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The Gaussian Filter (GF) is one of the most widely used filtering algorithms; instances are the Extended Kalman Filter, the Unscented Kalman Filter and the Divided Difference Filter. GFs represent the belief of the current state by a…

机器人学 · 计算机科学 2015-06-09 Manuel Wüthrich , Sebastian Trimpe , Daniel Kappler , Stefan Schaal

We prove that \textsf{P}-points (even strong P-points) and Gruff ultrafilters exist in any forcing extension obtained by adding fewer than $\aleph_{\omega}% $-many random reals to a model of \textsf{CH. }These results improve and correct…

逻辑 · 数学 2025-09-18 Alan Dow , Osvaldo Guzmán

Impulsive noise is a problem encountered during the acquisition and transmission of digital images. Fuzzy metrics dealing nicely with the nonlinear nature of digital images are used in vector median-based filters for noise reduction in…

经典分析与常微分方程 · 数学 2018-09-25 Kamran Alam Khan

A matrix algebra is constructed which consists of the necessary degrees of freedom for a finite approximation to the algebra of functions on the family of orthogonal Grassmannians of real dimension 2N, known as complex quadrics. These…

高能物理 - 理论 · 物理学 2009-11-10 Brian P. Dolan , Denjoe O'Connor , Peter Presnajder

F.~Schweiger introduced the fibred system in \cite{Schweiger-MCF}, to unify and generalize many known continued fraction algorithms. An advantage of a fibred system is that it often provides a systematic construction of absolutely…

动力系统 · 数学 2022-07-28 Hiroaki Ito

We present an Augmented Lagrangian formulation and its real-space implementation for non-periodic orbital-free Density Functional Theory (OF-DFT) calculations. In particular, we rewrite the constrained minimization problem of OF-DFT as a…

计算物理 · 物理学 2015-06-19 Phanish Suryanarayana , Deepa Phanish

Many automatically analyzable scientific questions are well-posed and offer a variety of information about the expected outcome a priori. Although often being neglected, this prior knowledge can be systematically exploited to make automated…

计算机视觉与模式识别 · 计算机科学 2018-02-07 Johannes Stegmaier , Ralf Mikut

Instead of directly utilizing an observed image including some outliers, noise or intensity inhomogeneity, the use of its ideal value (e.g. noise-free image) has a favorable impact on clustering. Hence, the accurate estimation of the…

计算机视觉与模式识别 · 计算机科学 2020-10-12 Cong Wang , Witold Pedrycz , ZhiWu Li , MengChu Zhou , Jun Zhao

In top-bottom seesaw and topflavor model, there may exist extra Higgses and vectorlike fermions, and we have examined the W mass anomaly reported by CDF II in these frames. We found that the CDF II W-boson mass data constrains the parameter…

高能物理 - 唯象学 · 物理学 2023-03-15 Guo-Li Liu

Fuzzy rough feature selection (FRFS) is an effective means of addressing the curse of dimensionality in high-dimensional data. By removing redundant and irrelevant features, FRFS helps mitigate classifier overfitting, enhance generalization…

机器学习 · 计算机科学 2025-05-22 Suping Xu , Lin Shang , Keyu Liu , Hengrong Ju , Xibei Yang , Witold Pedrycz

Computer vision applications are omnipresent nowadays. The current paper explores the use of fuzzy logic in computer vision, stressing its role in handling uncertainty, noise, and imprecision in image data. Fuzzy logic is able to model…

计算机视觉与模式识别 · 计算机科学 2025-07-28 Adilet Yerkin , Ayan Igali , Elnara Kadyrgali , Maksat Shagyrov , Malika Ziyada , Muragul Muratbekova , Pakizar Shamoi

Recently, $4f$ system containing a q-plate has been used to perform edge detection and enhancement of amplitude and phase objects. However, only few studies have concentrated on edge enhancement of phase-amplitude objects. Here, we…

光学 · 物理学 2023-11-06 Jigme Zangpo , Tomohiro Kawabe , Hirokazu Kobayashi

In this paper, we introduce a new fractional Musielak-Sobolev space $Ws,{\Phi}x,y({\Omega})$ where ${\Omega}$ is an open subset in RN and we show some density properties of smooth and compactly supported functions in this space.

泛函分析 · 数学 2024-03-20 EL-Houcine Ouali , Azeddine Baalal , Mohamed Berghout

In this paper, the notion of $(L,M)$-fuzzy convex structures is introduced. It is a generalization of $L$-convex structures and $M$-fuzzifying convex structures. In our definition of $(L,M)$-fuzzy convex structures, each $L$-fuzzy subset…

一般拓扑 · 数学 2017-02-14 Fu-Gui Shi , Zhen-Yu Xiu

We continue the research of the relation $\hspace{1mm}\widetilde{\mid}\hspace{1mm}$ on the set $\beta {\mathbb{N}}$ of ultrafilters on ${\mathbb{N}}$, defined as an extension of the divisibility relation. It is a quasiorder, so we see it as…

逻辑 · 数学 2023-06-22 Boris Šobot

With the continuous advancement of processors, modern micro-architecture designs have become increasingly complex. The vast design space presents significant challenges for human designers, making design space exploration (DSE) algorithms a…

机器学习 · 计算机科学 2024-12-17 Hanwei Fan , Ya Wang , Sicheng Li , Tingyuan Liang , Wei Zhang

By using the space of fuzzy numbers, in e.g. [5] have been considered several complete metric spaces (called here {\bf FN}-type spaces) endowed with addition and scalar multiplication, such that the metrics have nice properties but the…

泛函分析 · 数学 2014-07-31 Sorin G. Gal

We revisit the decoupling approach widely used (often intuitively) in nonlinear analysis and optimization and initially formalized about a quarter of a century ago by Borwein & Zhu, Borwein & Ioffe and Lassonde. It allows one to streamline…

最优化与控制 · 数学 2024-03-26 Marián Fabian , Alexander Y. Kruger , Patrick Mehlitz

The combination of higher-order theories and fuzzy logic can be useful in decision-making tasks that involve reasoning across abstract functions and predicates, where exact matches are often rare or unnecessary. Developing efficient…

人工智能 · 计算机科学 2025-07-18 Besik Dundua , Temur Kutsia

The concept of Wavelength Frame Multiplication (WFM) was developed to extend the usable wavelength range on long pulse neutron sources for instruments using pulse shaping choppers. For some instruments, it is combined with a pulse shaping…

仪器与探测器 · 物理学 2013-07-18 D. Nekrassov , C. Zendler , K. Lieutenant