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Trajectory prediction is a challenging task that aims to predict the future trajectory of vehicles or pedestrians over a short time horizon based on their historical positions. The main reason is that the trajectory is a kind of complex…

Computer Vision and Pattern Recognition · Computer Science 2025-07-18 Pengqian Han , Jiamou Liu , Tianzhe Bao , Yifei Wang

Diffusion tensor imaging provides increased sensitivity to microstructural tissue changes compared to conventional anatomical imaging but also presents limited specificity. To tackle this problem, the DIAMOND model subdivides the voxel…

This study presents a new computational approach for simulating the microbial decomposition of organic matter, from 3D micro-computed tomography (micro-CT) images of soil. The method employs a valuated graph of connected voxels to simulate…

Computer Vision and Pattern Recognition · Computer Science 2024-06-07 Mouad Klai , Olivier Monga , Mohamed Soufiane Jouini , Valérie Pot

Connectivity is a fundamental structural feature of a network that determines the outcome of any dynamics that happens on top of it. However, an analytical approach to obtain connection probabilities between nodes associated to paths of…

Atmospheric and Oceanic Physics · Physics 2021-04-28 Enrico Ser-Giacomi , Terence Legrand , Ismael Hernandez-Carrasco , Vincent Rossi

Current theories hold that brain function is highly related to long-range physical connections through axonal bundles, namely extrinsic connectiv-ity. However, obtaining a groupwise cortical parcellation based on extrinsic connectivity…

Applications · Statistics 2017-01-06 Guillermo Gallardo , William Wells , Rachid Deriche , Demian Wassermann

Confinement can substantially alter the physicochemical properties of materials by breaking translational isotropy and rendering all physical properties position-dependent. Molecular dynamics (MD) simulations have proven instrumental in…

Statistical Mechanics · Physics 2024-02-06 Tiago Domingues , Ronald Coifman , Amir Haji-Akbari

Diffusion tensor imaging (DTI) plays a key role in analyzing the physical structures of biological tissues, particularly in reconstructing fiber tracts of the human brain in vivo. On the one hand, eigenvalues of diffusion tensors (DTs)…

Applications · Statistics 2013-04-18 Tao Yu , Chunming Zhang , Andrew L. Alexander , Richard J. Davidson

We propose a statistical learning model for classifying cognitive processes based on distributed patterns of neural activation in the brain, acquired via functional magnetic resonance imaging (fMRI). In the proposed learning method, local…

Artificial Intelligence · Computer Science 2014-03-07 Orhan Firat , Mete Ozay , Ilke Oztekin , Fatos T. Yarman Vural

Recent advances in molecular and genetic research have identified a diverse range of brain tumor sub-types, shedding light on differences in their molecular mechanisms, heterogeneity, and origins. The present study performs whole-brain…

Neurons and Cognition · Quantitative Biology 2024-07-26 Debanjali Bhattacharya , Ninad Aithal , Manish Jayswal , Neelam Sinha

Real-time rendering of dynamic line sets is relevant in many visualization tasks, including unsteady flow visualization and interactive white matter reconstruction from Magnetic Resonance Imaging. High-quality global illumination and…

Graphics · Computer Science 2026-02-13 Bram Kraaijeveld , Andrei C. Jalba , Anna Vilanova , Maxime Chamberland

Diffusion-weighted magnetic resonance imaging (DW-MRI) is the only non-invasive approach for estimation of intra-voxel tissue microarchitecture and reconstruction of in vivo neural pathways for the human brain. With improvement in…

Image and Video Processing · Electrical Eng. & Systems 2020-02-21 Vishwesh Nath , Sudhir K. Pathak , Kurt G. Schilling , Walt Schneider , Bennett A. Landman

Several problems in machine learning are naturally expressed as the design and analysis of time-evolving probability distributions. This includes sampling via diffusion methods, optimizing the weights of neural networks, and analyzing the…

Optimization and Control · Mathematics 2026-05-28 Gabriel Peyré

Advective trapping occurs when solute enters low velocity zones in heterogeneous porous media. Classical local modeling approaches combine the impact of slow advection and diffusion into a hydrodynamic dispersion coefficient and many…

Fluid Dynamics · Physics 2020-12-02 Juan J. Hidalgo , Insa Neuweiler , Marco Dentz

White matter parcellation classifies tractography streamlines into clusters or anatomically meaningful tracts to enable quantification and visualization. Most parcellation methods focus on the deep white matter (DWM), while fewer methods…

Computer Vision and Pattern Recognition · Computer Science 2022-02-01 Tengfei Xue , Fan Zhang , Chaoyi Zhang , Yuqian Chen , Yang Song , Nikos Makris , Yogesh Rathi , Weidong Cai , Lauren J. O'Donnell

In this work, Transition Probability Matrix (TPM) is proposed as a new method for extracting the features of nodes in the graph. The proposed method uses random walks to capture the connectivity structure of a node's close neighborhood. The…

Machine Learning · Computer Science 2023-03-07 Sarmad N. Mohammed , Semra Gündüç

This paper describes how realistic neuromorphic networks can have their connectivity fully characterized in analytical fashion. By assuming that all neurons have the same shape and are regularly distributed along the two-dimensional…

Disordered Systems and Neural Networks · Physics 2007-05-23 Luciano da Fontoura Costa , Marconi Soares Barbosa

Comparing white matter (WM) connections between adults and neonates using diffusion MRI (dMRI) can advance our understanding of typical brain development and potential biomarkers for neurological disorders. However, existing WM atlases are…

Neural and Evolutionary Computing · Computer Science 2025-12-24 Wei Zhang , Yijie Li , Ruixi Zheng , Nir A. Sochen , Yuqian Chen , Leo R. Zekelman , Ofer Pasternak , Jarrett Rushmore , Yogesh Rathi , Nikos Makris , Lauren J. O'Donnell , Fan Zhang

The trajectories of diffusion processes are continuous but non-differentiable, and each occurs with vanishing probability. This introduces a gap between theory, where path probabilities are used in many contexts, and experiment, where only…

Statistical Mechanics · Physics 2020-07-01 Julian Kappler , Ronojoy Adhikari

We extend the orbital-dependent electron tunneling model implemented within the three-dimensional (3D) Wentzel-Kramers-Brillouin (WKB) atom-superposition approach for simulating scanning tunneling microscopy (STM) by including arbitrary tip…

Materials Science · Physics 2013-10-15 Gábor Mándi , Norbert Nagy , Krisztián Palotás

The crystallographic texture is a key organization feature of many technical and biological materials. In these materials, especially hierarchically structured ones, the preferential alignment of the nano constituents is heavily influencing…