library(CRFutil)
# Fully connected
grphf <- ~1:2+1:3+2:3
adj <- ug(grphf, result="matrix")
# Check the graph:
gp <- ug(grphf, result = "graph")
dev.off()
iplot(gp)
f0 <- function(y){ as.numeric(c((y==1),(y==2)))}
n.states <- 2
# Instantiate an empty model to fit:
psl <- make.crf(adj, n.states)
psl <- make.features(psl)
psl <- make.par(psl, 6)
psl$node.par[1,1,] <- 1
psl$node.par[2,1,] <- 2
psl$node.par[3,1,] <- 3
psl$edge.par[[1]][1,1,1] <- 4
psl$edge.par[[1]][2,2,1] <- 4
psl$edge.par[[2]][1,1,1] <- 5
psl$edge.par[[2]][2,2,1] <- 5
psl$edge.par[[3]][1,1,1] <- 6
psl$edge.par[[3]][2,2,1] <- 6
configs <- rbind(
c(1,1,1), #X1
c(2,1,1), #X2
c(1,2,1), #X3
c(2,2,1), #X4
c(1,1,2), #X5
c(2,1,2), #X6
c(1,2,2), #X7
c(2,2,2) #X8
)
node.numb <- 1
config.numb <- 2
X <- configs[config.numb,]
Xc <- complement.at.idx(configuration = X, complement.index = node.numb)
symbolic.conditional.energy(config = X, condition.element.number = node.numb, crf = psl, ff = f0, printQ = F)
symbolic.conditional.energy(config = Xc, condition.element.number = node.numb, crf = psl, ff = f0, printQ = F)
#phi.component(config = X, i=3, node.par=psl$node.par, ff=f0)
#phi.component(config = X, i=1, j=3, edge.par = psl$edge.par, edge.mat = psl$edges, ff = f0)
ec1 <- symbolic.conditional.energy(config = X, condition.element.number = 1, crf = psl, ff = f0, printQ = F, format = "conditional.phi")
ecc1 <- symbolic.conditional.energy(config = complement.at.idx(configuration = X, complement.index = 1), condition.element.number = 1, crf = psl, ff = f0, printQ = F, format = "conditional.phi")
ec1-ecc1
ec2 <- symbolic.conditional.energy(config = X, condition.element.number = 2, crf = psl, ff = f0, printQ = F, format = "conditional.phi")
ecc2 <- symbolic.conditional.energy(config = complement.at.idx(configuration = X, complement.index = 2), condition.element.number = 2, crf = psl, ff = f0, printQ = F, format = "conditional.phi")
ec2-ecc2
ec3 <- symbolic.conditional.energy(config = X, condition.element.number = 3, crf = psl, ff = f0, printQ = F, format = "conditional.phi")
ecc3 <- symbolic.conditional.energy(config = complement.at.idx(configuration = X, complement.index = 3), condition.element.number = 3, crf = psl, ff = f0, printQ = F, format = "conditional.phi")
ec3-ecc3
(ec1-ecc1) + (ec2-ecc2) + (ec3-ecc3)
# Delta-alpha matrix:
MX <- array(NA,c(nrow(configs)*psl$n.nodes, psl$n.par))
count <- 1
#for(i in 1:nrow(configs)) {
# for(j in 1:psl$n.nodes) {
for(j in 1:psl$n.nodes) {
for(i in 1:nrow(configs)) {
ec <- symbolic.conditional.energy(config = configs[i,], condition.element.number = j, crf = psl, ff = f0, printQ = F, format = "conditional.phi")
ecc <- symbolic.conditional.energy(config = complement.at.idx(configuration = configs[i,], complement.index = j), condition.element.number = j, crf = psl, ff = f0, printQ = F, format = "conditional.phi")
print(paste("sample X:", i, "Node:", j) )
#print(ec)
#print(ecc)
print(ec-ecc)
MX[count,] <- ec-ecc
count <- count + 1
}
}
MX
y <-c(configs[,1], configs[,2],configs[,3])
y
y[which(y==2)] <- 0
y
M1 <- glm(y ~ MX[,1] + MX[,2] + MX[,3] + MX[,4] + MX[,5] + MX[,6] - 1, family=binomial(link="logit"))
summary(M1)
library(lme4)
M2 <- glmer(y ~ MX[,1] + MX[,2] + MX[,3] + MX[,4] + MX[,5] + MX[,6], family=binomial(link="logit"))
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