Dimensionality Reduction of SPD Data Based on Riemannian Manifold Tangent Spaces and Isometry

Symmetric positive definite (SPD) data have become a hot topic in machine learning. Instead of a linear Euclidean space, SPD data generally lie on a nonlinear Riemannian manifold. To get over the problems caused by the high data dimensionality, dimensionality reduction (DR) is a key subject for SPD data, where bilinear transformation plays a vital role. Because linear operations are not supported in nonlinear spaces such as Riemannian manifolds, directly performing Euclidean DR methods on SPD matrices is inadequate and difficult in complex models and optimization. An SPD data DR method based on Riemannian manifold tangent spaces and global isometry (RMTSISOM-SPDDR) is proposed in this research. The main contributions are listed: (1) Any Riemannian manifold tangent space is a Hilbert space isomorphic to a Euclidean space. Particularly for SPD manifolds, tangent spaces consist of symmetric matrices, which can greatly preserve the form and attributes of original SPD data. For this reason, RMTSISOM-SPDDR transfers the bilinear transformation from manifolds to tangent spaces. (2) By log transformation, original SPD data are mapped to the tangent space at the identity matrix under the affine invariant Riemannian metric (AIRM). In this way, the geodesic distance between original data and the identity matrix is equal to the Euclidean distance between corresponding tangent vector and the origin. (3) The bilinear transformation is further determined by the isometric criterion guaranteeing the geodesic distance on high-dimensional SPD manifold as close as possible to the Euclidean distance in the tangent space of low-dimensional SPD manifold. Then, we use it for the DR of original SPD data. Experiments on five commonly used datasets show that RMTSISOM-SPDDR is superior to five advanced SPD data DR algorithms.     

Temperature and velocity dependence of the mechanical properties of intermetallic compound Ni3Al. II

This paper examines the retardation of superdislocations in LI₂ superstructure, due to the capture by superpartial dislocations (SPD) of atomic defects on the slip plane, and also resulting from diffusion of atomic defects in PD. When the jogs formed by the settling of defects on dislocations remain nondissociated, the sliding of superdislocations is accompanied by the generation of displaced rows of atoms the maximum linear energy of which in the L1₂ superstructure amounts to v/b (v is the ordering energy, b the interatomic distance). The maximum magnitude of retardation of superdislocations, dependent upon generation of displaced rows, is twice as high on cubic planes as on octahedral planes. The estimations presented indicate that the diffusion settling of atomic defects on the SPD of sliding superdislocations can be a cause of the anomalous temperature dependence of flow stresses under high temperatures. Some effects associated with the possible dissociability of jogs on SPD are examined.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii Fizika, No. 10, pp. 63–67, October, 1971.The authors express their thanks to É. V. Kozlov for helpful discussion.     

Steady-state analysis subject to a coloured and a white additive of a bistable system multiplicative noise noise with coloured cross-correlated noises

The steady-state properties of a bistable system are investigated when both the multiplicative noise and the coupling between additive and multiplicative noises are coloured with different values of noise correlation times T1 and T2. After introducing a dimensionless parameter R（R = α/D, D is the intensity of the multiplicative noise and a is the intensity of the additive noise）, and performing the numerical computations, we find the following points： （1） For the case of R 〉 1, A （the intensity of correlation between additive and multiplicative noises）, T1 and T2 can induce the stationary probability distribution （SPD） transition from bimodal to unimodal in structure, but for the cases of R _〈 1, the bimodal structure is preserved; （2） a can also induce the SPD transition from bimodal to unimodal in structure; （3） the bimodal structure of the SPD exhibits a symmetrical structure as D increases.     

Severe plastic deformation of amorphous alloys: I. Structure and mechanical properties

The basic regularities of variation in the structure and mechanical properties of amorphous Ni₄₄Fe₂₉Co₁₅Si₂B₁₀ alloy at severe plastic deformation (SPD) in a Bridgman cell at different temperatures are considered. It is shown that SPD is accompanied by homogeneous nanocrystallization, which is caused by the plastic flow mode. The transition from inhomogeneous mode of plastic flow to a qualitatively different one has been detected. The SPD structural model of deformational “dissolving” of crystals is proposed to explain why nanocrystals no more than 10 nm in size are observed during SPD. It is found that thermally activated nanocrystallization may occur at very low temperatures (77 K) under very high stress and with a high concentration of excess free volume.     

Comparing specific features of the structural formation of aluminum alloys during severe and intense plastic deformation

We compare the deformation behavior and specific features of the structural formation of two aluminum alloys, AMTs and V95, upon megaplastic (MPD) and severe plastic (SPD) deformation. It is established that upon SPD by dynamic channel angular pressing, a submicron crystalline structure is formed with grain sizes of 200 to 600 nm; and that upon MPD by high quasi-hydrostatic pressure shearing, a nanostructure is formed with grain sizes of 55 to 100 nm. The sequence of the phase and structure transition is established for an increase in the rate of deformation and velocity of the materials. Mechanisms of elastic energy relaxation are determined as a function of the extent of dislocation mobility.     

