tensor nuclear norm (TNN)是什么
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An efficient tensor completion method via truncated nuclear norm.pdf
一种有效的基于核范数的张量补全方法,通过优化核范数求解从而实现快速有效的张量数据补全,内有详细的理论推导和仿真实验
GAS plume detection in hyperspectral video sequence using tensor nuclear norm
Gas plume detection (GPD) of Hyperspectral video sequences (HVSs) has become a hot topic in the field of remote sensing. The traditional HVS processing methods reshape the extracted video to a 2-D matrix, which is at expense of destroying spatial or spectral structure. In this paper, we propose a novel method of Multi-feature Tensor Decomposition (MTD), where the 3-dimensional (3-D) structure of the extracted video can be seen as a 3-order tensor, thus the spatial and temporal structures in HVS
Denoising 3-D magnitude magnetic resonance images based on weighted nuclear norm minimization
A new denoising algorithm based on low-rank matrix approximation (LRMA) with regularization of weighted nuclear norm minimization (WNNM) is proposed to remove Rician noise of magnetic resonance (MR) images. This technique simply groups similar non-local cubic blocks from noisy 3D MR data into a patch matrix with each block lexicographically vectorizing to be as a column, calculates the singular value decomposition (SVD) on this matrix, then the closed-form solution of LRMA is achieved by hard-th
Joint reconstruction and anomaly detection from compressive hyperspectral images using mahalanobis distance-regularized tensor RPCA
Anomaly detection plays an important role in remotely sensed hyperspectral image (HSI) processing. Recently, compressive sensing technology has been widely used in hyperspectral imaging. However, the reconstruction from compressive HSI and detection are commonly completed independently, which.will reduce the processing’s efficiency and accuracy. In this paper, we propose a framework for hyperspectral compressive sensing with anomaly detection which reconstruct the HSI and detect the anomalies si
【图像修复】基于低秩张量CTV与TRPCA实现图像修复附matlab代码.docx
【图像修复】基于低秩张量CTV与TRPCA实现图像修复附matlab代码.docx
非线性变换诱导张量核范数张量完成的Matlab代码.rar
1.版本:matlab2019a,不会运行可私信 2.领域:基础教程 3.内容:非线性变换诱导张量核范数张量完成的Matlab代码.rar 4.适合人群:本科,硕士等教研学习使用
基于去雾增强和张量恢复的红外小目标检测.docx
基于去雾增强和张量恢复的红外小目标检测.docx
Applications of Classical Physics
1. Physics in Flat Spacetime: Geometric Viewpoint 1.1 Overview 1.2 Foundational Concepts 1.3 Tensor Algebra Without a Coordinate System 1.4 Particle Kinetics and Lorentz Force Without a Reference Frame 1.5 Component Representation of Tensor Algebra 1.6 Particle Kinetics in Index Notation and in a Lorentz Frame 1.7 Orthogonal and Lorentz Transformations of Bases, and Spacetime Diagrams 1.8 Time Travel 1.9 Directional Derivatives, Gradients, Levi-Civita Tensor, Cross Product and Curl 1.10 Nature of Electric and Magnetic Fields; Maxwell's Equations 1.11 Volumes, Integration, and the Gauss and Stokes Theorems 1.12 The Stress-energy Tensor and Conservation of 4-Momentum I. STATISTICAL PHYSICS 2. Kinetic Theory 2.1 Overview of this Chapter 2.2 Phase Space and Distribution Function 2.3 Other Norrealizations for the Distribution Function 2.4 Thermal Equilibrium 2.5 Number-Flux Vector and Stress-Energy Tensor 2.6 Perfect Fluids and Equations of State iii 2.7 Evolution of the Distribution Function: Liouville's Theorem, the Vlasov Equation and the Boltzmann Transport Equation 2.8 Transport Coefficients iv 3. Statistical Mechanics 3.1 Overview 3.2 Systems, Ensembles, and Distribution Functions 3.3 Liouville's Theorem and the Evolution of the Distribution Function 3.4 Statistical Equilibrium 3.5 The Microcanonical Ensemble and the Ergodic Hypothesis 3.6 Entropy and the Evolution into Statistical Equilibrium 3.7 Statistical Mechanics of an Ideal Monatomic Gas 3.8 Statistical Mechanics in the Presence of Gravity: Galaxies, Black Holes, the Universe, and Evolution