查询词典 conjugate convex function

There are very sophisticated randomized algorithms for convex and non-convex optimization that rely on recently-developed methods for approximately generating uniformly distributed random variables on convex sets.

有一些关于凸型和非凸型最优化的非常复杂的随机算法，它们依赖于最近研究出的一些方法，在凸型集合中近似地产生平均分布的随机变量。

Clarkson introduced the concept of convex modulus while researching uniformly convex spaces, later the relations between numbers of convex modulus and relevant geometric properties had been drawn.

同年，J.Clarkson在研究一致凸时引入了凸性模的定义，而后，人们从多侧面得出了凸性模的取值与相关几何性质之间的关系。

In the second chapter, we introduce the definition of pointwise convex modulus. The relation between numbers of pointwise convex modulus and relevant geometric properties will be discussed. we research the characteristics of numbers of pointwise convex modulus .

在本文第二部分引入了点态凸性模的定义，并讨论了点态凸性模的取值与相关几何性质之间的关系，研究了点态凸性模取值特点。

Secondly, modeling the uncertainties of theb value, the annual occurrence ratev and the upper bound magnitude M uusing convex set models, a convex set-based seismic hazrd analysis approach is developed by integrating the convex theory with the probabilistic based CPSHA (China Probabilistic Seismic Hazard Analysis) theory. By the example of seismic hazard analysis of a city in southern China, this method is demonstrated with a sensitivity analysis.

然后，采用包络界限凸集模型和椭球界限凸集模型描述地震活动性参数b值、年平均发生率v和地震统计区震级上限M u的不确定性，将凸集理论和考虑时空不均匀性的概率地震危险性分析方法相结合，发展了地震危险性分析的凸集分析方法；以南方某市为例，进行地震危险性分析和地震活动性参数的敏感性分析。

A new concept of convex set and its some characteristic properties This paper give a new definition, the support direction of a boundary point of convex set. Then use it to prove a characteric properties of convex set and some other characteric properties.

1凸集的一个新概念与凸集的某些特征性质本文引进支持方向这一新概念并利用它来证明凸集的一个特征性质，最后再用它来证明凸集的另外一些特征性质。

In Chapter 3, we use the sufficient and necessry conditions of minimal point being critical point on closed convex set and construct closed convex sets with some character as more as possible, to discuss the existence of solusion of nonlinear Hammerstein integral equations on different closed convex sets. We get the results of multiple solutions.

在第三章中，我们没有借助于条件，而是利用闭凸集上的极小值点是临界点的充要条件，构造出尽可能多的具有某些特性的闭凸集，在不同的闭凸集上讨论非线性Hammerstein型积分方程的非平凡解的存在性，从而得到多解性的结果。

Quasi-convex relaxation algorithm, which aims to solve ordinary constraint global optimization problems, is produced by a combination of branch-and-bound method with quasi-convex lower bound and quasi-concave upper bound functions developed from quasi convex-concave extension. This algorithm extends the interval algorithm with box constraint to general constraint global optimization problem.

利用拟凸-凹扩张中构造出的函数的拟凸下界函数和拟凹上界函数，与分枝定界方法相结合，建立了求一般约束全局优化问题的拟凸松弛算法，这一算法是将盒子约束的区间算法推广到一般约束优化问题中。

This article outlines the progress of ancient Chinese lenses from the Pre-Qin Period to the Five Dynasties, and discusses mainly two arguments: First, the"yangsui" recorded and narrated in Lun Heng by Wang Chong of Eastern Han Dynasty may be a plano-convex glass lens; secondly, the"four mirrors" recorded and narrated in Tanzi Hua Shu by Tan Qiao of Southern Tang Dynasty may be a plano-convex lens, a biconvex lens, a transparent planeparallel plate and a concave-convex lens respectively, but what kind of tra...

本文概述了中国古代透镜从先秦到五代的发展进程，着重从古代文献和出土文物的研究出发，结合中国古代社会经济发展水平，论证了东汉王充《论衡》中记述的阳燧可能是玻璃平凸透镜；论证了南唐谭峭的《谭子化书》中记述的&四镜&可能是平凸透镜、双凸透镜、平光镜和凹凸透镜。作者认为《谭子化书》&四镜&段可能实际上是对中国古代透镜发展的阶段性总结。

In this paper, the computation of original likelihood function is transformed into the optimal problem of its low bound through the conjugate representation of the convex function, and a additional parameter is introduced to control the smoothing degree of low bound, and so the performance of local optimal solution can be improved.

我们利用凸泛函的对偶性，将原似然函数的复杂计算问题转化为对其下界函数的优化问题，从而降低学习算法的复杂性；并通过引入一个参数来控制下界函数的光滑程度来改善局部最优解的性能；指出了传统的期望最大化算法(Expectation Maximization Algorithm)是变分学习算法的特殊情况。

This paper presents a new algorithm for feed forward neural networks based on a new optimal target function constructed according to Young inequality in the conjugate of convex function.

提出的算法是利用凸函数共轭性质中的Young不等式构造优化目标函数，这个优化目标函数对于权值和隐层输出来说为凸函数，不存在局部最小。

You can snipe the second and third union leaders from this position.

您可以鹬第二和第三工会领袖从这一立场出发。

Aiming at the currently shortage of XML streams quality detecting, this paper proposes a new forecasting method of XML streams quality by least squares support vector machines, which is used the method of XML keys' vector matrix as windows, and vector product wavelet transform to multilevel decompose and refactor the XML streams series, that can fulfill real-time checking demand of XML quality, and ensure constraint, consist- ency and integrality. For even more adapting net load, it proposes a control strategy by weight and adaptive adjustment to ensure XML streams quality.

针对当前XML数据流质量检测存在的不足，提出构建XML键的矢量矩阵作为窗口，利用矢量积小波变换多级分解与重构XML数据流，再结合最小二乘支持向量机对XML数据流质量进行预测的一种方法，满足XML数据流质量重构时实时检测的要求，保证XML数据的约束性、一致性与完整性；为了更好的适应网络负载，采取加权与自适应窗口调整等调度策略充分保证XML数据流的质量检测。