Results 141 to 150 of about 2,825,153 (362)
A General Approach to Dropout in Quantum Neural Networks
Advanced Quantum Technologies, EarlyView., 2023 Randomly dropping artificial neurons and all their connections in the training phase reduces overfitting issues in classical neural networks, thus improving performances on previously unseen data. The authors introduce different dropout strategies applied to quantum neural networks, learning models based on parametrized quantum circuits.
Francesco Scala +3 more
wiley +1 more source
Scattering forms, worldsheet forms and amplitudes from subspaces
Journal of High Energy Physics, 2018 We present a general construction of two types of differential forms, based on any (n−3)-dimensional subspace in the kinematic space of n massless particles.
Song He +3 more
doaj +1 more source
Algebraic Differential Characters [PDF]
arXiv, 1996 We give a construction of algebraic differential characters, receiving classes of algebraic bundles with connection, lifitng the Chern-Simons invariants defined with S. Bloch, the classes in the Chow group and the analytic secondary invariants if the variety is defined over the field of complex numbers.
arxiv
Analysis of density matrix embedding theory around the non‐interacting limit
Communications on Pure and Applied Mathematics, EarlyView.Abstract This article provides the first mathematical analysis of the Density Matrix Embedding Theory (DMET) method. We prove that, under certain assumptions, (i) the exact ground‐state density matrix is a fixed‐point of the DMET map for non‐interacting systems, (ii) there exists a unique physical solution in the weakly‐interacting regime, and (iii ...
Eric Cancès +4 more
wiley +1 more source
T-duality of emergent gravities on nilmanifolds
Journal of High Energy PhysicsWe study the transport of generalized metrics between topological T-dual nil-manifolds through a Lie algebraic point of view. Emergent gravities are generalized metrics with symplectic B-fields.
Raju Roychowdhury, Leonardo Soriani
doaj +1 more source
Stokes polytopes: the positive geometry for ϕ 4 interactions
Journal of High Energy Physics, 2019 In a remarkable recent work [1], the amplituhedron program was extended to the realm of non-supersymmetric scattering amplitudes. In particular it was shown that for tree-level planar diagrams in massless ϕ 3 theory (and its close cousin, bi-adjoint ϕ 3 ...
Pinaki Banerjee +2 more
doaj +1 more source
Triangle diagram, distance geometry and Symmetries of Feynman Integrals
Journal of High Energy Physics, 2020 We study the most general triangle diagram through the Symmetries of Feynman Integrals (SFI) approach. The SFI equation system is obtained and presented in a simple basis.
Barak Kol, Subhajit Mazumdar
doaj +1 more source
New examples (and counterexamples) of complete finite-rank differential varieties [PDF]
arXiv, 2015 Differential algebraic geometry seeks to extend the results of its algebraic counterpart to objects defined by differential equations. Many notions, such as that of a projective algebraic variety, have close differential analogues but their behavior can vary in interesting ways.
arxiv
First‐order Sobolev spaces, self‐similar energies and energy measures on the Sierpiński carpet
Communications on Pure and Applied Mathematics, EarlyView.Abstract For any p∈(1,∞)$p \in (1,\infty)$, we construct p$p$‐energies and the corresponding p$p$‐energy measures on the Sierpiński carpet. A salient feature of our Sobolev space is the self‐similarity of energy. An important motivation for the construction of self‐similar energy and energy measures is to determine whether or not the Ahlfors regular ...
Mathav Murugan, Ryosuke Shimizu
wiley +1 more source
Intersection numbers, polynomial division and relative cohomology
Journal of High Energy PhysicsWe present a simplification of the recursive algorithm for the evaluation of intersection numbers for differential n-forms, by combining the advantages emerging from the choice of delta-forms as generators of relative twisted cohomology groups and the ...
Giacomo Brunello +5 more
doaj +1 more source