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Spherical harmonic expansions are well-established tools for estimating magnetic fields from surface measurements and are widely used in applications such as tomographic imaging, geomagnetism, and biomagnetism. Although the mathematical…

仪器与探测器 · 物理学 2026-02-24 Fynn Foerger , Philip Suskin , Marija Boberg , Jonas Faltinath , Tobias Knopp , Martin Möddel

Uncertainty quantification complements model predictions by characterizing their reliability, which is essential for high-stakes decision making such as medical image segmentation. However, most existing methods reduce uncertainty to a…

计算机视觉与模式识别 · 计算机科学 2026-05-13 An Sui , Yuzhu Li , Gunter Schumann , Fuping Wu , Xiahai Zhuang

Neural Radiance Fields employ simple volume rendering as a way to overcome the challenges of differentiating through ray-triangle intersections by leveraging a probabilistic notion of visibility. This is achieved by assuming the scene is…

计算机视觉与模式识别 · 计算机科学 2022-09-07 Andrea Tagliasacchi , Ben Mildenhall

This paper proposes a novel uncertainty quantification framework for computationally demanding systems characterized by a large vector of non-Gaussian uncertainties. It combines state-of-the-art techniques in advanced Monte Carlo sampling…

统计计算 · 统计学 2018-03-05 Phaedon-Stelios Koutsourelakis

Observations of gravitational waves emitted by merging compact binaries have provided tantalising hints about stellar astrophysics, cosmology, and fundamental physics. However, the physical parameters describing the systems, (mass, spin,…

天体物理仪器与方法 · 物理学 2023-09-29 Colm Talbot , Jacob Golomb

We introduce Consistent Instance Field, a continuous and probabilistic spatio-temporal representation for dynamic scene understanding. Unlike prior methods that rely on discrete tracking or view-dependent features, our approach disentangles…

An increasing array of biomedical and computer vision applications requires the predictive modeling of complex data, for example images and shapes. The main challenge when predicting such objects lies in the fact that they do not comply to…

机器学习 · 统计学 2017-02-17 Dimosthenis Tsagkrasoulis , Giovanni Montana

Dynamic imaging is essential for analyzing various biological systems and behaviors but faces two main challenges: data incompleteness and computational burden. For many imaging systems, high frame rates and short acquisition times require…

图像与视频处理 · 电气工程与系统科学 2024-06-12 Luke Lozenski , Mark A. Anastasio , Umberto Villa

Neural radiance fields (NeRFs) have enabled high fidelity 3D reconstruction from multiple 2D input views. However, a well-known drawback of NeRFs is the less-than-ideal performance under a small number of views, due to insufficient…

计算机视觉与模式识别 · 计算机科学 2023-03-27 Mikaela Angelina Uy , Ricardo Martin-Brualla , Leonidas Guibas , Ke Li

We present Neural Reflectance Fields, a novel deep scene representation that encodes volume density, normal and reflectance properties at any 3D point in a scene using a fully-connected neural network. We combine this representation with a…

计算机视觉与模式识别 · 计算机科学 2020-08-18 Sai Bi , Zexiang Xu , Pratul Srinivasan , Ben Mildenhall , Kalyan Sunkavalli , Miloš Hašan , Yannick Hold-Geoffroy , David Kriegman , Ravi Ramamoorthi

Neural Radiance Fields (NeRF) often struggle with reconstructing and rendering highly reflective scenes. Recent advancements have developed various reflection-aware appearance models to enhance NeRF's capability to render specular…

计算机视觉与模式识别 · 计算机科学 2025-01-17 Ji Shi , Xianghua Ying , Ruohao Guo , Bowei Xing , Wenzhen Yue

Providing a model that achieves a strong predictive performance and is simultaneously interpretable by humans is one of the most difficult challenges in machine learning research due to the conflicting nature of these two objectives. To…

机器学习 · 计算机科学 2024-05-14 Danny D'Agostino , Ilija Ilievski , Christine Annette Shoemaker

Manifolds discovered by machine learning models provide a compact representation of the underlying data. Geodesics on these manifolds define locally length-minimising curves and provide a notion of distance, which are key for reduced-order…

机器学习 · 计算机科学 2023-05-25 Daniel Kelshaw , Luca Magri

Neural radiance fields (NeRF) excel at synthesizing new views given multi-view, calibrated images of a static scene. When scenes include distractors, which are not persistent during image capture (moving objects, lighting variations,…

计算机视觉与模式识别 · 计算机科学 2024-07-30 Sara Sabour , Suhani Vora , Daniel Duckworth , Ivan Krasin , David J. Fleet , Andrea Tagliasacchi

Robust inference for stochastic dynamical systems is often hampered by sparse sampling and the absence of closed-form likelihoods. We introduce a Monte Carlo path-inference framework that leverages full-path statistics and bridge processes…

统计力学 · 物理学 2025-10-07 Javier Aguilar , Miguel A. Muñoz , Sandro Azaele

To predict smooth physical phenomena from observations, spline interpolation provides an interpretable framework by minimizing an energy functional associated with the Laplacian operator. This work proposes a methodology to construct a…

统计计算 · 统计学 2026-03-26 Charlie Sire , Mike Pereira

Reconstructing category-specific objects using Neural Radiance Field (NeRF) from a single image is a promising yet challenging task. Existing approaches predominantly rely on projection-based feature retrieval to associate 3D points in the…

计算机视觉与模式识别 · 计算机科学 2025-02-18 Kun Wang , Zhiqiang Yan , Zhenyu Zhang , Xiang Li , Jun Li , Jian Yang

This paper proposes a novel framework for large-scale scene reconstruction based on 3D Gaussian splatting (3DGS) and aims to address the scalability and accuracy challenges faced by existing methods. For tackling the scalability issue, we…

计算机视觉与模式识别 · 计算机科学 2024-09-25 Hanyue Zhang , Zhiliu Yang , Xinhe Zuo , Yuxin Tong , Ying Long , Chen Liu

Anomaly detection is a field of intense research. Identifying low probability events in data/images is a challenging problem given the high-dimensionality of the data, especially when no (or little) information about the anomaly is…

机器学习 · 计算机科学 2022-04-13 José A. Padrón-Hidalgo , Valero Laparra , Gustau Camps-Valls

Modern regression applications can involve hundreds or thousands of variables which motivates the use of variable selection methods. Bayesian variable selection defines a posterior distribution on the possible subsets of the variables…

统计方法学 · 统计学 2024-10-16 J. E. Griffin