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This file contains hidden or bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters. Learn more about bidirectional Unicode charactersOriginal file line number Diff line number Diff line change @@ -1,10 +1,10 @@ gradientDescent <- function(X, y, initial_theta, method = "BFGS", ...) { m <- nrow(y) sigmoid <- function(x) 1 / (1 + exp(-x)) gradFunction <- function(theta) (1/m) * (t(X) %*% (sigmoid(X %*% theta)-y)) costFunction <- function(theta) (1/m) * (t(-y) %*% log(sigmoid(X %*% theta)) - t(1-y) %*% log(1 - sigmoid(X %*% theta))) optim(initial_theta, costFunction, gradFunction, method = method, ...) } -
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This file contains hidden or bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters. Learn more about bidirectional Unicode charactersOriginal file line number Diff line number Diff line change @@ -0,0 +1,80 @@ gradientDescent <- function(X, y, initial_theta, method = "BFGS", ...) { m <- nrow(y) sigmoid <- function(x) 1 / (1 + exp(-x)) gradFunction <- function(theta) (1/m) * (t(X) %*% (sigmoid(X %*% theta)-y)) costFunction <- function(theta) (1/m) * (t(-y) %*% log(sigmoid(X %*% theta)) - t(1-y) %*% log(1 - sigmoid(X %*% theta))) optim(initial_theta, costFunction, gradFunction, method = method, ...) } loadInput <- function() { structure(c(34.623659624517, 30.2867107682261, 35.8474087699387, 60.1825993862098, 79.0327360507101, 45.0832774766834, 61.1066645368477, 75.0247455673889, 76.0987867022626, 84.4328199612004, 95.8615550709357, 75.0136583895825, 82.3070533739948, 69.3645887597094, 39.5383391436722, 53.9710521485623, 69.0701440628303, 67.9468554771162, 70.6615095549944, 76.978783727475, 67.3720275457088, 89.6767757507208, 50.534788289883, 34.2120609778679, 77.9240914545704, 62.2710136700463, 80.1901807509566, 93.114388797442, 61.830206023126, 38.7858037967942, 61.379289447425, 85.4045193941164, 52.1079797319398, 52.0454047683183, 40.2368937354511, 54.6351055542482, 33.9155001090689, 64.1769888749449, 74.7892529594154, 34.1836400264419, 83.9023936624915, 51.5477202690618, 94.4433677691785, 82.3687537571392, 51.0477517712887, 62.2226757612019, 77.1930349260136, 97.7715992800023, 62.0730637966765, 91.5649744980744, 79.9448179406693, 99.2725269292572, 90.5467141139985, 34.5245138532001, 50.2864961189907, 49.5866772163203, 97.6456339600777, 32.5772001680931, 74.248691367216, 71.7964620586338, 75.3956114656803, 35.2861128152619, 56.2538174971162, 30.058822446698, 44.6682617248089, 66.5608944724295, 40.4575509837516, 49.0725632190884, 80.27957401467, 66.7467185694404, 32.7228330406032, 64.0393204150601, 72.3464942257992, 60.4578857391896, 58.840956217268, 99.8278577969213, 47.2642691084817, 50.4581598028599, 60.4555562927153, 82.2266615778557, 88.9138964166533, 94.834506724302, 67.3192574691753, 57.2387063156986, 80.3667560017127, 68.4685217859111, 42.0754545384731, 75.4777020053391, 78.6354243489802, 52.3480039879411, 94.0943311251679, 90.4485509709636, 55.4821611406959, 74.4926924184304, 89.8458067072098, 83.4891627449824, 42.2617008099817, 99.3150088051039, 55.340017560037, 74.7758930009277, 78.0246928153624, 43.894997524001, 72.9021980270836, 86.3085520954683, 75.3443764369103, 56.3163717815305, 96.5114258848962, 46.5540135411654, 87.420569719268, 43.5333933107211, 38.2252780579509, 30.6032632342801, 76.481963302356, 97.7186919618861, 76.0368108511588, 89.207350137502, 52.7404697301677, 46.6785741067313, 92.9271378936483, 47.5759636497553, 42.8384383202918, 65.7993659274524, 48.855811527642, 44.2095285986629, 68.9723599933059, 69.9544579544759, 44.8216289321835, 38.8006703371321, 50.2561078924462, 64.9956809553958, 72.807887313171, 57.0519839762712, 63.1276237688172, 69.4328601204522, 71.1677480218488, 52.2138858806112, 98.8694357422061, 80.9080605867082, 41.5734152282443, 75.2377203360134, 56.3080462160533, 46.8562902634998, 65.5689216055905, 40.6182551597062, 45.82270145776, 52.0609919483668, 70.4582000018096, 86.7278223300282, 96.7688241241398, 88.696292545466, 74.1631193504376, 60.9990309984499, 43.3906018065003, 60.3963424583717, 49.8045388132306, 59.8089509945327, 68.861572724206, 95.5985476138788, 69.8245712265719, 78.4535622451505, 85.7599366733162, 47.0205139472342, 39.2614725105802, 49.5929738672369, 66.4500861455891, 41.0920980793697, 97.5351854890994, 51.8832118207397, 92.1160608134408, 60.9913940274099, 43.3071730643006, 78.0316880201823, 96.227592967614, 73.0949980975804, 75.8584483127904, 72.3692519338389, 88.4758649955978, 75.8098595298246, 42.5084094357222, 42.7198785371646, 69.8037888983547, 45.6943068025075, 66.5893531774792, 59.5142819801296, 90.9601478974695, 85.5943071045201, 78.8447860014804, 90.4245389975396, 96.6474271688564, 60.7695052560259, 77.1591050907389, 87.508791764847, 35.5707034722887, 84.8451368493014, 45.3582836109166, 48.3802857972818, 87.1038509402546, 68.7754094720662, 64.9319380069486, 89.5298128951328, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1), .Dim = c(100L, 3L)) } # Begin Computation input <- loadInput() X <- cbind(1, input[, 1:2]) # Adding unit column vector y <- cbind(input[, 3]) initial_theta <- matrix(0, nrow=3) gradientDescent(X, y, initial_theta, control = list(maxit = 1000)) gradientDescent(X, y, initial_theta, method = "Nelder-Mead")