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Statistical physics approaches can be used to derive accurate predictions for the performance of inference methods learning from potentially noisy data, as quantified by the learning curve defined as the average error versus number of…

Machine Learning · Statistics 2012-11-07 Matthew J. Urry , Peter Sollich

Existing methods for spectral reconstruction usually learn a discrete mapping from RGB images to a number of spectral bands. However, this modeling strategy ignores the continuous nature of spectral signature. In this paper, we propose…

Computer Vision and Pattern Recognition · Computer Science 2022-09-01 Ruikang Xu , Mingde Yao , Chang Chen , Lizhi Wang , Zhiwei Xiong

We consider the use of digital signal processing to reconstruct continuous reflectance spectra using a small finite set of randomly illuminated light emitting diodes (LEDs). We simulate the use of LEDs having identical spectral distance and…

Optics · Physics 2025-10-29 John C. Howell , Pieter H. Neethling , Tjaart P. J. Kruger

The problem of classifying graphs is ubiquitous in machine learning. While it is standard to apply graph neural networks or graph kernel methods, Gaussian processes can be employed by transforming spatial features from the graph domain into…

Machine Learning · Computer Science 2025-02-04 Mathieu Alain , So Takao , Xiaowen Dong , Bastian Rieck , Emmanuel Noutahi

We propose a novel cross-spectral rendering framework based on 3D Gaussian Splatting (3DGS) that generates realistic and semantically meaningful splats from registered multi-view spectrum and segmentation maps. This extension enhances the…

Computer Vision and Pattern Recognition · Computer Science 2024-08-14 Saptarshi Neil Sinha , Holger Graf , Michael Weinmann

Advances in hyperspectral imaging modes including electron energy loss spectroscopy (EELS) in scanning transmission electron microscopy (STEM) bring forth the challenges of exploratory and subsequently physics-based analysis of…

Computational Physics · Physics 2020-05-22 Sergei V. Kalinin , Andrew R. Lupini , Rama K. Vasudevan , Maxim Ziatdinov

Implicit neural representations (INRs) have achieved remarkable success in image representation and compression, but they require substantial training time and memory. Meanwhile, recent 2D Gaussian Splatting (GS) methods (\textit{e.g.},…

Computer Vision and Pattern Recognition · Computer Science 2026-01-01 Tiantian Li , Xinjie Zhang , Xingtong Ge , Tongda Xu , Dailan He , Jun Zhang , Yan Wang

Deep neural networks (DNN) and Gaussian processes (GP) are two powerful models with several theoretical connections relating them, but the relationship between their training methods is not well understood. In this paper, we show that…

Machine Learning · Statistics 2020-07-21 Mohammad Emtiyaz Khan , Alexander Immer , Ehsan Abedi , Maciej Korzepa

The problem of obtaining spectral densities from lattice data has been receiving great attention due to its importance in our understanding of scattering processes in Quantum Field Theory, with applications both in the Standard Model and…

High Energy Physics - Lattice · Physics 2024-09-09 Luigi Del Debbio , Alessandro Lupo , Marco Panero , Nazario Tantalo

Accurately representing the sound field with the high spatial resolution is critical for immersive and interactive sound field reproduction technology. To minimize experimental effort, data-driven methods have been proposed to estimate…

Audio and Speech Processing · Electrical Eng. & Systems 2023-11-10 Zining Liang , Wen Zhang , Thushara D. Abhayapala

In this paper we propose a novel Bayesian solution for nonlinear regression in complex fields. Previous solutions for kernels methods usually assume a complexification approach, where the real-valued kernel is replaced by a complex-valued…

Machine Learning · Computer Science 2018-03-02 Rafael Boloix-Tortosa , Eva Arias-de-Reyna , F. Javier Payan-Somet , Juan J. Murillo-Fuentes

Gaussian processes (GPs) are widely used in non-parametric Bayesian modeling, and play an important role in various statistical and machine learning applications. In a variety tasks of uncertainty quantification, generating random sample…

Computation · Statistics 2024-08-02 Haoyuan Chen , Rui Tuo

Light interreflections occurring in a concave object generate a color gradient which is characteristic of the object's spectral reflectance. In this paper, we use this property in order to estimate the spectral reflectance of matte,…

Computer Vision and Pattern Recognition · Computer Science 2018-07-04 Rada Deeb , Damien Muselet , Mathieu Hebert , Alain Tremeau

Neural radiance fields have achieved remarkable performance in modeling the appearance of 3D scenes. However, existing approaches still struggle with the view-dependent appearance of glossy surfaces, especially under complex lighting of…

Computer Vision and Pattern Recognition · Computer Science 2024-05-17 Li Ma , Vasu Agrawal , Haithem Turki , Changil Kim , Chen Gao , Pedro Sander , Michael Zollhöfer , Christian Richardt

We present GP-4DGS, a novel framework that integrates Gaussian Processes (GPs) into 4D Gaussian Splatting (4DGS) for principled probabilistic modeling of dynamic scenes. While existing 4DGS methods focus on deterministic reconstruction,…

Computer Vision and Pattern Recognition · Computer Science 2026-04-06 Mijeong Kim , Jungtaek Kim , Bohyung Han

This paper presents a nonlinear mixing model for joint hyperspectral image unmixing and nonlinearity detection. The proposed model assumes that the pixel reflectances are linear combinations of known pure spectral components corrupted by an…

Methodology · Statistics 2015-06-16 Yoann Altmann , Nicolas Dobigeon , Steve McLaughlin , Jean-Yves Tourneret

Reconstructing complex reflections in real-world scenes from 2D images is essential for achieving photorealistic novel view synthesis. Existing methods that utilize environment maps to model reflections from distant lighting often struggle…

Computer Vision and Pattern Recognition · Computer Science 2025-03-28 Tao Xie , Xi Chen , Zhen Xu , Yiman Xie , Yudong Jin , Yujun Shen , Sida Peng , Hujun Bao , Xiaowei Zhou

Gaussian Splatting have demonstrated remarkable novel view synthesis performance at high rendering frame rates. Optimization-based inverse rendering within complex capture scenarios remains however a challenging problem. A particular case…

Graphics · Computer Science 2025-12-08 Mae Younes , Adnane Boukhayma

Many inferential tasks involve fitting models to observed data and predicting outcomes at new covariate values, requiring interpolation or extrapolation. Conventional methods select a single best-fitting model, discarding fits that were…

Methodology · Statistics 2026-01-01 Soonhong Cho , Doeun Kim , Chad Hazlett

Specular highlights distort appearance, obscure texture, and hinder geometric reasoning in both natural and surgical imagery. We present UnReflectAnything, an RGB-only framework that removes highlights from a single image by predicting a…

Computer Vision and Pattern Recognition · Computer Science 2025-12-12 Alberto Rota , Mert Kiray , Mert Asim Karaoglu , Patrick Ruhkamp , Elena De Momi , Nassir Navab , Benjamin Busam