Publications by Don Padmaperuma
DATA 609 Homework 2
Ex. 1 Show \(x^2+\exp(x)+2x^4+1\) is convex. A function is called a convex function x + y) f(x) + f(y); 8x; y 2 \[f(\alpha x+\beta y) \le \alpha f(x)+\beta f(y), \alpha \ge 0, \beta \ge 0, \alpha + \beta=1\] Solution \(f(\alpha x + \beta y)\le \alpha f(x) + \beta f(y)\) \((\alpha x + \beta y)^2 + exp(\alpha x + \beta y) + 2(\alpha x + \beta y)^...
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DATA 698 Midterm Draft
library(dplyr) ## ## Attaching package: 'dplyr' ## The following objects are masked from 'package:stats': ## ## filter, lag ## The following objects are masked from 'package:base': ## ## intersect, setdiff, setequal, union library(tidyr) library(tidyverse) ## -- Attaching packages -------------------------------------------------...
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DATA 609 Homework 7
EX.1 Use the svm() algorithm of e1071 package to carry out the Support vector machine for the PlantGrowth dataset. Then discuss the number of support vector/samples. library(e1071) ## Warning: package 'e1071' was built under R version 4.1.2 library(caret) ## Warning: package 'caret' was built under R version 4.1.2 ## Loading required package: ggp...
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DATA 698 Final Research Project
library(dplyr) ## ## Attaching package: 'dplyr' ## The following objects are masked from 'package:stats': ## ## filter, lag ## The following objects are masked from 'package:base': ## ## intersect, setdiff, setequal, union library(tidyr) library(tidyverse) ## -- Attaching packages --------------------------------------- tidyverse...
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