of Structure in the Early Universe 3.9 Entropy and Information [not yet written] 4. Statistical Thermodynamics 4.1 Overview 4.2 Microcanonical Ensemble and the Energy Representation of Thermodynamics 4.3 Canonical Ensemble and the Free-Energy Representation of Thermodynamics 4.4 The Gibbs Representation of Thermodynamics; Phase Transitions and Chemical Reactions 4.5 Fluctuations of Systems in Statistical Equilibrium 4.6 The Ising Model and Renormalization Group Methods 4.7 Monte Carlo Methods [not yet written] Random Processes Note: In 2000-2001 we will expand this chapter and break it into two. 5.1 Overview 5.2 Random Processes and their Probability Distributions 5.3 Correlation Function, Spectral Density, and Ergodicity 5.4 Noise and its Types of Spectra 5.5 Filters, Signal-to-Noise Ratio and Shot Noise 5.6 The Evolution of a System Interacting with a Heat Bath: Fluctuation-Dissipation Theorem, Fokker-Planck Equation and BrownJan Motion v II. OPTICS 6. Geometrical Optics 6.1 Overview 6.2 Waves in a Homogeneous Medium 6.3 Waves in an Inhomogeneous, Time-Varying Medium: The Eikonal Approximation 6.4 Paraxial Optics 6.5 Polarization and the Berry Phase 6.6 Caustics and Catastrophes Gravitational Lenses 7. Diffraction 7.1 Overview 7.2 Helmholtz-Kirchhoff Integral: diffraction by an aperture; spreading of the wave- front 7.3 Fraunhofer Diffraction: telescope diffraction grating; Babinet's principle; Hubble space 7.4 Fresnel Diffraction: lunar occultation of a radio source; circular apertures 7.5 Fourier Optics: coherent illumination; point spread functions; Abb6 theory; phase contrast microscopy; Gaussian beams 7.6 Diffraction at a Caustic 8. Interference 8.1 Overview 8.2 Coherence: Young's slits; extended source; van Cittert-Zernike theorem; general formulation of lateral coherence; lateral coherence length; Michelson stellar inter- ferometer; temporal coherence; Michelson interferometer; degree of coherence 8.3 Radio Telescopes: two-element interferometer; closure phase; angular resolution 8.4 Etalons and Fabry-Perot Interferometers Gravitational Wave Detection: multiple-beam interferometry; Fabry-Perot interferometer; lasers 8.5 Laser Interferometer Gravitational Wave Detectors 8.6 Intensity Correlation and Photon Statistics 9. Nonlinear Optics 9.1 Overview vi 9.2 Lasers: Basic Principles; Types of Pumping and Types of Lasers 9.3 Holography 9.4 Phase-Conjugate Optics 9.5 Wave-Wave Mixing in Nonlinear Crystals: nonlinear dielectric susceptibility; wave-wave mixing; resonance conditions and growth equations 9.6 Applications of Wave-Wave Mixing: squeezing Fequency doubling; phase conjugation; III. ELASTICITY 10. Elastostatics 10.1 Overview 10.2 Strain; Expansion, Rotation, and Shear 10.3 Cylindrical and Spherical of Strain Coordinates: Connectio Coefficients and Components 10.4 Stress and Elastic Moduli: stress tensor; elastic moduli; energy of deformation; molecular origin of elastic stress; Young's modulus and Poisson ratio 10.5 Thermoelastic noise in gravitationa-wave detectors 10.6 Bending of Beams Cantilever Bridges 10.7 Deformation of Plates Keck Telescope Mirror 10.8 Bifurcation Mountain Folding 11. Elastodynamics 11.1 Overview 11.2 Conservation Laws 11.3 Basic Equations of Elastodynamics: equation of motion; elastodynamic waves; longitudinal sound waves; transverse shear waves; energy of elastodynamic waves 11.4 Waves in Rods, Strings and Beams: compression waves; torsion waves; waves on strings; flexural waves on a beam; buckling 11.5 Body and Surface Waves body waves; edge waves; Green's function for a homogeneous half space; free oscillations of solid bodies; seismic tomography 11.6 The Relationship of Classical Waves to Quantum Mechanical Excitations vii IV. FLUID DYNAMICS 12. Foundations of Fluid Dynamics 12.1 Overview 12.2 Hydrostatics: Archimedes law; stars and planets; rotating fluids 12.3 