流形学习算法分析及在人脸数据库上的应用

为了更高效的处理高维数、高复杂性的非线性数据,发现其嵌入在源数据空间中的本维特征,提出了基于局部光滑逼近思想的流形学习算法,通过局部线性误差逼近最小化,实现将高维数据映射到低维空间.在FREY人脸数据库上进行降维实验,证明了该方法的可行性和有效性.     

用断裂力学研究混凝土裂缝的允许灌浆压力

混凝土大坝在施工期或运行期产生裂缝的现象较为普遍,为了满足工程安全运行要求,一般对危害较大的裂缝进行灌浆处理.灌浆压力是裂缝灌浆中非常重要的设计参数,合理选择灌浆压力是控制灌浆质量好坏的关键.但灌浆压力同时又是作用于缝面的劈裂力,如果灌浆压力控制不当,会导致裂缝因注浆劈裂而扩展.文中从简单模型出发,研究混凝土裂缝灌浆临界压力以及灌浆压力对裂缝稳定性的影响,从而研究不同缝长和不同约束条件下混凝土裂缝安全灌浆压力.     

The special‐linear update: An application of differential manifold theory to the update of isochoric plasticity flow rules

The evolution of plastic deformations in metals, governed by incompressible flow rules, has been traditionally solved using the exponential mapping. However, the accurate calculation of the exponential mapping and its tangents may result in computationally demanding schemes in some cases, while common low‐order approximations may lead to poor behavior of the constitutive update because of violation of the incompressibility condition. Here, we introduce the special‐linear (SL) update for isochoric plasticity, a flow‐rule integration scheme based on differential manifolds concepts. The proposed update exactly enforces the plastic incompressibility condition while being first‐order accurate and consistent with the flow rule, thus bearing all the desirable properties of the now standard exponential mapping update. In contrast to the exponential‐mapping update, we demonstrate that the SL update can drastically reduce the computing time, reaching one order of magnitude speed‐ups in the calculation of the update tangents. We demonstrate the applicability of the update by way of simulation of single‐crystal plasticity uniaxial loading tests. We anticipate that the SL update will open the way to efficient constitutive updates for the solution of complex multiscale material models, thus making it a very promising tool for large‐scale simulations. Copyright © 2013 John Wiley & Sons, Ltd.     

The cognitive differentiation-integration effort hypothesis: A synthesis between the fitness indicator and life history models of human intelligence.

This article presents a potential synthesis between the fitness indicator and life history models of human intelligence through consideration of the phenomena of ability differentiation and integration. The cognitive differentiation-integration effort hypothesis proposes that these effects result from a life history tradeoff between cognitive integration effort, a mating effort component associated with strengthening the positive manifold amongst abilities; and cognitive differentiation effort, a somatic effort component associated with the cultivation of specific abilities. This represents one of two largely independent sources of genetic variance in intelligence; the other is mediated by general fitness and mutation load and is associated with individual differences in levels of 'genetic g'. These two sources (along with a common source of environmental variance) combine to give rise to a variety of cognitive phenotypes characterized by different combinations of high or low levels of 'genetic g' and cognitive specialism or generalism. Fundamental to this model is the assumption that measures of life history speed (K) and g are essentially independent, which is demonstrated via meta-analysis of 10 studies reporting correlations between the variables (ρ = .023, ns, n = 2056). The implications of the model are discussed in an evolutionary, ecological, and developmental context. Seven key predictions are made in the discussion which if tested could provide definitive evidence for the hypothesis. (PsycINFO Database Record (c) 2011 APA, all rights reserved)     

Neighbourhood preserving discriminant embedding in face recognition

In this paper, we present an effective technique on discriminative feature extraction for face recognition. The proposed technique incorporates Graph Embedding and the Fisher’s criterion where we call it as Neighbourhood Preserving Discriminant Embedding (NPDE). Utilizing the Graph Embedding criterion, the underlying nonlinear face data structure is revealed as representative and discriminative features for analysis. We employ Neighbourhood Preserving Embedding (NPE) for the purpose. NPE takes into account the restriction that neighbouring points in the high-dimensional space must remain within the same neighbourhood in the low dimension space and be located in a similar relative spatial situation (without changing the local structure of the nearest neighbours of each data point). Furthermore, by taking the advantage of the Fisher’s criterion, the discriminating power of NPDE is further boosted. Based on this intuition, NPDE obtains better discriminative capability and experimentally verified in ORL, PIE and FRGC.     

关于杂化弦的全纯几何(Ⅰ)

杂化弦的共形不变性和超共形不变性可用圈和超圈的微分同胚群 DiffS~1和Super-DiffS~1描述.基圈的重参数化形成商空间 M=DiffS~1/S~1和N=Super—DiffS~1/S~1.它们是无限维的 Kahler 流形和超 Kahler 流形.本文研究这些无限维流形的全纯几何.用陪集空间的技术讨论了它们的辛结构,通过在 M 和 N 上引入全纯坐标和夏结构我们计算了在原点邻域内的 Killing 矢量,给出了 M 和 N 上的Riemann 度规.这些结果在研究杂化弦的共形反常时有用.     

K－流形的全殆切触脐半不变子流形

本文讨论了一类新的殆切触黎曼流形的全殆切触脐半不变子流形，得到了这类子流形的微分几何方面的重要结果。     

极小子流形与调和映射的稳定性

在本文中,我们利用活动标架法研究了极小子流形与调和映射的稳定性。从而得到了一些关于拟常曲率流形不存在任何稳定极小浸入的充分条件,同时也得到了一个关于球面的子流形不存在从这个流形到任何黎曼流形的任何非常值稳定调和映射的充分条件。     

Exact internal controllability for shallow shells

The internal control problem is considered, based on the linear displacement equations of shallow shell. It is shown, with some checkable geometric conditions on control region, that the undergoing shallow shell is exactly controllable by using Hilbert uniqueness method (HUM), piecewise multiplier method and Riemannian geometry method. Then some examples are given to show the assumed geometric conditions.