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Deep learning for distribution grid optimization can be advocated as a promising solution for near-optimal yet timely inverter dispatch. The principle is to train a deep neural network (DNN) to predict the solutions of an optimal power flow…

Optimization and Control · Mathematics 2020-07-09 Manish K. Singh , Sarthak Gupta , Vassilis Kekatos , Guido Cavraro , Andrey Bernstein

We propose a novel framework for representing neural fields on triangle meshes that is multi-resolution across both spatial and frequency domains. Inspired by the Neural Fourier Filter Bank (NFFB), our architecture decomposes the spatial…

Computer Vision and Pattern Recognition · Computer Science 2025-07-22 Avigail Cohen Rimon , Tal Shnitzer , Mirela Ben Chen

Implicit Neural Representations have gained prominence as a powerful framework for capturing complex data modalities, encompassing a wide range from 3D shapes to images and audio. Within the realm of 3D shape representation, Neural Signed…

Computer Vision and Pattern Recognition · Computer Science 2024-04-04 Amine Ouasfi , Adnane Boukhayma

Learning new representations of 3D point clouds is an active research area in 3D vision, as the order-invariant point cloud structure still presents challenges to the design of neural network architectures. Recent works explored learning…

Computer Vision and Pattern Recognition · Computer Science 2022-07-18 Yusuf H. Sahin , Alican Mertan , Gozde Unal

We present Manifold Diffusion Fields (MDF), an approach that unlocks learning of diffusion models of data in general non-Euclidean geometries. Leveraging insights from spectral geometry analysis, we define an intrinsic coordinate system on…

Machine Learning · Computer Science 2024-01-23 Ahmed A. Elhag , Yuyang Wang , Joshua M. Susskind , Miguel Angel Bautista

Many measurements in computer vision and machine learning manifest as non-Euclidean data samples. Several researchers recently extended a number of deep neural network architectures for manifold valued data samples. Researchers have…

Machine Learning · Statistics 2020-04-07 Rudrasis Chakraborty

Diffusion probabilistic models have quickly become a major approach for generative modeling of images, 3D geometry, video and other domains. However, to adapt diffusion generative modeling to these domains the denoising network needs to be…

Computer Vision and Pattern Recognition · Computer Science 2023-03-02 Peiye Zhuang , Samira Abnar , Jiatao Gu , Alex Schwing , Joshua M. Susskind , Miguel Ángel Bautista

Curved objects pose a fundamental challenge for skill transfer in robotics: unlike planar surfaces, they do not admit a global reference frame. As a result, task-relevant directions such as "toward" or "along" the surface vary with position…

Robotics · Computer Science 2025-11-25 Cem Bilaloglu , Tobias Löw , Sylvain Calinon

Diffusion Magnetic Resonance Imaging (dMRI) is a non-invasive method for depicting brain microstructure in vivo. Fiber orientation distributions (FODs) are mathematical representations extensively used to map white matter fiber…

Image and Video Processing · Electrical Eng. & Systems 2025-04-22 Rizhong Lin , Hamza Kebiri , Ali Gholipour , Yufei Chen , Jean-Philippe Thiran , Davood Karimi , Meritxell Bach Cuadra

A critical limitation of current methods based on Neural Radiance Fields (NeRF) is that they are unable to quantify the uncertainty associated with the learned appearance and geometry of the scene. This information is paramount in real…

Computer Vision and Pattern Recognition · Computer Science 2022-03-22 Jianxiong Shen , Antonio Agudo , Francesc Moreno-Noguer , Adria Ruiz

In this paper, we propose a novel large deformation diffeomorphic registration algorithm to align high angular resolution diffusion images (HARDI) characterized by orientation distribution functions (ODFs). Our proposed algorithm seeks an…

Computer Vision and Pattern Recognition · Computer Science 2011-07-26 Jia Du , Alvina Goh , Anqi Qiu

Neurite Orientation Dispersion and Density Imaging (NODDI) is an important imaging technology used to evaluate the microstructure of brain tissue, which is of great significance for the discovery and treatment of various neurological…

Computer Vision and Pattern Recognition · Computer Science 2024-08-06 Taohui Xiao , Jian Cheng , Wenxin Fan , Jing Yang , Cheng Li , Enqing Dong , Shanshan Wang

3D reconstruction from images has wide applications in Virtual Reality and Automatic Driving, where the precision requirement is very high. Ground-breaking research in the neural radiance field (NeRF) by utilizing Multi-Layer Perceptions…

Computer Vision and Pattern Recognition · Computer Science 2022-09-28 Jiaming Shen , Bolin Song , Zirui Wu , Yi Xu

Deep neural decision forest (NDF) achieved remarkable performance on various vision tasks via combining decision tree and deep representation learning. In this work, we first trace the decision-making process of this model and visualize…

Computer Vision and Pattern Recognition · Computer Science 2019-04-22 Shichao Li , Kwang-Ting Cheng

Diffusion-weighted MR imaging (DWI) is the only method we currently have to measure connections between different parts of the human brain in vivo. To elucidate the structure of these connections, algorithms for tracking bundles of axonal…

Machine Learning · Statistics 2014-12-05 Charles Zheng , Franco Pestilli , Ariel Rokem

Due to recent technological advances, large brain imaging data sets can now be collected. Such data are highly complex so extraction of meaningful information from them remains challenging. Thus, there is an urgent need for statistical…

Applications · Statistics 2021-06-30 Seungyong Hwang , Thomas C. M. Lee , Debashis Paul , Jie Peng

Unsigned Distance Fields (UDFs) provide a flexible representation for 3D shapes with arbitrary topology, including open and closed surfaces, orientable and non-orientable geometries, and non-manifold structures. While recent neural…

Computer Vision and Pattern Recognition · Computer Science 2025-10-15 Jiayi Kong , Chen Zong , Junkai Deng , Xuhui Chen , Fei Hou , Shiqing Xin , Junhui Hou , Chen Qian , Ying He

We develop a general analytical and numerical framework for estimating intra- and extra-neurite water fractions and diffusion coefficients, as well as neurite orientational dispersion, in each imaging voxel. By employing a set of rotational…

Biological Physics · Physics 2018-04-10 Dmitry S. Novikov , Jelle Veraart , Ileana O. Jelescu , Els Fieremans

In visual computing, 3D geometry is represented in many different forms including meshes, point clouds, voxel grids, level sets, and depth images. Each representation is suited for different tasks thus making the transformation of one…

Computer Vision and Pattern Recognition · Computer Science 2022-09-02 Trevor Houchens , Cheng-You Lu , Shivam Duggal , Rao Fu , Srinath Sridhar

In this work we target a learnable output representation that allows continuous, high resolution outputs of arbitrary shape. Recent works represent 3D surfaces implicitly with a Neural Network, thereby breaking previous barriers in…

Computer Vision and Pattern Recognition · Computer Science 2020-10-28 Julian Chibane , Aymen Mir , Gerard Pons-Moll