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In the nonlinear prediction of scalar time series, the common practice is to reconstruct the state space using time-delay embedding and apply a local model on neighborhoods of the reconstructed space. The method of false nearest neighbors…

Chaotic Dynamics · Physics 2008-09-15 I. Vlachos , D. Kugiumtzis

Accurate fMRI analysis requires sensitivity to temporal structure across multiple scales, as BOLD signals encode cognitive processes that emerge from fast transient dynamics to slower, large-scale fluctuations. Existing deep learning (DL)…

Signal Processing · Electrical Eng. & Systems 2026-01-06 Furkan Genç , Boran İsmet Macun , Sait Sarper Özaslan , Emine U. Saritas , Tolga Çukur

Magnetic Resonance Imaging (MRI) is one of the most important medical imaging modalities as it provides superior resolution of soft tissues, albeit with a notable limitation in scanning speed. The advent of deep learning has catalyzed the…

Image and Video Processing · Electrical Eng. & Systems 2024-09-20 Yilmaz Korkmaz , Vishal M. Patel

We introduce a foundational model for brain dynamics that utilizes stochastic optimal control (SOC) and amortized inference. Our method features a continuous-discrete state space model (SSM) that can robustly handle the intricate and noisy…

Machine Learning · Computer Science 2025-02-10 Joonhyeong Park , Byoungwoo Park , Chang-Bae Bang , Jungwon Choi , Hyungjin Chung , Byung-Hoon Kim , Juho Lee

The development of foundation models for functional magnetic resonance imaging (fMRI) time series holds significant promise for predicting phenotypes related to disease and cognition. Current models, however, are often trained using a…

Machine Learning · Computer Science 2026-03-03 Sam Gijsen , Marc-Andre Schulz , Kerstin Ritter

State space models (SSM) have been widely applied for the analysis and visualization of large sequential datasets. Sequential Monte Carlo (SMC) is a very popular particle-based method to sample latent states from intractable posteriors.…

Machine Learning · Computer Science 2019-01-07 Duo Xu

As the popularity of deep learning (DL) in the field of magnetic resonance imaging (MRI) continues to rise, recent research has indicated that DL-based MRI reconstruction models might be excessively sensitive to minor input disturbances,…

Image and Video Processing · Electrical Eng. & Systems 2025-10-07 Shijun Liang , Van Hoang Minh Nguyen , Jinghan Jia , Ismail Alkhouri , Sijia Liu , Saiprasad Ravishankar

Dynamical systems in engineering and physics are often subject to irregular excitations that are best modeled as random. Monte Carlo simulations are routinely performed on such random models to obtain statistics on their long-term response.…

Dynamical Systems · Mathematics 2024-07-08 Zhenwei Xu , Roshan S. Kaundinya , Shobhit Jain , George Haller

Accelerated MRI reconstruction requires recovering missing details while preserving anatomically coherent structures across large spatial regions. State-space models such as Mamba provide efficient long-range modeling, making them…

Computer Vision and Pattern Recognition · Computer Science 2026-05-22 Pengcheng Fang , Hongli Chen , Fangfang Tang , Feng Liu , Xiaohao Cai , Shanshan Shan

Data-driven inference of the generative dynamics underlying a set of observed time series is of growing interest in machine learning and the natural sciences. In neuroscience, such methods promise to alleviate the need to handcraft models…

Machine Learning · Computer Science 2024-11-06 Eric Volkmann , Alena Brändle , Daniel Durstewitz , Georgia Koppe

Visual Model-Based Reinforcement Learning (MBRL) promises to encapsulate agent's knowledge about the underlying dynamics of the environment, enabling learning a world model as a useful planner. However, top MBRL agents such as Dreamer often…

Machine Learning · Computer Science 2024-05-31 Ruixiang Sun , Hongyu Zang , Xin Li , Riashat Islam

Fine-grained spatio-temporal learning is crucial for freehand 3D ultrasound reconstruction. Previous works mainly resorted to the coarse-grained spatial features and the separated temporal dependency learning and struggles for fine-grained…

Computer Vision and Pattern Recognition · Computer Science 2024-07-08 Zhongnuo Yan , Xin Yang , Mingyuan Luo , Jiongquan Chen , Rusi Chen , Lian Liu , Dong Ni

Capturing dynamic spatiotemporal neural activity is essential for understanding large-scale brain mechanisms. Functional magnetic resonance imaging (fMRI) provides high-resolution cortical representations that form a strong basis for…

Image and Video Processing · Electrical Eng. & Systems 2026-04-01 Wanying Qu , Jianxiong Gao , Wei Wang , Yanwei Fu

In this work, we propose a novel straightforward method for medical volume and sequence segmentation with limited annotations. To avert laborious annotating, the recent success of self-supervised learning(SSL) motivates the pre-training on…

Computer Vision and Pattern Recognition · Computer Science 2023-10-04 Zejian Chen , Wei Zhuo , Tianfu Wang , Wufeng Xue , Dong Ni

Latent state space systems are ubiquitous in statistical modelling, arising naturally when a time series is observed through a noisy measurement function, however training deep state space models (DSSM) at scale remains difficult. Two…

Machine Learning · Computer Science 2026-05-21 John-Joseph Brady , Nikolas Nusken , Yunpeng Li

In this paper, we propose a robust subspace-constrained quadratic model (SCQM) for learning low-dimensional structure from high-dimensional data. Building upon the subspace-constrained quadratic matrix factorization (SQMF) framework, the…

Machine Learning · Computer Science 2026-05-21 Zheng Zhai , Xiaohui Li

Despite the promising performance of state space models (SSMs) in long sequence modeling, limitations still exist. Advanced SSMs like S5 and S6 (Mamba) in addressing non-uniform sampling, their recursive structures impede efficient SSM…

Machine Learning · Computer Science 2024-06-11 Biqing Qi , Junqi Gao , Kaiyan Zhang , Dong Li , Jianxing Liu , Ligang Wu , Bowen Zhou

Medical image reconstruction from undersampled acquisitions is an ill-posed inverse problem requiring accurate recovery of anatomical structures from incomplete measurements. Physics-driven (PD) network models have gained prominence for…

Image and Video Processing · Electrical Eng. & Systems 2025-08-22 Bilal Kabas , Fuat Arslan , Valiyeh A. Nezhad , Saban Ozturk , Emine U. Saritas , Tolga Çukur

We propose a radical advance in Magnetic Resonance Imaging. MRI remains slow because it requires successive applications of magnetic field gradients to encode for spatial location. Parallel MRI accelerates imaging by permitting…

Medical Physics · Physics 2018-09-19 Michael Hutchinson , Ulrich Raff , Luis Osorio

Estimating the state of an environment from high-dimensional, multimodal, and noisy observations is a fundamental challenge in reinforcement learning (RL). Traditional approaches rely on probabilistic models to account for the uncertainty,…

Machine Learning · Computer Science 2026-02-13 Alfredo Reichlin , Adriano Pacciarelli , Danica Kragic , Miguel Vasco
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