Search
Search Results
-
Functional Central Limit Theorem and Strong Law of Large Numbers for Stochastic Gradient Langevin Dynamics
We study the mixing properties of an important optimization algorithm of machine learning: the stochastic gradient Langevin dynamics (SGLD) with a...
-
Functional strong law of large numbers for Betti numbers in the tail
The objective of this paper is to investigate the layered structure of topological complexity in the tail of a probability distribution. We establish...
-
Functional strong laws of large numbers for Euler characteristic processes of extreme sample clouds
To recover the topology of a manifold in the presence of heavy tailed or exponentially decaying noise, one must understand the behavior of geometric...
-
On the Strong Law of Large Numbers for Linear Combinations of Concomitants
AbstractA theorem on the strong law of large numbers for linear functions of concomitants (induced order statistics) for sequences of independent...
-
The Strong-Interaction Limit of Density Functional Theory
This is a comprehensive review of the strong-interaction limit of density functional theory. It covers the derivation of the limiting strictly...
-
Weak and Strong Versions of the Kolmogorov 4/5-Law for Stochastic Burgers Equation
For solutions of the space-periodic stochastic 1d Burgers equation we establish two versions of the Kolmogorov 4/5-law; this provides an asymptotic...
-
The Law of Large Numbers. Edgar Zilsel’s Attempt at the Foundation of Physical and Socio-Historical Laws
The general aim of the paper is to analyze to what extent Zilsel’s early work on probability shaped his later methodology regarding empirical...
-
Martingale Convergence and Laws of Large Numbers
As usual, we will work in the setting that our branching Markov process,...
-
On Limit Theorems for Functional Autoregressive Processes with Random Coefficients
AbstractIn this paper we consider a Banach space valued random coefficient autoregressive process. Our studies on this process involve existence,...
-
Strong solutions to McKean–Vlasov SDEs with coefficients of Nemytskii type: the time-dependent case
We consider a large class of nonlinear FPKEs with coefficients of Nemytskii type depending explicitly on time and space, for which it is known that...
-
Large deviation principle for persistence diagrams of random cubical filtrations
The objective of this article is to investigate the asymptotic behavior of the persistence diagrams of a random cubical filtration as the window size...
-
Strong convergence of a nonparametric relative error regression estimator under missing data with functional predictors
In this paper, we develop a nonparametric estimator of the regression function for a functional explanatory variable and a scalar response variable...
-
The law of large numbers for weakly correlated random elements in the spaces lp, 1 ⩽ p < ∞
We prove an analogue of Khinchin’s theorem for weakly correlated random elements with values in the spaces l p , 1 ⩽ p < ∞ .
-
Digital Competition Law Issues and Interrelated Aspects of Law
The legislative package comprising of the Digital Markets Act was adopted by the European Union along with the Digital Services Act in July 2022....
-
On the Strong Approximation for a Simple Reentrant Line in Light Traffic Under First-buffer First-served Service Discipline
For a 2-station and 3-class reentrant line under first-buffer first-served (FBFS) service discipline in light traffic, we firstly construct the...
-
The Role of “Concerted Administrative Law”
Alongside the aspects of the “crisis of the administrative law of authority” that we “brushed over” in the previous chapter, our purpose here is,...
-
Application of AI in the Rule of Law
The application of AI in the rule of law mentioned in this section sets June 2020 to June 2021 as the time span, and searches through official...
-
Quick Fix Solutions-Anticorruption as Core/Peripheral Modality of the ‘Rule of Law’
Anticorruption has become the fulcrum of conditionalities for unstable democracies. In the EU, antigraft packages formed the common denominator of...