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1. chinaXiv:202105.00070 [pdf]

Copula熵:理论和应用

马健
Subjects: Statistics >> Mathematical Statistics
Subjects: Computer Science >> Computer Application Technology
Subjects: Information Science and Systems Science >> Basic Disciplines of Information Science and Systems Science

统计独立性是统计学和机器学习领域的基础性概念,如何表示和度量统计独立性是该领域的基本问题。Copula理论提供了统计相关性表示的理论工具,而Copula熵理论则给出了度量统计独立性的概念工具。本文综述了Copula熵的理论和应用,概述了其基本概念和定理,以及估计方法。介绍了Copula熵研究的最新进展,包括其在统计学四个基本问题(结构学习、关联发现、变量选择和时序因果发现等)上的理论应用。讨论了四个理论应用之间的关系,以及其对应的深层次的相关性和因果性概念之间的联系,并将Copula熵的(条件)独立性度量框架与基于核函数和距离的相关性度量框架进行了对比。简述了Copula熵在水文学、环境气象学、生态学、认知神经学、系统生物学、老年医学、公共卫生学,以及能源工程、制造工程和可靠性工程等领域的实际应用。

submitted time 2021-08-19 Hits7732Downloads968 Comment 0

2. chinaXiv:202108.00103 [pdf]

A New Interpolation Approach and Corresponding Instance-Based Learning

廉师友
Subjects: Computer Science >> Other Disciplines of Computer Science

Starting from finding approximate value of a function, introduces the measure of approximation-degree between two numerical values, proposes the concepts of "strict approximation" and "strict approximation region", then, derives the corresponding one-dimensional interpolation methods and formulas, and then presents a calculation model called "sum-times-difference formula" for high-dimensional interpolation, thus develops a new interpolation approach ? ADB interpolation. ADB interpolation is applied to the interpolation of actual functions with satisfactory results. Viewed from principle and effect, the interpolation approach is of novel idea, and has the advantages of simple calculation, stable accuracy, facilitating parallel processing, very suiting for high-dimensional interpolation, and easy to be extended to the interpolation of vector valued functions. Applying the approach to instance-based learning, a new instance-based learning method ? learning using ADB interpolation ? is obtained. The learning method is of unique technique, which has also the advantages of definite mathematical basis, implicit distance weights, avoiding misclassification, high efficiency, and wide range of applications, as well as being interpretable, etc. In principle, this method is a kind of learning by analogy, which and the deep learning that belongs to inductive learning can complement each other, and for some problems, the two can even have an effect of “different approaches but equal results” in big data and cloud computing environment. Thus, the learning using ADB interpolation can also be regarded as a kind of “wide learning” that is dual to deep learning.

submitted time 2021-08-17 Hits1489Downloads136 Comment 0

3. chinaXiv:202104.00131 [pdf]

玻色采样的行为模拟和其复杂度量化分析

张武荣
Subjects: Information Science and Systems Science >> Simulation Science and Technology

本文证明高斯玻色采样问题和矩阵积和式计算问题一样,仍然是指数复杂度问题。对于使用有限采样时钟频率的物理光学装置,即使采样到一个有效样本都是难以完成的任务。本文提出通过高斯玻色采样来证明量子计算优越性的新方案:该方案采用量子真随机数和大型计算机相结合,用量子真随机数实现量子的内禀随机性,并使用大型计算机完成采样状态模拟和判断,从而整体无差错实现高斯玻色采样问题,完成单纯经典超级计算机无法完成的计算任务,最终证明量子计算的优越性。本文提出的行为级模拟方案,可以使用伪随机数有效仿真玻色采样问题中的大概率事件,从而可以很方便地验证物理采样装置的有效性和正确性。

submitted time 2021-04-22 Hits5116Downloads310 Comment 0

4. chinaXiv:202103.00132 [pdf]

CET: A New Complex Evidence Theory

Lipeng Pan; Yong Deng
Subjects: Information Science and Systems Science >> Basic Disciplines of Information Science and Systems Science

