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lra.jl
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lra.jl
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# This file is part of Jlsca, license is GPLv3, see https://www.gnu.org/licenses/gpl-3.0.en.html
#
# Authors: Cees-Bart Breunesse, Ilya Kizhvatov
module Lra
export lra
# LRA for normal Matrix input
function lra(data::Matrix, samples::Matrix, keyByteOffsets::Vector{Int}, intermediateFunction::Function, basisFunction::Function, keyChunkValues=collect(UInt8, 0:255))
(rs,cs) = size(samples)
(rd,cd) = size(data)
R2 = zeros(Float64, (cs, cd*length(keyChunkValues)))
for i in 1:cd
o = (i-1)*length(keyChunkValues)+1
R2[:,o:o+length(keyChunkValues)-1] = lra(data[:,i], keyByteOffsets[i], samples, intermediateFunction, basisFunction, keyChunkValues)
end
return R2
end
# LRA for a single data column
function lra(data::Vector, dataColumn::Int, samples::Matrix, intermediateFunction::Function, basisFunction::Function, keyChunkValues=collect(UInt8, 0:255))
(rs, cs) = size(samples)
SStot = sum((samples .- mean(samples, 1)) .^ 2, 1)'
SSreg = zeros(Float64, (cs,length(keyChunkValues)))
for k in keyChunkValues
M = mapreduce(basisFunction, hcat, intermediateFunction(data, dataColumn, k))'
E = (M * inv(M' * M) * M' * samples - samples) .^ 2
SSreg[:,k+1] = mapslices(sum, E, 1)
end
R2 = 1 .- SSreg ./ SStot
return R2
end
end