2 citations · 5 across the 19 of their papers we have counts for
23 papers
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…
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…
Majority rule as a unique voting method in elections with multiple candidates
Mateusz Krukowski
May's classical theorem states that in a single-winner choose-one voting system with just two candidates, majority rule is the only social choice function satisfying anonimity, neu…
Characterizing the Fourier transform by its properties
Mateusz Krukowski
It is common knowledge that the Fourier transform enjoys the convolution property, i.e., it turns convolution in the time domain into multiplication in the frequency domain. It is…
Integral transforms characterized by convolution
Mateusz Krukowski
Inspired by Jaming's characterization of the Fourier transform on specific groups via the convolution property, we provide a novel approach which characterizes the Fourier transfor…
From Schwartz space to Mellin transform
Mateusz Krukowski
The primary motivation behind this paper is an attempt to provide a thorough explanation of how the Mellin transform arises naturally in a process akin to the construction of the c…