" Dempster-Shafer evidence theory, as an extension of Probability theory, is widely used in the field of information fusion due to it satisfies weaker conditions than probability theory in dealing with uncertain information. Nevertheless , the description space of the current evidence theory is only a real space, and it cannot effectively describe and process the uncertain information in the face of multidimensional characteristic data and periodic data with phase angle changes. Based on this gap , in this paper, Dempster-Shafer evidence theory is extended to the complex Dempster-Shafer evidence theory. In complex Dempster-Shafer evidence theory, mass function that used to describe the uncertain information extends from the real space to the complex space, named as complex mass function, and the modulus of the mass function indicates the degree of support for the proposition. On this basis, other basic concepts used to describe uncertainty information are also defined and discussed, such as complex belief function, complex plausibility function, etc. In order to perfect the complex Dempster-Shafer evidence theory, the complex Dempster combination rule (CDCR) is supplemented. CDCR is an extension of Dempster combination rule (CDR), which satisfies the commutative and associative laws just as CDR does, and it can degenerate into CDR under certain condition. In addition, we propose a method to generate complex mass function and apply it to target recognition. The recognized results show that compared with the mass function of the real plane, the target recognition rate can be larger by using complex mass function to describe the uncertain information.

submitted time 2021-03-23 Hits5697Downloads762 Comment 0

5. chinaXiv:202102.00009 [pdf]

黄河流域夜晚灯光数据与经济发展时空格局演变分析

张远生; 曹智伟; 韦蔚; 胡洁
Subjects: Information Science and Systems Science >> Basic Disciplines of Information Science and Systems Science

系统性掌握黄河流域经济发展时空格局演变规律能为整个流域高质量发展提供重要决策依据。目前,GDP是衡量经济发展格局的主要参考依据,然而GDP统计数据存在口径不统一、空间分辨率低等缺点,难以精准刻画经济发展的时空演变格局特征。夜晚灯光数据以其相对客观的特征,对其进行有效反映。本文通过对1992-2013年全国夜晚灯光数据的校正和处理,获得全国及流域夜晚灯光数据影像,进行经济空间聚合分析,以及与相关因子进行对比分析。研究结果表明:经济空间聚合高的区域分布在黄河河道附近,从黄河上游到下游,热力强度逐渐增强,并且以省会城市为核心区,向外扩散,呈现了在老的聚合点聚合度加剧的情况下,聚合区域有向周边分散的趋势;夜晚灯光数据的变化趋势与GDP的变化趋势具有一定的相似性,并且与城镇化率、人口数量、第三产比例、人均公园绿地面积、流域发展指数(Basin Development Index, BDI)具有一定的相关性;流域9省的夜晚灯光数据整体变化趋势与全国灯光数据的变化趋势基本一致,呈稳定上升的趋势,但整体值均低于全国的夜晚灯光数据,并且差距有所扩大,黄河流域高质量发展迫在眉睫。

submitted time 2021-01-26 Hits5910Downloads571 Comment 0

6. chinaXiv:202101.00002 [pdf]

Deng entropy measure of quantum entanglement

邓勇
Subjects: Information Science and Systems Science >> Basic Disciplines of Information Science and Systems Science

本文基于邓熵提出了度量量子纠缠度的方法。分别计算纠缠态和解纠缠之后状态的最大邓熵,将两个熵之差作为纠缠度度量。用GHZ和W纠缠态作为算例给出了所提出方法的应用。

submitted time 2021-01-03 Hits6477Downloads870 Comment 0

7. chinaXiv:202012.00003 [pdf]

