Results 141 to 150 of about 5,933,118 (327)
On the Convergence Results for Gradient Descent Systems
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT This paper aims to advance the theoretical understanding of gradient flow and gradient descent optimization methods by establishing rigorous convergence results for continuous‐time gradient flow equations and discrete gradient descent processes.
Arzu Ahmadova
wiley +1 more source
FOURIER AND CAUCHY–STIELTJES TRANSFORMS OF POWER LAWS INCLUDING STABLE DISTRIBUTIONS [PDF]
, 2011 Takahiro Hasebe
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Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT In this paper, we propose angular stabilization of drone's motion using distributed feedback control in the form of an integral operator. It should be stressed that the memory of this integral operator could be unbounded. It is intuitively clear that large length of the observation time opens new possibilities to construct better control based
Alexander Domoshnitsky +2 more
wiley +1 more source
On Stability Estimates of a Characterization of the Cauchy Distribution [PDF]
, 2014 R. Yanushkevichius
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Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT The paper proposes a variational analysis of the 1‐hypergeometric stochastic volatility model for pricing European options. The methodology involves the derivation of estimates of the weak solution in a weighted Sobolev space. The weight is closely related to the stochastic volatility dynamic of the model.
José Da Fonseca, Wenjun Zhang
wiley +1 more source
Diffusive Resource–Consumer Dynamics With the Simplest Learning Mechanism and Nonlocal Memory Usage
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT To describe cognitive consumers' movement, we study a diffusive resource–consumer model with nonlocal memory usage described by a system of parabolic equations, which is coupled with spatial memory dynamics described by a linear learning equation.
Qigang Deng, Ranchao Wu, Hao Wang
wiley +1 more source
Emergence of the wrapped Cauchy distribution in mixed directional data
AStA Advances in Statistical Analysis, 2020 Joseph D. Bailey, Edward A. Codling
semanticscholar +1 more source
A Characterization of the Cauchy Distribution [PDF]
The Annals of Mathematical Statistics, 1962 openaire +3 more sources
Geometrical understanding of the Cauchy distribution
Qüestiió: quaderns d'estadística i investigació operativa, 2002 Advanced calculus is necessary to prove rigorously the main properties of the Cauchy distribution. It is well known that the Cauchy distribution can be generated by a tangent transformation of the uniform distribution. By interpreting this transformation on a circle, it is possible to present elementary and intuitive proofs of some important and useful
openaire +2 more sources