Sphere Fit (least squared) by Alan Jennings

Fits a sphere to a set of noisy data. Does not require a wide arc or many points. (fitting curves, sphere, least squares)

sphereFit(X)

sphereFit_Example

Easy Sensitivity (Tornado) Plot Function by Richard McCulloch

This function makes a tornado sensitivity plot and returns the sensitivity values. (aerospace, biotech, data export)

TorPlot(data,names,sensitivity,save,fh)

Enhanced Binary Particle Swarm Optimization (BPSO) with 6 new transfer functions by Seyedali Mirjalili

An Enhanced binary Particle Swarm Optimization algorithm (VPSO) with v-shaped transfer functions (particle swarm optimi..., pso, binary particle swarm...)

DrawConvergenceCurves(p,Max_iteration)

MyCost(x)

[gBest,gBestScore,ConvergenceCurve]=BPSO(noP,Max_iteration,...

quad3 by Marco Borges

Evaluates cubic polynomial numerical integration (numerical integration, mathematics, interpolation)

quad3(X,Y)

Improved Feedforward Neural Networks Using PSOGSA by Seyedali Mirjalili

This program is an improved Feedforward Neural Network using a hybrid algorithm called PSOGSA. (optimization, particle swarm optimi..., pso)

o=My_FNN(Ino,Hno,Ono,W,B,x1,x2,x3,x4)

output=My_sigmoid(x)

FNNGSA.m

Stochastic Simultaneous Optimistic Optimization by Michal Valko

Black box stochastic function optimization without the knowledge of function's smoothness. (optimization, smoothness, stochastic)

draw_function(x_min,x_max,f,output)

draw_partition_tree(t,settings)

example_simple.m

Aerospace Trajectory Optimization Using Direct Transciption and Collocation by David Eagle

Demonstrates the solution of an aerospace trajectory optimization problem. (aerospace, optimization)

cgl(np, a, b)

defect_trap(tk, tkp1, xk, xkp1, uk, ukp1)

dto_guess(ti, tf, xi, xf, ngrid)

MIMO-Diophantine solver by davood shaghaghi

This function solve MIMO-Diophantine equation. (control design, optimization, simulation)

mimodioph(A,B,N)

Efficient Multidimensional Scaling (MDS) by Quan Wang

The is the source code of iterated Levenberg-Marquardt algorithm (ILMA) for solving MDS (mathematics, optimization, pattern recognition)

CM=confusion_matrix_reorder(CM)

[X, total_cost]=MDS_training(Dist,d,iter,strategy,display_f...

[X2]=MDS_encoding(X1,Dist,display_flag)

Monte Carlo example of the Multi-Factor coupled Commodity Forward curves Simulator by Ahmos Sansom

Implementation of the Multi-Factor multi commodity forward curve simulator (finance, mathematics, optimization)

GetCov(x, y)

LnTestofSims(mySims, LastFC, volFN, Factors)

MultiFactorForwardCurveSimulator(nSims, Seed, historicalFor...

Another Particle Swarm Toolbox by Sam

Implementation of a PSO algorithm with the same syntax as the Genetic Algorithm Toolbox. (global optimization, particle swarm, pso)

...

...

...

Airfoil generation using CST parameterization method by Pramudita Satria Palar

Generates an airfoil shape using CST method (aerospace, optimization, aerodynamics)

CST_airfoil(wl,wu,dz,N);

Model Predictive Control of Multi-Input, Multi-Output (MIMO) systems by Pooya Rezaei

Quadratic Programming is used to simulate Model Predictive Control of MIMO systems (optimization, control design, model predictive cont...)

Addnoise(sig,order,noise_percent)

MPC_calculation(x0,yref,uref,MPC_case)

MPC_calculation_delta_u(x0,yref_Np,MPC_case)

Maximum(minimum) Weight Spanning Tree ( Directed ) by Guangdi Li

For learning "Directed Maximum Spanning Tree", Chu-Liu/Edmonds Algorithm is implemented here. (spanning tree, learning algorithm, data mining)

DirectedMaximumSpanningTree( OriginalCostMatric,Root )

DirectedMinimalSpanningTree( OriginalCostMatric,Root )

MaximalDirectedMSF( CostMatric )

Fit 2D Gaussian with Optimization Toolbox by Nathan Orloff

Fit a 2D rotated gaussian. http://en.wikipedia.org/wiki/Gaussian_function (image processing, optimization, signal processing)

fmgaussfit(xx,yy,zz)

Leveldiagrams for multiobjective decision making by Xavier Blasco

A tool to draw Leveldiagrams for Pareto Set/Front, allowing some basics graphics manipulations. (multiobjective optimi..., decision making, pareto front)

[c,lg]=paretopoint5(lg,figura)

layeraxis5(lg,range)

lg=classbycondition5(lg,cond)

MPC Matrices by Pantelis Sopasakis

Computes the matrices needed to formulate an economic MPC problem for a distributed water network. (mpc, economic mpc, scheduling)

mpc_matrices(S, P, x, D, k, ops)

Uniform Sampling of a Sphere by Anton Semechko

Create an approximately uniform triangular tessellation of a unit sphere (thomson problem, particle system, uniform sampling of a...)

