本文主要内容介绍线性规划问题 (Linear Programming) 及其对偶问题 (Dual Problem)。Introduction线性规划 (Linear Programming) 就是高中数学讲的那个线性规划,不过现在是从计算机的角度来谈这个问题的。给定一个目标函数 (Objective function) ,和若干个不等式约束 (Constraints) :...
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2.Standard Large-Margin Problem 我们先来看一下如何计算点到分类线的距离。 首先,我们将权重w(w0,w1,⋯,wd)中的w0拿出来,用b表示。同时省去x0项。这样,hypothesis就变成了h(x)=sign(wTx+b)。 所有的点都分类正确,表示yn(wTxn+b)>0,则distance公式就可以变换成: ...
摘要: We deal with a projective path-following method for linear programming. The performance depends on the exponent μ in the numerator of a multiplicative barrier function. The best iteration bound, i.e. O(√nL), occurs for large values of μ, e.g., μ≥ 2 n....
semi-infinite programmingWe analyse the primal-dual states in linear semi-infinite programming (LSIP), where we consider the primal problem and the so called Haar's dual problem. Any linear programming problem and its dual can be classified as bounded, unbounded or inconsistent, giving rise to ...
In this paper, we consider a class of linear-quadratic semi-infinite programming problems. Using the duality theory, the dual problem is obtained, where the decision variables are measures. A new parameterization scheme is developed for approximating these measures. On this bases, an efficient ...
Everylinearprogrammingproblemhasanassociateduallinearprogrammingproblemthatisintimatelyrelatedtoit.Connectionsbetweentheprimalproblemanditsdual:(i)Iftheprimalisaminimizationproblem,thedualproblemisamaximizationproblem,andviceverse;(ii)Thedualofthedualproblemistheprimalproblem;(iii)Theweakdualitytheorem;(iv)Thestrong...
Primal and Dual LP ProblemsThe notion of duality plays a very important role in linear programming. Indeed, it also plays a crucial role in nonlinear programming, economics, engineering, physics, and statistics. It is possible to assert that every problem has a primal and a dual specification....
Presents a special nonlinear programming problems,its objective function contains absolute value symbol,this kind of problem can be transformed to the solution of a linear programming problems. 给出了一类特殊的非线性规划问题,其目标函数中带有绝对值符号,这类问题可以转化为线性规划问题来求解。 更多例句>...
6) dual linear programming problem 对偶线性规划问题 补充资料:非线性规划 非线性规划 nonlinear programming 目标函数是非线性函数或约束条件不全是线性等式(不等式)的一类数学规划。在科学管理和其他领域中,很多实际问题可以归结为线性规划,但还有另一些问题属于非线性规划。由于非线性规划含有深刻的背景和丰富的内容,...