Active Online Learning in the Binary Perceptron Problem

The binary perceptron is the simplest artificial neural network formed by N input units and one output unit, with the neural states and the synaptic weights all restricted to ±1 values. The task in the teacher-student scenario is to infer the hidden weight vector by training on a set of labeled patterns. Previous efforts on the passive learning mode have shown that learning from independent random patterns is quite inefficient. Here we consider the active online learning mode in which the student designs every new Ising training pattern. We demonstrate that it is mathematically possible to achieve perfect(error-free) inference using only N designed training patterns, but this is computationally unfeasible for large systems. We then investigate two Bayesian statistical designing protocols, which require 2.3N and 1.9N training patterns, respectively, to achieve error-free inference. If the training patterns are instead designed through deductive reasoning, perfect inference is achieved using N + log_2N samples. The performance gap between Bayesian and deductive designing strategies may be shortened in future work by taking into account the possibility of ergodicity breaking in the version space of the binary perceptron.     

Novel Low-Power Construction of Chaotic S-Box in Multilayer Perceptron

Multilayer perceptron is composed of massive distributed neural processors interconnected. The nonlinear dynamic components in these processors expand the input data into a linear combination of synapses. However, the nonlinear mapping ability of original multilayer perceptron is limited when processing high complexity information. The introduction of more powerful nonlinear components (e.g., S-box) to multilayer perceptron can not only reinforce its information processing ability, but also enhance the overall security. Therefore, we combine the methods of cryptography and information theory to design a low-power chaotic S-box (LPC S-box) with entropy coding in the hidden layer to make the multilayer perceptron process information more efficiently and safely. In the performance test, our S-box architecture has good properties, which can effectively resist main known attacks (e.g., Berlekamp Massey-attack and Ronjom–Helleseth attack). This interdisciplinary work can attract more attention from academia and industry to the security of multilayer perceptron.     

氟丙烯在高温下的热稳定性

用单脉冲激波管研究了全氟丙烯C3F6的分解。使用H2作为清扫剂。产物包括CH4、C2F4、CF3H和C2F3H,作为对断键反应过程的指示。C3F6的断键反应为 C3F6CF3+C2F3 （1） 得到其速率常数表达式为 k（C3F6CF3+C2F3)=10(17.4±0.2)exp-(355300±8360)/(RT)s-1 温度范围为1090K相似文献   

Gaussian Beta Ensembles at High Temperature: Eigenvalue Fluctuations and Bulk Statistics

We study the limiting behavior of Gaussian beta ensembles in the regime where \(\beta n = const\) as \(n \rightarrow \infty \). The results are (1) Gaussian fluctuations for linear statistics of the eigenvalues, and (2) Poisson convergence of the bulk statistics. (2) is an alternative proof of the result by Benaych-Georges and Péché (J Stat Phys 161(3):633–656, 2015) with the explicit form of the intensity measure.     

Induced Chern-Simons Term in Three-Dimensional Space at High Temperature

Perturbative calculations of the high temperature ground-state axial vector current of fermion fields coupled to gauge fields lead to an appearance of an additional anomalous Chern-Simons topological mass term in three-dimensional effective action. In Abelian case contributions come only from the vacuum polarization graph, and in non-Abelian case contributions come from the vacuum polarization graph and the two triangle graphs.     

岩盐结构氧化锌物态方程的分子动力学模拟

利用分子动力学方法和有效经验对势模型对ZnO岩盐结构高温高压下的物态方程进行了研究， 发现分子动力学方法得到的ZnO岩盐结构的摩尔体积(300?1273 K，3.2?10.4 GPa)和实验结果吻合；另外，基于经验势模型的可靠性预测了1373?2273 K和0? 50 GPa的ZnO岩盐结构的P-V -T关系，并利用相应的热力学公式拟合得到了ZnO岩盐结构常态下的线性热膨胀系数、等温体模量及其对压力的一阶导数等重要的热力学参量．     

液态CO2高温高密度状态方程研究

 利用二级轻气炮作冲击加载手段，采用自己建立的低温靶，比较系统地研究了液态CO₂的冲击压缩行为。在20～60 GPa压力区获得六个新的Hugoniot数据点。根据这些实验点，采用液体统计力学理论和化学平衡方法，重新优化获得一组CO₂－CO₂，CO₂－O，CO－O作用势参数。分析表明，引起体系在25 GPa以上区域冲击软化现象的主要机制是CO₂离解反应，CO₂—→CO+O。     

高温高压下硬水铝石状态方程研究

 在金刚石压砧装置上,用氧化铝膜作绝热层,借助同步辐射和双面激光加温系统,分析了硬水铝石在高温高压下的结构变化,并分别用理论和实验的方法得出了其结构参数,得到了样品在不同压力温度下的体模量。这对于人们认识和研究地壳结构和地球内部物质的演化具有重要意义。研究发现,在常温和高温时其压缩率有明显不同,在高温高压范围内,其晶格常数和晶胞体积的变化非常接近样品在高压常温下的情况;而在高温低压范围内,情形和常温时有较大差别。在实验过程中并没有发现相变的产生。     

