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We present a deep learning model, DE-LSTM, for the simulation of a stochastic process with an underlying nonlinear dynamics. The deep learning model aims to approximate the probability density function of a stochastic process via numerical…

Computational Physics · Physics 2018-10-23 Kyongmin Yeo , Igor Melnyk

Accurate modeling of tool-tissue interactions in robotic surgery requires precise tracking of deformable tissues and integration of surgical domain knowledge. Traditional methods rely on labor-intensive annotations or rigid assumptions,…

Robotics · Computer Science 2025-04-17 Yiting Wang , Yunxin Fan , Fei Liu

In medical imaging, most of the image registration methods implicitly assume a one-to-one correspondence between the source and target images (i.e., diffeomorphism). However, this is not necessarily the case when dealing with pathological…

Image and Video Processing · Electrical Eng. & Systems 2022-02-03 Matthis Maillard , Anton François , Joan Glaunès , Isabelle Bloch , Pietro Gori

Convolutional sparse coding (CSC) can learn representative shift-invariant patterns from multiple kinds of data. However, existing CSC methods can only model noises from Gaussian distribution, which is restrictive and unrealistic. In this…

Machine Learning · Computer Science 2020-04-22 Yaqing Wang , James T. Kwok , Lionel M. Ni

This work proposes a general framework for capturing noise-driven transitions in spatially extended non-equilibrium systems and explains the emergence of coherent patterns beyond the instability onset. The framework relies on stochastic…

Dynamical Systems · Mathematics 2024-12-16 Mickaël D. Chekroun , Honghu Liu , James C. McWilliams

Magnetic Resonance Imaging (MRI) is essential for noninvasive generation of high-quality images of human tissues. Accurate segmentation of MRI data is critical for medical applications like brain anatomy analysis and disease detection.…

Optimization and Control · Mathematics 2025-10-17 Laura Antonelli , Valentina De Simone , Marco Viola

Neuroimaging data, particularly from techniques like MRI or PET, offer rich but complex information about brain structure and activity. To manage this complexity, latent representation models - such as Autoencoders, Generative Adversarial…

Computer Vision and Pattern Recognition · Computer Science 2024-12-31 C. Vázquez-García , F. J. Martínez-Murcia , F. Segovia Román , Juan M. Górriz

This paper presents a learning-based approach for accurately estimating the 3D shape of flexible continuum robots subjected to external loads. The proposed method introduces a spatiotemporal neural network architecture that fuses…

Robotics · Computer Science 2025-10-28 Enyi Wang , Zhen Deng , Chuanchuan Pan , Bingwei He , Jianwei Zhang

Lagrangian particle formulations of the large deformation diffeomorphic metric mapping algorithm (LDDMM) only allow for the study of a single shape. In this paper, we introduce and discuss both a theoretical and practical setting for the…

Optimization and Control · Mathematics 2015-03-04 Sylvain Arguillère , Emmanuel Trélat , Alain Trouvé , Laurent Younes

Dynamic Mode Decomposition (DMD) is a powerful tool for extracting spatial and temporal patterns from multi-dimensional time series, and it has been used successfully in a wide range of fields, including fluid mechanics, robotics, and…

Dynamical Systems · Mathematics 2021-09-07 Ziyou Wu , Steven L. Brunton , Shai Revzen

Respiratory motion and the associated deformations of abdominal organs and tumors are essential information in clinical applications. However, inter- and intra-patient multi-organ deformations are complex and have not been statistically…

Computer Vision and Pattern Recognition · Computer Science 2020-11-04 Megumi Nakao , Mitsuhiro Nakamura , Takashi Mizowaki , Tetsuya Matsuda

For sequences of complex 3D shapes in time we present a general approach to detect patterns for their analysis and to predict the deformation by making use of structural components of the complex shape. We incorporate long short-term memory…

Computer Vision and Pattern Recognition · Computer Science 2020-09-09 Sara Hahner , Rodrigo Iza-Teran , Jochen Garcke

The evolving algorithms for 2D facial landmark detection empower people to recognize faces, analyze facial expressions, etc. However, existing methods still encounter problems of unstable facial landmarks when applied to videos. Because…

Computer Vision and Pattern Recognition · Computer Science 2020-07-31 Xiaoyu Xiang , Yang Cheng , Shaoyuan Xu , Qian Lin , Jan Allebach

We propose a new architecture for the learning of predictive spatio-temporal motion models from data alone. Our approach, dubbed the Dropout Autoencoder LSTM, is capable of synthesizing natural looking motion sequences over long time…

Computer Vision and Pattern Recognition · Computer Science 2017-12-05 Partha Ghosh , Jie Song , Emre Aksan , Otmar Hilliges

Diffeomorphic image registration is crucial for various medical imaging applications because it can preserve the topology of the transformation. This study introduces DCCNN-LSTM-Reg, a learning framework that evolves dynamically and learns…

Image and Video Processing · Electrical Eng. & Systems 2024-11-06 Jinqiu Deng , Ke Chen , Mingke Li , Daoping Zhang , Chong Chen , Alejandro F. Frangi , Jianping Zhang

Contrastive learning, which aims to capture general representation from unlabeled images to initialize the medical analysis models, has been proven effective in alleviating the high demand for expensive annotations. Current methods mainly…

Computer Vision and Pattern Recognition · Computer Science 2022-08-18 Huai Chen , Renzhen Wang , Xiuying Wang , Jieyu Li , Qu Fang , Hui Li , Jianhao Bai , Qing Peng , Deyu Meng , Lisheng Wang

Re-identification of individual animals in images can be ambiguous due to subtle variations in body markings between different individuals and no constraints on the poses of animals in the wild. Person re-identification is a similar task…

Computer Vision and Pattern Recognition · Computer Science 2020-01-10 Olga Moskvyak , Frederic Maire , Feras Dayoub , Mahsa Baktashmotlagh

Many biological objects possess bilateral symmetry about a midline or midplane, up to a ``noise'' term. This paper uses landmark-based methods to measure departures from bilateral symmetry, especially for the two-group problem where one…

Methodology · Statistics 2026-01-21 Kanti V. Mardia , Xiangyu Wu , John T. Kent , Colin R. Goodall , Balvinder S. Khambay

Objectives: Computerized phantoms play an essential role in various applications of medical imaging research. Although the existing computerized phantoms can model anatomical variations through organ and phantom scaling, this does not…

Image and Video Processing · Electrical Eng. & Systems 2021-04-20 Junyu Chen , Ye Li , Yong Du , Eric C. Frey

High-dimensional data are ubiquitous, with examples ranging from natural images to scientific datasets, and often reside near low-dimensional manifolds. Leveraging this geometric structure is vital for downstream tasks, including signal…

Machine Learning · Statistics 2025-06-24 Yihan Shen , Shiyu Wang , Arnaud Lamy , Mariam Avagyan , John Wright