this paper has examined the phenomenon of convergence of per capita out put levels across the ic countries for the 1960-1998 periods. three concepts of convergence, i.e., sigma beta and relative beta, have been used. the estimated beta values reveals only a very weak convergence (?=.0014) across ic for 1960-1998 period. but when a more homogeneous group of countries were selected, the results s...

Non-negative latent factor (NLF) models can efficiently acquire useful knowledge from high-dimensional and sparse (HiDS) matrices filled with non-negative data. Single factor-dependent, multiplicative update (SLF-NMU) is an efficient algorithm for building NLF model on HiDS matrix, yet it suffers slow convergence. A momentum method frequently adopted to accelerate a learning algorithm, but inco...

Averaging scheme has attracted extensive attention in deep learning as well traditional machine learning. It achieves theoretically optimal convergence and also improves the empirical model performance. However, there is still a lack of sufficient analysis for strongly convex optimization. Typically, about last iterate gradient descent methods, which referred to individual convergence, fails at...

In this work, we study a leader-follower consensus protocol where both leaders and followers negotiate their states over a stochastically-switching network. The model incorporates the phenomenon of numerosity, which limits the perception of exact numbers. We derive a closed form expression for the asymptotic convergence factor that provides a necessary and sufficient condition for convergence a...

The combinatorial cross-regulation of hundreds of sequence-specific transcription factors (TFs) defines a regulatory network that underlies cellular identity and function. Here we use genome-wide maps of in vivo DNaseI footprints to assemble an extensive core human regulatory network comprising connections among 475 sequence-specific TFs and to analyze the dynamics of these connections across 4...

In this paper, we discuss the equivalent conditions of pretopological and topological $L$-fuzzy Q-convergence structures and define $T_{0},~T_{1},~T_{2}$-separation axioms in $L$-fuzzy Q-convergence space. {Furthermore, $L$-ordered Q-convergence structure is introduced and its relation with $L$-fuzzy Q-convergence structure is studied in a categorical sense}.

In the absence of strict complementarity, Monteiro and Wright 7] proved that the convergence rate for a class of Newton interior-point methods for linear complementarity problems is at best linear. They also established an upper bound of 1=4 for the Q 1-factor of the duality gap sequence when the steplengths converge to one. In the current paper, we prove that the Q 1 factor of the duality gap ...

In real-valued estimation-of-distribution algorithms, the Gaussian distribution is often used along with maximum likelihood (ML) estimation of its parameters. Such a process is highly prone to premature convergence. The simplest method for preventing premature convergence of Gaussian distribution is enlarging the maximum likelihood estimate of σ by a constant factor k each generation. Such a fa...