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61.
Global Optimization in Any Minkowski Metric: A Permutation-Translation Simulated Annealing Algorithm for Multidimensional Scaling 总被引:3,自引:1,他引:2
It is well known that considering a non-Euclidean Minkowski metric in Multidimensional Scaling, either for the distance model
or for the loss function, increases the computational problem of local minima considerably. In this paper, we propose an algorithm
in which both the loss function and the composition rule can be considered in any Minkowski metric, using a multivariate randomly
alternating Simulated Annealing procedure with permutation and translation phases. The algorithm has been implemented in Fortran
and tested over classical and simulated data matrices with sizes up to 200 objects. A study has been carried out with some
of the common loss functions to determine the most suitable values for the main parameters. The experimental results confirm
the theoretical expectation that Simulated Annealing is a suitable strategy to deal by itself with the optimization problems
in Multidimensional Scaling, in particular for City-Block, Euclidean and Infinity metrics. 相似文献
62.
LIU JianCai XU JiaKai NING XinBao TIAN Run 《科学通报(英文版)》2007,52(17):2438-2442
The characterization of non-stationary signal requires joint time and frequency information. However, time and frequency are a pair of non-commuting variables that cannot constitute a joint probability density in the time-frequency plane. The time-frequency distributions have difficult interpretation problems arising from negative and complex values or spurious components. In this paper, we get time-frequency information from the marginal distributions in rotated directions in the time-frequency plane. The rigorous probability interpretation of the marginal distributions is without any ambiguities. This time-frequency transformation is similar to the computerized axial tomography (CT or CAT) and is applied to signal analysis and signal detection and reveals a lot of advantages especially in the signal detection of the low signal/noise (S/N). 相似文献
63.
Alexandra Sauer 《Systemic Practice and Action Research》2008,21(6):497-515
The participation of non-state actors in implementation processes is often understood as a means to increase compliance efficiency.
But the implementation of spatial policies frequently focuses on pre-established goals, processes and instruments and thus
renders difficult open discourse and shared decision-making. This paper introduces conflict pattern analysis (CPA) as a tool
that supports the analysis of the actual actor constellation in order to define efficient approaches that avoid common problems
of participatory processes. CPA is a semi-formalised method that helps to identify key-actors, their relations and interaction
amongst each other as well as their core beliefs, interests and resources. It aggregates this information to interaction patterns
that can be compared, classified and linked to different participatory methods on a theoretically informed basis. Particularly
on the local and regional level, this could be the first step for successful (participatory) implementation strategies. 相似文献
64.
S. K. MISHRA Shouyang WANG K. K. LAI 《系统科学与复杂性》2007,20(3):344-349
In this paper, we introduce a new class of generalized convex function, namely, a-pseudounivex function, by combining the concepts of pseudo-univex and α-invex functions. Further, we establish some relationships between vector variational-like inequality problems and vector optimization problems under the assumptions of α-pseudo-univex functions. Results obtained in this paper present a refinement and improvement of previously known results. 相似文献
65.
A theoretical model for mid-and low-latitude ionospheric electric fields in realistic geomagnetic fields 总被引:1,自引:1,他引:0
The geomagnetic fields, which play important roles in the ionospheric dynamo, can greatly affect the global distribution of ionospheric electric fields, currents and other ionospheric electrodynamics phenomena. In the study of ionospheric electrodynamics phenomena, such as the longitudinal variations of ionospheric electric fields, the non-dipolar component of the geomagnetic fields must be taken into account. In this paper, we deduce a theoretical electric field model for ionospheric dynamo at mid- and low-latitude which adopt a modified magnetic apex coordinates system. In the new electric field model, the geomagnetic fields can be calculated from either the IGRF model or the dipole field model, and the neutral winds and conductivities are calculated based on empirical models. Then the dynamo equation for the electric potential is finally solved in terms of the line-by-line iteration method, and the ionospheric electric fields and currents are derived from the calculated potential. Our model can reproduce the main features of the ionospheric electrodynamics processes, so it will be a useful tool for the investigation of the upper atmosphere and ionosphere. 相似文献
66.
丛树凡 《曲阜师范大学学报》1994,20(4):27-30
给出非线性自治系统不稳定性的一个简便的判据:从对应的特征方程的系数符号不尽相同,即可系统的零解是不稳定的。 相似文献
67.
Frank Waaldijk 《Foundations of Science》2005,10(3):249-324
We discuss the foundations of constructive mathematics, including recursive mathematics and intuitionism, in relation to classical
mathematics. There are connections with the foundations of physics, due to the way in which the different branches of mathematics
reflect reality. Many different axioms and their interrelationship are discussed. We show that there is a fundamental problem
in BISH (Bishop’s school of constructive mathematics) with regard to its current definition of ‘continuous function’. This problem
is closely related to the definition in BISH of ‘locally compact’. Possible approaches to this problem are discussed. Topology seems to be a key to understanding many
issues. We offer several new simplifying axioms, which can form bridges between the various branches of constructive mathematics
and classical mathematics (‘reuniting the antipodes’). We give a simplification of basic intuitionistic theory, especially
with regard to so-called ‘bar induction’. We then plead for a limited number of axiomatic systems, which differentiate between
the various branches of mathematics. Finally, in the appendix we offer BISH an elegant topological definition of ‘locally compact’, which unlike the current definition is equivalent to the usual classical
and/or intuitionistic definition in classical and intuitionistic mathematics, respectively. 相似文献
68.
龚斌 《石河子大学学报(自然科学版)》1992,(2)
本文对影响柴油用转子流量计测量精度的主要因素进行了试验研究。研究结果表明,柴没的粘度、密度以及测试温度不同,对测量精度将造成不可忽视的影响。根据流体力学的基本原理,利用试验优化方法提出的薄壁量孔校正方法,能够对柴油用转子流量计各标定值进行快速有效的校正。该方法具有较好的油品和温度适应性,其校正精度达2%。 相似文献
69.
为解决多需求点间同时集送货问题,建立考虑需求拆分和转运的车辆路径模型.在模型中,加入车辆装载量动态变化约束、节点可多次访问约束和需求可拆分转运约束,提高问题的普遍性.在模型的优化算法中,算术、蚁群优化算法混合求解.通过算术蚁群算法嵌套优化模式,外层算术优化算法得到配送车辆的任务量,内层蚁群算法优化路径,并将结果反馈给外层算法继续更新求解,直至达到终止条件.同时,添加概率系数、增加算子位置更新公式和更新动态禁忌矩阵对混合算术蚁群算法改进,增加解的多样性,提高算法的求解效率.最后通过实例验证并与混合鲸鱼算法等比较,改进的算法解决本文问题效果更好. 相似文献
70.
C. Baroni Urbani G. S. Boyan A. Blarer J. Billen T. M. Musthak Ali 《Cellular and molecular life sciences : CMLS》1994,50(1):63-71
The Indian antHarpegnathos saltator may be unique among insects in using its jumping capacity not only as an escape mechanism but also as a normal means of locomotion, and for catching its prey in flight. High-speed cinematography used to analyse the various phases of the jump suggests thatHarpegnathos employs a novel jumping mechanism to mediate these behaviours: namely the synchronous activation of its middle and hindlegs. Electrophysiological recordings from muscles or nerves in pairs of middle and hindlegs show remarkably synchronous activity during fictive jumping, supporting the synchronous activation hypothesis.Harpegnathos is not the only ant to jump, and a cladistic analysis suggests that jumping behaviour evolved independently three times during ant evolutionary history. 相似文献