The double-controlled metric-type space (X,D) is a metric in which the triangle inequality has form D(η,μ)≤ζ1(η,θ)D(η,θ)+ζ2(θ,μ)D(θ,μ) for all η,θ,μ∈X. maps ζ1,ζ2:X×X→[1,∞) are called control functions. In this paper, we introduce novel generalization of double-composed space, where D(η,μ)≤αD(η,θ)+βD(θ,μ) our new functions α,β:[0,∞)→[0,∞) composed D inequality, multiplied with D. We establish s...

This paper addresses the problem of an efficient predictive density estimation for q(‖y−θ‖2) Y based on X∼p(‖x−θ‖2) y,x,θ∈Rd. The chosen criteria are integrated L1 loss given by L(θ,qˆ)=∫Rd|qˆ(y)−q(‖y−θ‖2)|dy, and associated frequentist risk, θ∈Θ. For absolutely continuous strictly decreasing q, we establish inevitability scale expansion improvements qˆc(y;X)=1cdq(‖y−X‖2/c2) over plug-in qˆ1, a...

SummaryIn a Data-Generating Experiment (DGE), the data, X, is often obtained from Black-Box and approximated with learning machine/sampler, f(Y,θ);θ∈Θ, Y random, f known. When X has unknown c.d.f., Fθ, non-identifiability of θ cannot be confirmed may limit predictive accuracy learned model, f(Y,θ̂);θ̂ estimate θ. Using properties Expected P-value for Kolmogorov-Smirnov test, Empirical Discriminat...

In this paper, we propose a novel algorithm to enhance the noisy speech in the framework of dual-channel speech enhancement. The new method is a hybrid optimization algorithm, which employs the  combination of  the  conventional θ-PSO and the shuffled sub-swarms particle optimization (SSPSO) technique. It is known that the θ-PSO algorithm has better optimization performance than standard PSO al...

We show that as T→∞, for all t∈[T,2T] outside of a set measure o(T), ∫−logθTlogθT|ζ(1 2+it+ih)|βdh=(logT)fθ(β)+o(1), some explicit exponent fθ(β), where θ>−1 and β>0. This proves an extended version conjecture Fyodorov Keating (Philos. Trans. R. Soc. Lond. Ser. A Math. Phys. Eng. Sci. 372 (2014) 20120503, 32). In particular, it shows that, θ>−1, the moments exhibit phase transition at critical ...

In this paper, the author studied skeletal congruences θ^* of a distributive nearlattice S, where * represents pseudocomplement. Then described θ(I)^*, θ(I) is smallest congruence S containing n-ideal I as class and showed that I^+ n-kernel θ(I)^*. established following fundamental results: When n an upper element has shown n-kernels are precisely those n-ideals which intersection relative anni...

The discrepancy between Θ photoproduction on proton vs. deuteron can be resolved if the photon couples much more strongly to KK than to KK̄ as indicated by the experimentally observed asymmetry between γp → Λ(1520)K and γn → Λ(1520)Ks. Significant signal-background interference effects can occur in experiments like γN → K̄Θ which search for the Θ as a narrow I = 0 resonance in a definite final st...