Conservation Laws for an Ideal Fluid: mass conservation; momentum conserva- tion; Euler equation; Bernoulli principle; energy conservation 12.4 Incompressible Flows 12.5 Viscous Flows: decomposition of the velocity gradient into expansion, vorticity, and shear; Navier-Stokes equation; energy conservation and entropy production; molecular origin of viscosity; blood flow 13. Vorticity 13.1 Overview 13.2 Vorticity and Circulation: vorticity transport; tornados; Kelvin's theorem; diffu- sion of vortex lines; sources of vorticity 13.3 Low Reynolds' Number Flow- Stokes' flow; Nuclear Winter; sedimentation rate 13.4 High Reynolds' Number Flow Laminar Boundary Layers: separation 13.5 Kelvin-Helmholtz Instability: temporal and spatial growth; excitation of ocean waves by wind; physical interpretation; the Rayleigh and Richardson stability criteria 14. Turbulence 14.1 Overview 14.2 The Transition to Turbulence Flow past a Cylinder 14.3 Semi-Quantitative Analysis of Turbulence: weak turbulence; turbulent diffusivity; relationship to vorticity; Kolmogorov spectrum 14.4 Turbulent Boundary Layers: profile of a turbulent boundary layer; instability of a laminar boundary layer; the flight of a ball 14.5 The Route to Turbulence Onset of Chaos: Couette flow; Feigenbaum sequence viii 15. Waves 15.1 Overview 15.2 Gravity Waves on Surface of a Fluid: capillary waves; Helioseismology deep water waves; shallow water waves; 15.3 Nonlinear Shallow Water Waves and Solitons: Korteweg-deVries equation; phys- ical effects in the kdV equation; single solitoh solutions; two solitoh solution; solitons in contemporary physics 15.4 Rotating Fluids: equations of fluid dynamics in a rotating reference frame; geostrophic flows; Taylor-Proudman theorem; Ekman pumping; Rossby waves 15.5 Sound Waves; sound generation 16. Supersonic Flow 16.1 Overview 16.2 Equations of Compressible Flow 16.3 Stationary, Irrotational Flow: quasi-one-dimensional flow; setting up a stationary transonic flow; rocket engines 16.4 One Dimensional, Time-Dependent Flow: Riemann invariants; shock tube 16.5 Shock Fronts: shock jump conditions in a perfect gas; Mach cone 16.6 Similarity Solutions Sedov-Taylor Blast Wave: atomic bomb; supernovae 17. Convection 17.1 Overview 17.2 Heat Conduction 17.3 Boussinesq Approximation 17.4 Rayleigh-Bernard Convection 17.5 Convection in Stars 17.6 Double Diffusion Salt Fingers ix 18. Magnetohydrodynamics 18.1 Overview 18.2 Basic Equations of MHD: induction equation; dynamics; boundary conditions; magnetic field and vorticity 18.3 Magnetostatic Equilibria: controlled thermonuclear fusion; tokamak Z pinch; theta pinch; 18.4 Hydromagnetic Flows: electromagnetic brake; MHD power generator; flow meter; electromagnetic pump; Hartmann flow 18.5 Stability of Hydromagnetic Equilibria: ergy principle linear perturbation theory; Z pinch; en- 18.6 Dynamos and Magnetic Field Line Reconnection: Cowling's theorem; kinematic dynamos; magnetic reconnection 18.7 Magnetosonic Waves and the Scattering of Cosmic Rays V. PLASMA PHYSICS 19. The Particle Kinetics of Plasmas 19.1 Overview 19.2 Examples of Plasmas and their Density-Temperature Regimes: ionization bound- ary; degeneracy boundary; relativistic boundary; pair production boundary; ex- amples of natural and man-made plasmas 19.3 Collective Effects in Plasmas: Debye shielding; collective behavior; plasma oscil- lations and plasma frequency 19.4 Coulomb Collisions: collision frequency; Coulomb logarithm; thermal equilibra- tion times 19.5 Transport Coefficients: anomalous resistivity and anomalous equilibration 19.6 Magnetic field: Cyclotron frequency and Larmor radius; approximation; conductivity tensor validity of the fluid 19.7 Adiabatic invariants: homogeneous, time-independent magnetic field; homo- geneous time-independent electric and magnetic fields; inhomogeneous time- independent magnetic field; a