基于回溯法的排课设计

根据我校的排课实际情况,应用回溯法,在Visual C++6.0平台上开发排课系统,系统实现课程信息的设置、排课约束条件的设置、系统管理、排课结果显示、排课优化等功能.实验表明,回溯法与随机因子相结合的方法应用于排课系统,能快速得到排课结果,提高回溯法的效率,系统通过排课优化提高排课结果的满意度.     

概率论中几个重要概念的教学探析

对概率论中几个重要的概念如随机事件、随机变易和概率密度等进行解读,并且对求解概率密度函数之原理和一个条件较弱的概率密度变换公式加以证明。     

Random quadralinear forms and schur product on tensors

In this work, we made progress on the problem that lr(○×)lp(○×)lq is a Banach algebra under schur product. Our results extend Tonge's results. We also obtained estimates for the norm of the random quadralinear form A:lMr×lNp×lKq×lHs→ C, defined by: A(ei, ej, ek, es)=aijks, where the (aijks)'s are uniformly bounded, independent, mean zero random variables. We proved that under some conditions lr(○×)lp(○×)lq (○×)ls is not a Banach algebra under schur product.     

Statistics and Intuition for the Classroom

Examples and case studies are presented of statistical reasoning, thinking and intuition that may arise in perception of randomness and in particular for random walks. The relationship between art and science can be explored through various notions of the statistical concepts of randomness.     

Bachelor’s degree student dropouts: Who tend to stay and who tend to leave?

Factors of students’ dropout can be studied either by surveys among students or by analyzing data the university collects. In the work reported in this paper, we analyzed data known about students at the time of admission as well as data about the students' study achievements collected on a semester basis. Using data about students who enrolled in the academic year 2013/14, we created several data mining models to predict who will finish their studies successfully and who will not. Our results show that the key factor is the percentage of lost credit vouchers in the most recent semester. The pre-entry attributes have only a very small impact. We also created association rules of different types to find characteristics of students who did not successfully complete the first semester of study. Here, the factor that mainly increases the probability of a failure is the time gap between secondary and tertiary education.     

The Unrelenting Exchange Paradox

An elusive probability paradox is analysed. The fallacy is traced back to improper use of a symbol that denotes at the same time a random variable and two different values that it may assume.     

Reliability based multiobjective optimization for design of structures subject to random vibrations

Based on a multiobjective approach whose objective function （OF） vector collects stochastic reliability performance and structural cost indices, a structural optimization criterion for mechanical systems subject to random vibrations is presented for supporting engineer＇s design. This criterion differs from the most commonly used conventional optimum design criterion for random vibrating structure, which is based on minimizing displacement or acceleration variance of main structure responses, without considering explicitly required performances against failure. The proposed criterion can properly take into account the design-reliability required performances, and it becomes a more efficient support for structural engineering decision making. The multiobjective optimum （MOO） design of a tuned mass damper （TMD） has been developed in a typical seismic design problem, to control structural vibration induced on a multi-storey building structure excited by nonstationary base acceleration random process A numerical example for a three-storey building is developed and a sensitivity analysis is carried out. The results are shown in a useful manner for TMD design decision support.     

GSM-MRF based classification approach for real-time moving object detection

Statistical and contextual information are typically used to detect moving regions in image sequences for a fixed camera. In this paper, we propose a fast and stable linear discriminant approach based on Gaussian Single Model （GSM） and Markov Random Field （MRF）, The performance of GSM is analyzed first, and then two main improvements corresponding to the drawbacks of GSM are proposed： the latest filtered data based update scheme of the background model and the linear classification judgment rule based on spatial-temporal feature specified by MRF. Experimental results show that the proposed method runs more rapidly and accurately when compared with other methods.     

信息检索中的相关性

讨论了信息检索中的相关性概念,通过分析美国学者Mizzaro的相关性框架,展示了信息检索过程中所包含的各种相关性以及它们之间的相互关系,探讨了用户相关性判断的影响因素。