Bayesian localization in an uncertain ocean environment

In order to improve the ability to localize a source in an uncertain acoustic environment,a Bayesian approach,referred to here as Bayesian localization is used by including the environment in the parameter search space.Genetic algorithms are used for the parameter optimization.This method integrates the a posterior probability density(PPD) over environmental parameters to obtain a sequence of marginal probability distributions over source range and depth,from which the most-probable source location and localization uncertainties can be extracted.Considering that the seabed density and attenuation are less sensitive to the objective function of matched field processing,we utilize the empirical relationship to invert those parameters indirectly.The broadband signals recorded by a vertical line array in a Yellow Sea experiment in 2000 are processed and analyzed.It was found that,the Bayesian localization method that incorporates the environmental variability into the processor,made it robust to the uncertainty in the ocean environment.In addition,using the empirical relationship could enhance the localization accuracy.     

不确知海洋环境下的贝叶斯声源定位法

为了提高不确知海洋环境下的声源定位性能,贝叶斯声源定位法将环境参数与声源位置同时反演。该方法利用遗传算法在参数空间中寻优,将后验概率密度在环境参数起伏变化范围内积分,得到声源距离和深度的边缘概率分布,从中求得声源位置的最优值,并进行定位结果的不确定性分析。考虑到海底密度和衰减系数对匹配场处理代价函数的敏感性较弱,利用海底参数之间的经验关系实现这两个参数的间接反演。处理并分析了2000年的一次黄海声传播实验数据,研究表明,贝叶斯声源定位法对环境失配有较好的宽容性。采用经验公式可减少待反演参量维数,进一步提高定位的精度。     

Bayesian multiple-source localization in an uncertain ocean environment

This paper considers simultaneous localization of multiple acoustic sources when properties of the ocean environment (water column and seabed) are poorly known. A Bayesian formulation is developed in which the environmental parameters, noise statistics, and locations and complex strengths (amplitudes and phases) of multiple sources are considered to be unknown random variables constrained by acoustic data and prior information. Two approaches are considered for estimating source parameters. Focalization maximizes the posterior probability density (PPD) over all parameters using adaptive hybrid optimization. Marginalization integrates the PPD using efficient Markov-chain Monte Carlo methods to produce joint marginal probability distributions for source ranges and depths, from which source locations are obtained. This approach also provides quantitative uncertainty analysis for all parameters, which can aid in understanding of the inverse problem and may be of practical interest (e.g., source-strength probability distributions). In both approaches, closed-form maximum-likelihood expressions for source strengths and noise variance at each frequency allow these parameters to be sampled implicitly, substantially reducing the dimensionality and difficulty of the inversion. Examples are presented of both approaches applied to single- and multi-frequency localization of multiple sources in an uncertain shallow-water environment, and a Monte Carlo performance evaluation study is carried out.     

基于贝叶斯分层模型的MCMC方法在闪光图像重建中的应用

针对闪光图像得到的光程数据,采用贝叶斯分层模型建立了后验概率模型,运用Gibbs抽样动态构造马尔可夫链;进而获得了关于线吸收系数的统计结果及其不确定度,并与约束共轭梯度(CCG)方法进行对比分析。数值实验结果表明,马尔可夫链蒙特卡罗(MCMC)方法对理想光程图像的重建结果与真值近似完全一致;在含模糊和噪声时,重建结果与CCG方法相当;当含模糊且噪声干扰较大时,MCMC方法的重建结果要略优于CCG;更重要的是MCMC方法能够给出重建结果的不确定度。     

Review of force reconstruction techniques

An important engineering problem is the recovery of the input of a system given its output. This is a difficult problem to solve in that it is often an ill-defined problem. Such ill-posedness is problematic since noise becomes very influential and results in inaccurate or non-unique solutions. To combat this ill-posedness, additional constraints are typically applied to redefine the problem, leading to a well-defined problem with a unique solution. Current input reconstruction methods span the spectrum of analysis and computation, and we have grouped them into three categories: Direct, Regularization, and Probabilistic/Statistical. Each of these groups is divided into several subsets that offer different perspectives in which to view the reconstruction problem. Our primary interests lie in the behavior of mechanical systems and, as such, we have focused on the literature in these fields. However, applicability includes other fields with the same and similar governing equations.     

Evacuation behaviors at exit in CA model with force essentials: A comparison with social force model

The problem of emergent evacuation is of obvious importance in common life. However, many existing evacuation models are either computationally inefficient, or are missing some crucial human behaviors in crowds. In this paper, we improve a cellular automata (CA) model introduced recently, which quantifies evacuation process with three basic forces, and compare its performance with the social force model introduced by Helbing et al. in an 200-people evacuation of a single-exit square room. The main characteristics compared include arching, clogging and faster-is-slower behaviors, as well as the evacuation time. The results show that the two models are comparable in all calculations, indicating that the three forces, i.e., repulsion, friction and attraction, are basic reasons for complex behaviors emerged from evacuation. Furthermore, because of its simple rules and fast calculation speed, the discussed CA model is easily analyzed and is very helpful to the applications.     

