Results 51 to 60 of about 9,377,044 (73)
Sumsets as unions of sumsets of subsets
, 2017 Sumsets as unions of sumsets of subsets, Discrete Analysis 2017:14, 5 pp. In May 2016 there was a remarkable development in additive combinatorics. First, Croot, Lev and Pach managed to use the so-called polynomial method to obtain an exponentially ...
Jordan S. Ellenberg, Jordan S Ellenberg
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Additive Structure of Sparse-Digit Fractal Sets: Sumsets, Difference Sets, and Dimension Jumps
We study the additive and fractal structure of digit-restricted subsets of the unit interval where AD=∑n=1∞anb−n:an∈D⊆{0,…,b−1},|D|≥2, defined by allowing only digits from D in base-b expansions.
Sidney A. Morris
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Recognizing Sumsets is NP-Complete
Sumsets are central objects in additive combinatorics. In 2007, Granville asked whether one can efficiently recognize whether a given set $S$ is a sumset, i.e. whether there is a set $A$ such that $A+A=S$.
Fischer, Nick +3 more
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Nonparametric estimation of an additive model with a link function [PDF]
This paper describes an estimator of the additive components of a nonparametric additive model with a known link function. When the additive components are twice continuously differentiable, the estimator is asymptotically normally distributed with a ...
Enno Mammen, Joel Horowitz
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Efficient Estimation of an Additive Quantile Regression Model [PDF]
In this paper two kernel-based nonparametric estimators are proposed for estimating the components of an additive quantile regression model. The first estimator is a computationally convenient approach which can be viewed as a viable alternative to the ...
Zerom, Dawit +2 more
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Dominance of capacities by k-additive belief functions [PDF]
In this paper we deal with the set of $k$-additive belieffunctions dominating a given capacity. We follow the lineintroduced by Chateauneuf and Jaffray for dominating probabilities and continued by Grabisch for general $k$-additive measures.First, we ...
Michel Grabisch +2 more
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Updating Non-Additive Probabilities -- A Geometric Approach [PDF]
A geometric approach, analogous to the approach used in the additive case, is proposed to determine the conditional expectation with non- additive probabilities.
Ehud Lehrer
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Planar additive bases for rectangles
, 2018 We study a generalization of additive bases into a planar setting. A planar additive basis is a set of non-negative integer pairs whose vector sumset covers a given rectangle.
Kohonen, Jukka +2 more
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Singular higher order vector bases for wedge-structure MoM-models: The simple recipe [PDF]
, 2009 GRAGLIA, Roberto +4 more
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Purely finitely additive measures are non-constructible objects [PDF]
The existence of a purely finitely additive measure cannot be proved in Zermelo-Frankel set theory if the use of the Axiom of Choice is disallowed.Finitely additive probabilities; Charges; Axiom of choice; Constructivism.
Luc LAUWERS
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