Results 61 to 70 of about 6,942 (263)

Achievable multiplicity partitions in the inverse eigenvalue problem of a graph

Special Matrices, 2019
Associated to a graph G is a set 𝒮(G) of all real-valued symmetric matrices whose off-diagonal entries are nonzero precisely when the corresponding vertices of the graph are adjacent, and the diagonal entries are free to be chosen.
Adm Mohammad, Fallat Shaun, Meagher Karen, Nasserasr Shahla, Plosker Sarah, Yang Boting   +5 more
doaj   +1 more source

Explaining the Origin of Negative Poisson's Ratio in Amorphous Networks With Machine Learning

Advanced Intelligent Discovery, EarlyView.
This review summarizes how machine learning (ML) breaks the “vicious cycle” in designing auxetic amorphous networks. By transitioning from traditional “black‐box” optimization to an interpretable “AI‐Physics” closed‐loop paradigm, ML is shown to not only discover highly optimized structures—such as all‐convex polygon networks—but also unveil hidden ...
Shengyu Lu, Xiangying Shen
wiley   +1 more source

Deep Learning–Based Extraction of Promising Material Groups and Common Features from High‐Dimensional Data: A Case of Optical Spectra of Inorganic Crystals

Advanced Intelligent Discovery, EarlyView.
We report a novel interpretation method for deep learning models based on feature extraction and clustering. Applying this method to an atomistic line graph neural network (ALIGNN) model trained on optical absorption spectra of 2,681 inorganic compounds obtained from first‐principles calculations, we successfully identify key factors underlying ...
Akira Takahashi, Yu Kumagai, Arata Takamatsu, Fumiyasu Oba   +3 more
wiley   +1 more source

Reconstruction of the potential in the Sturm-Liouville equation with spectral boundary conditions

Journal of Inequalities and Applications
This study examines the Sturm-Liouville equation, focusing on cases where the spectral parameter is included in the boundary conditions. By employing the Hochstadt-Lieberman theorem and the Weyl function, we demonstrate that when the potential is known ...
Yasser Khalili, Nematollah Kadkhoda
doaj   +1 more source

Inverse eigenvalue problems

Linear Algebra and its Applications, 1977
In this paper the author describes two general methods to solve various inverse eigenvalue problems (i.e.p.). The first method is to state an i.e.p. as a system of polynomial equations. By rediscovering the non-linear alternative due to \textit{E. Noether} and \textit{B. L. van der Waerden} [Nachrichten der Gesellschaft der Wissenschaften zu Göttingen,
openaire   +2 more sources

Performance improvement of discrete‐time linear‐quadratic regulators applied to uncertain linear systems using the Tikhonov regularization method

Asian Journal of Control, EarlyView.
Abstract The linear‐quadratic regulator (LQR) problem of optimal control of an uncertain discrete‐time linear system (DTLS) is revisited in this paper from the perspective of Tikhonov regularization. We show that an optimally chosen regularization parameter reduces, compared to the classical LQR, the values of a scalar error function, as well as the ...
Fernando Pazos, Amit Bhaya
wiley   +1 more source

Well-posed Inverse Eigenvalue Problems [PDF]

Geophysical Journal of the Royal Astronomical Society, 2007
Summary Inverse eigenvalue problems associated with self-adjoint differential equations of order two or higher are considered. The question of what kind of data are necessary and sufficient to insure the existence of a unique solution is examined. A method of solution for well-posed inverse eigenvalue problems is then presented.
openaire   +2 more sources

Broad Skills, Smaller Footprints? Generalist CEOs and Firm Biodiversity Exposure

Business Strategy and the Environment, EarlyView.
ABSTRACT We examine whether CEO generalist skills predict firm‐level biodiversity risk exposure, an emerging strategic and financial concern. Using the biodiversity indicator developed based on textual analysis and the General Ability Index, we find that firms led by generalist CEOs are associated with significantly lower disclosed biodiversity risk ...
Hafiz Hoque, Saadia Irfan, Linh Thi Tue Tran   +2 more
wiley   +1 more source

A partial envelope approach for modelling multivariate spatial‐temporal data

Canadian Journal of Statistics, EarlyView.
Abstract In the new era of big data, modelling multivariate spatial‐temporal data is a challenging task due to both the high dimensionality of the features and complex associations among the responses across different locations and time points.
Reisa Widjaja, Wenbo Wu, Victor De Oliveira, Keying Ye   +3 more
wiley   +1 more source

Inverse iteration for the Monge–Ampère eigenvalue problem

Proceedings of the American Mathematical Society, 2020
We present an iterative method based on repeatedly inverting the Monge–Ampère operator with Dirichlet boundary condition and prescribed right-hand side on a bounded, convex domain
Abedin, Farhan, Kitagawa, Jun
openaire   +2 more sources