19 citations · 88 across the 11 of their papers we have counts for
11 papers
Some ideas about graphic representations of discrete fuzzy measures
Jian-Zhang Wu, Gleb Beliakov
Graphs serve as efficient tools for visualizing mathematical concepts and their interrelationships. In this paper, focusing on the discrete case with universal set with finite elem…
Generating fuzzy measures from additive measures
Jian-Zhang Wu, Gleb Beliakov
Fuzzy measures, also referred to as nonadditive measures, emerge from the foundational concept of additive measures by transforming additivity into monotonicity. In comparison to t…
Hierarchical clustering with OWA-based linkages, the Lance-Williams formula, and dendrogram inversions
Marek Gagolewski, Anna Cena, Simon James +1
Agglomerative hierarchical clustering based on Ordered Weighted Averaging (OWA) operators not only generalises the single, complete, and average linkages, but also includes intercl…
Global Stability and Periodicity in a Glucose-Insulin Regulation Model with a Single Delay
M. Angelova, G. Beliakov, A. Ivanov +1
A two-dimensional system of differential equations with delay modelling the glucose-insulin interaction processes in the human body is considered. Sufficient conditions are derived…
Weakly monotone averaging functions
Tim Wilkin, Gleb Beliakov
Monotonicity with respect to all arguments is fundamental to the definition of aggregation functions. It is also a limiting property that results in many important non-monotonic av…
On fast matrix-vector multiplication with a Hankel matrix in multiprecision arithmetics
Gleb Beliakov
We present two fast algorithms for matrix-vector multiplication , where is a Hankel matrix. The current asymptotically fastest method is based on the Fast Fourier Transfo…
Approximation of Riemann's zeta function by finite Dirichlet series: multiprecision numerical approach
Gleb Beliakov, Yuri Matiyasevich
The finite Dirichlet series from the title are defined by the condition that they vanish at as many initial zeroes of the zeta function as possible. It turned out that such series…
A Parallel Algorithm for Calculation of Large Determinants with High Accuracy for GPUs and MPI clusters
Gleb Beliakov, Yuri Matiyasevich
We present a parallel algorithm for calculating very large determinants with arbitrary precision on computer clusters. This algorithm minimises data movements between the nodes and…
Parallel random variates generator for GPUs based on normal numbers
Gleb Beliakov, Michael Johnstone, Doug Creighton +1
Pseudorandom number generators are required for many computational tasks, such as stochastic modelling and simulation. This paper investigates the serial CPU and parallel GPU imple…
Robust artificial neural networks and outlier detection. Technical report
Gleb Beliakov, Andrei Kelarev, John Yearwood
Large outliers break down linear and nonlinear regression models. Robust regression methods allow one to filter out the outliers when building a model. By replacing the traditional…
Parallel calculation of the median and order statistics on GPUs with application to robust regression
Gleb Beliakov
We present and compare various approaches to a classical selection problem on Graphics Processing Units (GPUs). The selection problem consists in selecting the -th smallest elem…