Results 81 to 90 of about 4,621 (238)

On a vector-valued generalisation of viscosity solutions for general PDE systems

, 2018
We propose a theory of non-differentiable solutions which applies to fully nonlinear PDE systems and extends the theory of viscosity solutions of Crandall-Ishii-Lions to the vectorial case.
Katzourakis, Nikos
core  

Generative AI—the Transgression of Technology

Systems Research and Behavioral Science, EarlyView.
ABSTRACT This article offers a systems‐theoretical analysis of generative artificial intelligence (GenAI) grounded in Niklas Luhmann's sociology of technology. It addresses a central conceptual problem: How GenAI can be understood within a theoretical framework that has traditionally defined technology as a means of stabilising action through causal ...
Jesper Tække
wiley   +1 more source

Tests on asymmetry for ordered categorical variables. [PDF]

J Appl Stat, 2021
Klein I, Doll M.
europepmc   +1 more source

Static assignment of complex stochastic tasks using stochastic majorization [PDF]

We consider the problem of statically assigning many tasks to a (smaller) system of homogeneous processors, where a task's structure is modeled as a branching process, and all tasks are assumed to have identical behavior.
Nicol, David, Simha, Rahul, Towsley, Don
core   +1 more source

A Systems‐Level Approach to Address Risks and Ethics in Artificial Intelligence Systems

Systems Engineering, EarlyView.
ABSTRACT Artificial intelligence (AI) is rapidly changing the world, from completely controlling routine or mundane tasks like text and image generation, to powering advanced algorithms that control critical systems. The recent advances in generative AI quickly overwhelmed multiple industries from education to finance as first adopters rushed (and ...
Vincent P. Paglioni, Torrey Mortenson
wiley   +1 more source

Gravity, Quantum Fields and Quantum Information: Problems with Classical Channel and Stochastic Theories. [PDF]

Entropy (Basel), 2022
Anastopoulos C, Hu BL.
europepmc   +1 more source

STOCHASTIC DOMINANCE [PDF]

The concept of stochastic dominance is defined, and its relation to welfare, poverty, and income inequality explained. A brief discussion is provided of how statistical inference may be performed for hypotheses relating to stochastic dominance.
Russell Davidson
core  

Analogies and differences between the logic behind statistical hypothesis testing and proofs by contradiction: What can we learn from them?

Teaching Statistics, EarlyView.
Abstract Statistical hypothesis testing (SHT) is widely employed across numerous scientific disciplines, and a clear understanding of its underlying logic is essential for the broader scientific community. Here, drawing upon both epistemological and statistical perspectives, we aim to clarify—primarily for educational purposes—the logical relationship ...
Maria Cristina Amoretti, Daniele De Martini   +1 more
wiley   +1 more source

Sunspots do matter: a simple disproof of Mas-Colell [PDF]

Mas-Colell conjectured that, for economies admitting a unique deterministic equilibrium, sunspot equilibria that 'matter'' would not exist.
Marco Huesch
core  

Probabilistic Analysis of Distributed Fractional-Order Stochastic Systems Driven by Fractional Brownian Motion: Existence, Uniqueness, and Transportation Inequalities

Symmetry
This paper investigates a class of distributed fractional-order stochastic differential equations driven by fractional Brownian motion with a Hurst parameter 1/2<H<1. By employing the Picard iteration method, we rigorously prove the existence and uniqueness of solutions with Lipschitz conditions.
Guangyue Xia, Liping Xu, Zhi Li
openaire   +1 more source