Almost sure central limit theory for products of sums of partial sums

Consider a sequence of i.i.d.positive random variables.An universal result in almost sure limit theorem for products of sums of partial sums is established.We will show that the almost sure limit theorem holds under a fairly general condition on the weight dk= k-1 exp（lnβk）,0≤β〈1.And in a sense,our results have reached the optimal form.

Rearrangement Inequality and Chebyshev＇s Sum Inequality on Positive Tensor Products of Orlicz Sequence Space with Banach Lattice

Let φ be an Orlicz function that has a complementary function φ＊ and let lφ be an Orlicz sequence space. We prove a similar version of Rearrangement Inequality and Chebyshev＇s Sum Inequality in lφ FX, the Fremlin projective tensor product of lφ with a Banach lattice X, and in lφ iX, the Wittstock injective tensor product of lφ with a Banach lattice X.

Parallel Computation of Disjoint Products Approach

In this paper, extracting parallelizatio n from the sum of disjoint products approach is discussed. A general framework of parallelizing disjoint products approach is presented. And a parallel version of the newest disjoint products algorithm is implemented. The results of testing s how the effect is so good to get linear speedups.

Sum-Product Networks模型的研究及其在文本分类的应用

图模型在机器学习有着广泛的应用。相比图模型,Sum-Product Networks模型具有更强表达能力和更快的推理速度,所以其在对文本和图像数据建模有着广泛的应用。本文总结Sum-Product Networks这一新的深度概率模型的研究进展,先介绍了固定结构的Sum-Product Networks的参数学习方法,再介绍了根据不同的输入数据而进行的结构和参数学习方法。并且介绍了判别式和生成模型的Sum-Product Networks,最后介绍了Sum-Product Networks在文本分类上的应用。

On the Product of Integro Differential Equations and Their Solutions in Direct Sum Spaces

In this paper, we consider a general quasi-differential expressions t1,t2 Tn, each of order n with complex coefficients and their formal adjoints are t1＋,t2＋- x＋ on [0, b） respectively. We show in the direct sum spaces LZ（Ip）, p = 1,2 N of functions defined on each of the separate intervals with the case of one singular end-points and under suitable conditions on the function F that all solutions of the product quasi-integro differential equations are bounded and LZw -bounded on [0,b）.

基于强乘积运算下图的广义和连通度指标上下界

对于图G,令E(G)表示G的边集,令V(G)表示G的点集,d_(G)(v)表示v的度。对于边e=uv,定义广义和连通度指标χ_(α)(e)=(d_(G)(u)+d_(G)(v))^(α),其中α为任一实数。本文先介绍了图的S,R,Q,T四种运算,然后给出了四种运算下的强乘积,并利用最大度最小度确定了其四种图的广义和连通度指标的上下界。

健壮且自适应的学习型近似查询处理方法研究

由于在大规模数据集上执行精确查询耗时较长,因此近似查询处理(AQP)技术常被用于在线分析处理,目的是以较短的交互延迟返回查询结果,并尽可能地降低查询误差。现有的学习型AQP方法与底层数据解耦,将I/O密集型计算转化为CPU密集型计算,但是由于计算资源的限制,该类方法通常基于随机的数据样本进行模型训练,此类训练数据会引起稀有群组缺失问题,导致模型预测准确性不高。针对上述问题,提出一种基于分层样本学习的混合型和积网络模型,并基于该模型设计一种AQP框架。分层样本能够有效避免稀有群组缺失现象,基于该样本训练的模型预测准确性大幅提升。此外,针对数据动态更新的情况,提出一种模型自适应更新策略,使得模型能够及时检测数据偏移现象并自适应地执行更新。实验结果表明,与基于抽样和基于机器学习的AQP方法相比,该模型在真实数据集和合成数据集上的平均相对误差分别约降低18.3%和2.2%,在数据动态更新的场景下,其准确性和查询时延均呈现出良好的稳定性。

Nullors, and Nullor Circuits;There Applications in Symbolic Circuit Analysis and Design

The objective in this presentation is to introduce some of the unique properties and applications of nullors in active circuit analysis and designs. The emphasis is to discuss the role nullors can play in symbolic representation of transfer functions. To show this we adopt the topological platform for the circuit analysis and use a recently developed Admittance Method (AM) to achieve the Sum of Tree Products (STP), replacing the determinant and cofactors of the Nodal Admittance Matrix (NAM) of the circuit. To construct a transfer function, we start with a given active circuit and convert all its controlled sources and I/O-ports to nullors. Now, with a solid nullor circuit (passive elements and nullors) we first eliminate the passive elements through AM operations. This produces the STPs. Second, the all-nullor circuit is then used to find the signs or the STPs. Finally, the transfer function (in symbolic, if chosen) is obtained from the ratio between the STPs.