Identification of striking distance considering the velocity ratio and competition among the leaders

The striking distance is an important parameter to design a reliable lightning protection system. To protect an object against direct strikes, an improved leader progression model combined fractal geometry and the leader initiation criteria proposed by M. Becerra is introduced to determine the striking distance on a given structure. Both the deterministic and stochastic features of the lightning leader are considered and more detailed three-dimensional numerical simulation of the leader discharge is achieved due to the application of extended grid. Some of the basic methods and strategies are outlined and the influence on protection zone caused by leader velocity ratio is analyzed. Moreover, a comparative analysis of the results obtained through the improved model, the rolling sphere method and the Cooray model is performed. The results indicate that the presented method is closer to the natural lightning and the selection of the breakdown point is actually a complex competitive process among numerous upward leaders.     

Fluctuations of Single-Mode Laser Driven by Two Different Kinds of Colored Noise

A single-mode laser with coupling between additive and multiplicative noise terms is investigated when the multiplicative noise and the coupling between two noise terms are colored fluctuations with finite correlation times T1 and τ2. Combining the unified colored noise approximation (UCNA) and the functional analysis, the stationary probability distribution (SPD) and the variance of the laser intensity is derived. It is found that the colored nature of multiplicative noise and the coupling strength between two noise terms can affect both the structure and the height of the SPD, while the colored nature of the coupling between two noise terms can only affect the height of the SPD. The multiplicative noise can enhance the intensity fluctuations while the additive noise can reduce the fluctuations in a laser system. Numerical simulations are presented and consistent to the analytical results.     

Photon-counting laser ranging with InGaAs/InP avalanche photodiode in the passively quenched and 1-GHz sinusoidally gated

We experimentally studied photon-counting laser ranging at 1550 nm using InGaAs/InP avalanche photodiode based single-photon detectors (SPDs). The SPDs operated in the passive quenching and 1-GHz sinusoidal gating Geiger modes, corresponding to continuous and quasi-continuous photon-counting ranging, respectively. Despite that the passively quenched SPD provided relatively high effective detection efficiency, quasi-continuous photon-counting ranging excelled the continuous one with fast acquisition speed and improved depth resolution due to the short deadtime and low timing jitter of the SPD in 1-GHz sinusoidally gated mode.     

Distinctive features of plastic strain localization under severe plastic deformation of metals

Mechanical testing is performed and the structure of zirconium and aluminum predeformed by ∼450% using multiaxial forging (MAF) and equal channel angular pressing (ECAP) is investigated. Tensile loading tests of the severely deformed specimens exhibited their tendency to necking, with the ductility of the material in the neck, however, being superior to that in the neck of initial coarse-grained specimens. The results of the experiments imply that a fundamental stage of plastic flow of solids under severe plastic deformation (SPD) is the formation of cellular-banded structure and strain localization in the fine-grain bands. This considerably retards further deformation-induced refinement of the structure by SPD, and also results in the rapid formation of a fracture neck in the materials with this structure. __________ Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 11, pp. 43–49, November, 2007.     

Transitions induced by time delays and cross-correlated sine-Wiener noises in a tumor-immune system interplay

A model of tumor-immune system interplay with time delays and cross-correlated sine-Wiener noises is investigated by numerical simulations for the stationary probability distribution (SPD) and stationary mean value 〈x〉_st of tumor cell population. Results show that (i) the structure of the SPD transfers from bimodal to unimodal as the reaction time (τ_α) of the cell population to environmental constraints increases; (ii) conversely, as the time (τ_β) of immune system to develop specific immune competence and the correlation time (τ) of noises increase, the structure of the SPD transfers from unimodal to bimodal; (iii) as the cross-correlated intensity (λ^′) between noises increases, the transitions induced by τ are suppressed.     

Influence of non-Gaussian noise on a tumor growth system under immune surveillance

In this paper, the stationary probability distribution (SPD) function and the mean first passage time (MFPT) are investigated in a tumor growth model driven by non-Gaussian noise which is introduced to mimic random fluctuations in the levels of the immune system. Results demonstrate the different transitions induced by the strength of non-Gaussian noise under different immune coefficients and the dual roles of non-Gaussian noise in promoting host protection against cancer and in facilitating tumor escape from immune destruction. Additionally, it can be discovered that increases in noise strength, the degree of departure from Gaussian noise, and the immune coefficient can accelerate the extinction of tumor cells. Numerical simulations are performed, and their results present good agreement with the theoretical results.     

Strength Characteristics and Fracture of Ultrafine-Grained Titanium Grade 4 Processed by Equal Channel Angular Pressing—Conform

Technical Physics - Processing of metals and alloys by severe plastic deformation (SPD) is accompanied by refinement of the material grain structure, which can increase their physicomechanical...     