slowly time-varying magnetic field x 20. Waves in Cold Plasmas: Two-Fluid Formalism 20.1 Overview 20.2 Dielectric Tensor, Wave Equation, and General Dispersion Relation 20.3 Wave Modes in an Unmagnetized Plasma: two-fluid formalism 20.4 Wave Modes in a Cold, Magnetized Plasma: relation dielectric tensor and dispersion 20.5 Propagation of Radio Waves in the Ionosphere 20.6 C, MA Diagram for Wave Modes in (',old, Magnetized Plasma 20.7 Two-Stream Instability 21. Kinetic Theory of Warm Plasmas 21.1 Overview 21.2 Basic Concepts of Kinetic Theory and its Relationship to Two-Fluid Theory: distribution function and vlasov equation; relation to two-fluid theory; Jeans' theorem 21.3 Electrostatic Waves in an Unmagnetized Plasma and Landau Damping; formal dispersion relation; two-stream instability; the Landau contour; dispersion re- lation for weakly damped or growing waves; Langmuir waves and their Landau damping; ion acoustic waves and conditions for their Landau damping to be weak 21.4 Stability of Electromagnetic Waves in an Unmagnetized Plasma: stability; parti- cle trapping 21.5 N-Particle Distribution Function 22. Nonlinear Dynamics of Plasmas 22.1 Overview 22.2 Quasi-Linear Theory in Classical Language: classical derivation of the theory; summary of the theory; conservation laws; generalization to three dimensions 22.3 Quasilinear Theory in Quantum Mechanical Language: fundamental equations and their interpretation; relationship between classical and quantum formula- tions; inhomogeneous plasmas; generalization to other processes 22.4 Quasilinear Evolution of Unstable Distribution Function: instability of streaming cosmic rays The Bump in Tail: 22.5 Parametric Instabilities 22.6 Solitons and Collisionless Shock Waves xi VI. GENERAL RELATIVITY 23. From Special to General Relativity 23.1 Overview 23.2 Special Relativity Once Again: geometric, frame-independent formulation; iner- tial frames and components of vectors and tensors; physical laws; light speed, the interval, and spacetime diagrams 23.3 Differential Geometry in General Bases and in C, urved Manifolds: nonorthonor- real bases; vectors as differential operators; tangent space; commutators; differ- entiation of vectors and tensors; connection coefficients; integration 23.4 Stress-Energy Tensor Revisited 23.5 Proper Reference Frame of an Accelerated Observer 24. Fundamental Concepts of General Relativity 24.1 Overview 24.2 Local Lorentz Frames, the Principle of Relativity, and Einstein's Equivalence Principle 24.3 The Spacetime Metric, and Gravity as a Curvature of Spacetime 24.4 Free-fall Motion and Geodesics of Spacetime 24.5 Relative Acceleration, Tidal Gravity, and Spacetime Curvature: Newtonian de- scription of tidal gravity; relativistic description of tidal gravity; comparison of descriptions 24.6 Properties of the Riemann curvature tensor 24.7 Curvature Coupling Delicacies in the Equivalence Principle, gravitational Laws of Physics in Curved Spacetime and some Non- 24.8 The Einstein Field Equation 24.9 Weak Gravitational Fields: Newtonian limit of general relativity; linearized the- ory; gravitational field outside a stationary, linearized source 25. Relativistic Stars and Black Holes 25.1 Overview 25.2 Schwarzschild's Spacetime Geometry 25.3 Static Stars: Birkhoff's theorem; stellar interior; local energy and momentum conservation; Einstein field equations; stellar models and their properties xii 25.4 Gravitational Implosion of a Star to Form a Black Hole 25.5 Spinning Black Holes: The Kerr Spacetime: motivation conservation laws for mass, momentum, and angular momentum; the Kerr metric; dragging of inertial flames; light-cone structure and the horizon; evolution of black holes- rotational energy and its extraction 25.6 The Many-Fingered Nature of Time 26. Gravitational Waves and Experimental Tests of General Relativity 26.1 Overview 26.2 