Bayesian reconstruction of the density of states

A Bayesian framework is developed to reconstruct the density of states from multiple canonical simulations. The framework encompasses the histogram reweighting method of Ferrenberg and Swendsen. The new approach applies to nonparametric as well as parametric models and does not require simulation data to be discretized. It offers a means to assess the precision of the reconstructed density of states and of derived thermodynamic quantities.     

不确实海洋环境下的贝叶斯匹配场处理

讨论了一种不确实海洋环境下贝叶斯匹配场处理方法。该方法在不确实环境下匹配场处理时,对不确实知识进行建模,同时,充分利用阵接收的空时数据,找到了匹配场处理时一种结合模基和数据驱动的机制。经理论推导、仿真分析以及实验海试数据验证,结果表明:(1)最小方差无偏响应(MVDR)、Bartlett等匹配场处理器是贝叶斯处理器的基本单元;(2)贝叶斯匹配场处理是对应的MVDR匹配场处理、Bartlett匹配场处理器等匹配场处理方法的后验概率加权和;(3)不确实海洋环境下,贝叶斯方法比对应的MVDR处理器和Bartlett处理器能更准确地对目标进行定位;(4)贝叶斯方法能较有效地抑制旁瓣。     

Nanolithography with an atomic force microscope

A lithographic technique, employing the vibrating tip of an atomic force microscope to mechanically pattern various materials such as photoresist, metals or semiconductors in the nanometre regime has been developed. We use this technique for the fabrication of etch masks as well as for the patterning of evaporation shadow masks.The tip quality has been found to be a crucial factor in the lithographic resolution. We therefore use ultra hard, amorphous carbon tips, which are prepared by electron beam deposition in an electron microscope. With these tips, additionally sharpened in an oxygen plasma, we now succeed in fabricating hole arrays with periods in the 10 nm regime. These hole arrays are transferred to the electron system of a GaAs–AlGaAs heterostructure, and the magneto resistance of such fabricated antidot arrays is discussed.     

Inclusion of the spin-orbit force in an α-cluster model

A simplified treatment is proposed to take into account the effect of the spin-orbit force within the framework of the conventional α-cluster model for light nuclei. It is very important for a study of the stability of α-cluster structure in light nuclei to include the effect of the spin-orbit force, but it has been considered that its inclusion is not so easy because (0s)⁴ internal states are usually assumed for α-clusters in the model. The proposed method introduces states with [44…431] spatial symmetry by means of an operator which is just equal to a one-body spin-orbit potential. The method is applied to a 3α cluster model for ¹²C.     

Lattice dynamics of calcium fluoride by an angular force model

The lattice dynamics of CaF₂ has been studied on the basis of a noncentral model using CGW type angular forces. The experimental data agree with the data obtained for the dispersion curves. The model has also been used to calculate lattice specific heat and Debye-Waller factors.     

Polaron with an arbitrary coupling force

The diagrammatic technique is used to find the mass operator, whose use in solving the dispersion equation determines the dependence of the energy of the ground state of a polaron on the arbitrary value of the coupling constant .Translated from Izvestiya Vysshykh Uchebnykh Zavedenii, Fizika, No. 8, pp. 71–77, August, 1984.     

A Bayesian approach to matched field processing in uncertain ocean environments

An approach of Bayesian Matched Field Processing （MFP） was discussed in the uncertain ocean environment. In this approach, uncertainty knowledge is modeled and spatial and temporal data received by the array are fully used. Therefore, a mechanism for MFP is found, which well combines model-based and data-driven methods of uncertain field processing. By theoretical derivation, simulation analysis and the validation of the experimental array data at sea, we find that （1） the basic components of Bayesian matched field processors are the cor- responding sets of Bartlett matched field processor, MVDR （minimum variance distortionless response） matched field processor, etc.; （2） Bayesian MVDR/Bartlett MFP are the weighted sum of the MVDR/Bartlett MFP, where the weighted coefficients are the values of the a posteriori probability; （3） with the uncertain ocean environment, Bayesian MFP can more correctly locate the source than MVDR MFP or Bartlett MFP; （4） Bayesian MFP can better suppress sidelobes of the ambiguity surfaces.     

