Results 51 to 60 of about 17,709,774 (182)

ANPGT: Towards Adaptive Node Property Extraction and Integration

open access: yesCAAI Transactions on Intelligence Technology, EarlyView.
ABSTRACT Graph transformers (GTs) with elaborate positional/structural encodings (PEs/SEs) have excelled in graph representation learning, especially in graph‐level tasks. However, their potential in large‐scale node classification remains untapped for several reasons: (i) Current PEs/SEs are insufficient in modelling large‐scale real‐world graphs ...
Qin Chen   +4 more
wiley   +1 more source

Statement and solution of a generalized Chebyshev problem. I

open access: yes, 2019
The paper gives a review of the research performed at the department of theoretical and applied mechanics for many years and devoted to solving the generalized Chebyshev problems.
Yushkov, Mikhail P.
core   +1 more source

Determinants of Tridiagonal and Circulant Matrices Special Form by Chebyshev Polynomials

open access: yesJTAM (Jurnal Teori dan Aplikasi Matematika)
Along with the development of science, many researchers have found new methods to determine the determinant of a matrix of more than three orders.
Nurliantika Nurliantika   +2 more
doaj   +1 more source

INVESTIGATION OF THE KOLMOGOROV-WIENER FILTER FOR CONTINUOUS FRACTAL PROCESSES ON THE BASIS OF THE CHEBYSHEV POLYNOMIALS OF THE FIRST KIND

open access: yesInformatyka, Automatyka, Pomiary w Gospodarce i Ochronie Środowiska, 2020
This paper is devoted to the investigation of the Kolmogorov-Wiener filter weight function for continuous fractal processes with a power-law structure function.
Vyacheslav Gorev   +2 more
doaj   +1 more source

NAADF: Globally Illuminated Voxel Worlds Accelerated with Nested Axis‐Aligned Distance Fields

open access: yesComputer Graphics Forum, EarlyView.
Abstract Achieving realistic rendering of 3D scenes in real time using path tracing is challenging due to the high sample count required, with ray tracing as the bottleneck. Focusing on voxels as a geometry representation offers significant opportunities for optimizations, especially for tracing the rays, but also for computing the samples.
A. Ulschmid   +4 more
wiley   +1 more source

Consensus Acceleration in Multiagent Systems with the Chebyshev Semi-Iterative Method

open access: yes, 2011
We consider the fundamental problem of reaching consensus in multiagent systems; an operation required in many applications such as, among others, vehicle formation and coordination, shape formation in modular robotics, distributed target tracking, and ...
Jennings, Nick   +2 more
core   +1 more source

Applications of Chebyshev Polynomials in Numerical Computation [PDF]

open access: yes, 2018
This study is concerned with Chebyshev polynomials and their applications in numerical computation. The basic properties of the first kind Chebyshev polynomials in the interval [-1, 1], are used extensively. Three different applications of the first kind
Azkar Abdelrahim Mohieldeen Abdelrahim
core   +1 more source

Parallel Vectors Extraction using Bézier Clipping

open access: yesComputer Graphics Forum, EarlyView.
Abstract In this paper, we propose a novel local feature extraction algorithm for the parallel vectors (PV) operator. Our method is based on Bézier clipping, which is a bracketing‐based root finding method that is commonly‐used in computer‐aided geometric design.
Nico Daßler, Tobias Günther
wiley   +1 more source

On the weighted trigonometric Bojanov - Chebyshev extremal problem

open access: yes, 2023
We investigate the weighted Bojanov-Chebyshev extremal problem for trigonometric polynomials, that is, the minimax problem of minimizing kT kw,C(T) , where w is a sufficiently nonvanishing, upper bounded, nonnegative weight function, the norm is the ...
Nagy, Béla, Révész, Szilárd
core   +2 more sources

Fast Nodal Hessian Computation for Peridynamic Fracture Simulation

open access: yesComputer Graphics Forum, EarlyView.
A fast, exact nodal Hessian computation for Non‐Ordinary State‐Based Peridynamics is introduced through analytical simplification and a warp‐centric GPU strategy. The method accelerates preconditioned solvers and Vertex Block Descent, enabling interactive fracture simulation with physical accuracy.
Yuxiong Qin   +2 more
wiley   +1 more source

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