20 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Slovak Academy of SciencesSK10 papers
- Matej Bel UniversitySK4 papers
- Mathematical Institute of the Slovak Academy of SciencesSK3 papers
- University of CopenhagenDK2 papers
- Aarhus UniversityDK1 paper
- Bicester Community HospitalGB1 paper
- John Radcliffe HospitalGB1 paper
- Johns Hopkins MedicineUS1 paper
- Johns Hopkins UniversityUS1 paper
- University of CambridgeGB1 paper
- University of OxfordGB1 paper
- Wellcome Centre for Integrative NeuroimagingGB1 paper
14 papers
Characteristic Function of the Tsallis -Gaussian and Its Applications in Measurement and Metrology
Viktor Witkovský
The Tsallis -Gaussian distribution is a powerful generalization of the standard Gaussian distribution and is commonly used in various fields, including non-extensive statistical…
Rapid, -insensitive, dual-band quasi-adiabatic saturation transfer with optimal control for complete quantification of myocardial ATP flux
Jack J. Miller, Ladislav Valkovič, Matthew Kerr +8
Purpose: Phosphorus saturation-transfer experiments can quantify metabolic fluxes non-invasively. Typically, the forward flux through the creatine-kinase reaction is investigated b…
Convex method for selection of fixed effects in high-dimensional linear mixed models
Jozef Jakubik
Analysis of high-dimensional data is currently a popular field of research, thanks to many applications e.g. in genetics (DNA data in genomewide association studies), spectrometry…
Logarithmic Lambert random variables for the family of chi-squared distributions and their applications
Viktor Witkovský, Gejza Wimmer, Tomy Duby
We introduce a class of logarithmic Lambert W random variables for a specific family of distributions. In particular, we characterize the log-Lambert W random variables for chi-squ…
Gibbs conditioning extended, Boltzmann conditioning introduced
Marian Grendar
Conditional Equi-concentration of Types on I-projections (ICET) and Extended Gibbs Conditioning Principle (EGCP) provide an extension of Conditioned Weak Law of Large Numbers and o…
Maximum Entropy method with non-linear moment constraints: challenges
M. Grendar, M. Grendar
Traditionally, the Method of (Shannon-Kullback's) Relative Entropy Maximization (REM) is considered with linear moment constraints. In this work, the method is studied under freque…
Maximum Probability and Maximum Entropy methods: Bayesian interpretation
M. Grendar, M. Grendar
(Jaynes') Method of (Shannon-Kullback's) Relative Entropy Maximization (REM or MaxEnt) can be - at least in the discrete case - according to the Maximum Probability Theorem (MPT) v…
Chernoff's bound forms
M. Grendar, M. Grendar
Chernoff's bound binds a tail probability (ie. , where ). Assuming that the distribution of is , the logarithm of the bound is known to be equal to th…
Why Maximum Entropy? A Non-axiomatic Approach
M. Grendar, M. Grendar
Ill-posed inverse problems of the form y = X p where y is J-dimensional vector of a data, p is m-dimensional probability vector which cannot be measured directly and matrix X of ob…
Randomness as an Equilibrium. Potential and Probability Density
M. Grendar, M. Grendar
Randomness is viewed through an analogy between a physical quantity, density of gas, and a mathematical construct -- probability density. Boltzmann's deduction of equilibrium distr…
What is the question that MaxEnt answers? A probabilistic interpretation
Marian Grendar
The Boltzmann-Wallis-Jaynes' multiplicity argument is taken up and elaborated. MaxEnt is proved and demonstrated to be just an asymptotic case of looking for such a vector of absol…
Minimax Entropy and Maximum Likelihood. Complementarity of tasks, identity of solutions
Marian Grendar, Marian Grendar
Concept of exponential family is generalized by simple and general exponential form. Simple and general potential are introduced. Maximum Entropy and Maximum Likelihood tasks are d…
Directed percolation with an absorbing boundary
K. B. Lauritsen, K. Sneppen, M. Markosova +1
We consider directed percolation with an absorbing boundary in 1+1 and 2+1 dimensions. The distribution of cluster lifetimes and sizes depend on the boundary. The new scaling expon…
Onset of criticality and transport in a driven diffusive system
M. Markosova, M. H. Jensen, K. B. Lauritsen +1
We study transport properties in a slowly driven diffusive system where the transport is externally controlled by a parameter . Three types of behavior are found: For the…