Results 61 to 70 of about 5,971,680 (301)

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

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

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

Quantum‐Mechanical Wave Functions in Singular Potentials: Linear and Nonlinear States

Advanced Physics Research, EarlyView.
The attractive singular potential −1/r2$-1/r^2$ gives rise to the quantum collapse in the 3D linear Schroedinger equation. The article summarizes theoretical results demonstrating suppression of the collapse and creation of the missing ground state (GS) in a gas of bosonic particles, carrying an electric dipole moment, which are pulled to the central ...
Hidetsugu Sakaguchi, Boris A. Malomed
wiley   +1 more source

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

A Note on the Symmetric Recursive Inverse Eigenvalue Problem [PDF]

SIAM Journal on Matrix Analysis and Applications, 2003
In a recent paper by Arav et al, SIAM J. Matrix Anal. and Appl., 22:392--412, 2000 the recursive inverse eigenvalue problem for matrices was introduced. In this paper we examine an open problem on the existence of symmetric positive semidefinite solutions that was posed there.
Raphael Loewy, Volker Mehrmann
openaire   +2 more sources

Solutions to an inverse monic quadratic eigenvalue problem [PDF]

, 2011
Given n+1 pairs of complex numbers and vectors (closed under complex conjugation), the inverse quadratic eigenvalue problem is to construct real symmetric or anti-symmetric matrix C and real symmetric matrix K of size n×n so that the quadratic pencil Q(λ)
Dai, Hua, Yuan, Yongxin, Yongxin Yuan, Hua Dai   +3 more
core   +1 more source

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

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

On a class of inverse quadratic eigenvalue problem

Journal of Computational and Applied Mathematics, 2011
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Yongxin Yuan, Hua Dai
openaire   +2 more sources