Results 41 to 50 of about 607,453 (284)

A new result on recovery sparse signals using orthogonal matching pursuit

Statistical Theory and Related Fields, 2022
Orthogonal matching pursuit (OMP) algorithm is a classical greedy algorithm widely used in compressed sensing. In this paper, by exploiting the Wielandt inequality and some properties of orthogonal projection matrix, we obtained a new number of ...
Xueping Chen, Jianzhong Liu, Jiandong Chen   +2 more
doaj   +1 more source

A convergent nonlinear splitting via orthogonal projection [PDF]

, 1984
summary:We study the convergence of the iterations in a Hilbert space $V,x_{k+1}=W(P)x_k, W(P)z=w=T(Pw+(I-P)z)$, where $T$ maps $V$ into itself and $P$ is a linear projection operator.
Mandel, Jan
core   +1 more source

Polarization‐resolved femtosecond Vis/IR spectroscopy tailored for resolving weak signals in biological samples using minimal sample volume

FEBS Open Bio, EarlyView.
Unique biological samples, such as site‐specific mutant proteins, are available only in limited quantities. Here, we present a polarization‐resolved transient infrared spectroscopy setup with referencing to improve signal‐to‐noise tailored towards tracing small signals. We provide an overview of characterizing the excitation conditions for polarization‐
Clark Zahn, Karsten Heyne
wiley   +1 more source

The generation method of orthophoto expansion map of arched dome mural based on three-dimensional fine color model

Heritage Science
Murals carry cultural significance and historical information, and are an important channel for understanding ancient social norms, artistic styles, and religious beliefs.
Chunmei Hu, Yang Wang, Guofang Xia, Yang Han, Xinjian Ma, Guofeng Jing   +5 more
doaj   +1 more source

A Continual Learning Algorithm Based on Orthogonal Gradient Descent Beyond Neural Tangent Kernel Regime

IEEE Access, 2023
Continual learning aims to enable neural networks to learn new tasks without catastrophic forgetting of previously learned knowledge. Orthogonal Gradient Descent algorithms have been proposed as an effective solution to mitigate catastrophic forgetting ...
Da Eun Lee, Kensuke Nakamura, Jae-Ho Tak, Byung-Woo Hong   +3 more
doaj   +1 more source

Spotlight Inversion by Orthogonal Projections

SIAM Journal on Matrix Analysis and Applications
Abstract. Many computational problems involve solving a linear system of equations, although only a subset of the entries of the solution are needed. In inverse problems, where the goal is to estimate unknown parameters from indirect noisy observations, it is not uncommon that the forward model linking the observed variables to the ...
D. Calvetti, N. Hyvönen, V. Kolehmainen, E. Somersalo   +3 more
openaire   +3 more sources

Nonlinear orthogonal projection [PDF]

, 1994
We discuss some properties of an orthogonal projection onto a subset of a Euclidean space.
Dudek, Ewa, Holly, Konstanty
core  

Analysing the significance of small conformational changes and low occupancy states in serial crystallographic data

FEBS Open Bio, EarlyView.
This protocol paper outlines methods to establish the success of a time‐resolved serial crystallographic experiment, by means of statistical analysis of timepoint data in reciprocal space and models in real space. We show how to amplify the signal from excited states to visualise structural changes in successful experiments.
Jake Hill, Yelyzaveta Pulnova, Elke De Zitter, Helen M. Ginn, Briony A. Yorke   +4 more
wiley   +1 more source

A note on free divergence-free vector fields

Comptes Rendus. Mathématique
We exhibit an orthonormal basis of cyclic gradients and a (non-orthogonal) basis of the homogeneous free divergence-free vector field on the full Fock space and determine the dimension of Voiculescu’s free divergence-free vector field of degree $k$ or ...
Ito, Hyuga, Miyagawa, Akihiro
doaj   +1 more source

Quantum-Inspired Uncertainty Quantification

Frontiers in Computer Science, 2022
Reasonable quantification of uncertainty is a major issue of cognitive infocommunications, and logic is a backbone for successful communication. Here, an axiomatic approach to quantum logic, which highlights similarity to and differences to classical ...
Günther Wirsching
doaj   +1 more source