Results 71 to 80 of about 173,375 (235)

Fundamental Challenges, Physical Implementations, and Integration Strategies for Ising Machines in Large‐Scale Optimization Tasks

Advanced Electronic Materials, EarlyView.
Ising machines are emerging as specialized hardware solvers for computationally hard optimization problems. This review examines five major platforms—digital CMOS, analog CMOS, emerging devices, coherent optics, and quantum systems—highlighting physics‐rooted advantages and shared bottlenecks in scalability and connectivity.
Hyunjun Lee, Joon Pyo Kim, Sanghyeon Kim
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

On the Real Spectra of Calogero Model with Complex Coupling

, 2004
We study the eigenvalue problem of the rational Calogero model with the coupling of the inverse-square interaction as a complex number. We show that although this model is manifestly non-invariant under the combined parity and time-reversal symmetry ...
Abromowitz, Ahmed, Bagchi, Basu-Mallick, Basu-Mallick, Basu-Mallick, Basu-Mallick, Basu-Mallick, Basu-Mallick, Bender, Bender, Bender, Bender, Calogero, Calogero, Calogero, Cannata, Case, Dorey, Fernandez, Khare, Kumar S Gupta, Mostafazadeh, Mostafazadeh, Mostafazadeh, Olshanetsky, Olshanetsky, Pijush K Ghosh, Znojil   +28 more
core   +1 more source

Machine Learning‐Enhanced Random Matrix Theory Design for Human Immunodeficiency Virus Vaccine Development

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, Muhammad Zulqarnain Zeb, Muhammad Husnain Zeb, Babar Shabbir   +3 more
wiley   +1 more source

The inverse eigenvalue problem for entanglement witnesses [PDF]

Linear Algebra and its Applications, 2018
We consider the inverse eigenvalue problem for entanglement witnesses, which asks for a characterization of their possible spectra (or equivalently, of the possible spectra resulting from positive linear maps of matrices). We completely solve this problem in the two-qubit case and we derive a large family of new necessary conditions on the spectra in ...
Nathaniel Johnston, Everett Patterson
openaire   +3 more sources

Interpretability and Representability of Commutative Algebra, Algebraic Topology, and Topological Spectral Theory for Real‐World Data

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

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

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

On acceleration of Krylov-subspace-based Newton and Arnoldi iterations for incompressible CFD: replacing time steppers and generation of initial guess

, 2018
We propose two techniques aimed at improving the convergence rate of steady state and eigenvalue solvers preconditioned by the inverse Stokes operator and realized via time-stepping.
AY Gelfgat, AY Gelfgat, AY Gelfgat, B-F Wang, C Beaume, C Beaume, DC Sorensen, EY Tau, G Labrosse, H Vitoshkin, H Vorst van der, HA Dijkstra, JA Scott, K Borońska, K Borońska, L Soucasse, Laurette S. Tuckerman, LG Slejipen, LS Tuckerman, MP Juniper, RJA Janssen, S Acharya, S Xin, S-L Zhang, V Theofilis, WS Edwards, Y Feldman   +26 more
core   +1 more source

Universal Entanglement and an Information‐Complete Quantum Theory

Advanced Physics Research, EarlyView.
This Perspective summarize an informationcomplete quantum theory which describes a fully quantum world without any classical systems and concepts. Here spacetime/gravity, having to be a physical quantum system, universally entangles matter (matter fermions and their gauge fields) as an indivisible trinity, and encodes information‐complete physical ...
Zeng‐Bing Chen
wiley   +1 more source