Results 11 to 20 of about 19,400,250 (311)

Scaling-invariant Functions versus Positively Homogeneous Functions [PDF]

open access: yesJournal of Optimization Theory and Applications, 2021
Scaling-invariant functions preserve the order of points when the points are scaled by the same positive scalar (with respect to a unique reference point). Composites of strictly monotonic functions with positively homogeneous functions are scaling-invariant with respect to zero.
Touré, Cheikh   +3 more
openaire   +5 more sources

The W, Z scale functions kit for first passage problems of spectrally negative Lévy processes, and applications to control problems [PDF]

open access: yesE S A I M: Probability & Statistics, 2017
In the last years there appeared a great variety of identities for first passage problems of spectrally negative Lévy processes, which can all be expressed in terms of two “q-harmonic functions” (or scale functions) W and Z.
F. Avram, D. Grahovac, Ceren Vardar-Acar
semanticscholar   +1 more source

Studying Large Language Model Generalization with Influence Functions [PDF]

open access: yesarXiv.org, 2023
When trying to gain better visibility into a machine learning model in order to understand and mitigate the associated risks, a potentially valuable source of evidence is: which training examples most contribute to a given behavior?
R. Grosse   +16 more
semanticscholar   +1 more source

Scaled Density Functional Theory Correlation Functionals [PDF]

open access: yesThe Journal of Physical Chemistry A, 2007
We show that a simple one-parameter scaling of the dynamical correlation energy estimated by the density functional theory (DFT) correlation functionals helps increase the overall accuracy for several local and nonlocal functionals. The approach taken here has been described as the "scaled dynamical correlation" (SDC) method [Ramachandran, J.
Mohammed M, Ghouri   +2 more
openaire   +2 more sources

Scale-Free Brain Functional Networks [PDF]

open access: yesPhysical Review Letters, 2005
4 pages, 5 figures, 2 ...
Eguíluz, Víctor M.   +4 more
openaire   +4 more sources

Generalized scale functions of standard processes with no positive jumps [PDF]

open access: yes, 2017
As a generalization of scale functions of spectrally negative L\'evy processes, we define scale functions of general standard processes with no positive jumps. For this purpose, we utilize excursion measures.
Kei Noba
semanticscholar   +1 more source

Markov chain approximations to scale functions of Lévy processes [PDF]

open access: yes, 2013
We introduce a general algorithm for the computation of the scale functions of a spectrally negative Levy process X, based on a natural weak approximation of X via upwards skip-free continuous-time Markov chains with stationary independent increments ...
Aleksandar Mijatovi'c   +2 more
semanticscholar   +1 more source

Scales of functions [PDF]

open access: yesJournal of the Australian Mathematical Society, 1960
We consider real-valued functions ƒ(x) which are defined for all sufficiently large real numbers x. In discussing the behaviour of such functions as x → + ∞, it is useful to compare ƒ with the functions of some “comparison scale”. The early work in this field was due to Du Bois-Reymond (see, for example, (2), (3)).
Erdős, Pál   +2 more
openaire   +2 more sources

The Theory of Scale Functions for Spectrally Negative Lévy Processes [PDF]

open access: yes, 2011
The purpose of this review article is to give an up to date account of the theory and applications of scale functions for spectrally negative Levy processes.
A. Kuznetsov, A. Kyprianou, V. Rivero
semanticscholar   +1 more source

Optimal Bail-Out Dividend Problem with Transaction Cost and Capital Injection Constraint

open access: yesRisks, 2019
We consider the optimal bail-out dividend problem with fixed transaction cost for a Lévy risk model with a constraint on the expected present value of injected capital.
Mauricio Junca   +2 more
doaj   +1 more source

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