When there is a high correlation between the study and the  auxiliary variables, the rank of the auxiliary variable also correlates with the study variable. Then, the use of the rank as an additional auxiliary variable may be helpful to increase the efficiency of the estimator of the mean or total of the population.   In the present study, we propose two  generalized familie...

Abstract. We introduce a spectral transform for the finite relativistice Toda lattice (RTL) in generalized form. In the nonrelativistic case, Moser constructed a spectral transform from the spectral theory of symmetric Jacobi matrices. Here we use a nonsymmetric generalized eigenvalue problem for a pair of bidiagonal matrices (L, M) to define the spectral transform for the RTL. The inverse spec...

Recommender systems primarily utilize the, highly sparse, explicit rating information to make relevant predictions. This data scarcity places a limit on the accuracy of prediction. In this work we attempt to alleviate the problem of data sparsity by using secondary information. Most existing works incorporate auxiliary information in a (bi-linear) matrix factorization setup; whilst our model is...

New deterministic algorithms for routing permutations on an n n MIMD mesh are presented. They are very eecient in terms of the size of auxiliary memory at each processor, measured as the maximum number of packets that need to be queued. One algorithm runs in the optimal time 2 n ? 2 with a maximum queue length of 33. Another runs in the near-optimal time 2 n + O(1) with a maximum queue length o...

This paper presents an improved version of the Shewhart-type generalized variance |S| control chart for multivariate Gaussian process dispersion monitoring, based on the Cornish-Fisher quantile formula for non-normality correction of the traditional normal based 3-sigma chart limits. Also, the exact sample distribution of |S| and its quantiles (chart exact limits) are obtained through the Meije...

In this paper, a so-called auxiliary matrix polynomial Xn(z) and a true right formal orthogonal matrix polynomial (FOMP) A 1 n (z) is connected to each well-conditioned leading principal block submatrix of a given block Toeplitz matrix. From these two matrix polynomi-als, all other right FOMPs of block n of a system of block biorthogonal matrix polynomials with respect to the block Toeplitz mom...

This letter describes algorithms for nonnegative matrix factorization (NMF) with the β-divergence (β-NMF). The β-divergence is a family of cost functions parameterized by a single shape parameter β that takes the Euclidean distance, the Kullback-Leibler divergence, and the Itakura-Saito divergence as special cases (β = 2, 1, 0 respectively). The proposed algorithms are based on a surrogate auxi...