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Gaussian processes are popular and flexible models for spatial, temporal, and functional data, but they are computationally infeasible for large datasets. We discuss Gaussian-process approximations that use basis functions at multiple…

统计方法学 · 统计学 2020-12-22 Matthias Katzfuss , Wenlong Gong

In this paper, we propose an approximate Bayesian computation approach to perform a multiple target tracking within a binary sensor network. The nature of the binary sensors (getting closer - moving away information) do not allow the use of…

系统与控制 · 计算机科学 2014-10-17 Adrien Ickowicz

Hard X-ray tomography with Paganin's widespread single-distance phase retrieval filter improves contrast-to-noise ratio (CNR) while reducing spatial resolution (SR). We demonstrate that a Gaussian filter provided larger CNR at high SR with…

医学物理 · 物理学 2020-01-22 Griffin Rodgers , Georg Schulz , Hans Deyhle , Willy Kuo , Christoph Rau , Timm Weitkamp , Bert Müller

Studying the optoelectronic structure of materials can require the computation of several thousands of the smallest positive eigenpairs of a pseudo-hermitian Hamiltonian. Iterative eigensolvers may be preferred over direct methods for this…

数值分析 · 数学 2026-04-17 Edoardo Di Napoli , Clément Richefort , Xinzhe Wu

Physical computing is a technology utilizing the nature of electronic devices and circuit topology to cope with computing tasks. In this paper, we propose an active circuit network to implement multi-scale Gaussian filter, which is also…

计算机视觉与模式识别 · 计算机科学 2014-08-12 Yi Li , Qi Wei , Fei Qiao , Huazhong Yang

2-D complex Gabor filtering has found numerous applications in the fields of computer vision and image processing. Especially, in some applications, it is often needed to compute 2-D complex Gabor filter bank consisting of the 2-D complex…

计算机视觉与模式识别 · 计算机科学 2017-04-19 Suhyuk Um , Jaeyoon Kim , Dongbo Min

Due to the increasing demand for high performance and cost reduction within the framework of complex system design, numerical optimization of computationally costly problems is an increasingly popular topic in most engineering fields. In…

最优化与控制 · 数学 2018-06-12 Julien Pelamatti , Loïc Brevault , Mathieu Balesdent , El-Ghazali Talbi , Yannick Guerin

Previous work generally believes that improving the spatial invariance of convolutional networks is the key to object counting. However, after verifying several mainstream counting networks, we surprisingly found too strict pixel-level…

计算机视觉与模式识别 · 计算机科学 2022-08-19 Zhi-Qi Cheng , Qi Dai , Hong Li , JingKuan Song , Xiao Wu , Alexander G. Hauptmann

Image acquisition and segmentation are likely to introduce noise. Further image processing such as image registration and parameterization can introduce additional noise. It is thus imperative to reduce noise measurements and boost signal.…

统计方法学 · 统计学 2021-11-30 Moo K. Chung

For the purpose of maximum likelihood estimation of static parameters, we apply a kernel smoother to the particles in the standard SIR filter for non-linear state space models with additive Gaussian observation noise. This reduces the Monte…

统计计算 · 统计学 2015-05-07 Tore Selland Kleppe , Hans Julius Skaug

Assimilation of continuously streamed monitored data is an essential component of a digital twin; the assimilated data are used to ensure the digital twin is a true representation of the monitored system. One way this is achieved is by…

计算工程、金融与科学 · 计算机科学 2021-05-11 Rebecca Ward , Ruchi Choudhary , Alastair Gregory , Melanie Jans-Singh , Mark Girolami

One of the key approximations to range simulation is downscaling the image, dictated by the natural trigonometric relationships that arise due to long-distance viewing. It is well-known that standard downsampling applied to an image without…

信号处理 · 电气工程与系统科学 2025-05-12 Suayb S. Arslan , Lukas Vogelsang , Michal Fux , Pawan Sinha

Superpixel segmentation algorithms are to partition an image into perceptually coherence atomic regions by assigning every pixel a superpixel label. Those algorithms have been wildly used as a preprocessing step in computer vision works, as…

计算机视觉与模式识别 · 计算机科学 2017-02-22 Zhihua Ban , Jianguo Liu , Li Cao

Local polynomial smoothing is a widespread technique in data analysis, and Savitzky-Golay (SG) filters are one of its most well-known realizations. In real settings, the effectiveness of SG filtering depends critically on proper tuning of…

数据分析、统计与概率 · 物理学 2026-04-09 Andrea Gallo Rosso

The Steered Mixture of Experts regression framework has demonstrated strong performance in image reconstruction, compression, denoising, and super-resolution. However, its high computational cost limits practical applications. This work…

计算机视觉与模式识别 · 计算机科学 2025-11-19 Yi-Hsin Li , Mårten Sjöström , Sebastian Knorr , Thomas Sikora

Binary image segmentation plays an important role in computer vision and has been widely used in many applications such as image and video editing, object extraction, and photo composition. In this paper, we propose a novel interactive…

计算机视觉与模式识别 · 计算机科学 2018-09-11 Jianfeng Zhang , Liezhuo Zhang , Yuankai Teng , Xiaoping Zhang , Song Wang , Lili Ju

The semantic segmentation task aims at dense classification at the pixel-wise level. Deep models exhibited progress in tackling this task. However, one remaining problem with these approaches is the loss of spatial precision, often produced…

计算机视觉与模式识别 · 计算机科学 2022-07-20 Darwin Saire , Adín Ramírez Rivera

This paper presents an algorithm to simulate Gaussian random vectors whose precision matrix can be expressed as a polynomial of a sparse matrix. This situation arises in particular when simulating Gaussian Markov random fields obtained by…

统计方法学 · 统计学 2020-04-07 Mike Pereira , Nicolas Desassis

Inference and simulation in the context of high-dimensional dynamical systems remain computationally challenging problems. Some form of dimensionality reduction is required to make the problem tractable in general. In this paper, we propose…

机器学习 · 统计学 2024-01-04 Jonathan Schmidt , Philipp Hennig , Jörg Nick , Filip Tronarp

We study the deterministic global optimization of trained Gaussian process posterior mean functions over hyperrectangular domains. Although the posterior mean function has a compact closed-form representation, its global optimization is…

最优化与控制 · 数学 2026-05-05 Wei-Ting Tang , Akshay Kudva , Calvin Tsay , Joel A. Paulson