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On Abelian Secret Sharing: duality and separation
Access structure Duality Characteristic-dependent information ratio
2019/5/29
Unlike linear secret sharing, very little is known about abelian secret sharing. In this paper, we present two results on abelian secret sharing. First, we show that the information ratio of access st...
Experimental Observation of Entanglement Duality for Identical Particles
entanglement duality quantum indistinguishability quantum mechanics
2016/1/22
It was shown recently that entanglement of identical particles has a feature called dualism (Bose and Home 2013 Phys. Rev. Lett. 110 140404), which is funda-mentally connected with quantum indistingui...
Duality in ABE: Converting Attribute Based Encryption for Dual Predicate and Dual Policy via Computational Encodings
Attribute-based encryption Dual scheme conversion Key-policy
2016/1/4
We show a generic conversion that converts an attribute based encryption (ABE)
scheme for arbitrary predicate into an ABE scheme for its dual predicate. In particular, it
can convert key-policy ABE ...
Duality for Nonlinear Simply Laced Groups
Local Langlands Conjecture nonlinear groups Kazhdan-Lusztig theory
2015/9/28
We establish a character multiplicity duality for a certain natural class of nonlinear (nonalgebraic) groups arising as two-fold covers of simply laced real reductive algebraic groups. This allows us ...
Finding an optimal mechanism in a standard adverse selection model is equivalent to solving an infinite dimensional linear program. We begin with certain feasible mechanisms— those implemented by auct...
Some duality conjectures for finite graphs and their group theoretic consequences
finite graphs group theoretic consequences
2015/8/26
We pose some graph theoretic conjectures about duality and the diameter of maximal trees in planar graphs, and we describe innovations in the following two topics in Geometric Group Theory, where the ...
A dinner table seats k guests and holds n discrete morsels of food. Guests select morsels in turn until all are consumed. Each guest has a ranking of the morsels according to how much he would enjoy e...
A duality view of spectral methods for dimensionality reduction
Duality spectrum the nonlinear dimension reduction locally linear embedding Laplacian sparse matrix
2015/8/10
We present a unified duality view of several recently emerged spectral methods for nonlinear dimensionality reduction, including Isomap, locally linear embedding, Laplacian eigenmaps, and maximum vari...
Bounding duality gap for problems with separable objective
Convex function linear inequalities functions random algorithm terms
2015/8/7
We consider the problem of minimizing a sum of non-convex functions over a compact domain, subject to linear inequality and equality constraints. We consider approximate solutions obtained by solving ...
A strong stationary time for a Markov chain (X,) is a stopping time T
for which XT is stationary and independent of T. Such times yield sharp
bounds on certain measures of nonstationarity for X at...
Bounding Duality Gap for Problems with Separable Objective
Bounding Duality Gap Problems Separable Objective
2015/7/9
We consider the problem of minimizing a sum of non-convex functions over a compact domain, subject to linear inequality and equality constraints. We consider approximate solutions obtained by solving ...
Exploring the Duality between Product and Organizational Architectures: A Test of the Mirroring Hypothesis
Open Source Distribution Product Design Organizational Design
2015/4/22
A variety of academic studies argue that a relationship exists between the structure of an organization and the design of the products that this organization produces. Specifically, products tend to "...
Koszul duality of operads and homology of partition posets
Koszul duality operads homology partition posets
2015/3/25
We consider partitions of a set with r elements ordered by refinement. We consider the simplicial complex Kˉ(r) formed by chains of partitions which starts at the smallest element and ends at the larg...
Koszul duality for Operads
Koszul duality Operads
2015/3/25
This is a copy of the article by the same authors published in Duke Math. J. (1994).
A Koszul duality for props
Koszul duality props
2015/3/25
The notion of prop models the operations with multiple inputs and multiple outpus, acting on some algebraic structures like the bialgebras or the Lie bialgebras. In this paper, we generalize the Koszu...