Results 21 to 30 of about 87,905,159 (205)
A Unifying Approach to Self‐Organizing Systems Interacting via Conservation Laws
The article develops a unified way to model and analyze self‐organizing systems whose interactions are constrained by conservation laws. It represents physical/biological/engineered networks as graphs and builds projection operators (from incidence/cycle structure) that enforce those constraints and decompose network variables into constrained versus ...
F. Barrows +7 more
wiley +1 more source
Explaining the Origin of Negative Poisson's Ratio in Amorphous Networks With Machine Learning
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
Numerical results for Saito's uniqueness theorem in inverse scattering theory [PDF]
We consider an inverse scattering problem for the Schrodinger operator in two dimensions. The aim of this work is to discuss some first numerical results on Saito's formula.
Tyni, Teemu
core +1 more source
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 +3 more
wiley +1 more source
Poisson inverse problems [PDF]
In this paper we focus on nonparametric estimators in inverse problems for Poisson processes involving the use of wavelet decompositions. Adopting an adaptive wavelet Galerkin discretization, we find that our method combines the well-known theoretical ...
Antoniadis, Anestis, Bigot, Jérémie
core +1 more source
Quantum‐Mechanical Wave Functions in Singular Potentials: Linear and Nonlinear States
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
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
Controllability and Observability Conditions for Impulsive DAEs on Time Scales
ABSTRACT This paper establishes criteria for controllability and observability in a class of linear time‐invariant impulsive differential‐algebraic equations (DAEs) defined on a time scale. Controllability is defined as the ability to transfer the system state from any initial condition to any desired state within a finite time interval using an ...
Awais Younus +3 more
wiley +1 more source
Broad Skills, Smaller Footprints? Generalist CEOs and Firm Biodiversity Exposure
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 +2 more
wiley +1 more source
A numerical evaluation of solvers for the periodic Riccati differential equation [PDF]
Efficient and accurate structure exploiting numerical methods for solving the periodic Riccati differential equation (PRDE) are addressed. Such methods are essential, for example, to design periodic feedback controllers for periodic control systems ...
Andras Varga +14 more
core +1 more source

