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Spectral Decomposition of Chemical Semantics for Activity Cliffs‐Aware Molecular Property Prediction
PrismNet mimics chemical intuition by functioning as a computational prism, refracting molecular graphs into complementary semantic views and spectral frequencies. This dual‐decomposition strategy effectively captures both global topologies and subtle “activity cliff” perturbations.
Chaoyang Xie +9 more
wiley +1 more source
The interplay between magnetic ordering and crystal electric field (CEF) excitations plays a pivotal role in defining the low‐energy electrodynamics of quantum materials. By probing the temperature‐dependent THz conductivity in a rare‐earth‐based metallic ferromagnet, we uncover a microscopic connection between localized and itinerant electrons ...
Payel Shee +11 more
wiley +1 more source
Emergent Homeostasis and Degeneracy From Multi‐Dimensional Attractors
Biological systems maintain homeostasis—stability to perturbations. Control theory (right) describes this as designed regulatory circuits that maintain set points. We propose that homeostasis can emerge from collective dynamics that generate stable attracting manifolds (left).
Kuheli Biswas +2 more
wiley +1 more source
A recursive condition for the inverse problem of eigenvalue for nonnegative symmetric matrices
Elvis Ronald Valero +2 more
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Structured inverse eigenvalue problems
Acta Numerica, 2002An inverse eigenvalue problem concerns the reconstruction of a structured matrix from prescribed spectral data. Such an inverse problem arises in many applications where parameters of a certain physical system are to be determined from the knowledge or expectation of its dynamical behaviour.
Moody T. Chu, Gene H. Golub
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Journal of Mathematical Physics, 2016
In this article we consider inverse eigenvalue problems for the Schrödinger operator on a finite interval. We extend and strengthen previously known uniqueness theorems. A partially known potential is identified by some sets of eigenvalues and norming constants.
Miklós Horváth, Orsolya Sáfár
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In this article we consider inverse eigenvalue problems for the Schrödinger operator on a finite interval. We extend and strengthen previously known uniqueness theorems. A partially known potential is identified by some sets of eigenvalues and norming constants.
Miklós Horváth, Orsolya Sáfár
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SIAM Review, 1998
In the inverse eigenvalue problem, one has to construct a matrix with a (partially) given spectrum. The problem appears in many different forms and in many different applications. Usually the problem is constrained in the sense that the matrix \(M\) that one wants to find has to be in a certain class. For example it should be of the form \(M=A+X\) or \(
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In the inverse eigenvalue problem, one has to construct a matrix with a (partially) given spectrum. The problem appears in many different forms and in many different applications. Usually the problem is constrained in the sense that the matrix \(M\) that one wants to find has to be in a certain class. For example it should be of the form \(M=A+X\) or \(
openaire +1 more source
Inverse matrix eigenvalue problems
Journal of Mathematical Sciences, 2000zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ikramov, Kh. D., Chugunov, V. N.
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Solving inverse Pareto eigenvalue problems
Optimization Letters, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Samir Adly, Manh Hung Le
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Inverse Problems on the Least Eigenvalue
Results in Mathematics, 2013The paper deals with generalizations of the classical Ambarzumyan theorem, which, as is well-known, can be formulated in the following way: if the first (i.e., smallest) eigenvalue \(\lambda_0\) of the Sturm-Liouville operator \[ Ay:=-y''+q(x)y, \quad ...
Yang, Jie, Yang, Chuan-Fu
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