疾病诊断相关分组(DRG)专利技术分析

王晟
Subjects: Library Science,Information Science >> Information Processing

疾病诊断相关分组(Diagnosis Related Groups,DRG/DRGs)是一种先进的医疗支付方式,有助于医保费用的合理控制和提升医院服务管理。随着中国医疗改革的深入,DRG开始全面实施,日益重要。本文统计分析了DRG相关技术的主体、类型、时间、受理组织等专利信息,概述了涉及DRG编码的信息处理、医院管理决策支持、绩效管理和医疗收费的专利技术发展情况,对DRG的研发和实施具有现实意义。

submitted time 2020-11-30 Hits17036Downloads956 Comment 0

8. chinaXiv:202007.00047 [pdf]

鲁棒模式识别研究进展

张煦尧; 刘成林
Subjects: Computer Science >> Other Disciplines of Computer Science

目前诸多模式识别任务的识别精度获得不断提升,在一些任务上甚至超越了人的水平。单从识别精度的角度来看,模式识别似乎已经是一个被解决了的问题。然而,高精度的模式识别系统在实际应用中依旧会出现不稳定和不可靠的现象。因此,开放环境下的鲁棒性成为制约模式识别技术发展的新瓶颈。实际上,在大部分模式识别模型和算法背后蕴含着三个基础假设:封闭世界假设、独立同分布假设、以及大数据假设。这三个假设直接或间接影响了模式识别系统的鲁棒性,并且是造成机器智能和人类智能之间差异的主要原因。本文简要论述如何通过打破三个基础假设来提升模式识别系统的鲁棒性。

submitted time 2020-07-29 Hits13917Downloads2298 Comment 0

9. chinaXiv:202004.00005 [pdf]

金融科技中支持区块链生态系统的一般共识博弈框架

袁先智
Subjects: Mathematics >> Applied Mathematics
Subjects: Information Science and Systems Science >> Other Disciplines of Information Science and Systems Science

本文的目的是建立区块链生态系统中采矿池博弈共识均衡的一般框架,特别是在区块链生态系统中,通过使用一个新的概念“共识博弈(Consensus Game)”,解释与挖掘差距(Gap Games)博弈行为相关的共识均衡存在的意义上的稳定性,这里,区块链生态系统主要是指应用2008年中本聪(Nakamoto)所提出的“工作证明”(Proof of Work) 这一关键共识,将区块链工作的费用、报酬机制和采矿权三类不同因素考虑在内的经济活动。 为了做到这一点,我们首先概述了采矿池游戏共识均衡的一般存在性是如何表述的,然后通过区块链共识框架下共识均衡的存在性来解释比特币缺口博弈 (Gap博弈) 稳定性,然后利用博弈论中矿工的利润函数作为收益,建立了一般矿业缺口博弈一致均衡的一般存在性结果。作为应用,建立了缺口博弈 (Gap博弈)一致均衡的一般存在性结果,这不仅有助于我们在区块链生态系统的一般框架下断言缺口博弈 (Gap博弈) 的一般稳定性的存在性,但也让我们能够说明在研究采矿池博弈时的一些不同现象,这些现象可能是由于采矿者的(Gap博弈)行为与嵌入比特币经济学的情景造成的。 我们对区块链生态系统挖掘缺口博弈稳定性的解释研究表明,共识均衡的概念可能对共识经济学基础理论的发展起到重要作用

submitted time 2020-03-31 Hits21009Downloads1835 Comment 0

10. chinaXiv:202003.00055 [pdf]

近似稀疏的低秩张量填充

喻高航; 郑伟东; 胡文玉
Subjects: Mathematics >> Computational Mathematics.

针对目前大多数的低秩张量填充(LRTC)模型存在过度稀疏而导致数据的细微特征被忽略的现象, 本文借助框架变换和低秩矩阵分解, 提出了一个基于近似稀疏的低秩张量填充(AS-LRTC) 模型, 进一步设计了块逐次上界极小化(BSUM) 算法求解该模型. 在一定条件下可以证明该算法的收敛性, 大量的实验结果表明本文提出的算法比现有一些经典算法有明显的优势.

submitted time 2020-03-16 Hits18990Downloads1589 Comment 0

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