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Advances in Random Matrix Theory (stochastic eigenanalysis) Alan Edelman MIT: Dept of Mathematics, Computer Science AI Laboratories
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Orthogonal matrix - inverse is transpose ... of the matrix A of the form H-1AH is known as similarity transformation. A real matrix Q is orthogonal ...
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Oscillator system, the eigenvalues of differential equations or the coefficient ... oscillation of a suspension bridge. torsional vibration of multi-cylindrical engine ...
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The algorithm is the same as the Power method and the 'eigenvector' is not the ... The InversePower(A, x0,iter,tol) does the inverse method. Accelerated Power Method ...
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Lecture 15 - LU Decomposition and Eigen-analysis. CVEN 302. September 28, 2001. Lecture's Goals. LU Decomposition with Pivoting. What is an eigenvalue and eigenvector? ...
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The classical & most famous rand eig theorem. Let S = random symmetric Gaussian ... Tidbit of interest to 'Matrix Computations' Audience ...
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Methods for Ordinary Differential Equations Lecture 10 Alessandra Nardi Thanks to Prof. Jacob White, Deepak Ramaswamy Jaime Peraire, Michal Rewienski, and Karen Veroy
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Title: PowerPoint Presentation Last modified by: Haibo He Created Date: 1/1/1601 12:00:00 AM Document presentation format: On-screen Show Other titles
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Title: Regression Maps vs. Correlation Maps Author: jcasola Last modified by: jcasola Created Date: 11/20/2006 11:47:12 PM Document presentation format
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for Non-Proportionally Damped Systems with ... Objectives and scope Current methods Proposed method Newton-Raphson technique Modified Newton-Raphson technique ...
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OC EE Curriculum update began implementation two years ago ... OC EE Department goal to 'produce students who are immediately productive in industry' ...
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Cheap to evaluate model which captures. input (u)/output(y) behavior. Automatic ... Cheap to evaluate. Exactly reproduces I/O Behavior. SMA-HPC 2003 MIT ...
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PNA is a time series of fluctuations in 500 mb heights ... EOFs: An example based on phony data. EOF 1. PC 1. EOF 2. PC 2. EOF 1 - 60% variance expl. ...
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Title: PowerPoint Presentation Author: jacob white Last modified by: Luca Daniel Created Date: 9/7/2000 4:33:03 AM Document presentation format: On-screen Show
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Music Analysis and Retrieval for Audio Signals. George ... Timbral Texture = differentiate mixtures of sounds ... Linux, Solaris, Irix and Wintel (VS , Cygwin) ...
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Solution of Ordinary Differential Equations (Initial Value Problems IVP) ... Boxcar approximation to integral. Backward-Euler is more expensive ...
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Iso-charts: Stretch-Driven Parameterization. via Nonlinear Dimension Reduction. Kun Zhou, John Snyder, Baining Guo, Harry Shum. presented at SGP, June 2004 ...
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DOE Science Grid. Middleware. Security and policy for group ... to set 'new paradigm' for other DOE programs. new 2003 nano science modeling ... to DOE ...
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Hip-actuated compass gait (CG) with leg inertia. Passive toe pivot. Outline: ... Dots (wrapping) show previous footholds ... Leg length = 1m. 0.005m drop in. ...
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Boundary conditions for baroclinic neutrality calculations ... Farrell, B., 1985: Transient growth of damped baroclinic waves. J. Atmos. Sci., 42: 2718-2727. ...
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1986 (ter Braak) Canonical Correspondence Analysis (CCA) ... (ter Braak 1986) direct' gradient analysis example of constrained ordination ...
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Isocharts: Stretchdriven Mesh Parameterization using Spectral Analysis
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Thanks to Luca Daniel, Jing Li, Joel Phillips, Michal Rewienski, Model-Order ... V=U can preserve definiteness properties. SMA-HPC 2003 MIT. Use Eigenvectors ...
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Subdivisions of Talk 2D and 3D Examples Give data structure for geometry Define B-spline curve Derive splitting matrix for bicubics Define arbitrary topology ...
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Canonical Correspondence Analysis (CCA) And Other techniques Vamsi Sundus Shawnalee NMS, NMDS Non-metric multidimensional scaling Ordinal scaling Square distance ...
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MARSYAS : free software framework for computer audition research ... Apr. 5500 downloads, 2300 different hosts, 30 countries since March 2001 ...
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Transformed data for distance calculation. Nominal-to-numeric. mapping. Classing tree ... For each record i, calculate scorei=average(Sj qij ) ...
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We commonly form a dyad for the strain, m, produced on a slip system (or ... The unit tensor is formed from the unit dyad thus: ...
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Clustering Algorithms. Principal Components Analysis. Outline ... It is a very interactive algorithm allows users to dynamically change ...
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Exceptions abound, including for ants, bats, and pitcher plant communities. Latitude ... produces an artifact known as the Horseshoe Effect, in which the second axis ...
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Implementing Cognitive Radio How does a radio become cognitive?
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Rutgers, The state University of New Jersey. Background. Ground Glass Opacity (GGO) ... Three single nets and an expert rule for GGO detection. Underestimates GGO area ...
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Tidbit of interest to 'Matrix Computations' Audience. and pure mathematicians! ... Tidbit. eig(A B) = eig(A) eig(B) ? 6/22/09. 28. Free Probability vs ...
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Also, for sake of simplicity only consider. linear case: ... Two types of error ... Not enough to look at LTE, in fact: ...
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... Ni-based superalloy Courtesy M. Watanabe Problems for which MSA may be useful Investigation of data of great complexity Handling large quantities of data ...
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AGE (30 and 42 week old mice) and. RAG (immunocompetent=1 or. immunodeficient=0). 2 ... we asked is if antibodies can prevent and reverse AD in the mouse, ...
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Na ve computational complexity O(np2) Working ... Computational complexity can be prohibitive ... Consider iterative, low computational complexity methods ...
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TX radiation pattern ... We test two sets of radiation patterns, based on ... Raw spectrum (interference convolve with the scope and amplifier response) ...
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The 'Horseshoe' or Arch Effect. community trends along environmenal gradients appear as 'horseshoes' in PCA ordinations ... The 'Horseshoe'Effect ...
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a model-building stage, The automatic segmentation of large series of data sets. ... similar scans, human observers knowlegable in anatomy become experts and produce ...
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Use linear Principal Component Analysis to decompose and compress raw data into ... two because we can see that some kind of parabola will separate the classes ...
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Cases preferentially ascertained from specific subpopulations. ... Assume that the sampled individuals have been ascertained from K discrete subpopulations. ...
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Inputs are the airfoil shape & internal lay-up of composite laminas ... Add algorithm for tuning airfoil data to match measured performance ...
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Tensors, Dyads, Products. Groups, Group Theory. Misorientation and Symmetry ... Unit dyads. Tensors, symmetric and skew-symmetric. Transformations of tensors ...
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Finally, we can begin to determine what forces are structuring the community by ... Cannibalism -- a cycle in which a species feeds upon itself ...
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Mapping Current Vegetation in the Pacific Coast States with Gradient Nearest Neighbor Imputation
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