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Applying an Approximation of the Anderson Discriminant Function and Support Vector Machines for Solving Some Classification Tasks
The Anderson discriminant function has a number of properties useful for solving classification problems and for evaluating posterior class...
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Evaluation of the Posterior Probability of a Class with a Series of Anderson Discriminant Functions
We propose a method of supervised estimation with a training set of the posterior probabilities of an object belonging to classes according to a...
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Landen inequalities for Gaussian hypergeometric function
In the article, we present several Landen inequalities, and quadratic and cubic transformation inequalities for general Gaussian hypergeometric...
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Estimating the Probability of a Class at a Point by the Approximation of One Discriminant Function
We propose a method for estimating the posterior probability of a class at a given point by approximating a discriminant function that takes a zero...
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Computational Number Theory, Past, Present, and Future
A survey of computational number theory viewed through the prism of my own experience and the Pari/GP software.
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Drinfeld Modules Over Global Fields
Let K be a finite extension of F, considered as an A-field via the natural embeddings.
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Using weighted least squares to approximate the discriminant function with a cylindrical surface in classification problems
We show a method for approximating a discriminant function with a cylindrical surface in classification and image recognition problems by sequential...
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Morphological Stability for in silico Models of Avascular Tumors
The landscape of computational modeling in cancer systems biology is diverse, offering a spectrum of models and frameworks, each with its own...
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Differential Invariants in Algebra
In these lectures, we discuss two approaches to studying orbit spaces of algebraic Lie groups. Due to algebraic approach orbit space, or quotient, is...
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Robust classical-impulse stochastic control problems in an infinite horizon
This paper establishes a general analytical framework for classical and impulse stochastic control problems in the presence of model uncertainty. We...
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Prime Density of Companion Lucas Sequences
It seems to me that the poet has to perceive that which others do not perceive, to look deeper than others look. And the mathematician must do the...
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Schrödinger operators with potentials generated by hyperbolic transformations: I—positivity of the Lyapunov exponent
We consider discrete one-dimensional Schrödinger operators whose potentials are generated by sampling along the orbits of a general hyperbolic...
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Levels of distribution for sieve problems in prehomogeneous vector spaces
In our companion paper [28], we developed an efficient algebraic method for computing the Fourier transforms of certain functions defined on...
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Signatureless Anomalous Behavior Detection in Information Systems
The early detection of cyber threats with cyber-attacks adapted to the nature of information systems is a crucial cybersecurity problem. This problem...
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On a three-dimensional and two four-dimensional oncolytic viro-therapy models
We revisit and carry out further computations on tumor-virotherapy compartmental models of Tian (Math Biosci Eng 8(3):841,
2011 ), Wang et al. (Appl...
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Bounds on the Parameters of Non-L-Borderenergetic Graphs
We consider graphs whose Laplacian energy is equivalent to the Laplacian energy of the complete graph of the same order, which is called an L -borderen...
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Problems in arithmetic topology
We present a list of problems in arithmetic topology posed at the June 2019 PIMS/NSF workshop on “Arithmetic Topology.” Three problem sessions were...