Batch normalization (BN) is comprised of a component followed by an affine transformation and has become essential for training deep neural networks. Standard initialization each BN in network sets the scale shift to 1 0, respectively. However, after we have observed that these parameters do not alter much from their initialization. Furthermore, noticed process can still yield overly large valu...

In this paper we study the structure of set ${\\rm Hom}(X,\\mathbb{R})$ all lattice homomorphisms from a Banach $X$ into $\\mathbb{R}$. Using relation among and disjoint families, prove that topological dual free FBL}(A)$ generated by $A$ contains family cardinality $2^{|A|}$, answering question B. de Pagter A. W. Wickstead. We also deal with norm-attaining homomorphisms. For classical lattices...

By using norm estimates of the pre-Schwarzian derivatives for certain family of analytic functions, we shall give simple sufficient conditions for univalence of analytic functions.

‎our contribution in this paper is to propose an iterative algorithm which does not require prior knowledge of operator norm and prove a strong convergence theorem for approximating a solution of split equality fixed point problem for quasi-nonexpansive mappings in a real hilbert space‎. ‎so many have used algorithms involving the operator norm for solving split equality fixed point problem‎, ‎...

Living agency is subject to a normative dimension (good-bad, adaptive-maladaptive) that is absent from other types of interaction. We review current and historical attempts to naturalize normativity from an organism-centered perspective, identifying two central problems and their solution: (1) How to define the topology of the viability space so as to include a sense of gradation that permits r...

It is the fundamental principle of semigroup theory that the behavior of a strongly continuous semigroup (T (t))t≥0 on a Banach space X and the properties of its generator (A,D(A)), or equivalently the properties of the resolvent function R(λ,A) = (λ − A)−1 (λ ∈ C), should closely correlate. Indeed, the Laplace transform carries the regularity properties of the semigroup to the resolvent functi...