Although there exist plentiful theories of empirical risk minimization (ERM) for supervised learning, current theoretical understandings of ERM for a related problem—stochastic convex optimization (SCO), are limited. In this work, we strengthen the realm of ERM for SCO by exploiting smoothness and strong convexity conditions to improve the risk bounds. First, we establish an Õ(d/n + √ F∗/n) ris...

Glossary AR(1): Autoregressive model of order one. The present state of a system can be described as a linear function of the state at the previous time, plus timeindependent noise. data assimilation: Method of optimally combining irregularly spaced observations with dynamical constraints to produce dynamically consistent fields on regular grids. CCA: Canonical Correlation Analysis EOF: Empiric...

This study aimed to determine the effect of liquid organic fertilizer (LOF) from tofu industry waste, EM4, and their combination on growth mustard greens (Brassica juncea L.) most optimal dose increase greens. used a factorial Completely Randomized Design (CRD) consisting 2 factors. The first factor is POC second EM4. Each has five levels fertilization with three replications. treatment waste c...

It is well-known that the skew-normal distribution can provide an alternative model to the normal distribution for analyzing asymmetric data. The aim of this paper is to propose two goodness-of-fit tests for assessing whether a sample comes from a multivariate skew-normal (MSN) distribution. We address the problem of multivariate skew-normality goodness-of-fit based on the empirical Laplace tra...

A definition and justify a method for constructing the Green’s function of second Darboux problem two-dimensional linear hyperbolic equation order in characteristic triangle is given. In contrast to (well-developed) theory self-adjoint elliptic problems, this has not yet been developed. And case asymmetric boundary value problems such studies have carried out. It shown that general form can be ...

The present research studies and compares the effect of participating in team sports (soccer and volleyball) and individual sports (table tennis and badminton) on depression among high school students of Khoramdareh City in the period of 2006-2007. Research method is semi-empirical and the population of the research includes 1300 high school students of which 100 students with depression (rangi...