Sparse Bayesian reconstruction method for multispectral bioluminescence tomography

We present a sparse Bayesian reconstruction method based on multiple types of a priori information for multispectral bioluminescence tomography （BLT）. In the Bayesian approach, five kinds of a priori information are incorporated, reducing the ill-posedness of BLT. Specifically, source sparsity characteristic is considered to promote reconstruction results. Considering the computational burden in the multispectral case, a series of strategies is adopted to improve computational efficiency, such as optimal permissible source region strategy and node model of the finite element method. The performance of the proposed algorithm is validated by a heterogeneous three-dimensional （3D） micron scale computed tomography atlas and a mouse-shaped phantom. Reconstructed results demonstrate the feasibility and effectiveness of the proposed algorithm.     

Thermodynamic model for feedback control of systems with uncertain macroscopic states

Thermodynamics of feedback control processes, including the minimum work consumption of measurement, work extraction, and erasure processes of thermodynamic small systems have been investigated by researchers. We take systems with uncertain macroscopic states as the study object and study the feedback control processes of nonequilibrium macroscopic systems considering both the information entropy of microscopic states and macroscopic states. First we consider a system set that consists of systems with several macroscopic states and discuss the relations among the average information entropy of the system set, the thermodynamic entropy of the systems and the information entropy of macroscopic states of the systems. Then, we derive the expression of the average maximum net work obtained through feedback control, which relates to the free energy of the systems and the minimum work consumption of the measurement and erasure processes.     

Brownian pump with an unbiased external force

We investigate Brownian pump transport in the presence of an unbiased external force. The pumping system is embedded in a finite region bounded by two particle reservoirs. In the adiabatic limit, we obtain the analytical expressions of the current and the concentration ratio. We find that Brownian particles can be pumped through an asymmetric potential from a particle reservoir at low concentration to one at the same or higher concentration in the presence of an unbiased external force.      

Anticontrol of chaos for discrete-time fuzzy hyperbolic model with uncertain parameters

This paper proposes a new method to chaotify the discrete-time fuzzy hyperbolic model （DFHM） with uncertain parameters. A simple nonlinear state feedback controller is designed for this purpose. By revised Marotto theorem, it is proven that the chaos generated by this controller satisfies the Li-Yorke definition. An example is presented to demonstrate the effectiveness of the approach.     

Photoacoustic image reconstruction based on Bayesian compressive sensing algorithm

The photoacoustic tomography (PAT) method, based on compressive sensing (CS) theory, requires that, for the CS reconstruction, the desired image should have a sparse representation in a known transform domain. However, the sparsity of photoacoustic signals is destroyed because noises always exist. Therefore, the original sparse signal cannot be effectively recovered using the general reconstruction algorithm. In this study, Bayesian compressive sensing (BCS) is employed to obtain highly sparse representations of photoacoustic images based on a set of noisy CS measurements. Results of simulation demonstrate that the BCS-reconstructed image can achieve superior performance than other state-of-the-art CS-reconstruction algorithms.     

基于自适应本征正交分解混合模型的跨音速流场分析

采用非线性模型替代线性回归模型响应本征正交分解(POD)基函数的系数,并采用自适应抽样方法确定快照集合,实现了基于自适应POD混合模型的跨音速叶片复杂流动分析及流场拟合.首先通过比较基于线性回归模型和非线性回归模型的基函数系数响应精度,验证非线性回归模型的收敛性和精确性;之后通过与静态抽样方法进行对比,研究分析自适应抽样技术的优越性;最后开展基于自适应POD混合模型的全三维跨音速流场分析及流动拟合.结果表明,采用自适应POD混合模型,不仅能够清晰地识别三维跨音速流场中的敏感流动特征,还能精确地拟合设计空间内任意状态的流场及出口气动参数.     

A non-linear fluid force model for vortex-induced vibration of an elastic cylinder

Even under the assumption of a sinusoidal lift and drag force at a single frequency for a stationary cylinder in a cross flow, higher harmonics that represent non-linearity in the fluid-structure interaction process are present. This fact is considered in the formulation of a non-linear fluid force model for a freely vibrating cylinder in a cross flow. The force model is developed based on an iterative process and the modal analysis approach. The fluid force components in the model can be evaluated from measured vibration data with the help of the auto-regressive moving averaging (ARMA) technique. An example is used to illustrate that non-linear (higher order) force components are present at resonance, even for a case with relatively weak fluid-structure interaction. Further analysis reveals that the fluid force components are dependent on structural damping and mass ratio. The non-linear fluid force model is further modified by taking these considerations into account and is used to predict the dynamic characteristics of a freely vibrating cylinder over a range of Reynolds numbers, mass and structural damping ratios. On comparison with measurements obtained from four different experiments and predictions made by previous single-degree-of-freedom model, good agreement is found over a wide range of these parameters.