TR=IcosahedronMesh

TR=SubdivideSphericalMesh(TR,k)

TR=TriQuad(TR)

Negative Binomial Regression by Surojit Biswas

NB2 Negative-Binomial regression. (statistics, mathematics, optimization)

nbreg( x, y, varargin )

Comparison of Alamouti & MRC Schemes over Rayleigh Channel by Sourav Mondal

This code gives a relative comparison of performance of Alamouti & MRC schemes over Rayleigh channel (communications, control design, data export)

alamouti_new(M, frmLen, numPackets, EbNo)

mrc_new(M, frmLen, numPackets, EbNo)

alamouti_mrc_RUN_new.m

Truss Design Optimization Based on Generative Algorithms by James Allison

Supplementary material for a WCSMO publication regarding truss design optimization. (structural design, aerospace, automotive)

D=TrussData(Coord, Con)

GAcon(x)

JacobianStresscal(D, Area)

TransposeMat - like transpose, but handles N-D arrays by Chad Webb

Transposes the rows/columns (only) on any N-dimensional array (simulation, optimization, earth science)

TransposeMat(in)

MPCC Solution of Genetic Regulatory Circuit Design Problems by James Allison

Demonstration of a novel MPCC-based technique for solving gene circuit design problems. (optimization, simulation, biotech)

MPCC_con()

constraint(xd,p)

master_genecircuit()

Particle Swarm Optimization by Yan Ou

[x,fval] = pso(fun,np,A,b); % fun: function handle % np: number of particles % A, b: Ax<=b (optimization, nonconvex optimizatio..., mathematics)

pso(fun,np,A,b,inertia,correction_factor,iteration)

CORE: Conceptual Optimization of Rotorcraft Environment by Sky Sartorius

Facilitates optimization and design space exploration in the conceptual design phase of rotorcraft. (helicopter, aerospace, rotorcraft)

...

...

...

IMComp-Image Compression Software by Saurabh Aggarwal

IMComp is an Image Compression tool useful for compressing digital JPG images. (image processing, signal processing, optimization)

IMComp(varargin)

imagecompression.m

SSO (Simplified Swarm Optimization) algorithm by Jiing Deng

SSO algorithm simple example (sso, demo, optimization)

sso_simple()

Differential Evolution by Markus Buehren

Optimization using the evolutionary algorithm of Differential Evolution. (differential evolutio..., optimization, evolutionary algorith...)

chompsep(str)

computenewpopulation(pop, bestmem, params)

concatpath(varargin)

Fast Kernel Density Estimator (Multivariate) by Matej Kristan

A very fast multivariate bandwidth calculation for KDE that can even be calculated from a GMM. (kernel density estima..., gaussian mixture mode..., bandwidth)

applyForScaleTransformToPdf( pdf0, Mu, T )

applyInvScaleTransformToPdf( pdf0, Mu, T )

checkcompiledBWestimator()

One Rank Cuckoo Search (ORCS) algorithm by Ahmed Tawfik

An improved cuckoo search optimization algorithm. Well competent and easy to use. (algorithms, cuckoo search, evolutionary algorith...)

...

Ackley(x)

Griewank(x)

Spline2D or Piecewise Continuous 2D Polynomials by Mark Mikofski

Fit a 2D function with piecewise continuous polynomials (data exploration, interpolation, mathematics)

splineFit2D(f,x,y,n,m,xb,yb,continuity,ngrid)

splineVal2D(pp,x,y,n,m,xb,yb)

examples

ev-MOGA Multiobjective Evolutionary Algorithm by Juan M. Herrero

This toolbox implements the ev-MOGA Multiobjective Evolutionary Algorithm. (cpoh, evolutionary algorith..., multiobjective optimi...)

Actualizar_P(x,coste_f)

Archivar(x,coste_f,box_f)

CrtpReal()

Lloyd's Algorithm by Aaron Becker

Starts with a point set, repeatedly moves each point to centroid of Voronoi cell. (lloyds algorithm, simulation, robot coverage)

lloydsAlgorithm(Px,Py, crs, numIterations, showPlot)

Table Breakpoint Optimization by Tucker McClure

A set of tools for finding the best way to reduce the size of a table. (optimization, breakpoints, tables)

find_best_table_1d(x_0, z_0, ...

find_best_table_1de(...

find_best_table_2d(...

