Results 121 to 130 of about 4,845 (297)

Structured low-rank approximation and its applications [PDF]

, 2008
Fitting data by a bounded complexity linear model is equivalent to low-rank approximation of a matrix constructed from the data. The data matrix being Hankel structured is equivalent to the existence of a linear time-invariant system that fits the data ...
Markovsky, Ivan
core  

Intrinsically Design‐Rule‐Compliant Nanophotonic Inverse Design via Learned Generative Manifolds

Laser &Photonics Reviews, EarlyView.
A generative reparameterization framework for nanophotonic inverse design is introduced, restricting optimization to a learned manifold of design‐rule‐compliant geometries. Unlike conventional penalty‐based approaches, fabrication constraints are encoded intrinsically within the design representation.
Bahrem Serhat Danis, Demet Baldan Desdemir, Enes Akcakoca, Zeynep Ipek Yanmaz, Gulzade Polat, Ahmet Onur Dasdemir, Aytug Aydogan, Abdullah Magden, Emir Salih Magden   +8 more
wiley   +1 more source

A wavelet subspace method for real-time face tracking [PDF]

, 2004
. In this article we present a new method for visual face tracking that is carried out in wavelet subspace. Firstly, a wavelet representation for the face template is created, which spans a low dimensional subspace of the image space.
Rogerio S. Feris, Volker Krueger
core  

Diffraction‐Free Natural Optical Skyrmions and Their Subwavelength Confinement Around Vortices

Laser &Photonics Reviews, EarlyView.
ABSTRACT Diffraction causes waves to spread out as they propagate freely. The tighter the lateral confinement, the faster the spreading. Past research on how to suppress diffraction has been based on wave engineering and has led so far to idealized waves that, in real settings, eventually diffract.
Nilo Mata‐Cervera, Deepak K. Sharma, Ramon Paniagua‐Dominguez, Yijie Shen, Miguel A. Porras   +4 more
wiley   +1 more source

Modal Parameter Identification of a Structure Under Earthquake via a Wavelet-Based Subspace Approach

Applied Sciences
This paper introduces a novel wavelet-based methodology for identifying the modal parameters of a structure in the aftermath of an earthquake. Our proposed approach seamlessly combines a subspace method with a stationary wavelet packet transform.
Wei-Chih Su, Liane-Jye Chen, Chiung-Shiann Huang   +2 more
doaj   +1 more source

Visibility and Intersection Density for Boolean Models in Hyperbolic Space

Mathematische Nachrichten, EarlyView.
ABSTRACT For Poisson particle processes in hyperbolic space we introduce and study concepts analogous to the intersection density and the mean visible volume, which were originally considered in the analysis of Boolean models in Euclidean space. In particular, we determine a necessary and sufficient condition for the finiteness of the mean visible ...
Tillmann Bühler, Daniel Hug, Christoph Thäle   +2 more
wiley   +1 more source

A new method for computing the stable invariant subspace of a real Hamiltonian matrix or: Breaking Van Loan's curse? [PDF]

, 1997
A new backward stable, structure preserving method of complexity O(n 3 ) is presented for computing the stable invariant subspace of a real Hamiltonian matrix and the stabilizing solution of the continuous-time algebraic Riccati equation.
Benner, P., Peter Benner, Hongguo Xu, Xu., H., Volker Mehrmann, Mehrmann, V.   +5 more
core   +1 more source

Assembling Engagement With Autonomy and Language ‐ A Neuroscientific Case Study With Digital Companions

Psychology &Marketing, EarlyView.
ABSTRACT This study addresses the need to understand human engagement with empathic Generative Artificial Intelligence (GenAI) digital companions (DC), as these systems increasingly fulfil social and emotional roles in daily life. Motivated by the rapid adoption of DC technologies and their potential to reshape human–AI relationships, the study applies
Aitor Ezker‐Galech, Raquel Chocarro, Mónica Cortiñas, Álvaro Saavedra   +3 more
wiley   +1 more source

Equivalences of Nonlinear Higher Order Fractional Differential Equations With Integral Equations

Mathematical Methods in the Applied Sciences, Volume 48, Issue 6, Page 6930-6942, April 2025.
ABSTRACT Equivalences of initial value problems (IVPs) of both nonlinear higher order (Riemann–Liouville type) fractional differential equations (FDEs) and Caputo FDEs with the corresponding integral equations are studied in this paper. It is proved that the nonlinearities in the FDEs can be L1$$ {L}^1 $$‐Carathéodory with suitable conditions.
Kunquan Lan
wiley   +1 more source

Structured invariant subspace and decomposition of systems with time delays and uncertainties [PDF]

This article discusses invariant subspaces of a matrix with a given partition structure. The existence of a nontrivial structured invariant subspace is equivalent to the possibility of decomposing the associated system with multiple feedback blocks such ...
Phan-Van, Huan, Gu, Keqin
core   +2 more sources