On the strength of the square loss function, this part also defines the vector loss function and matrix loss function, and discusses the Bayesian risk decision solutions about random vector parameter and random matrix parameter under these loss functions respectively.
The result shows that the algorithm can calculate the vector parameter with few iterative times. The convergence of the algorithm is sensitive to the initial value of arrival time can be solved by some conventional methods,such as cross-correlation,wavelet transform and genetic algorithms.
Result: There were significant difference of average force vector quantities? time and frequency between the left hemiplegic patients and the healthy people in the third area(P<0.05),but the change of parameter of force vector quantities of the right hemiplegic were not distinct(P>0.05).
ased on the improved Snyder’s parameters of solvent selectivity,we propose a new method to expressthe vector parameters of solvent system selectivity and discuss the Q value’s variation and relationship be-tween R_f and Q value。
Let (X, Y) be a pair of normed spaces such that X ? Y ? L1[0, 1]n and {ek}k be an expanding sequence of finite sets in ?n with respect to a scalar or vector parameter k, k ∈ ? or k ∈ ?n.
Consider a repeated measurement partially linear regression model with an unknown vector parameter β1, an unknown function g(·), and unknown heteroscedastic error variances.
In this paper, optimal control problem of time-delay digital control system has been studied using discrete orthogonal polynomials.The relationship between the state coefficient vector and control coefficient vector is obtained. The discrete orthogonal polynomials are used to modify the optimal equations into a set of linear algebraic ones for the approximate solutions of optimal state and control variables. Finally, a practical example is given by using discrete Chebyshev polynomial, discrete Laguerre poly...
This paper studies the continuous and differential properties of marginal functions or extremal value functions of nonsmooth optimization problems with vecter parameter . It gives the bounds of some directional derivatives of marginal functions for nonsmooth and nonconvex problems in which the target function and inequality constraints are Lipschitz and equality constraints are smooth. It is an extension of [ 1 ], and [ 4 ] from one-side perturbation to vecter parametric perturbation . It also considers an ...
An analysis method of oil jet pressure waveform of diesel engine is presented in this paper. The analysis prockdure includes two aspects:Syntactic approach to pattern recognition based on the morph of waveform and feature vector marching based on the vaiue of the waveform fea- ture parameters. A waveform parsing example is given in the paper.