Read e-book online 5th International Conference on Geometry and Applications PDF

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By Atanasov D.V.

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Operator E(X) stands for the expected value of its argument X. X ∼ N (μ, σ) means that random variable X is drawn from a Gaussian distribution with mean μ and standard deviation σ. Analogously, we write N (μ, Σ) for the multivariate case with covariance matrix Σ. When convenient, we also use probability spaces (Ω, P) on the right-hand side of operator ‘∼’, using the simplified notation (Ω, P) = (Ω, P(Ω), P) since the set of events is implicit for countable sample spaces. , all integers i : a ≤ i ≤ b are equally probable).

In this scenario, the (i ) (i ) steganalyst inspects a set of suspect objects {x1 1 , . . , xNN } and has to decide whether steganography is used in any of them or not at all. This scenario corresponds to a situation where a storage device, on which secret data may be hidden in anticipation of a possible confiscation, is seized. In this setting, sender and recipient may be the same person. , to find the least-detectable sequence (i1 , . . , iN ), as well as the optimal aggregation of evidence from N runs of Detect.

2 (b)). In this case it is particularly hard to compare different methods objectively. As a remedy, many metrics derived from the ROC curve have been proposed to express steganographic security (or steganalysis performance) on a continuous scale, most prominently, • the detector reliability as area under the curve (AUC), minus the triangle below the 45◦ line, scaled to the interval [0, 1] (a measure of insecurity: values of 1 imply perfect detectability) [68], • the false positive rate at 50% detection rate (denoted by FP50 ), • the equal error rate EER = α ⇔ α = β, α+β • the total minimal decision error TMDE = minτ [87], and 2 • the minimum of a cost- or utility-weighted sum of α and β whenever dependable weights are known for a particular application (for example, false positives are generally believed to be more costly in surveillance scenarios).

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5th International Conference on Geometry and Applications by Atanasov D.V.

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