Results 51 to 60 of about 12,661,880 (175)
Analysis of Eigenvalue Clustering Leads to Optimal Scaling in Numerical Radiative Transfer
ABSTRACT We consider a multidimensional polychromatic radiative transfer (RT) problem, accounting for scattering processes in a general form, that is, anisotropic (dipole) scattering with partial frequency redistribution. Given a discrete ordinates (SN$$ {S}_N $$) discretization, we report the corresponding matrix structures, depending on the model and
Pietro Benedusi +3 more
wiley +1 more source
On Some Extended Block Krylov Based Methods for Large Scale Nonsymmetric Stein Matrix Equations
In the present paper, we consider the large scale Stein matrix equation with a low-rank constant term A X B − X + E F T = 0 . These matrix equations appear in many applications in discrete-time control problems, filtering and image restoration ...
Abdeslem Hafid Bentbib +2 more
doaj +1 more source
Quantum Spectral Clustering Framework via Compact Circuit Structures
Can a quantum computer cluster data without ever reading the full kernel? This work shows that compact, parameterized circuits estimate the Laplacian quadratic forms directly and perform clustering, without explicitly constructing the full quantum fidelity‐kernel matrix.
Hyeong‐gyu Kim +2 more
wiley +1 more source
The latest version of the code.Time-evolution of a wavefunction using a Krylov subspace ...
Van Nieuwenburg, Evert
core +1 more source
Abstract High‐resolution crustal‐scale seismic imaging from long‐offset ocean‐bottom seismometer (OBS) data using full‐waveform inversion (FWI) remains challenging because the large number of propagated wavelengths and waveform complexity make the inversion highly sensitive to time‐shift errors (cycle skipping). To mitigate this nonlinearity, we assess
Gaoshan Guo +2 more
wiley +1 more source
Krylov complexity of supersymmetric SYK models
We study the effect of supersymmetry breaking on Krylov complexity in the N = 2 $$ \mathcal{N}=2 $$ SYK model under irrelevant and mass deformations of the Hamiltonian. The irrelevant deformation breaks N = 2 $$ \mathcal{N}=2 $$ supersymmetry down to N =
James Chryssanthacopoulos, David Vegh
doaj +1 more source
In this work, we propose a nonlinear dynamic inverse solution to the diffusion problem based on Krylov Subspace Methods with spatiotemporal constraints. The proposed approach is applied by considering, as a forward problem, a 1D diffusion problem with a ...
Luis Fernando Alvarez-Velasquez +1 more
doaj +1 more source
Circulant preconditioners for mean curvature-based image deblurring problem
The mean curvature-based image deblurring model is widely used to enhance the quality of the deblurred images. However, the discretization of the associated Euler–Lagrange equations produces a nonlinear ill-conditioned system which affects the ...
Shahbaz Ahmad, Faisal Fairag
doaj +1 more source
Multiphysics Simulation of Positive Streamer Discharge in Air Using Finite Element Method
ABSTRACT Streamer discharge modeling by means of the Finite Element Method (FEM) presents a formidable challenge in computational physics due to its nonlinear and convection‐dominated characteristics that cause numerical instabilities, including negative densities of charged particles.
Hasupama Jayasinghe +3 more
wiley +1 more source
Developing Hessian–Free Second–Order Adversarial Examples for Adversarial Training
Recent studies show that deep neural networks (DNNs) are extremely vulnerable to elaborately designed adversarial examples. Adversarial training, which uses adversarial examples as training data, has been proven to be one of the most effective methods of
Qian Yaguan +5 more
doaj +1 more source

