This text is Martin Müller’s response to the comments on his article “In Search of Global East” by Adam Leszczyński, Jan Sowa, Magda Szcześniak, and Tomasz Zarycki. The author defends in it perspective East, advocating for three ways further intervene geopoli-tics knowledge: revising existing concepts theories (instead emulating them), conducting comparative rese-arch beyond extending theory ge...

Under the strongly convex assumption, several recent works studied the global linear convergence rate of the proximal incremental aggregated gradient (PIAG) method for minimizing the sum of a large number of smooth component functions and a non-smooth convex function. In this paper, under the quadratic growth condition–a strictly weaker condition than the strongly convex assumption, we derive a...

in the recent paper, one of the numerical methods without element, for static analysis of thin plates displacement based on classical plates theory (cpt), has been presented. in this method, the domain of problem solving is shown only by the means of a set of nodes, and there is no need to any mesh scheme or element. one of the kinds of element free methods used here is the radial point interpo...

In this chapter, we extend the techniques of Chapter 2.4 on Fano’s method (the local Fano method) to a more global construction. In particular, we show that, rather than constructing a local packing, choosing a scaling δ > 0, and then optimizing over this δ, it is actually, in many cases, possible to prove lower bounds on minimax error directly using packing and covering numbers (metric entropy...