Results 31 to 40 of about 89 (61)

Probabilistic verification beyond context-freeness [PDF]

open access: yes
Probability theory and probabilistic modelling have become indispensable across a wide range of scientific disciplines, with probabilistic programs emerging as a particularly flexible means of encoding sophisticated models in executable code.
Li, Guanyan
core   +2 more sources

A Basic Overview of Various Stochastic Approaches to Financial Modeling With Examples

open access: yes
This paper explores stochastic modeling approaches to elucidate the intricate dynamics of stock prices and volatility in financial markets. Beginning with an overview of Brownian motion and its historical significance in finance, we delve into various ...
Cunchala, Aashrit
core  

Dominic Welsh (1938-2023)

open access: yes
This biographical and scientific memoir of Dominic Welsh includes summaries of his important contributions to probability and combinatorics. With John Hammersley, he introduced first-passage percolation, and in so doing they formulated and proved the ...
Grimmett, Geoffrey R.
core  

Quantum geometrodynamics of higher derivative theories with and without conformal symmetry [PDF]

open access: yes, 2019
This thesis concerns with a framework of canonical quantization of gravity based on the EinsteinHilbert action extended by terms quadratic in curvature.
Nikolic, Branislav
core   +1 more source

A Universal Knowledge Model and Cognitive Architecture for Prototyping AGI

open access: yes
The article identified 42 cognitive architectures for creating general artificial intelligence (AGI) and proposed a set of interrelated functional blocks that an agent approaching AGI in its capabilities should possess.
Belousov, Evgeny   +4 more
core  

The EM Algorithm in Information Geometry

open access: yes
The purpose of this thesis is to convey the basic concepts of information geometry and its applications to non-specialists and those in applied fields, assuming only a first-year undergraduate background in calculus, linear algebra, and probability ...
Suliman, Sammy
core  

Electrostatic Origins of the Dirichlet Principle

open access: yes
The Dirichlet Principle is an approach to solving the Dirichlet problem by means of a Dirichlet energy integral. It is part of the folklore of mathematics that the genesis of this argument was motivated by physical analogy involving electrostatic fields.
Deckelman, Steven
core  

Artifical intelligence and inherent mathematical difficulty

open access: yes
This paper explores the relationship of artificial intelligence to the task of resolving open questions in mathematics. We first present an updated version of a traditional argument that limitative results from computability and complexity theory show ...
Dean, Walter, Naibo, Alberto
core  

Overview of fractional calculus and its computer implementation in Wolfram Mathematica

open access: yes
In this article we would like to consider some approaches to non-integer integro-differentiations and its implementation in computer algebra system Wolfram ...
Marichev, O. I., Shishkina, E. L.
core  

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