基于DEA-Malmquist指数方法及秩和比法的我国城乡居民医疗保险基金动态效率分析

目的 以2017—2021年度全国31个省(区、市)的城乡居民医保基金面上数据为基础,对城乡居民医保基金进行动态效率评价。方法 从《中国统计年鉴》收集2017—2021年度全国31个省(区、市)的城乡居民医保基金的参保人数、基金收入、基金支出、基金累计结余和人均补偿金额相关统计数据,利用DEA-Malmquist指数方法和秩和比法(RSR)综合评价城乡居民医保基金运行效率。结果 2017—2021年全国居民医保基金全要素生产率均值为0.894,东部>中部>西部,技术进步变化指数均值为0.875(<1),技术效率指数均值为1.021。RSR法排序分档结果为好、中、差三档,其中,北京、陕西、海南、安徽和贵州的居民医保基金综合水平最高,黑龙江、广西、西藏和青海的医保基金综合水平最低,大部分省(区、市)医保基金运行水平分档等级处于中档。回归结果显示,回归方程y=-0.329+0.156×Probit(F=473.94,P<0.05,R2=0.942),模型表现较为优秀。结论 技术进步指数下降是导致居民医保基金全要素生产率低的主要原因,且居民医保基金运行效率存在较大的区域差异。应提高医疗保险基金管理的专业化、规范化水平,提高基金运行的整体效益。

Performance and Complexity Trade-Off between Short-Length Regular and Irregular LDPC

In this paper, both the high-complexity near-ML list decoding and the low-complexity belief propagation decoding are tested for some well-known regular and irregular LDPC codes. The complexity and performance trade-off is shown clearly and demonstrated with the paradigm of hybrid decoding. For regular LDPC code, the SNR-threshold performance and error-floor performance could be improved to the optimal level of ML decoding if the decoding complexity is progressively increased, usually corresponding to the near-ML decoding with progressively increased size of list. For irregular LDPC code, the SNR-threshold performance and error-floor performance could only be improved to a bottle-neck even with unlimited decoding complexity. However, with the technique of CRC-aided hybrid decoding, the ML performance could be greatly improved and approached with reasonable complexity thanks to the improved code-weight distribution from the concatenation of CRC and irregular LDPC code. Finally, CRC-aided 5GNR-LDPC code is evaluated and the capacity-approaching capability is shown.

A General Law of Precise Asymptotics for Products of Sums under Dependence

Let {Xn,n ≥ 1} be a strictly stationary LNQD （LPQD） sequence of positive random variables with EX1 = μ 〉 0, and VarX1 = σ^2 〈 ∞. Denote by Sn = ∑i=1^n Xi and γ = σ/μ the coefficients of variation. In this paper, under some suitable conditions, we show that a general law of precise asymptotics for products of sums holds. It can describe the relations among the boundary function, weighted function, convergence rate and limit value in the study of complete convergence.

An Improved Result in Almost Sure Central Limit Theory for Products of Partial Sums with Stable Distribution

Consider a sequence of i.i.d.positive random variables with the underlying distribution in the domain of attraction of a stable distribution with an exponent in (1,2].A universal result in the almost sure limit theorem for products of partial sums is established. Our results significantly generalize and improve those on the almost sure central limit theory previously obtained by Gonchigdanzan and Rempale and by Gonchigdanzan.In a sense,our results reach the optimal form.

lim n→∞ sum n^kf[i^q/n^p] from i=1 to n型极限的计算公式及其应用

对p>q≥0情形下,形如lim n→∞ sum n^kf[i^q/n^p] from i=1 to n的一类和式极限,给出并证明了其计算公式。该公式在求解这类极限时具有计算简便、适用面宽等优点,进一步还可运用于可化为这类和式极限的积式极限的计算。

Moderate deviations principle for products of sums of random variables

Let(Xn)n≥1 be a sequence of independent identically distributed(i.i.d.) positive random variables with EX1 = μ,Var(X1) = σ2.In the present paper,we establish the moderate deviations principle for the products of partial sums(πnk=1Sk/n!μn)1/(γbn√(2n))1where γ = σ/μ denotes the coefficient of variation and(bn) is the moderate deviations scale.