一种高温下高灵敏光纤光栅温度传感器的制作方法

提出一种充分利用光纤光栅所能承受的应变量, 显著提高了光纤光栅温度传感器在高温下的灵敏度的方法.在常温下制作传感器时, 根据传感器需要测量的温度设置光纤光栅的预松长度;当温度升高到需要测量的温度时, 光纤光栅才开始被拉紧, 传感器才开始以高灵敏度方式工作.分析了预松长度和工作温度之间的关系.实验中, 当预松长度分别为0.2 mm、0.5 mm、0.6 mm时, 工作温度分别上升了25 ℃、50 ℃、61 ℃, 并且灵敏度(约675 pm/℃)基本不变.实验结果和理论分析吻合, 较好地证实了该方法的有效性.     

高温高压下绿辉石成因研究

在3 GPa,1 200 ℃条件下,分别以碱性玄武岩粉末和等化学计量光谱纯试剂为原料进行高温高压熔融结晶实验,对实验产物进行了电子探针测试和拉曼光谱分析,确定结晶产物为绿辉石,其拉曼谱峰的半高宽较窄且形态尖锐,表明绿辉石晶体中Si—O四面体结构稳定,矿物内部有序度高。结合前人研究成果探讨了绿辉石成因的影响因素及其原始岩浆,结果表明绿辉石的形成可能受母岩成分、体系流体含量和温压条件等多种因素影响。本实验结果为绿辉石和榴辉岩成因学研究提供可能的实验依据。     

白硅钙石的高温高压拉曼光谱研究

利用活塞圆筒装置在1.2 GPa,1 473 K的条件下合成了白硅钙石。采用外加热装置和金刚石压腔结合拉曼光谱分析技术,采集了白硅钙石298,353,463,543,663,773以及873 K温度区间的常压及1 atm～14.36 GPa(常温)压力区间的拉曼谱图。扫描电镜下,该研究合成的样品为结构一致的单一相,颗粒大小为10～20 μm。电子探针分析结果表明,样品的组成为Ca_7.03(2)Mg_0.98(2)Si_3.94(2)O₁₆,该组分完全吻合白硅钙石理论组分。Raman分析结果表明,高温时白硅钙石的拉曼谱图中具有29个振动峰。随着温度的升高,部分振动峰出现了合并或者弱化消失的现象。该现象尤其以800～1 200 cm-1范围内的909,927和950 cm-1振动峰峰位最为明显,这些振动峰分别在873,773以及873 K时弱化消失。据此,白硅钙石的结构在实验温压范围内稳定,且随着温度和压力的升高,其拉曼振动峰峰位分别呈现往低频和高频方向线性飘移的趋势。除此之外,根据高温和高压拉曼实验的结果,分别计算了白硅钙石拉曼振动峰峰位的等压mode-Grüneisen参数和等温mode-Grüneisen参数,其算术平均值分别为1.47(2)和0.45(3)。最后结合高温和高压拉曼实验的结果,计算了白硅钙石的非谐系数,结果表明,Si-O振动模式对于非谐效应的贡献要小于其他振动模式。     

On the Phase Transformations in Cr–FeB and Fe–CrB Systems at High Temperature

The solid state interactions occurring at high temperature in the Cr–FeB and Fe–CrB systems were studied by transmission Mössbauer and X-ray diffraction techniques on samples prepared by powders carefully mixed, cold-compacted and then treated at 1000°C for times up to 16 h. In the Cr–FeB system, iron atoms liberated by the substitutional diffusion of Cr into FeB lattice preferentially destabilize the iron monoboride with formation of Cr-containing Fe₂B. In the Fe–CrB system, chromium atoms liberated by the substitutional diffusion of Fe into CrB lattice interacts with iron forming an Fe–Cr metal alloy. Moreover, zones of Cr-containing FeB and Fe₂B form at the contact between metal iron and chromium monoboride, and tend to disappear as iron is consumed by the alloying process.     

Temperature elevation generated by a focused Gaussian ultrasonic beam at a tissue-bone interface

When a focused Gaussian ultrasonic beam in soft tissue normally impinges on the boundary of a contiguous bone, reflection and transmission occur. Taking account of the reflection, the steady-state temperature elevation along the beam axis for this case was calculated. The effect of perfusion is also included.     

