Results 21 to 30 of about 192 (124)
Surrogate Scattering Matrix‐Guided Inverse Design of Nanophotonic Neural Networks
Nanophotonics, Volume 15, Issue 18, 25 September 2026.Surrogate‐guided inverse design separates task learning from electromagnetic realization by transferring a trained passive operator to a fabrication‐aware nanophotonic structure. The electromagnetic cost of each update depends on port count rather than the dataset size.
Azka Maula Iskandar Muda, Uğur Teğin
wiley +1 more source
Advanced Intelligent Systems, Volume 8, Issue 9, September 2026.The phase discontinuity problem—where the cyclic nature of phase angles causes catastrophic errors near the ±π boundary—is a fundamental obstacle in learning‐based reconfigurable intelligent surface (RIS) optimization. A phase‐aware hybrid CNN–LSTM framework resolves this by decomposing phase predictions into sine–cosine components, mapping circular ...
Seda Savaşçı Şen +3 more
wiley +1 more source
Compile‐Once Block Encodings for Masked Similarity‐Transformed Effective Hamiltonians
Advanced Quantum Technologies, Volume 9, Issue 9, September 2026.Composer transforms structured electronic‐structure operators into a reusable quantum‐circuit fabric. Once compiled, the same block‐encoding architecture is re‐dialed through coefficients, rotation angles, and masks to generate similarity‐transformed effective Hamiltonians across related problem instances, avoiding repeated structural recompilation ...
Bo Peng, Yuan Liu, Karol Kowalski
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, 2022 For several classes of mathematical models that yield linear systems, the splitting of the matrix into its Hermitian and skew Hermitian parts is naturally related to properties of the underlying model.
Diab, Malak +2 more
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Pfaffian structure of the eigenvector overlap for the symplectic Ginibre ensemble [PDF]
Akemann G, Byun S-S, Noda K. Pfaffian structure of the eigenvector overlap for the symplectic Ginibre ensemble. Annales Henri Poincaré . 2025.We study the integrable structure and scaling limits of the conditioned eigenvector overlap of the symplectic ...
Noda, Kohei +2 more
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Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic
Communications on Pure and Applied Mathematics, Volume 79, Issue 8, Page 1973-2102, August 2026.ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
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Diagonals and Partial Diagonals of Sum of Matrices
, 2002 Given a matrix A, let (A) denote the orbit of A under a certain group action such as(1)U(m) ⊗ U(n) acting on m × n complex matrices A by (U, V) * A = UAVt,(2)O(m) ⊗ O(n) or SO(m) ⊗ SO(n) acting on m × n real matrices A by (U, V) * A = UAVt,(3)U(n) acting
Chi-Kwong Li, Yiu-Tung Poon
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Generalized companion forms for scalar and matrix polynomials [PDF]
, 2020 Mención Internacional en el título de doctorMatrix polynomials arise frequently associated with Polynomial Eigenvalue Problems (PEPs). The standard way to solve PEPs is by means of (strong) linearizations, which are matrix pencils (namely, matrix ...
Hernando Fuster, Carla
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International Journal for Numerical Methods in Engineering, Volume 127, Issue 14, 30 July 2026.ABSTRACT Numerical anisotropy and dispersion are inherent consequences of spatial discretization in finite element modeling of wave propagation. In two‐dimensional problems, these effects manifest not only as direction‐dependent phase and group velocities but also as angularly dependent numerical band gaps that may entirely suppress wave propagation ...
Wiktor Waszkowiak +3 more
wiley +1 more source
Random Matrix Theory for the Hermitian Wilson Dirac Operator and the chGUE-GUE Transition
, 2011 Akemann G, Nagao T. Random Matrix Theory for the Hermitian Wilson Dirac Operator and the chGUE-GUE Transition. JHEP. 2011;2011(10): 60.We introduce a random two-matrix model interpolating between a chiralHermitian (2n+nu)x(2n+nu) matrix and a second ...
Nagao, Taro +3 more
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