Experimental Tests of General Relativity: equivalence principle, gravitational redshift, and global positioning system; perihelion advance of Mercury; gravita- tional deflection of light, Fermat's principle and gravitational lenses; Shapiro time delay; frame dragging and Gravity Probe B; binary pulsar 26.3 Gravitational Waves and their Propagation: the gravitational wave equation; the waves' two polarizaitons, + and x; gravitons and their spin; energy and momen- tum in gravitational waves; wave propagation in a source's local asymptotic rest frame; wave propagation via geometric optics; metric perturbation and TT gauge 26.4 The Generation of Gravitational Waves: multipole-moment expansion; quadru- pole moment formalism; gravitational waves from a binary star system; detection of gravitational waves 26.5 The Detection of Gravitational Waves: [not yet written] 26.6 Sources of Gravitational Waves: [not yet written] 27. Cosmology 27.1 Overview 27.2 Homogeneity and Isotropy of the Universe Robertson-Walker Line Element 27.3 The Stress-energy Tensor and the Einstein Field Equation 27.4 Evolution of the Universe: constituents of the universe cold matter, radiation, and exotic matter; the vacuum stress-energy tensor; evolution of the densities; evolution in time and redshift; physical processes in the expanding universe 27.5 Observational C, osmology: parameters characterizing the universe; local Lorentz frame of homogenous observers near Earth; Hubble expansion rate; big-bang nu- cleosynthesis; density of cold dark matter; radiation temperature and density; anisotropy of the CBR: measurements of the Doppler peaks; age of the universe constraint on the exotic matter; magnitude-redshift relation for type Ia super- novae confirmation that the universe is decelerating 27.6 The Big-Bang Singularity, Quantum Gravity and the Intial Conditions of the Universe xiii 27.7 Inflationary Cosmology
通过时空红外补丁张量模型和加权Schatten p范数最小化进行红外小目标检测
通过时空红外补丁张量模型和加权Schatten p范数最小化进行红外小目标检测
该matlab代码实现了基于张量核范数偏和的红外小目标检测模型。_This matlab code implements
该matlab代码实现了基于张量核范数偏和的红外小目标检测模型。_This matlab code implements the infrared small target detection model based on partial sum of the tensor nuclear norm..zip
Matlab演示了加权高阶张量核范数最小化及其在高光谱图像去噪中的应用。_Matlab demos for weight
Matlab演示了加权高阶张量核范数最小化及其在高光谱图像去噪中的应用。_Matlab demos for weighted higher-order tensor nuclear norm minimization, and its applications to hyperspectral image denoising..zip
MATLAB implementation for our IEEE TC paper_ Wei Xia; Xiangd
MATLAB implementation for our IEEE TC paper_ Wei Xia; Xiangdong Zhang; Quanxue Gao; Xiaochuang Shu; Jungong Han; Xinbo Gao. Multiview Subspace Clustering by an Enhanced Tensor Nuclear Norm. DOI_ 10.1109_TCYB.2021.3052352..zip
Lie Group Machine Learning
Lie Group Machine Learning By 作者: Fanzhang Li ISBN-10 书号: 311050068X ISBN-13 书号: 9783110500684 Release Finelybook 出版日期: 2018-11-07 pages 页数: (533 ) $137.99 This book explains deep learning concepts and derives semi-supervised learning and nuclear learning frameworks based on cognition mechanism and Lie group theory. Lie group machine learning is a theoretical basis for brain intelligence, Neuromorphic learning (NL), advanced machine learning, and advanced artifi cial intelligence. The book further discusses algorithms and applications in tensor learning, spectrum estimation learning, Finsler geometry learning, Homology boundary learning, and prototype theory. With abundant case studies, this book can be used as a reference book for senior college students and graduate students as well as college teachers and scientific and technical personnel involved in computer science, artifi cial intelligence, machine learning, automation, mathematics, management science, cognitive science, financial management, and data analysis. In addition, this text can be used as the basis for teaching the principles of machine learning.
