A parametrix for quantum gravity?
In the sixties, DeWitt discovered that the advanced and retarded Green functions of the wave operator on metric perturbations in the de Donder gauge make it possible to define classical Poisson brackets on the space of functionals that are invariant ...
Esposito, Giampiero
core +1 more source
Blow Up for the Semilinear Wave Equation in Schwarzschild Metric
We study the semilinear wave equation in Schwarzschild metric (3+1 dimensional space--time). First, we establish that the problem is locally well--posed in $\cs H^\sigma$ for any $\sigma \geq 1$; then we prove the blow up of the solution for every real ...
Catania, Davide, Georgiev, Vladimir
core +1 more source
Comonotonic Book-Making with Nonadditive Probabilities [PDF]
This paper shows how de Finetti's book-making principle, commonly used to justify additive subjective probabilities, can be modi-ed to agree with some nonexpected utility models.More precisely, a new foundation of the rank-dependent models is presented ...
Diecidue, E., Wakker, P.P.
core +1 more source
Two laws of large numbers for sublinear expectations
In this paper, we consider the sublinear expectation on bounded random vari- ables. With the notion of uncorrelatedness for random variables under the sublinear expectation, a weak law of large numbers is obtained.
Sun, Chuanfeng
core
New horizon in fuzzy distributions: statistical distributions in continuous domains generated by Choquet integral. [PDF]
Mehri-Dehnavi H, Agahi H, Mesiar R.
europepmc +1 more source
Interactive multi-criteria group decision-making with probabilistic linguistic information for emergency assistance of COVID-19. [PDF]
Wan SP, Huang Cheng WB, Dong JY.
europepmc +1 more source
Ensemble of Deep Learning Models for Sleep Apnea Detection: An Experimental Study. [PDF]
Mukherjee D +3 more
europepmc +1 more source
Risk measurement with the equivalent utility principles. [PDF]
Risk measures have been studied for several decades in the actuarial literature, where they appeared under the guise of premium calculation principles. Risk measures and properties that risk measures should satisfy have recently received considerable at-
Denuit, M +4 more
core
Learning nonlinear monotone classifiers using the Choquet Integral
The learning of predictive models that guarantee a monotonic relationship between the output (response) and input (predictor) variables has received increasing attention in machine learning in recent years. While being less problematic for linear models, the difficulty of ensuring monotonicity increases with the ...
openaire +2 more sources
Comparative Population Transcriptomics Provide New Insight into the Evolutionary History and Adaptive Potential of World Ocean Krill. [PDF]
Choquet M +6 more
europepmc +1 more source

