Results 81 to 90 of about 448,247 (335)
The Pareto Eigenvalue Problem [PDF]
, 2023 The Pareto eigenvalue problem has attracted the attention of researchers from a variety of different backgrounds. While it can be stated easily, it has proven to be challenging to determine some of its basic properties.
Kielstra, Thomas
core
Advanced Intelligent Discovery, EarlyView.This study integrates random matrix theory (RMT) and principal component analysis (PCA) to improve the identification of correlated regions in HIV protein sequences for vaccine design. PCA validation enhances the reliability of RMT‐derived correlations, particularly in small‐sample, high‐dimensional datasets, enabling more accurate detection of ...
Mariyam Siddiqah +3 more
wiley +1 more source
Computation of H-infinity norm of linear discrete-time periodic systems [PDF]
, 2006 We propose an efficient an numerically reliable procedure for the computation of H-infinity norm of discrete-time linear periodic systems. The new procedure is general being applicable to both standard as well as descriptor periodic systems with time ...
Varga, Andreas
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The Symetric Eigenvalue Problem [PDF]
, 2022 U ovom radu ćemo se baviti simetričnim svojstvenim problemom. U uvodu ćemo navesti osnovne definicije vezane za svojstveni problem kao što su definicija svojstvene vrijednosti i vektora, karakteristični polinom i neke od njihovih karakteristika.
Arbutina, Andrea
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A Unifying Approach to Self‐Organizing Systems Interacting via Conservation Laws
Advanced Intelligent Discovery, EarlyView.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
Matrix nearness problems and eigenvalue optimization
CoRRThis book is about solving matrix nearness problems that are related to eigenvalues or singular values or pseudospectra. These problems arise in great diversity in various fields, be they related to dynamics, as in questions of robust stability and robust control, or related to graphs, as in questions of clustering and ranking.
Nicola Guglielmi, Christian Lubich
openaire +2 more sources
Advanced Intelligent Discovery, EarlyView.This article investigates how persistent homology, persistent Laplacians, and persistent commutative algebra reveal complementary geometric, topological, and algebraic invariants or signatures of real‐world data. By analyzing shapes, synthetic complexes, fullerenes, and biomolecules, the article shows how these mathematical frameworks enhance ...
Yiming Ren, Guo‐Wei Wei
wiley +1 more source
Mathematical and Computational Applications, 2019 In nuclear engineering, the λ -modes associated with the neutron diffusion equation are applied to study the criticality of reactors and to develop modal methods for the transient analysis. The differential eigenvalue problem that needs to be
Amanda Carreño +5 more
doaj +1 more source
Effective theories of finite volume QCD [PDF]
, 2008 Finite volume QCD close to the chiral limit cannot be described by chiral Perturbation Theory using the usual p-expansion when the correlation length of pions becomes larger than the size of the box.
BASILE, FRANCESCO
core
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