造影剂各向异性感知张量总变化模型用于弱辐射强健脑灌注CT重建:初步研究
在这项研究中,我们提出了一种新颖的,具有中等对比度各向异性的TTV(Cute-TTV)模型,以反映脑灌注计算机断层扫描(PCT)对象的固有稀疏性配置。 我们还通过Cute-TTV模型提出了PCT重建方案,以改善弱辐射任务中的PCT重建性能(称为CuteTTV-RECON)。 为CuteTTV-RECON开发了一种有效的优化算法。 初步的仿真研究表明,与现有的最新方法相比,该方法在微弱辐射的伪影抑制,结构保留和参数贴图准确性方面都可以取得显着改善。
平行牛顿重力与标量场的后牛顿近似
我们使用参数化的后牛顿(PPN)形式主义来探索非平行最小伸缩耦合至标量场ϕ的远平行重力的弱场近似,具有任意耦合函数ω(ϕ)和势V(ϕ)。 我们发现所有PPN参数都与广义相对论(GR)相同,这使得此类理论与太阳系实验兼容。 此功能还使这些理论与标量-张量理论有很大不同,标量-张量理论可能会受到参数空间的严格约束,或者需要一些筛选机制来传递太阳系实验约束。
N = 4超级杨米尔斯理论中的事件形状
我们在<math altimg =“ si2.gif” xmlns =“ http://www.w3.org/1998/Math/MathML”> N 中研究事件形状 = 4 SYM </ math>描述了由最简单的半BPS标量算符创建的最终状态下能量和R电荷的角分布。 应用伴随论文arXiv:1309.0769中开发的方法,我们使用<math altimg =“ si1.gif” xmlns =“ http://www.w3.org/1998/Math的某些组件的相关函数来计算这些可观测值 / MathML“> N = 4 </ math>应力张量超倍数:半BPS运算符本身,即 R对称电流和应力张量。 我们提供了所有事件形状的主公式,作为梅林幅度的卷积定义了半BPS算子的相关函数,并且通过选择可观察值确定了耦合无关的核
matlab红外代码-Infrared-Small-Target-Detection-based-on-PSTNN:该matlab代码基于张量
matlab红外代码基于PSTNN的红外小目标检测 该matlab代码基于张量核规范的部分和实现了红外小目标检测模型。 关于这种方法的详细描述可以在我们的论文中找到。 参考: Zhang, L.; Peng, Z. Infrared Small Target Detection Based on Partial Sum of the Tensor Nuclear Norm. Remote Sens. 2019, 11, 382.
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国央企如何基于数据分析强化创新主体战略规划?.docx
科易网基于40亿+科创知识图谱数据库,深度探索AI技术在技术转移、成果转化、技术经纪、知识产权、产业创新、科技招商等垂直领域的多样化应用场景,研究科技创新领域的AI+数智化解决方案,推动科技创新与产业创新智能化发展。
Arduino平衡车编程
代码下载地址: https://pan.quark.cn/s/a4b39357ea24 基于Arduino 2560(即Mega 2560)控制器的智能小车项目,即Arduino平衡车程序,其核心目的在于达成车辆的自动平衡。Arduino作为一个开源电子原型平台,其融合了硬件与软件元素,极大地简化了电子制作流程。在此项目中,Arduino 2560被选用以处理传感器信息并管理电机,确保平衡车的稳定运行。为了深入理解平衡车的运作机制,必须掌握其动态平衡维持的原理。平衡车的核心在于实现动态平衡,这主要借助陀螺仪和加速度计等传感器达成。这些传感器能够检测到车辆姿态的变动,并将相关数据即时传输给微控制器。微控制器依据这些数据计算必要的修正措施,随后通过驱动电机来校正车辆的姿态。在运行于Arduino 2560的程序中,可能包含以下几个关键组成部分: 1. 初始化与设置:涉及I/O引脚的设定,与电机驱动器及传感器的连接,并设定初始参数值。 2. 信息收集:从陀螺仪和加速度计获取姿态数据,这些数据体现了车辆的倾斜程度和旋转速率。 3. 控制策略:通常采用PID(比例-积分-微分)控制方法来调整电机速度,以此抵消车辆的倾斜影响。PID方法会评估当前角度偏差、累积偏差和速率偏差,进而生成适宜的控制指令。 4. 电机调节:依据PID输出的结果,调整电机的电压或频率,进而改变电机转速,使车辆重新获得平衡。 5. 高级功能:提及的“其他功能,例如语音模块”,暗示该程序还集成了语音识别或合成功能,用以增强交互体验,如通过语音命令操控平衡车的移动。 在名为“three_balance_car”的压缩文件中,可能包含以下材料: 1. Arduino代码文件(*.ino):作为主要的程序源代...
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