Results 1 to 10 of about 24,288 (215)
Exchangeability---in which the distribution of an infinite sequence is invariant to reorderings of its elements---implies the existence of a simple conditional independence structure that may be leveraged in the design of probabilistic models, efficient ...
Broderick, Tamara +4 more
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Exchangeable choice functions [PDF]
We investigate how to model exchangeability with choice functions. Exchangeability is a structural assessment on a sequence of uncertain variables. We show how such assessments are a special indifference assessment, and how that leads to a counterpart of
de Cooman, Gert, Van Camp, Arthur
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Posterior Contraction Rates of the Phylogenetic Indian Buffet Processes [PDF]
By expressing prior distributions as general stochastic processes, nonparametric Bayesian methods provide a flexible way to incorporate prior knowledge and constrain the latent structure in statistical inference.
Chen, Mengjie, Gao, Chao, Zhao, Hongyu
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Integrated multiple mediation analysis: A robustness–specificity trade-off in causal structure [PDF]
Recent methodological developments in causal mediation analysis have addressed several issues regarding multiple mediators. However, these developed methods differ in their definitions of causal parameters, assumptions for identification, and ...
Albert JM +42 more
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Tractability through Exchangeability: A New Perspective on Efficient Probabilistic Inference [PDF]
Exchangeability is a central notion in statistics and probability theory. The assumption that an infinite sequence of data points is exchangeable is at the core of Bayesian statistics.
Broeck, Guy Van den, Niepert, Mathias
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On Exchangeability in Network Models [PDF]
We derive representation theorems for exchangeable distributions on finite and infinite graphs using elementary arguments based on geometric and graph-theoretic concepts.
Lauritzen, Steffen L. +2 more
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The Problem of Analogical Inference in Inductive Logic [PDF]
We consider one problem that was largely left open by Rudolf Carnap in his work on inductive logic, the problem of analogical inference. After discussing some previous attempts to solve this problem, we propose a new solution that is based on the ideas ...
Huttegger, Simon M.
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A connection between the Ghirlanda--Guerra identities and ultrametricity [PDF]
We consider a symmetric positive definite weakly exchangeable infinite random matrix and show that, under the technical condition that its elements take a finite number of values, the Ghirlanda--Guerra identities imply ultrametricity.Comment: Published ...
Panchenko, Dmitry
core +7 more sources
Exchangeability and the Law of Maturity
The law of maturity is the belief that less-observed events are becoming mature and, therefore, more likely to occur in the future. Previous studies have shown that the assumption of infinite exchangeability contradicts the law of maturity. In particular,
Bonassi, Fernando Vieira +3 more
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Exchangeable measures for subshifts [PDF]
Let $\Om$ be a Borel subset of $S^\Bbb N$ where $S$ is countable. A measure is called exchangeable on $\Om$, if it is supported on $\Om$ and is invariant under every Borel automorphism of $\Om$ which permutes at most finitely many coordinates. De-Finetti'
Aaronson, J., Nakada, H., Sarig, O.
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