Let F be a class of measurable functions f :S 7→ [0,1] defined on a probability space (S,A, P ). Given a sample (X1, . . . ,Xn) of i.i.d. random variables taking values in S with common distribution P , let Pn denote the empirical measure based on (X1, . . . ,Xn). We study an empirical risk minimization problem Pnf →min, f ∈ F . Given a solution f̂n of this problem, the goal is to obtain very ge...

Privacy-preserving distributed machine learning becomes increasingly important due to the recent rapid growth of data. This paper focuses on a class of regularized empirical risk minimization (ERM) machine learning problems, and develops two methods to provide differential privacy to distributed learning algorithms over a network. We first decentralize the learning algorithm using the alternati...

An Erbium(III) quaternary chelate, nitratebis(2,4-hexanedionate)mono(2,2-bipyridine) erbium(III), has been synthesized and its structure elucidated by X-ray diffraction. There are two independent lanthanide complexes in the asymmetric unit cell. The ligands coordinate the Er(III) in a square anti-prismatic geometry. In the theoretical part of this study, semi-empirical quantum chemistry methods...

Regularities and systematic trends among the Stark widths of 18 Zr IV spectral lines obtained by modified semiempirical approach have been discussed. Also we compared those calculated Stark broadening parameters with estimates according to Cowley, Purić et al. and Purić and Šćepanović and checked the possibility to find some new estimates. It is demonstrated as well that the formula of Cowley (...

In this paper we study the convergence of the Longstaff-Schwartz algorithm for the valuation of American options. Our approach is based on empirical risk minimization initiated by Vapnik and Chervonenkis in the early 1970’s and empirical processes techniques. This allows us to prove convergence, derive error estimates and a Central Limit Theorem for the sample estimators. It also opens up a var...

We describe our present system for language identification as a part of the EMNLP 2016 Shared Task. We were provided with the Spanish-English corpus composed of tweets. We have employed a predictor-corrector algorithm to accomplish the goals of this shared task and analyzed the results obtained.

Empirical likelihood is developed for autoregressive models with innovations that form a martingale difference sequence. Limiting distributions of the log empirical likelihood ratio statistic for both the stable and unstable cases are established. Behavior of the log empirical likelihood ratio statistic is considered in nearly nonstationary models to assess the local power of unit root tests an...

Semi-empirical quantum chemistry methods offer a very interesting compromise between accuracy and computational load. In order to assess the performance of NDDO methods in the interpretation of terahertz spectra, the low frequency vibration modes of three crystalline materials, namely, polyethylene, poly(vinylidene fluoride) form II and α-D-glucose have been studied using the PM6 and PM7 Hamilt...

In this work we use the multiconfiguration Dirac-Fock method to calculate the transition probabilities for all possible decay channels, radiative and radiationless, of a K shell vacancy in Zn, Cd and Hg atoms. The obtained transition probabilities are then used to calculate the corresponding fluorescence yields which are compared to existing theoretical, semi-empirical and experimental results....

Partial atomic charges describe the distribution of electron density in a molecule, and therefore they provide clues regarding the chemical behaviour of molecules. Atomic charges are frequently used in molecular modelling applications such as molecular dynamics, docking, conformational searches, binding site prediction, etc. Recently, partial atomic charges have also become popular chemoinforma...