Neural autoregressive sequence models are used to generate sequences in a variety of natural language processing (NLP) tasks, where they evaluated according sequence-level task losses. These typically trained with maximum likelihood estimation, which ignores the loss, yet empirically performs well as surrogate objective. Typical approaches directly optimizing loss such policy gradient and minim...

This paper presents a new mathematical model for a bi-objective job shop scheduling problem with sequence-dependent setup times that minimizes the weighted mean completion time and the weighted mean tardiness time. For solving this multi-objective model, we develop a fuzzy multi-objective linear programming (FMOLP) model. In this problem, a proposed FMOLP method is applied with respect to the o...

In this paper, we consider double sequence iteration processes for strongly $rho$-contractive mapping in modular space. It is proved, these sequences, convergence strongly to a fixed point of the strongly $rho$-contractive mapping.

Let 1 < p < ∞ and A = (an,k)n,k 1 be a non-negative matrix. Denote by ‖A‖w,p,F , the infimum of those U satisfying the following inequality: ‖Ax‖w,p,F U ‖x‖w,p,I , where x 0 and x ∈ lp(w,I) and also w = (wn)n=1 is a decreasing, non-negative sequence of real numbers. The purpose of this paper is to give a lower bound for ‖A‖w,p,F , where A is a lower triangular matrix. In particular, we apply ou...

In the present article, we introduce Chlodowsky variant of $(p,q)$-Bernstein operators and compute the moments for these operators which are used in proving our main results. Further, we study some approximation properties of these new operators, which include the rate of convergence using usual modulus of continuity and also the rate of convergence when the function $f$ belongs to the class Li...

Spinal dural arteriovenous fistulas (SDAVF) account for about 70% of all spinal AV shunts. We report on a 56-year-old male patient with progressive neurological symptoms. Preand post-contrast MR imaging of the spine, including contrast-enhanced MR angiography was done on a 1.5 T MR scanner. In addition a special (pre-contrast) 3D turbo-spin-echo sequence with variable flip angle evolution (SPAC...

We provide a new proof of James’ sup theorem for (non necessarily separable) Banach spaces. One of the ingredients is the following generalization of a theorem of Hagler and Johnson ([5]) : “If a normed space E does not contain any asymptotically isometric copy of l(N), then every bounded sequence of E′ has a normalized block sequence pointwise converging to 0”.