In this paper, we propose a variance-reduced primal-dual algorithm with Bregman distance functions for solving convex-concave saddle-point problems finite-sum structure and nonbilinear coupling function. This type of problem typically arises in machine learning game theory. Based on some standard assumptions, the is proved to converge oracle complexities $${\mathcal {O}}(\frac{\sqrt{n}}{\epsilo...

In our previous work we have discussed the training method of a support vector classifier by active set training allowing the solution to be infeasible during training. In this paper, we extend this method to training a support vector regressor (SVR). We use the dual form of the SVR where variables take real values and in the objective function the weighted linear sum of absolute values of the ...

The best and most detailed structural information is obtained when the diffraction pattern of a single crystal a few tenths of a millimetre in each dimension is analyzed, but growing high-quality crystals of this size is often difficult, sometimes impossible. However, many crystallization experiments that do not yield single crystals do yield showers of randomly oriented microcrystals that can ...

Many important problems in Artificial Intelligence can be defined as Constraint Satisfaction Problems (CSP). These types of problems are defined by a limited set of variables, each having a limited domain and a number of Constraints on the values of those variables (these problems are also called Consistent Labeling Problems (CLP), in which “Labeling means assigning a value to a variable.) Solu...

The goal of theory of constraints (TOC) is to maximize output, which is achieved byidentifying and managing the critically constrained resources. To manage the constraints, Goldrattproposed five focusing steps (5FS). If we increase constrained output, the output of system will beincreased. In this paper, we focus on step four of the 5FS and use the remained capacity of nonconstraintto elevate t...

The Fc-region of immunoglobulin E (IgE) comprising C epsilon 2, C epsilon 3, and C epsilon 4 domains is sufficient for binding to the alpha chain of the high affinity IgE-Fc receptor (Fc epsilon RI alpha). In order to identify the smallest Fc fragment capable of binding to the Fc epsilon RI alpha with high affinity, various regions of the IgE-Fc molecule were expressed in COS cells and investig...

The parallel manipulators are skilled for their precision manufacturing but need optimized design to get maximum dexterity that will lead towards better industrial production rates. 3-DOF tricept is chosen utilize its capabilities functionality. Three performance parameters conditioning index, workspace volume, and global index used obtain optimum variables of mechanism. With a view compare the...

The miscoding potential of N2,3-ethenoguanine (epsilon G), one of the carcinogen vinyl chloride adducts to DNA bases, has been examined by copying of poly (A, epsilon G) templates with DNA-dependent RNA polymerase and reverse transcriptase. In contrast to the results previously obtained with poly (C, epsilon G) templates where epsilon G acts as G and A, in poly (A, epsilon G) templates epsilon ...