There exists a vast literature about the di erentiabil ity of fuzzy valued mappings see for instance Dubois and Prade Puri and Ralescu Goetschel and Voxman or Kaleva One of the main problems in working with di erentials of fuzzy valued mappings is that the usual class of fuzzy sets of R does not con gure a vectorial space with respect to the sum and the product by a scalar induced by Zadeh s Ex...

We study stochastic teams (known also as decentralized control problems or identical interest dynamic games) with large countably infinite numbers of decision makers and characterize the existence structural properties (globally) optimal policies. consider both static nonconvex where cost function dynamics satisfy an exchangeability condition. To arrive at results for policies, we first introdu...

Researchers interests finding has been an active area of investigation for different recommendation tasks. Previous approaches for finding researchers interests exploit writing styles and links connectivity by considering time of documents, while semantics-based intrinsic structure of words is ignored. Consequently, a topic model named Author-Topic model is proposed, which exploits semantics-ba...

In this paper, we study asymptotic properties (large deviations and functional central limit theorem) of generalized record processes built on a triangular array of continuous and exchangeable random variables. As an application of these results, the links with the Kendall’s rank correlation statistic are studied and testing exchangeability is discussed.

This paper discusses concepts of independence and their relationship with convexity assumptions in the theory of sets of probability distributions. The paper offers an organized review of the literature and some new ideas (on regular conditional independence and exchangeability/“strong independence”). Finally, the connection between recent developments on the axiomatization of non-binary prefer...

We study a class of strongly irreducible, multidimensional, topological Markov shifts, comparing two notions of “symmetric measure”: exchangeability and the Gibbs (or conformal) property. We show that equilibrium measures for such shifts (unique and weak Bernoulli in the one dimensional case) exhibit a variety of spectral properties.

Skepticism about the assumption of no unmeasured confounding, also known as exchangeability, is often warranted in making causal inferences from observational data; because exchangeability hinges on an investigator’s ability to accurately measure covariates that capture all potential sources confounding. In practice, most one can hope for covariate measurements are at best proxies true underlyi...