Quark-Gluon Interactions at High Temperature and Large Distances

Continuum fourdimensional Quantum Chromodynamics (QCD) including quarks in the regime of high temperature and large distances (the HT regime) is studied to all perturbative orders. The imaginary time (τ) formalism is used. Then, as shown in previous works, QCD is described by a new generating functional Z_HT, in which quark fields retain their dependences on τ, while gluon and ghost fields are τ-independent. The invariance of Z_HT under BRST transformations in the HT regime is exhibited: it closed quark and electric gluon loops in the HT regime are obtained. The electric mass terms in Z_HT. Infinite sets of non-abelian Ward identities for the closed quark and electric gluon loops in the HT regime are obtained. The electric mass terms in Z_HT are shown to be infrared finite. We prove to all perturbative orders that one can regard as subdominant, and, hence, neglect consistently the contributions of :i) all closed electric gluon loops, ii) all closed quark loops with three or more vertices in diagrams having an even number of electric gluons (or none) in the external lines. In the HT regime, the axial anomalies are obtained: their expressions in terms of τ-independent gluon fields are similar to those for zero temperature. A non-trivial renormalization group (RG) equation in the HT regime, specifically due to the quark-gluon interaction, is presented. A positive beta function is obtained, and it is argued that interactions are not weak in that regime. The RG and the perturbative analysis to all orders appear to indicate that quarks and gluons may be confined in the HT regime (and, in particular in the Early Universe), due to the infrared divergent magnetic gluon sector. Other possibilities are also discussed.     

Entanglement Dynamics of Two Qubits Coupled to a Noise Environment

We study the time evolution of two two-state systems （two qubits） initially in the pure entangled states or the maximally entangled mixed states interacting with the individual environmental noise. It is shown that due to environment noise, all quantum entangled states are very fragile and become a classical mixed state in a short-time limit. But the environment can affect entanglement in very different ways. The type of decoherence process for certain entangled states belongs to amplitude damping, while the others belong to dephasing decoherenee.     

σ和φ介子对有限温度中子星物质的影响

考虑到σ*,φ介子的贡献及重子八重态{n,p,Λ,Σ^－,Σ⁰,Σ⁺,Ξ^－,Ξ⁰}, 采用相对论平均场方法,在5—25MeV的有限温度范围内, 对中子星物质的性质进行了研究. 发现当考虑到σ*,φ介子的贡献后, 超子出现的临界密度降低了(但对Λ超子, 影响并不显著), 超子的粒子数密度增加了, 在能量密度较高时物态方程变软, 中子星的最大质量变小而相应的半径增大, 中子星的中心粒子数密度、中心能量密度和中心压强都降低了. 当温度为较低的T=5MeV, 10MeV时, σ*,φ介子的参与使出现Σ⁰,Ξ⁰,Σ⁺超子的临界密度极大地降低了; 但当温度为较高的T=15MeV, 20MeV, 25MeV时, 影响则较小. 对于Λ,Σ^－,Ξ^－超子来说, 在上述所有温度下, σ*,φ介子对超子出现的临界密度的影响都不明显.     

High-order squeezing of pure superposition states

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Amplitude-N-power squeezing of pure superposition states

The N-order squeezing of the pure superposition states |a,β>_(mn)=a|m> β|n> is studied. We find that there is only N=n—m order squeezing for odd (n—m) except for (n—m)=1(m≥1) , but there are N=n—m order and N=(n—m)/2 order squeezings for even (n—m).     

高温高压下文石和方解石的拉曼光谱研究

利用金刚石压腔结合拉曼光谱分析技术,研究了文石在18～388 ℃,71～2 014 MPa,以及方解石在19～351 ℃,96～1 823 MPa条件下的拉曼光谱特征,并得到文石和方解石的拉曼位移与温度、 压力三者之间的关系式。研究结果表明,文石和方解石的拉曼位移随温度压力的变化规律相似,都随压力升高向高频移动,除文石的704 cm-1外均随温度升高向低频移动。二者的晶格振动ν_i/T值均大于[CO₃]基团内振动的值,说明CaO₆八面体的热膨胀性大于[CO₃]基团的热膨胀性。二者的对称伸缩振动ν/T及ν/P值不同,由于该振动拉曼位移和C—O键的键长有关,方解石的C—O键的热膨胀性比文石小而可压缩性比文石大。另外升温升压过程中文石和方解石可以相互转化,伴随该过程发生的[CO₃]基团旋转变形等动力学因素也可以造成二者ν_i/T和ν_i/P值差异。     

氮化铝结构的高温Raman光谱分析

本文测量了氮化铝在不同温度下的Raman光谱 ,并确定了氮化铝的光学声子模E2 1、A1(TO)、E2 2 、E1(TO)、A1(LO)和E1(LO)Raman散射峰的频率 ,它们分别为 2 5 2cm- 1、6 1 4cm- 1、6 5 8cm- 1、6 72cm- 1、894cm- 1和 91 2cm- 1,其中光学声子模A1(TO)、E2 2 的Raman散射峰比较明显。随着温度的升高 ,A1(TO)、E2 2 散射峰的频率向低波数方向变化 ,表明氮化铝粉末压制体中存在的压应力逐渐减小 ;这两个散射峰的半高宽逐渐增大 ,说明随着温度的升高 ,存在氮原子和铝原子的扩散使得氮化铝粉末压制体中晶体结构逐渐发生变化。由于氮化铝粉末本身在空气中易与水蒸气发生反应 ,生成的Al(OH) 3 或AlOOH在加热过程会发生分解 ,干扰样品高温Raman光谱测量。