Quantum Bayesian computation

Quantum Bayesian computation is an emerging field that levers the computational gains available from quantum computers. They promise to provide an exponential speed-up in Bayesian computation. Our article adds to the literature in three ways. First, we describe how quantum von Neumann measurement provides quantum versions of popular machine learning algorithms such as Markov chain Monte Carlo and deep learning that are fundamental to Bayesian learning. Second, we describe quantum data encoding methods needed to implement quantum machine learning including the counterparts to traditional feature extraction and kernel embeddings methods. Third, we show how quantum algorithms naturally calculate Bayesian quantities of interest such as posterior distributions and marginal likelihoods. Our goal then is to show how quantum algorithms solve statistical machine learning problems. On the theoretical side, we provide quantum versions of high dimensional regression, Gaussian processes and stochastic gradient descent. On the empirical side, we apply a quantum FFT algorithm to Chicago house price data. Finally, we conclude with directions for future research.     

仪器分析课程教学模式新探

针对仪器分析课程的特点,将"教研结合"的教学模式用于仪器分析理论教学中。通过对科研实例的深入解析,将涉及的相关教材知识穿插讲解。同时在仪器分析实验教学中采用"翻转课堂"的教学模式,即以"学生讲为主、教师讲为辅"的方式改变传统实验教学的弊端。从理论与实验两方面对仪器分析课程教学模式进行改革。     

牛肉嫩度的近红外光谱法检测技术研究

利用近红外光谱技术研究了牛肉嫩度的检测方法。在波数为4 000～10 000 cm-1范围内测定牛肉样本近红外吸收光谱,然后用沃-布剪切仪测得牛肉样本(背长肌)的最大剪切力值并进行主观嫩度等级评价。把剪切力值小于6 kg的牛肉归为嫩牛肉,等级值定为1;大于9 kg的牛肉归为老牛肉,等级值定为3;介于6和9 kg之间的牛肉归为中等嫩度的牛肉,等级值定为2。研究结果表明,老牛肉吸收的近红外光一般都要比嫩牛肉多,表现为吸光度要大;用多元线性回归法对校正集建立模型,得到相关系数r为0.806;用此模型对牛肉预测集19个样本进行预测,分级正确率为84.21%。该研究说明利用近红外技术对牛肉嫩度进行预测是可行的。     

基于新型分子距边矢量ν与多元统计方法对于烷烃13C NMR化学位移和(CSS)估计与预测的深入研究

基于本实验室提出一种新型以势能形式表达的分子距边矢量, 深入地系统研究了核磁共振碳-13谱化学位移和(CSS)规律以及分子拓扑指数矢量在定量结构波谱关系(QSSR)中的应用. 借助多种计量化学方法包括多元线性回归、逐步多元回归、主成分回归、主筛选回归等进行分子拟模和定量相关研究, 发现烷烃¹³C NMR 化学位移和(CSS)与其分子距边矢量及路径长度指数有良好线性相关性, 回归方程及其统计参数为:CSS=bν+cp₃=∑_^mj=0b_jν_j+b₁₁p₃=b₀ν+b₁ν₁+b₂ν₂+b₃ν₃+b₄ν₄+b₅ν₅+b₆ν₆+b₇ν₇+b₈ν₈+b₉ν₉+b₁₀ν₁₀+b₁₁p₃=-13.576+22.179ν₁+28.407ν₂+25 .950ν₃+26.690ν₄+14.498ν₅+5.726ν₆-5.379ν₇-3.214ν₈-15.021ν₉ -25.710ν₁₀+12.278p₃ n=63, R=0.997, EV=99.68%, RMS=3.7348, SD=4.1 18, F= 773.116, U=144228.844, Q=864.938; CV: R²_CV=0.980, EV=98.83%, RMS=7.126 1, SD_CV=7.634, F_CV=221.720, U_CV=142121.891, Q_CV=2971 .896.结果良好.     

