The consistency of least-square regularized regression with negative association sequence

In the last few years, many known works in learning theory stepped over the classical assumption that samples are independent and identical distribution and investigated learning performance based on non-independent samples, as mixing sequences (e.g., [Formula: see text]-mixing, [Formula: see text]-mixing, [Formula: see text]-mixing etc.), they derived similar results with the investigation based on classical sample assumption. Negative association (NA) sequence is a kind of significant dependent random variables and plays an important role in non-independent sequences. It is widely applied to various subjects such as probability theory, statistics and stochastic processes. Therefore, it is essential to study the learning performance of learning process for dependent samples drawn from NA process. Obviously, samples in this learning process are not independent and identical distribution. The results in classical learning theory are not applied directly. In this paper, we study the consistency of least-square regularized regression with NA samples. We establish the error bound of least-square regularized regression for NA samples, and prove that the learning rate of least-square regularized regression for NA samples is [Formula: see text], which is tend to [Formula: see text] when [Formula: see text] arbitrarily close to 0, where [Formula: see text] denote the number of the samples. The simulation experiment of convergence rate on NA samples reveals that the least-square regularized regression algorithm for NA samples is consistent. This result generalizes the classical result of independent and identical distribution.

Application of a Seven-Target Pyrosequencing Assay To Improve the Detection of Neuraminidase Inhibitor-Resistant Influenza A(H3N2) Viruses

ABSTRACTNational U.S. influenza antiviral surveillance incorporates data generated by neuraminidase (NA) inhibition (NI) testing of isolates supplemented with NA sequence analysis and pyrosequencing analysis of clinical specimens. A lack of established correlates for clinically relevant resistance to NA inhibitors (NAIs) hinders interpretation of NI assay data. Nonetheless, A(H3N2) viruses are commonly monitored for moderately or highly reduced inhibition in the NI assay and/or for the presence of NA markers E119V, R292K, and N294S. In 2012 to 2013, three drug-resistant A(H3N2) viruses were detected by NI assay among isolates (n= 1,424); all showed highly reduced inhibition by oseltamivir and had E119V. In addition, one R292K variant was detected among clinical samples (n= 1,024) by a 3-target pyrosequencing assay. Overall, the frequency of NAI resistance was low (0.16% [4 of 2,448]). To screen for additional NA markers previously identified in viruses from NAI-treated patients, the pyrosequencing assay was modified to include Q136K, I222V, and deletions encompassing residues 245 to 248 (del245-248) and residues 247 to 250 (del247-250). The 7-target pyrosequencing assay detected NA variants carrying E119V, Q136, and del245-248 in an isolate from an oseltamivir-treated patient. Next, this assay was applied to clinical specimens collected from hospitalized patients and submitted for NI testing but failed cell culture propagation. Of the 27 clinical specimens tested, 4 (15%) contained NA changes: R292K (n= 2), E119V (n= 1), and del247-250 (n= 1). Recombinant NAs with del247-250 or del245-248 conferred highly reduced inhibition by oseltamivir, reduced inhibition by zanamivir, and normal inhibition by peramivir and laninamivir. Our results demonstrated the benefits of the 7-target pyrosequencing assay in conducting A(H3N2) antiviral surveillance and testing for clinical care.

Complete Convergences of Rowwise NA Sequences of Random Variables

In this paper, we study the complete convergences and strong law of large numbers of rowwise NA sequences of random variables. The results obtained not only generalize the results of Hu (1998, Statist. Probab. Lett. 38, 27 – 31) and Sung (2005. Stntist. Probab. Lett. 71, 303 – 311 ) to NA sequence, but also improve them. AMS (2000) Subject Classification: 60F15.

Oscillator strengths in the Na sequence

We have calculated the excitation energies and the length and velocity forms of the optical oscillator strengths for the resonance 1s22s22p63s2Se → 1s22s22p63p2P0 transition and the nonresonance 1s22s22p63s2Se → 1s22s22p64p2P0, 1s22s22p63p2P0 → 1s22s22p64s2Se and 1s22s22p64s2Se → 1s22s22p64p2P0 transitions in Na, Mg+, Al2+, Si3+, S5+, Ar7+, Ca9+, and Fe15+ systems. Inner-shell excitation in the P4+ ion has also been studied. The agreement between the length and velocity forms of the oscillator strengths is reasonably good.