Results 61 to 70 of about 1,549 (180)

Systems of variational inequalities in the context of optimal switching problems and operators of Kolmogorov type

, 2014
In this paper we study the system where . A special case of this type of system of variational inequalities with terminal data occurs in the context of optimal switching problems.
Lundström, Niklas L P,, Olofsson, Marcus,, Lundström, Niklas,, Nyström, Kaj,   +3 more
core   +1 more source

Fairness at Risk: Where Bias Emerges in Machine Learning

Expert Systems, Volume 43, Issue 6, June 2026.
ABSTRACT Artificial intelligence and machine learning (ML) now shape decisions in healthcare, finance and security, but they can reproduce historical prejudice and inequality. Bias in training data and in model implementation can amplify harm, especially for racial and gender minorities.
Otavio de Paula Albuquerque, Marcelo Fantinato, Sarajane Marques Peres   +2 more
wiley   +1 more source

On Inequalities of the Landau–Kolmogorov–Hörmander Type on a Segment and Real Straight Line

, 2000
Доведено нерівності типу Ландау-Колмогорова-Хермандера для рівномірних норм (на деякому підінтервалі) додатних та від'ємних частин проміжних похідних функцій, що задані на скінченному інтервалі.
Кофанов, В.А.
core   +1 more source

Functional inequalities for a class of nonlocal hypoelliptic equations of Hörmander type

, 2020
We consider a class of second-order partial differential operators A of Hörmander type, which contain as a prototypical example a well-studied operator introduced by Kolmogorov in the ’30s.
Tralli G., Garofalo N.
core   +1 more source

A New Proof of the Geometric Sobolev Embedding for Generalised Kolmogorov Operators

In this note we revisit nonlocal isoperimetric inequalities and the related embeddings for Besov spaces adapted to a class of Hörmander operators of Kolmogorov-type (Garofalo and Tralli, J Funct Anal 279:108591, 2020).
Nicola Garofalo, Giulio Tralli
core   +1 more source

Entropy Region and Network Information Theory [PDF]

, 2011
This dissertation takes a step toward a general framework for solving network information theory problems by studying the capacity region of networks through the entropy region.
Sormeh Shadbakht, Shadbakht, Sormeh
core   +1 more source

Poincare inequalities and normal approximation for weighted sums

, 2020
Bobkov SG, Chistyakov G, Götze F. Poincare inequalities and normal approximation for weighted sums. Electronic Journal of Probability. 2020;25: 155.Under Poincare-type conditions, upper bounds are explored for the Kolmogorov distance between the ...
Chistyakov, Gennadiy, Bobkov, S. G., Götze, Friedrich   +2 more
core   +1 more source

Landau-Kolmogorov inequalities in Sobolev spaces

, 2012
Ce travail est dédié à l’étude des inégalités de type Landau-Kolmogorov en normes L2. Les mesures utilisées sont celles d’Hermite, de Laguerre-Sonin et de Jacobi. Ces inégalités sont obtenues en utilisant une méthode variationnelle. Elles font intervenir
Abbas, Lamia
core  

Notions and applications of algorithmic randomness [PDF]

, 2013
Algorithmic randomness uses computability theory to define notions of randomness for infinite objects such as infinite binary sequences. The different possible definitions lead to a hierarchy of randomness notions. In this thesis we study this hierarchy,
Vermeeren, Stijn
core  

On Kolmogorov-type inequalities for fractional derivatives of functions of two variables

, 2008
Доведено нову точну нерівність типу Колмогорова, яка оцінює норму мішаної похідної дробового порядку (в сенсі Маршо) функції двох змінних через норму самої функції і норми її частинних похідних першого порядку.A new sharp inequality of the Kolmogorov ...
Бабенко, В.Ф., Пичугов, С.А.   +1 more
core   +2 more sources