round_stochastic {pomdp}

Round a stochastic vector or a row-stochastic matrix

Description

Rounds a vector such that the sum of 1 is preserved. Rounds a matrix such that each row sum up to 1. One entry is adjusted after rounding such that the rounding error is the smallest.

Usage

round_stochastic(x, digits = 7)

Arguments

x

a stochastic vector or a row-stochastic matrix.

digits

number of digits for rounding.

Value

The rounded vector or matrix.

See Also

round

Examples

# regular rounding would not sum up to 1 
x <- c(0.333, 0.334, 0.333)

round_stochastic(x)
round_stochastic(x, digits = 2)
round_stochastic(x, digits = 1)
round_stochastic(x, digits = 0)


# round a stochastic matrix
m <- matrix(runif(15), ncol = 3)
m <- sweep(m, 1, rowSums(m), "/")

m
round_stochastic(m, digits = 2)
round_stochastic(m, digits = 1)
round_stochastic(m, digits = 0)