models that balance accuracy with computational efficiency. Efficiently modeling social interactions is key to performance in dense crowds. Yet,…

Computer Vision and Pattern Recognition · Computer Science 2026-05-18 Po-Chien Luan , Wuyang Li , Yang Gao , Alexandre Alahi

In data-scarce scenarios, deep learning models often overfit to noise and irrelevant patterns, which limits their ability to generalize to unseen samples. To address these challenges in medical image segmentation, we introduce Diff-UMamba,…

Computer Vision and Pattern Recognition · Computer Science 2026-04-06 Dhruv Jain , Romain Modzelewski , Romain Herault , Clement Chatelain , Eva Torfeh , Sebastien Thureau

Dynamic graphs exhibit intertwined spatio-temporal evolutionary patterns, widely existing in the real world. Nevertheless, the structure incompleteness, noise, and redundancy result in poor robustness for Dynamic Graph Neural Networks…

Machine Learning · Computer Science 2024-12-20 Haonan Yuan , Qingyun Sun , Zhaonan Wang , Xingcheng Fu , Cheng Ji , Yongjian Wang , Bo Jin , Jianxin Li