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math.ST2025
ROC curves for LDA classifiers
Mateusz Krukowski
In the paper, we derive an analytic formula for the ROC curves of the LDA classifiers. We establish elementary properties of these curves (monotonicity and concavity), provide form…
math.PR2025
Darwinian evolution in Malthusian population growth model and Markov chains
Mateusz Krukowski
The paper is devoted to the study of Darwinian evolution in two mathematical models. The first one is a variation on the Malthusian population growth model with Verhulst's environm…