Euclidean Distance Matrix - Stanford University

Matrix D has N2 entries but only N(N−1)/2 pieces of information. In Figure 142 are ... specifically, each entry must be nonnegative,5.2 the main diagonal must be 0,5.3 and an EDM must be symmetric. The fourth property provides upper and lower bounds for each entry. Property 4 is true more generally when there are no restrictions on indices i ...

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  Matrix, Distance, Diagonal, Euclidean, Euclidean distance matrix

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Matrix Calculus - Stanford University

ccrma.stanford.edu

Appendix D Matrix Calculus From too much study, and from extreme passion, cometh madnesse. −Isaac Newton [205, § 5] D.1 Gradient, Directional derivative, Taylor series D.1.1 Gradients Gradient of a differentiable real function f(x) : RK→R with respect to its vector argument is defined uniquely in terms of partial derivatives ∇f(x) ,

  Matrix, Calculus, Matrix calculus, D matrix calculus

Virtual Flute - CCRMA

ccrma.stanford.edu

Virtual Flute REALSIMPLE Project∗ Edgar J. Berdahl and Julius O. Smith III Center for Computer Research in Music and Acoustics (CCRMA), …

  Virtual, Flute, Virtual flute

Introduction to Digital Audio - CCRMA

ccrma.stanford.edu

1 Introduction to Digital Audio Before the development of high-speed, low-cost digital computers and analog-to-digital conversion circuits, all recording and manipulation of sound was done using analog techniques.

  Introduction, Audio, Digital, To digital, Introduction to digital audio

LUSH: An Organic Eco+Music System - CCRMA

ccrma.stanford.edu

Lush can have up to 5 playheads and 2 playqueues simultaneously (figure 4). One green playhead/playqueue are instantiated by default in order to play the built-in synthesizer. In contrast, the rest of playheads and playqueue are designed to send data of …

  Shul

Flowchart Kitchen - CCRMA

ccrma.stanford.edu

Flowchart Kitchen Rego and Sinem Sen Flowchart Kitchen Rego and Sinem Sen. ... (This page is meant to be used as a worksheet. We encourage you to print a copy and track your achievements!) ... (Cookie Baking Step) 56 Power-ups from Level 2 Beef Tacos 34 POWER-UPS Salsa 58 Guacamole 59 Vinaigrette Dressing 60 Pizza Sauce 61 Marinara Sauce 63

  Worksheet, Power, Kitchen, Baking, Flowchart, Flowchart kitchen

The Laplace Transform - CCRMA

ccrma.stanford.edu

The Laplace Transform can also be seen as the Fourier transform of an exponentially windowed causal signal x(t) 2 Relation to the z Transform The Laplace transform is used to analyze continuous-time systems. Its discrete-time counterpart is the z transform:

  Transform, Laplace, The laplace transform, Transform the laplace transform

An introduction to ROC analysis - Stanford University

ccrma.stanford.edu

An introduction to ROC analysis Tom Fawcett Institute for the Study of Learning and Expertise, 2164 Staunton Court, Palo Alto, CA 94306, USA Available online 19 December 2005 Abstract ... sensitivity ¼recall specificity ¼ ...

  Analysis, Introduction, Sensitivity, Introduction to roc analysis

Sigma-Delta ADCs and DACs - CCRMA

ccrma.stanford.edu

architectures. The key concepts involved in understand­ ing the operation of sigma-delta converters are oversampling, noise shaping (using a sigma-delta modulator), digital filtering, and decimation. 0VERSAMPLING The concept of oversampling has been pre­ viously discussed in Section III, and is illus­ trated again in Figure 6.2 and 6.3. As was

  Architecture, Sigma, Digital, Delta, Adcs, Sigma delta adcs and dacs

State Space Models - Stanford University

ccrma.stanford.edu

solving the ODE • ODE can be nonlinear and/or time-varying • The sampling interval Tn may be fixed or adaptive 7 State Definition We need a state variable for the amplitude of each physical degree of freedom Examples: • Ideal Mass: Energy = 1 2 mv2 ⇒ state variable =v(t) Note that in 3D we get three state variables (vx,vy,vz ...

  States, Solving, Space, Nonlinear, State space

Applications of the Gauss-Newton Method

ccrma.stanford.edu

The final values of u and v were returned as: u=1.0e-16 *-0.318476095681976 and v=1.0e-16 *0.722054651399752, while the total number of steps run was 3.It should be noted that although both the exact values of u and v and the location of the points on the circle will not be the same each time the program is run, due to the fact that random points are generated, the program …

  Newton, Gauss, Gauss newton

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Factorization into A = LU - MIT OpenCourseWare

ocw.mit.edu

The matrix U is upper triangular with pivots on the diagonal. The matrix L is lower triangular and has ones on the diagonal. Sometimes we will also want to factor out a diagonal matrix whose entries are the pivots: A L D U 2 1 1 0 2 0 1 1/2 8 7 = 4 1 0 3 0 1. 1

  Matrix, Mit opencourseware, Opencourseware, Diagonal, Diagonal matrix

The Hessian Matrix - University at Buffalo

cedar.buffalo.edu

Diagonal Approximation • In many case inverse of Hessian is needed • If Hessian is approximated by a diagonal matrix (i.e., off-diagonal elements are zero), its inverse is trivially computed • Complexity is O(W) rather than O(W2) for full Hessian 7

  Matrix, Diagonal, Diagonal matrix

Linear Matrix Inequalities in System and Control Theory

people.eecs.berkeley.edu

• matrix scaling problems, e.g., minimizing condition number by diagonal scaling • construction of quadratic Lyapunov functions for stability and performance anal-ysis of linear differential inclusions • joint synthesis of state-feedback and quadratic Lyapunov functions for linear

  Matrix, Diagonal

The Multivariate Gaussian Distribution

cs229.stanford.edu

diagonal covariance matrix Σ = diag(σ2 1,σ 2 2,...,σ 2 n) is the same as a collection of n indepen-dent Gaussian random variables with mean µi and variance σ2 i, respectively. 4 Isocontours Another way to understand a multivariate Gaussian conceptually is …

  Matrix, Gaussian, Diagonal

Matrices and Linear Algebra

www.math.tamu.edu

Chapter 2 Matrices and Linear Algebra 2.1 Basics Definition 2.1.1. A matrix is an m×n array of scalars from a given field F. The individual values in the matrix are called entries.

  Matrix

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