马钱子的质量控制方法研究

研究建立马钱子的两种质量控制方法,以便进行相互校验。选择适宜的测定波长或波长区间,采用计算机程序进行计算,不经提取分离直接测定马钱子中士的宁和马钱子碱的含量。士的宁的线性范围为8.0～30.0 μg·mL-1, r=0.999 9, 马钱子碱的线性范围为7.0～31.2 μg·mL-1, r=0.999 4, 两种方法对于士的宁和马钱子碱的平均回收率和相对标准偏差分别为98.18%～99.82%,0.56%～1.54%和100.5%～100.6%,0.57%～0.62%。新建立的质量控制方法简便、快速、重现性好,可作为马钱子的质量控制方法。     

紫色土土壤全氮和全磷含量的高光谱遥感预测

高光谱遥感技术是土壤养分预测的有效手段之一。以三峡库区王家沟小流域为研究区,在对土壤样本的理化性质和实验室反射光谱数据分析和测量的基础上,用偏最小二乘回归方法建立了紫色土土壤全氮和全磷含量的预测模型,并用33个水稻土土壤样本对紫色土土壤养分预测模型进行了验证。结果显示,紫色土土壤全氮预测模型得到的土壤样本预测值和实测值之间的总相关系数达到了0.672,而紫色土土壤全磷预测模型得到的相关系数只有0.498; 用紫色土土壤养分预测模型对水稻土土壤养分进行预测得到的相关系数分别为0.550和0.124。因此,用高光谱来预测紫色土土壤全氮含量具有一定的可行性,但高光谱对于紫色土全磷含量的预测效果相对较差;土壤养分预测模型在不同类型土壤之间并不具有很好的通用性。     

远焦型变焦距物镜的光组组合计算

介绍远焦型变焦距物镜的光学原理及光组组合计算方法，导出了高斯解计算公式。     

Computational singular perturbation with non-parametric tabulation of slow manifolds for time integration of stiff chemical kinetics

This paper presents a novel tabulation strategy for the adaptive numerical integration of chemical kinetics using the computational singular perturbation (CSP) method. The strategy stores and reuses CSP quantities required to filter out fast dissipative processes, resulting in a non-stiff chemical source term. In particular, non-parametric regression on low-dimensional slow invariant manifolds (SIMs) in the chemical state space is used to approximate the CSP vectors spanning the fast chemical subspace and the associated fast chemical time-scales. The relevant manifold and its dimension varies depending on the local number of exhausted modes at every location in the chemical state space. Multiple manifolds are therefore tabulated, corresponding to different numbers of exhausted modes (dimensions) and associated radical species. Non-parametric representations are inherently adaptive, and rely on efficient approximate-nearest-neighbor queries. As the CSP information is only a function of the non-radical species in the system and has relatively small gradients in the chemical state space, tabulation occurs in a lower-dimensional state space and at a relatively coarse level, thereby improving scalability to larger chemical mechanisms. The approach is demonstrated on the simulation of homogeneous constant pressure H₂–air and CH₄–air ignition, over a range of initial conditions. For CH₄–air, results are shown that outperform direct implicit integration of the stiff chemical kinetics while maintaining good accuracy.     

基于随机并行梯度下降算法的光束相干合成技术

介绍了随机并行梯度下降算法的基本原理,对算法流程进行了仿真验证,并对其中随机扰动幅度和增益系数两个关键参数进行了仿真分析。分析结果表明,这两个参数存在一个最适区间,只有在此区间内取值时算法才能有效收敛。以仿真分析为依据开展了光纤激光的相干合成实验,结果表明光束相干合成效果显著,有效地验证了仿真分析的结果。     

Fusion of infrared polarization and intensity images using support value transform and fuzzy combination rules

Infrared polarization and intensity imagery provide complementary and discriminative information in image understanding and interpretation. In this paper, a novel fusion method is proposed by effectively merging the information with various combination rules. It makes use of both low-frequency and high-frequency images components from support value transform (SVT), and applies fuzzy logic in the combination process. Images (both infrared polarization and intensity images) to be fused are firstly decomposed into low-frequency component images and support value image sequences by the SVT. Then the low-frequency component images are combined using a fuzzy combination rule blending three sub-combination methods of (1) region feature maximum, (2) region feature weighting average, and (3) pixel value maximum; and the support value image sequences are merged using a fuzzy combination rule fusing two sub-combination methods of (1) pixel energy maximum and (2) region feature weighting. With the variables of two newly defined features, i.e. the low-frequency difference feature for low-frequency component images and the support-value difference feature for support value image sequences, trapezoidal membership functions are proposed and developed in tuning the fuzzy fusion process. Finally the fused image is obtained by inverse SVT operations. Experimental results of visual inspection and quantitative evaluation both indicate the superiority of the proposed method to its counterparts in image fusion of infrared polarization and intensity images.