Results 81 to 90 of about 45,837 (216)

Tensor Network Space-Time Spectral Collocation Method for Time-Dependent Convection-Diffusion-Reaction Equations

Mathematics
Emerging tensor network techniques for solutions of partial differential equations (PDEs), known for their ability to break the curse of dimensionality, deliver new mathematical methods for ultra-fast numerical solutions of high-dimensional problems ...
Dibyendu Adak, Duc P. Truong, Gianmarco Manzini, Kim Ø. Rasmussen, Boian S. Alexandrov   +4 more
doaj   +1 more source

Image and video analysis using graph neural network for Internet of Medical Things and computer vision applications

CAAI Transactions on Intelligence Technology, EarlyView.
Abstract Graph neural networks (GNNs) have revolutionised the processing of information by facilitating the transmission of messages between graph nodes. Graph neural networks operate on graph‐structured data, which makes them suitable for a wide variety of computer vision problems, such as link prediction, node classification, and graph classification.
Amit Sharma, Ashutosh Sharma, Alexey Tselykh, Alexander Bozhenyuk, Byung‐Gyu Kim   +4 more
wiley   +1 more source

On Quasi-Chebyshev Subspaces of Banach Spaces

Journal of Approximation Theory, 2000
The author considers a sort of best approximation property in Banach space \(X\) as follows: Let \(W\) be a linear subspace of \(X\). A point \(y_0\in W\) is said to be a best approximation for \(x\in X\) if \[ \|x- y_0\|= d(x, W)= \inf\{\|x-y\|: y\in W\}.
openaire   +1 more source

Novel Image Encryption Scheme Based on Chebyshev Polynomial and Duffing Map

The Scientific World Journal, 2014
We present a novel image encryption algorithm using Chebyshev polynomial based on permutation and substitution and Duffing map based on substitution.
Borislav Stoyanov, Krasimir Kordov
doaj   +1 more source

Approximate solutions for solving nonlinear variable-order fractional Riccati differential equations

Nonlinear Analysis, 2019
In this manuscript, we introduce a spectral technique for approximating the variable-order fractional Riccati equation (VO-FRDEs). Firstly, the solution and its space fractional derivatives is expanded as shifted Chebyshev polynomials series.
Eid H. Doha, Mohamed A. Abdelkawy, Ahmed Z.M. Amin, Dumitru Baleanu   +3 more
doaj   +1 more source

A Dynamic Correlation‐Information‐Fusion‐Based Spatiotemporal Network for Traffic Flow Forecasting

CAAI Transactions on Intelligence Technology, EarlyView.
ABSTRACT Traffic Flow Forecasting (TFF) is a foundational task in the development of Intelligent Transport Systems (ITSs). The primary challenge is to undertake a comprehensive exploration of the intrinsic dynamic spatiotemporal correlations of the road network, unveiling the long‐term evolutionary traffic trends.
Dawen Xia, Zhan Lin, Xingyan Wang, Ruixi Huang, Jinhui Hu, Yang Hu, Huaqing Li   +6 more
wiley   +1 more source

Chebyshev centers that are not farthest points

, 2016
In this paper we address the question whether in a given Banach space, a Chebyshev center of a nonempty bounded subset can be a farthest point of the set. Our exploration reveals that the answer depends on the convexity properties of the Banach space. We
Kadets, Vladimir, Paul, Kallol, Ray, Anubhab, Sain, Debmalya   +3 more
core  

Strong stability and strong quasistability of vector trajectorial problem of lexicographic optimization [PDF]

Computer Science Journal of Moldova, 1998
Two types of stability of the lexicographic set for the multicriteria problem on a system of subsets of a finite set with the vector criterion of the most general kind are investigated.
V.A. Emelichev, R.A. Berdysheva
doaj  

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

Computer 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, M. Ott, J. Macho, M. Wimmer, S. Ohrhallinger   +4 more
wiley   +1 more source

Miners' Reward Elasticity and Stability of Competing Proof‐of‐Work Cryptocurrencies

International Economic Review, EarlyView.
ABSTRACT Proof‐of‐Work cryptocurrencies employ miners to sustain the system through algorithmic reward adjustments. We develop a stochastic model of the multicurrency mining and identify conditions for stable transaction speeds. Bitcoin's algorithm requires hash supply elasticity <$<$1 for stability, while ASERT remains stable for any elasticity and ...
Kohei Kawaguchi, Junpei Komiyama, Shunya Noda   +2 more
wiley   +1 more source