Replicator dynamics analysis of representative S-MIGs on 2-dimensional simplex.Isamu, OkadaHitoshi, YamamotoFujio, ToriumiTatsuya, Sasaki
Unlike simplex methods, interior-point algorithms (IPAs) find the optimal solution by traversing the interior of the feasible region [45]. IPAs during each iteration, use a Newton step via linear approximation, and a conjugate gradient step using a trust region [46]. In this paper, our ...
The Nelder-Mead optimization method, also known as the downhill simplex method [10], [11], is a gradient-free optimization method in which the gradient, ∇XF=(∂F/∂X1,∂F/∂X2,…,∂F/∂Xn), is not required. The optimal solution is searched for by systematically moving pa...
In this paper, we propose a novel method called two-dimensional ridge regression (2DRR) for face recognition, which is based on 2D image matrices rather than 1D vectors as conventional ridge regression does. Due to the fact that regular simplex vertices are highly symmetric and well separated,...
We explore the influence of different initial infection nodes, propagation rates, and 2-simplex reconstruction probabilities on information spreading. The results suggest that when the transmission rate corresponding to the node type of initial infection increases, the propagation range changes greatly. ...
The construction requires not only that the triangulation be subordinate to the filtration, but flag-like: each simplex of the triangulation is either disjoint from the defect curve, or intersects it in a closed face. The construction allows internal degrees of freedom in the defect curves by ...
As in Dougherty, Park and Yetter \\cite{DPY}, we require that triangulations be flag-like, meaning that each simplex of the triangulation is either disjoint from the defect curve, or intersects it in a closed face, and that the extended Pachner moves preserve flag-likeness. This research ...
As in Dougherty, Park and Yetter [On 2-dimensional Dijkgraaf-Witten theory with defects, to appear in J. Knots Theory Ramifications], we require that triangulations be flaglike, meaning that each simplex of the triangulation is either disjoint from the defect curve, or intersects it in a ...
In the semiclassical limit of this quantization the three-dimensional Chern-Simons action, remarkably, becomes the discrete Einstein-Hilbert action of a 4-simplex, featuring the appropriate boundary terms as well as the essential cosmological term proportional to the simplex's curved 4-volume. Both ...
simplex methodbasissensitivity analysisWe transform a 2-dimensional second-order cone program to a standard linear program in order to pivot a vector based on its three states. Related properties of the transformation are given. Based on the transformation, we interpret the simplex method and its ...