On duality of color and kinematics in (A)dS momentum space
Journal of High Energy Physics, 2021 We explore color-kinematic duality for tree-level AdS/CFT correlators in momentum space. We start by studying the bi-adjoint scalar in AdS at tree-level as an illustrative example.
Soner Albayrak +2 more
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Non-Renormalization Theorems in Non-Renormalizable Theories [PDF]
, 1998 A perturbative non-renormalization theorem is presented that applies to general supersymmetric theories, including non-renormalizable theories in which the $\int d^2\theta$ integrand is an arbitrary gauge-invariant function $F(\Phi,W)$ of the chiral ...
E. Witten +9 more
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Using Neural Networks for Fast Numerical Integration and Optimization
IEEE Access, 2020 We present a novel numerical integration technique, Neural Network Integration, or NNI, where shallow neural network design is used to approximate an integrand function within a bounded set. This function approximation is such that a closed-form solution
Steffan Lloyd +2 more
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Rearrangement inequalities for functionals with monotone integrands
Journal of Functional Analysis, 2006 20 pages.
Burchard, Almut, Hajaiej, Hichem
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Epi-Convergence of Expectation Functions under Varying Measures and Integrands
, 2022 For expectation functions on metric spaces, we provide sufficient conditions for epi-convergence under varying probability measures and integrands, and examine applications in the area of sieve estimators, mollifier smoothing, PDE-constrained optimization, and stochastic optimization with expectation constraints.
Feinberg, Eugene A. +2 more
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The Partition Function in the Four-Dimensional Schwarz-type Topological Half-Flat Two-Form Gravity [PDF]
, 1996 We derive the partition functions of the Schwarz-type four-dimensional topological half-flat 2-form gravity model on K3-surface or T^4 up to on-shell one-loop corrections.
Abe, Mitsuko
core +4 more sources
Bilevel Training Schemes in Imaging for Total Variation--Type Functionals with Convex Integrands
SIAM Journal on Imaging Sciences, 2022 27 pages, 6 ...
Valerio Pagliari +3 more
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Regularity for nonlinear elliptic equations and systems
Atti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali, 2020 We study the regularity of weak solutions to the elliptic system in divergence form divA(x, Du)=0 in an open set Ω of R^n, n≥2. The vector field A(x.ξ), A: Ω×R^(m×n)→R^(m×n), has a variational nature in the sense that A(x,ξ)= Dξ f(x,ξ), where f:Ω×R^(m×n)→
Paolo Marcellini
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Legendre-type integrands and convex integral functions
, 2012 31 ...
Borwein, Jonathan M., Yao, Liangjin
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Quadrature error functional expansions for the simplex when the integrand function has singularities at vertices [PDF]
Mathematics of Computation, 1980 In a previous paper by Lyness, an asymptotic expansion for the quadrature error functional for the n-dimensional simplex, valid when the integrand is an analytic function, was given. In this paper we develop the analogue of this result to cover the cases in which the integrand function has singularities of a specified nature at one or more vertices of ...
Lyness, J. N., Monegato, G.
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