We consider the problem of minimizing the sum of two convex functions: one is smooth and given by a gradient oracle, and the other is separable over blocks of coordinates and has a simple known structure over each block. We develop an accelerated randomized proximal coordinate gradient (APCG) method for minimizing such convex composite functions. For strongly convex functions, our method achiev...

We address the problem of algorithmic fairness: ensuring that sensitive variables do not unfairly influence the outcome of a classifier. We present an approach based on empirical risk minimization, which incorporates a fairness constraint into the learning problem. It encourages the conditional risk of the learned classifier to be approximately constant with respect to the sensitive variable. W...

Theoretical available values of thermal conductivity are commonly different from the experimentally obtained values. In the present work, a thermodynamic system has been considered and variations in temperature in different elements were analyzed and corresponding thermal conductivities were calculated. These values were compared and the corrected values were justified on the basis of a mathema...

The conformational structure of a series of 2,4-disubstituted pentanes (substituents F, Cl, Br, I, CN, CH3, H) has been calculated, taking account of three types of interactions: dispersion interactions, dipole-dipole interactions, and the three-fold barrier of the C-C bond. Dihedral angles have been adjusted so as to attain the local potential energy minimum for each conformer. The results of ...

We apply a semiempirical R-matrix theory to calculations of vibrational excitation and dissociative attachment in the CF3Cl molecule for electron energies below about 3 eV. We employ two sets of model parameters corresponding to two different forms of the CF3Cl − potential curve. We fi nd that our present, ab initio calculated anion curve gives vibrational excitation and dissociative attachment...

PURPOSE OF THE STUDY Social relations are a key aspect of aging and the life course. In this paper, we trace the scientific origins of the study of social relations, focusing in particular on research grounded in the convoy model. DESIGN AND METHODS We first briefly review and critique influential historical studies to illustrate how the scientific study of social relations developed. Next, w...

The semiempirical theories of mixtures developed by van Laar, Margules, Scatchard-Hamer, Wilson and Renon and Prausnitz are used to study the concentration fluctuations of binary liquid alloys formed among the alkali metals. Examination of the fitting capabilities of these theories leads to the conclusion that those of van Laar, Scatchard-Hamer and Renon and Prausnitz are appropriate both when ...

A semiempirical approach for calculating the bulk and surface stress is developed and presented in this work. It is based on the tight-binding method with Chadi’s total energy model. A strained system is treated as a perturbation of an unstrained system; the corresponding stress can be calculated by the resolvent Green function method. This approach is applied to an arsenic terminated Si(001)23...