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The parameter represents the (worst) embedding efficiency, that is, the number of embedded symbols per embedding changes in the worst case.
It is thus apparent that when changing neighboring pixels (or DCT coefficients), the embedding changes 'interact,' hence the non-additivity of D. By side-informed embedding in JPEG domain, we understand the following general principle.
It rates individual features' importance for embedding changes.
In Figure8, we contrast the probability of embedding changes for HUGO, WOW, and S-UNIWARD.
The placement of embedding changes for WOW and S-UNIWARD is quite similar, which is correspondingly reflected in their similar empirical security.
This way, we guarantee that both images were created using the same JPEG compressor and that all that we will be detecting are the embedding changes rather than compressor artifacts.
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Note that a small value of σ makes the embedding change probabilities undesirably sensitive to content.
Let p ij ( X, α ¯ ) denote the embedding change probability computed from image X when embedding payload of α ¯ bpp.
On the other hand, a large σ makes the embedding change probabilities 'too smooth,' permitting thus UNIWARD to embed in regions with less complex content.
In Figure2, we show the embedding change probabilities for payload α = 0.4 bpp (bits per pixel) for six values of the parameter σ.
In our experiments, a medium value of α ¯ = 0.4 generally provided a good estimate of the interleaved bands in the embedding change probabilities.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com