IMPLICIT REGULARISATION TECHNIQUE: CALCULATION OF THE TWO-LOOP -THEORY β-FUNCTIONgeneralized KdV equationoperator splittingnumerical examplesWe propose an implicit regularisation scheme. The main advantage isthat since no explicit use of a regulator is made, one can inprinciple avoid undesirable symmetry ...
To solve this kind of problem, an approximate calculation method with high accuracy will be provided in this paper. Specifically, based on the quadrature method and taking the constraint function of the boundary as the convergence criterion, both the integral limits satisfying the physical ...
Additionally, nonlinearity causes [K] to become a function of displacement. As such, updating or factorizing the global stiffness matrix [K] before inverting it to [K]−1 for computing the nodal displacements needed before the next time step can be proceed is computationally intensive. For ...
The solutions of Problems 2 and 3 are all in the form of a triangular function. This is just in line with EF methods. So, ISSEFMRKN2 performs very well. 6 Conclusions In this paper a two-stage symmetric, symplectic IEFMRKN integrator has been derived. Like the existing EFRKN ...
Here, for a gradient-based optimization technique, the gradient E of the loss function has to be calculated. The corresponding theory is based on the implicit function theorem, see [6, 9], and [1]. An efficient numerical approximation of z in Eq. (1) is also rather complex, for ...
Historical averaging. Update the loss function to incorporate history. One-sided label smoothing. Scaling target values for the discriminator away from 1.0. Virtual batch normalization. Calculation of batch norm statistics using a reference batch of real images. ...
2 Related work 2.1 Hierarchical implicit volume modeling Given a continuous scalar function f : R3 → R+, we can define a volume V: V = p ∈ R3 : f (p) ≥ viso (1) where viso is called the iso-value. We call V an implicit volume. The surface S of this volume is defined by...
Function get value (t) {var dX = 100; var vX = 1000; var t0 = 1.5 if (t < 2.0) return dX/2 × (1 + m.tanh (2 × vX × (t × t0)/dX)); else return dX;}. Direction of the 3-D vitreous cavity Figure 1 shows the resting positi...
Further development of the λ-titration method (Khandogin and Brooks, 2006) includes a coupling of continuous titration with replica exchange method and an improved GBSW solvent model with salt-screening Debye function for energy and force calculation. The REX protocol enables to enhance sampling of...
A. Cherchiglia, Two-loop gauge coupling β-function in a four-dimensional framework: the Standard Model case. SciPost Phys. Proc. 7, 043 (2022) Google Scholar A.L. Cherchiglia, M. Sampaio, B. Hiller, A.P.B. Scarpelli, Subtleties in the beta function calculation of N=1 supersymmetri...