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Graph Neural Networks (GNNs) are deep-learning architectures designed for graph-type data, where understanding relationships among individual observations is crucial. However, achieving promising GNN performance, especially on unseen data,…

Machine Learning · Computer Science 2024-05-22 Lequan Lin , Dai Shi , Andi Han , Zhiyong Wang , Junbin Gao

3D reconstruction of highly deformable surfaces (e.g. cloths) from monocular RGB videos is a challenging problem, and no solution provides a consistent and accurate recovery of fine-grained surface details. To account for the ill-posed…

Graphics · Computer Science 2025-03-27 Navami Kairanda , Marc Habermann , Shanthika Naik , Christian Theobalt , Vladislav Golyanik

We propose two graph neural network layers for graphs with features in a Riemannian manifold. First, based on a manifold-valued graph diffusion equation, we construct a diffusion layer that can be applied to an arbitrary number of nodes and…

Machine Learning · Computer Science 2025-02-26 Martin Hanik , Gabriele Steidl , Christoph von Tycowicz

Solving inverse problems involving measurement noise and modeling errors requires regularization in order to avoid data overfit. Geophysical inverse problems, in which the Earth's highly heterogeneous structure is unknown, present a…

Geophysics · Physics 2022-03-31 Ali Siahkoohi , Rafael Orozco , Gabrio Rizzuti , Felix J. Herrmann

The bidirectional reflectance distribution function (BRDF) is an essential tool to capture the complex interaction of light and matter. Recently, several works have employed neural methods for BRDF modeling, following various strategies,…

Computer Vision and Pattern Recognition · Computer Science 2025-02-24 Florian Hofherr , Bjoern Haefner , Daniel Cremers

We present a new paradigm for creating random features to approximate bi-variate functions (in particular, kernels) defined on general manifolds. This new mechanism of Manifold Random Features (MRFs) leverages discretization of the manifold…

Machine Learning · Computer Science 2026-05-19 Ananya Parashar , Derek Long , Dwaipayan Saha , Krzysztof Choromanski

This paper introduces a novel paradigm for the generalizable neural radiance field (NeRF). Previous generic NeRF methods combine multiview stereo techniques with image-based neural rendering for generalization, yielding impressive results,…

Computer Vision and Pattern Recognition · Computer Science 2024-01-26 Jiaxu Wang , Ziyi Zhang , Renjing Xu

In image set classification, a considerable progress has been made by representing original image sets on Grassmann manifolds. In order to extend the advantages of the Euclidean based dimensionality reduction methods to the Grassmann…

Computer Vision and Pattern Recognition · Computer Science 2022-01-25 Rui Wang , Xiao-Jun Wu , Kai-Xuan Chen , Josef Kittler

Multi-view shape reconstruction has achieved impressive progresses thanks to the latest advances in neural implicit surface rendering. However, existing methods based on signed distance function (SDF) are limited to closed surfaces, failing…

Computer Vision and Pattern Recognition · Computer Science 2023-04-21 Yu-Tao Liu , Li Wang , Jie yang , Weikai Chen , Xiaoxu Meng , Bo Yang , Lin Gao

Predicting scene dynamics from visual observations is challenging. Existing methods capture dynamics only within observed boundaries failing to extrapolate far beyond the training sequence. Node-RF (Neural ODE-based NeRF) overcomes this…

Computer Vision and Pattern Recognition · Computer Science 2026-03-16 Hiran Sarkar , Liming Kuang , Yordanka Velikova , Benjamin Busam

3D Gaussian splatting (3DGS) has shown its detailed expressive ability and highly efficient rendering speed in the novel view synthesis (NVS) task. The application to inverse rendering still faces several challenges, as the discrete nature…

Graphics · Computer Science 2025-07-22 Zuo-Liang Zhu , Jian Yang , Beibei Wang

A recent trend in Non-Rigid Structure-from-Motion (NRSfM) is to express local, differential constraints between pairs of images, from which the surface normal at any point can be obtained by solving a system of polynomial equations. The…

Computer Vision and Pattern Recognition · Computer Science 2021-07-14 Shaifali Parashar , Yuxuan Long , Mathieu Salzmann , Pascal Fua

Point cloud learning often rests on the premise that observed samples are noisy traces of an underlying geometric object, such as a manifold embedded in a high-dimensional feature space. Yet much of this geometry is not captured directly by…

Machine Learning · Computer Science 2026-05-18 Bruno Trentini , Jacob Hume , Vincenzo Antonio Isoldi , Philipp Misof , Ekaterina S. Ivshina , Kelly Maggs

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

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

Molecular dynamics (MD) simulations enable the study of the motion of small and large (bio)molecules and the estimation of their conformational ensembles. The description of the environment (solvent) has thereby a large impact. Implicit…

Chemical Physics · Physics 2023-05-25 Paul Katzberger , Sereina Riniker

The proximal stochastic gradient method (PSGD) is one of the state-of-the-art approaches for stochastic composite-type problems. In contrast to its deterministic counterpart, PSGD has been found to have difficulties with the correct…

Optimization and Control · Mathematics 2026-03-04 Junwen Qiu , Li Jiang , Andre Milzarek

Normal integration reconstructs 3D surfaces from normal maps obtained e.g. by photometric stereo. These normal maps capture surface details down to the pixel level but require large computational resources for integration at high…

Computer Vision and Pattern Recognition · Computer Science 2025-09-08 Moritz Heep , Sven Behnke , Eduard Zell

Neural implicit surface representations have emerged as a promising paradigm to capture 3D shapes in a continuous and resolution-independent manner. However, adapting them to articulated shapes is non-trivial. Existing approaches learn a…

Computer Vision and Pattern Recognition · Computer Science 2021-11-30 Xu Chen , Yufeng Zheng , Michael J. Black , Otmar Hilliges , Andreas Geiger

We propose a novel, vision-only object-level SLAM framework for automotive applications representing 3D shapes by implicit signed distance functions. Our key innovation consists of augmenting the standard neural representation by a…

Computer Vision and Pattern Recognition · Computer Science 2025-03-17 Li Cui , Yang Ding , Richard Hartley , Zirui Xie , Laurent Kneip , Zhenghua Yu