The Experts below are selected from a list of 321 Experts worldwide ranked by ideXlab platform
Yılmaz Durǧun - One of the best experts on this subject based on the ideXlab platform.
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Weakly-$$\tau $$τ-Flat Modules
Bulletin of the Iranian Mathematical Society, 2020Co-Authors: Yılmaz DurǧunAbstract:In this paper, we introduce and study a torsion-theoretic Generalization of the weakly-flat module using the concept of $$\tau $$ τ -closed submodule for an idempotent radical $$\tau $$ τ . We introduce a new class of modules called weakly- $$\tau $$ τ -flat. We study these modules, generalizing several results both on extending modules and flat modules. We study Generalizations and characterizations of IF ring, (finitely) $$\varSigma $$ Σ -CS ring, and C -ring by weakly- $$\tau $$ τ -flat modules.
Yılmaz Durǧun - One of the best experts on this subject based on the ideXlab platform.
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Weakly- $$\tau $$ τ -Flat Modules
Bulletin of the Iranian Mathematical Society, 2020Co-Authors: Yılmaz DurǧunAbstract:In this paper, we introduce and study a torsion-theoretic Generalization of the weakly-flat module using the concept of $$\tau $$ τ -closed submodule for an idempotent radical $$\tau $$ τ . We introduce a new class of modules called weakly- $$\tau $$ τ -flat. We study these modules, generalizing several results both on extending modules and flat modules. We study Generalizations and characterizations of IF ring, (finitely) $$\varSigma $$ Σ -CS ring, and C -ring by weakly- $$\tau $$ τ -flat modules.
Andrew Vogt - One of the best experts on this subject based on the ideXlab platform.
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Means as Improper Integrals
Mathematics, 2019Co-Authors: John E. Gray, Andrew VogtAbstract:The aim of this work is to study Generalizations of the notion of the mean. Kolmogorov proposed a Generalization based on an improper integral with a decay rate for the tail probabilities. This weak or Kolmogorov mean relates to the weak law of large numbers in the same way that the ordinary mean relates to the strong law. We propose a further Generalization, also based on an improper integral, called the doubly-weak mean, applicable to heavy-tailed distributions such as the Cauchy distribution and the other symmetric stable distributions. We also consider Generalizations arising from Abel–Feynman-type mollifiers that damp the behavior at infinity and alternative formulations of the mean in terms of the cumulative distribution and the characteristic function.
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Means as Improper Integrals
2019Co-Authors: John E. Gray, Andrew VogtAbstract:The aim of this work is to study Generalizations of the notion of mean. Kolmogorov proposed a Generalization based on an improper integral with a decay rate for the tail probabilities. This weak or Kolmogorov mean relates to the Weak Law of Large Numbers in the same way that the ordinary mean relates to the Strong Law. We propose a further Generalization, also based on an improper integral, called the doubly weak mean, applicable to heavy-tailed distributions such as the Cauchy distribution and the other symmetric stable distributions, We also consider Generalizations arising from Abel-Feynman type mollifiers that damp the behavior at infinity and alternative formulations of the mean in terms of the cumulative distribution and the characteristic function.
Thomas L Griffiths - One of the best experts on this subject based on the ideXlab platform.
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a rational analysis of rule based concept learning
Cognitive Science, 2008Co-Authors: Noah D. Goodman, Jacob Feldman, Joshua B. Tenenbaum, Thomas L GriffithsAbstract:This article proposes a new model of human concept learning that provides a rational analysis of learning feature-based concepts. This model is built upon Bayesian inference for a grammatically structured hypothesis space—a concept language of logical rules. This article compares the model predictions to human Generalization judgments in several well-known category learning experiments, and finds good agreement for both average and individual participant Generalizations. This article further investigates judgments for a broad set of 7-feature concepts—a more natural setting in several ways—and again finds that the model explains human performance.
John E. Gray - One of the best experts on this subject based on the ideXlab platform.
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Means as Improper Integrals
Mathematics, 2019Co-Authors: John E. Gray, Andrew VogtAbstract:The aim of this work is to study Generalizations of the notion of the mean. Kolmogorov proposed a Generalization based on an improper integral with a decay rate for the tail probabilities. This weak or Kolmogorov mean relates to the weak law of large numbers in the same way that the ordinary mean relates to the strong law. We propose a further Generalization, also based on an improper integral, called the doubly-weak mean, applicable to heavy-tailed distributions such as the Cauchy distribution and the other symmetric stable distributions. We also consider Generalizations arising from Abel–Feynman-type mollifiers that damp the behavior at infinity and alternative formulations of the mean in terms of the cumulative distribution and the characteristic function.
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Means as Improper Integrals
2019Co-Authors: John E. Gray, Andrew VogtAbstract:The aim of this work is to study Generalizations of the notion of mean. Kolmogorov proposed a Generalization based on an improper integral with a decay rate for the tail probabilities. This weak or Kolmogorov mean relates to the Weak Law of Large Numbers in the same way that the ordinary mean relates to the Strong Law. We propose a further Generalization, also based on an improper integral, called the doubly weak mean, applicable to heavy-tailed distributions such as the Cauchy distribution and the other symmetric stable distributions, We also consider Generalizations arising from Abel-Feynman type mollifiers that damp the behavior at infinity and alternative formulations of the mean in terms of the cumulative distribution and the characteristic function.