Hybrid Differential Evolution Algorithm With Adaptive Crossover Mechanism by Gilberto Reynoso-Meza

An EA based on DE with adaptive crossover rate, population refresh and local search. (evolutionary algorith..., differential evolutio..., optimization)

LocalSearch(X,Dat)

CostFunction.m

DE_TCR.m

polyVal2D and polyFit2D by Mark Mikofski

Evaluate 2D polynomials using Horner's method. Fit 2D polynomials to data using backslash operator. (mathematics, optimization, data exploration)

polyDer2D(p,x,y,n,m)

polyFit2D(f,x,y,n,m)

polyVal2D(p,x,y,n,m)

Generate points from given conic (A,B,C,D,E,F) by Juan

generate points from ellipse, hyperbola, circles, etc. (mathematics, conics, ellipse)

points_from_conic(A,B,C,D,E,F, domain,number_points, noise_...

Genetic Algorithm to Optimise Schaffer's F6 Function by Dean Kayton

A basic GA with a real-time plotting of evaluation funtion inputs and outputs (ga, f6, genetic algorithm)

[chromoChild]=f6Seed(popSize,method)

[fitness,sel]=f6FitSel(f6EvalFun,popSize)

dec2gc(dec,N)

UD Factorization & Kalman Filtering by Gerard Van Willigenburg

UD and LD factorization of nonnegative matrices and associated Kalman filter implementations. (ldl factorization, control design, kalman filter)

[P,K,xhat]=kmfmu(c,w,P,xhat,y)

[P,xhat]=kmftu(Phi,V,P,xhat,Gam,u)

[l,d]=ld2ld(ld)

Augmented Lagrangian by Mayowa Aregbesola

Augmented Lagrangian methods are a certain class of algorithms for solving constrained optimization. (optimization)

ALH( x, f, g, G, H, Dg, Hg, e, k, eta)

newton_constrained.m

prob1.m

LAPJV - Jonker-Volgenant Algorithm for Linear Assignment Problem V3.0 by Yi Cao

A Matlab implementation of the Jonker-Volgenant algorithm solving LAPs. (optimization, hungarian algorithm, linear assignment pro...)

lapjv(costMat,resolution)

Metropolis Hastings by Saad Jbabdi

Simple but powerful implementation of the MH algorithm (monte carlo markov ch..., metropolis hastings, bayesian)

mh(varargin)

James Stein Type Center Pixel Weights for Non-Local Means by Yue Wu

This code implements the James Stein type shrinkage estimation for non-local mean denoising. (image denoising, statistical shrinkage, adaptive algorithm)

NLM_JSCPW(NoisyImg,PatchSizeHalf,SearchSizeHalf,Sigma,Block...

Lightning Protection Circuit Design Tool for Avionics by Clay McCreary

This tool performs the calculations to optimize the design of lightning protection circuits (aerospace, gui, optimization)

Lightning_Protection(varargin)

Carpet Plot Toolkit by Rob McDonald

A set of routines to make carpet plotting easier. (carpet, contour, knothole)

Cconv=carpetcontourconvert(x1, x2, y, offset, C)

[xc, yc]=carpetconvert(x1, x2, y, offset, x1p, x2p)

carpet(x1, x2, y, offset, nref, linspec1, linspec2, varargi...

Hatched Lines and Contours by Rob McDonald

Draw lines and contours with hatches on one side of the line. (hatch, constraint, plotting)

h=hatchedcontours(C,varargin)

h=hatchedline(xc,yc,linespec,theta,ar,spc,len,varargin)

ocontourc(x, y, z, NV, cgt)

Contemporary Communications Systems Matlab Files by Omar Ruiz

Matlab Files in this book (signal processing, simulink, simulation)

[M,m,df]=fftseq(m,ts,df)

[Rx]=Rx_est(X,M)

[X]=gaus_mar(X0,rho,N)

Circle fitting using modified Coopes method by Daniel

Robust method for fitting a circle to data using Weighted Linear Least Squares. (curvature, circle, fit)

circfit( data, weights )

circfit_DEMO.m

N-Dimensional Trapezoidal integral by Mohammed Sadeq Al-Rawi

See title. (communications, biotech, image processing)

trapezoidal_rule_nd_integral(x, mat, N)

3D Trapezoidal Rule by Mohammed Sadeq Al-Rawi

This program can be used to find any triple integral, even if one has some empirical data. (mathematics, simulation, image processing)

trapezoidal_rule_triple_integral(x, y, z, mat)