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One of the big challenges in astrophysics is the comparison of complex simulations to observations. As many codes do not directly generate observables (e.g. hydrodynamic simulations), the last step in the modelling process is often a…

天体物理仪器与方法 · 物理学 2018-05-08 Frederik Beaujean , Hans C. Eggers , Wolfgang E. Kerzendorf

Neural Radiance Field (NeRF), capable of synthesizing high-quality novel viewpoint images, suffers from issues like artifact occurrence due to its fixed sampling points during rendering. This study proposes a method that optimizes sampling…

计算机视觉与模式识别 · 计算机科学 2024-10-22 Kazuhiro Ohta , Satoshi Ono

We present a Bayesian Neural Radiance Field (NeRF), which explicitly quantifies uncertainty in the volume density by modeling uncertainty in the occupancy, without the need for additional networks, making it particularly suited for…

计算机视觉与模式识别 · 计算机科学 2025-01-03 Sibeak Lee , Kyeongsu Kang , Seongbo Ha , Hyeonwoo Yu

There is increasing interest in the problem of nonparametric regression with high-dimensional predictors. When the number of predictors $D$ is large, one encounters a daunting problem in attempting to estimate a $D$-dimensional surface…

统计理论 · 数学 2014-06-17 Yun Yang , David B. Dunson

Many engineering systems are subject to spatially distributed uncertainty, i.e. uncertainty that can be modeled as a random field. Altering the mean or covariance of this uncertainty will in general change the statistical distribution of…

最优化与控制 · 数学 2014-07-09 Eric Dow , Qiqi Wang

We introduce an improved solution to the neural image-based rendering problem in computer vision. Given a set of images taken from a freely moving camera at train time, the proposed approach could synthesize a realistic image of the scene…

计算机视觉与模式识别 · 计算机科学 2023-11-09 Nishant Jain , Suryansh Kumar , Luc Van Gool

This paper presents a machine learning framework for Bayesian systems identification from noisy, sparse and irregular observations of nonlinear dynamical systems. The proposed method takes advantage of recent developments in differentiable…

机器学习 · 计算机科学 2020-04-21 Yibo Yang , Mohamed Aziz Bhouri , Paris Perdikaris

This study addresses the challenging problem of active view selection and uncertainty quantification within the domain of Radiance Fields. Neural Radiance Fields (NeRF) have greatly advanced image rendering and reconstruction, but the cost…

计算机视觉与模式识别 · 计算机科学 2024-12-17 Wen Jiang , Boshu Lei , Kostas Daniilidis

Gaussian random fields are popular models for spatially varying uncertainties, arising for instance in geotechnical engineering, hydrology or image processing. A Gaussian random field is fully characterised by its mean function and…

数值分析 · 数学 2019-02-19 Jonas Latz , Marvin Eisenberger , Elisabeth Ullmann

This paper presents Neural Visibility Field (NVF), a novel uncertainty quantification method for Neural Radiance Fields (NeRF) applied to active mapping. Our key insight is that regions not visible in the training views lead to inherently…

计算机视觉与模式识别 · 计算机科学 2024-06-18 Shangjie Xue , Jesse Dill , Pranay Mathur , Frank Dellaert , Panagiotis Tsiotras , Danfei Xu

Image reconstruction methods based on deep neural networks have shown outstanding performance, equalling or exceeding the state-of-the-art results of conventional approaches, but often do not provide uncertainty information about the…

计算机视觉与模式识别 · 计算机科学 2020-12-01 Riccardo Barbano , Željko Kereta , Chen Zhang , Andreas Hauptmann , Simon Arridge , Bangti Jin

Neural Radiance Fields (NeRFs) have demonstrated remarkable potential in capturing complex 3D scenes with high fidelity. However, one persistent challenge that hinders the widespread adoption of NeRFs is the computational bottleneck due to…

计算机视觉与模式识别 · 计算机科学 2024-02-16 Joo Chan Lee , Daniel Rho , Xiangyu Sun , Jong Hwan Ko , Eunbyung Park

We address the challenge of constructing a consistent and photorealistic Neural Radiance Field in inhomogeneously illuminated, scattering environments with unknown, co-moving light sources. While most existing works on underwater scene…

计算机视觉与模式识别 · 计算机科学 2025-04-15 Mengkun She , Felix Seegräber , David Nakath , Patricia Schöntag , Kevin Köser

We tackle the challenge of learning a distribution over complex, realistic, indoor scenes. In this paper, we introduce Generative Scene Networks (GSN), which learns to decompose scenes into a collection of many local radiance fields that…

计算机视觉与模式识别 · 计算机科学 2021-04-02 Terrance DeVries , Miguel Angel Bautista , Nitish Srivastava , Graham W. Taylor , Joshua M. Susskind

Uncertainty quantification for image data is dominated by complex deep learning methods, yet the field lacks an interpretable, mathematically grounded baseline. We propose Bayesian scattering to fill this gap, serving as a first-step…

机器学习 · 计算机科学 2026-03-24 Bernardo Fichera , Zarko Ivkovic , Kjell Jorner , Philipp Hennig , Viacheslav Borovitskiy

Semi-supervised learning has made significant strides in the medical domain since it alleviates the heavy burden of collecting abundant pixel-wise annotated data for semantic segmentation tasks. Existing semi-supervised approaches enhance…

计算机视觉与模式识别 · 计算机科学 2021-12-03 Xu Zheng , Chong Fu , Haoyu Xie , Jialei Chen , Xingwei Wang , Chiu-Wing Sham

We consider the problem of propagating the uncertainty from a possibly large number of random inputs through a computationally expensive model. Stratified sampling is a well-known variance reduction strategy, but its application, thus far,…

数值分析 · 数学 2026-03-06 Gianluca Geraci , Daniele E. Schiavazzi , Andrea Zanoni

Many machine learning problems involve regressing variables on a non-Euclidean manifold -- e.g. a discrete probability distribution, or the 6D pose of an object. One way to tackle these problems through gradient-based learning is to use a…

计算机视觉与模式识别 · 计算机科学 2021-10-14 Romain Brégier

Decomposing an object's appearance into representations of its materials and the surrounding illumination is difficult, even when the object's 3D shape is known beforehand. This problem is especially challenging for diffuse objects: it is…

计算机视觉与模式识别 · 计算机科学 2023-12-15 Dor Verbin , Ben Mildenhall , Peter Hedman , Jonathan T. Barron , Todd Zickler , Pratul P. Srinivasan

Neural Radiance Field (NeRF) has revolutionized novel-view rendering tasks and achieved impressive results. However, the inefficient sampling and per-scene optimization hinder its wide applications. Though some generalizable NeRFs have been…

计算机视觉与模式识别 · 计算机科学 2025-02-18 Yue Shi , Dingyi Rong , Chang Chen , Chaofan Ma , Bingbing Ni , Wenjun Zhang