Topological data analysis and topological deep learning beyond persistent homology: a review. [PDF]
Su Z +7 more
europepmc +1 more source
Trust‐region filter algorithms utilizing Hessian information for gray‐box optimization
Abstract Optimizing industrial processes often involves gray‐box models that couple algebraic glass‐box equations with black‐box components lacking analytic derivatives. Such systems challenge derivative‐based solvers. The classical trust‐region filter (TRF) algorithm provides a robust framework but requires extensive parameter tuning and numerous ...
Gul Hameed +4 more
wiley +1 more source
<i>P</i>-adic <i>L</i>-functions for GL ( 3 ). [PDF]
Loeffler D, Williams C.
europepmc +1 more source
A trust‐region funnel algorithm for gray‐box optimization
Abstract Gray‐box optimization, where parts of optimization problems are represented by algebraic models while others are treated as black‐box models lacking analytic derivatives, remains a challenge. Trust‐region (TR) methods provide a robust framework for gray‐box problems through local reduced models (RMs) for black‐box components, but they are ...
Gul Hameed +4 more
wiley +1 more source
Inf-sup stable space-time Local Discontinuous Galerkin method for the heat equation. [PDF]
Gómez S, Perinati C, Stocker P.
europepmc +1 more source
Countable Basis for Free Electromagnetic Fields
ABSTRACT Polychromatic electromagnetic fields are expanded as integrals over monochromatic fields, such as plane waves, multipolar fields, or Bessel beams. However, monochromatic fields do not belong to the Hilbert space of free Maxwell fields, since their norms diverge.
Ivan Fernandez‐Corbaton
wiley +1 more source
On equivalence of algebraic and finite element formulations of prestressed bar structures. [PDF]
Pełczyński J.
europepmc +1 more source
Moderate Deviation Principles for Lacunary Trigonometric Sums
ABSTRACT Classical works of Kac, Salem, and Zygmund, and Erdős and Gál have shown that lacunary trigonometric sums despite their dependency structure behave in various ways like sums of independent and identically distributed random variables. For instance, they satisfy a central limit theorem (CLT) and a law of the iterated logarithm.
Joscha Prochno, Marta Strzelecka
wiley +1 more source
Adjoint <i>L</i>-functions, congruence ideals, and Selmer groups over GL n. [PDF]
Fong HL.
europepmc +1 more source
Deforming the Double‐Scaled SYK and Reaching the Stretched Horizon From Finite Cutoff Holography
ABSTRACT We study the properties of the double‐scaled SYK (DSSYK) model under chord Hamiltonian deformations based on finite cutoff holography for general dilaton gravity theories with Dirichlet boundaries. The formalism immediately incorporates a lower‐dimensional analog of TT¯(+Λ2)$\text{T}\overline{\text{T}}(+\Lambda _2)$ deformations, denoted T2 ...
Sergio E. Aguilar‐Gutierrez
wiley +1 more source