Estimation of Two-Dimensional Correction Factors for Min-Sum Decoding of Regular LDPC Code

In this paper, two-dimensional (2-D) correction scheme is proposed to improve the performance of conventional Min-Sum (MS) decoding of regular low density parity check codes. The adopted algorithm to obtain the correction factors is simply based on estimating the mean square difference (MSD) between the transmitted codeword and the posteriori information of both bit and check node that produced at the MS decoder. Semi-practical tests using software-defined radio (SDR) and specific code simulations show that the proposed quasi-optimal algorithm provides a comparable error performance as Sum-Product (SP) decoding while requiring less complexity.

基于概率图模型的单信标定位算法研究

随着人类对海洋认识的逐步深入,水下目标的位置信息成为了一种不可或缺的水下信息源,传统的水下定位方法已经不能满足不同场景的应用需求。无论是在测量信息多元化时的多元信息融合定位,还是测量信息不足时的时域信息联合定位时均存在局限性。为此文章提出了基于概率图模型的单信标定位算法,在信标稀疏或者信标通信信息缺失的情况下,通过联合目标时域上其他位置时刻的所有量测信息,从而实现目标定位。此外文章还分析了模型分辨率和测距误差对定位结果的影响,并通过湖试验证概率图方法的有效性,证明其能够在传统定位方法无法使用的单信标的定位跟踪过程中,估计出每一时刻目标的位置,描述目标的运动轨迹。平均定位精度达到1.203 5 m。

包装中的“奥卡姆剃刀定律”:繁简设计对产品效能判断的影响

包装繁简设计是人们对产品进行判断与决策的重要线索。通过7个实验(包括1个内隐联想测试和6个预注册情景实验),文章揭示了包装中的“奥卡姆剃刀定律”,即“简单有效原理”。其中,实验1通过内隐联想测试证实繁简设计与效果属性之间具有内隐关联;实验2A、2B和2C重复验证了主效应,即相比于复杂包装的产品,人们认为简单包装的产品效能更高;实验3为此效应提供了内在解释机制,即简单(vs.复杂)包装促进了人们对产品实现功能效益的目标专注度感知,进而产生更高的产品效能评估。实验4和5识别了主效应发生的边界条件,即当人们的零和信念较弱或诉求点为享乐性时,该效应被削弱或消失。文章拓展了产品美学和产品效能的理论文献,并为视觉营销提供了实践参考。

综合评价模型联合遗传算法的混合工质ORC系统性能研究

采用R601a/R600作为工质回收工业余热,并以系统的热力学性能(输出功率Wnet、热效率ηth、?效率εex)、经济性能(投资成本回收周期ICPP、单位输出功率所需换热面积APR)、环境影响(CO_(2)当量排放ECE、环境?代价Exc)为评价指标,采用AHP-和积法确定不同评价指标的权重并结合遗传算法对系统进行综合分析。结果表明,综合评价指标F1的目标函数的权重大小依次为:环境影响>经济性能>热力学性能。当R601a/R600工质配比为0.33%/99.67%,蒸发温度为137.2℃时,W_(net)、η_(th)、ε_(ex)、APR、ICPP、ECE和E_(xc)分别为62.9 kW、15.8%、48.7%、4.3 m2/kW、6.6 a、25.0 t、4.0 W。得到的ECE和Exc与平衡权重的TOPSIS相比,分别降低了45.9%和57.0%。这说明F1对环境影响更为重视,能根据不同权重给予实际工程更多的参考方案,比传统TOPSIS更有指导意义。

基于因子图模型的水下传感器网络时间同步方法

为了降低水下传感器时间同步周期长、提高同步效率,本文提出了一种基于因子图模型的水下位置、声速、时延测量值的参数融合方法。该方法在求解系统钟差边缘概率密度函数后,对该函数进行二进制化简,从而快速解算各传感器钟差,实现网络的动态时间统一。试验结果证明:在其动态时间同步准确度高于8×10^(-4) s的前提下,其同步周期仅为现有方法的1/2,并可以在一个周期内完成对整个网络的授时,计算量降低。

精于心,简于形:实用品外观设计的复杂度对消费者偏好的影响

本文聚焦实用品的外观设计,探究外观设计的复杂度对消费者产品偏好的影响及心理机制。通过6个实验,本文证实外观设计的复杂度负向影响消费者对实用品的产品偏好。其背后的心理机制是消费者对企业在产品不同属性之间的资源配置持有朴素的零和思维。对实用品而言,随着外观设计复杂度的提升,消费者推断企业减少了在产品关键属性上的投入,从而导致他们对产品质量的感知和产品偏好下降。这一效应在消费者对企业的资源配置持有非零和思维或者在企业的规模较大因此资源更为丰富的情况下有所减弱。本文拓展了产品设计的相关文献,并为企业如何通过产品外观设计提升实用品的市场表现提供了重要的实践指导。