Borda_count: Borda count algorithm for nonparametric tensor estimation...

In SmoothTensor: A Collection of Smooth Tensor Estimation Methods

Description

Estimate a signal tensor and permutation from a noisy and incomplete data tensor using Borda count estimation method.

Usage

Borda_count(A, l, kvec, sym = FALSE)

Arguments

A	A given (possibly noisy and incomplete) data tensor. Missing value should be encoded as NA.
l	Degree of polynomial approximation.
kvec	A vector of the number of groups for each mode.
sym	Boolean variables representing symmetricity of the signal tensor. Non-symmetric tensor (sym = FALSE) is default.

Value

The returned object is a list of components.

Theta - An estimated signal tensor based on Borda count estimation.

permutation - An estimated permutation based on Borda count estimation.

References

C. Lee and M. Wang. Smooth tensor estimation with unknown permutations. arXiv:2111.04681, 2021.

Examples

# Generate the noisy observation from smooth tensor and permutation
d = 20
sim1 = simulation(d,mode = 1)
signal_T = sim1$signal
observe_T = sim1$observe
permutation = sim1$permutation

# Estimate signal tensor and permutation
kvec = c(3,3,3)
result = Borda_count(observe_T,2,kvec,sym = TRUE)

# Calculate MSE
hatTheta = result$Theta
mean((hatTheta-signal_T)^2)

SmoothTensor documentation built on Nov. 16, 2021, 9:08 a.m.