DNA凝聚性质的紫外光谱研究

为探讨DNA凝聚的性质和机制,探究了不同浓度的精胺、亚精胺和三氯六氨合钴对小牛胸腺DNA紫外吸收的影响。精胺、亚精胺与DNA相互作用在紫外光谱上具有相似特征,随着它们浓度的增加紫外光谱在260nm处都有先增色,后减色,再增色的趋势;随着三氯六氨合钴浓度的升高紫外光谱出现先减色,后增色。精胺、亚精胺和三氯六氨合钴与DNA相互作用均能使DNA凝聚,但作用方式有所不同。三氯六氨合钴较之精胺、亚精胺与DNA相互作用更为敏感。多胺紫外光谱分析结果与最近单分子实验结果吻合。     

Mössbauer spectroscopy of grain boundaries in ultrafine-grained materials produced by severe plastic deformation

The applicability of Mössbauer spectroscopy in studying grain boundaries in ultrafine-grained materials produced by severe plastic deformation (SPD) is analyzed. It is shown that grain boundaries after SPD are in a nonequilibrium state that is characterized by excess free volume.     

Temperature and velocity dependence of the mechanical properties of the intermetallic compound Ni3Al. I

The paper presents the results of theoretical and experimental studies of the deformation mechanism of alloy Ni₃Al, undertaken in order to elucidate the nature of the anomalous temperature dependence of the mechanical properties of that alloy. A study is made of the mechanisms of hardening which do not require diffusion migration of atoms for their occurrence; 1) indeterminacy of dislocation axis; 2) recombination and conservative sliding of jogs in superpartial dislocations (SPD); 3) cross-slip of SPD; 4) intersection of antiphased boundaries introduced by cubic slip; 5) work-hardening due to reactions between dislocations of cubic and octahedral planes. All these mechanisms are effective, even at room and lower temperatures, and could be responsible for the increase of the yield point with increase in the temperature of testing from –180 °C, as observed by Davies and Stoloff.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii Fizika, No. 10, pp. 39–45, October, 1971.     

The Coulomb effect on a low-energy structure in above-threshold ionization spectra induced by mid-infrared laser pulses

We investigate the low-energy structure(LES)in the above-threshold ionization spectrum at a mid-infrared laser wavelength with a semiclassical model.Using a softened Coulomb potential(CP)and changing the softening parameter,we show that though the very low-energy structure(VLES)and high low-energy structure(HLES)are both due to the interaction between the ionic CP and the electron,the two structures have different physical mechanisms:the VLES can be attributed to the electron–ion Coulomb interaction at a rather small distance and the HLES is more likely to be ascribed to the electron–ion Coulomb interaction at a large distance.     

噪音关联对单模激光光强定态几率分布的影响

从理论上对加性白噪音和乘性色噪音之间存在关联作用的单模激光立方模型进行了分析.通过数值计算得到;噪音关联时间和噪音关联强度参量对光强定态几率分布曲线有很大影响;特别地,当两噪音之间存在完全负关联时,光强被锁定在某一固定值处.     

Heralded linear optical quantum Fredkin gate based on one auxiliary qubit and one single photon detector

Linear optical quantum Fredkin gate can be applied to quantum computing and quantum multi-user communication networks. In the existing linear optical scheme, two single photon detectors （SPDs） are used to herald the success of the quantum Fredkin gate while they have no photon count. But analysis results show that for non-perfect SPD, the lower the detector efficiency, the higher the heralded success rate by this scheme is. We propose an improved linear optical quantum Fredkin gate by designing a new heralding scheme with an auxiliary qubit and only one SPD, in which the higher the detection efficiency of the heralding detector, the higher the success rate of the gate is. The new heralding scheme can also work efficiently under a non-ideal single photon source. Based on this quantum Fredkin gate, large-scale quantum switching networks can be built. As an example, a quantum Bene~ network is shown in which only one SPD is used.     

鸡肉中磺胺二甲嘧啶和磺胺吡啶残留的SERS快速鉴别研究

以金溶胶作为活性基底,浓度为1％ 的NaCl溶液作为活性剂,利用DXRTM显微拉曼光谱仪采集鸡肉的表面增强拉曼光谱(SERS),实现快速鉴别鸡肉中残留的磺胺二甲基嘧啶(SM-2)和磺胺吡啶(SPD)两种抗生素.用937和1188 cm-1处是否有拉曼特征峰来判别鸡肉中是否残留S PD和S M-2.采用单因素实验方法,根...     

Preliminary characterization of semiconductor detectors in the soft X-ray range using synchrotron radiation from the VEPP-4 storage ring

A photodiode developed at the Ioffe Physico-Tech nical Institute (St. Petersburg) and referred to in the literature as the SPD has been preliminarily calibrated by the primary-detector-based method. The possibility of application of SPD photodiodes as radiometric detectors has been investigated. The AXUV-100 photodiode (IRD Inc., United States) was used as a primary detector. The radiation strength of both detectors has been tested. It was revealed that, being more radiation-resistant, the SPD had radiometry characteristics that were not worse than those of the AXUIV-100.