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Topological Methods for Studying Contextuality: N-Cycle Scenarios and Beyond [PDF]
Simplicial distributions are combinatorial models describing distributions on spaces of measurements and outcomes that generalize nonsignaling distributions on contextuality scenarios.
Aziz Kharoof, Selman Ipek, Cihan Okay
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Combinatorial Inequalities and Subspaces of L1
Let M and N be Orlicz functions. We establish some combinatorial inequalities and show that the product spaces l^n_M(l^n_N) are uniformly isomorphic to subspaces of L_1 if M and N are "separated" by a function t^r ...
Prochno, Joscha, Schuett, Carsten
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A Combinatorial Proof of Fisher’s Inequality [PDF]
3 ...
Mathew, Rogers, Mishra, Tapas Kumar
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Combinatorial Prophet Inequalities [PDF]
We introduce a novel framework of Prophet Inequalities for combinatorial valuation functions. For a (non-monotone) submodular objective function over an arbitrary matroid feasibility constraint, we give an $O(1)$-competitive algorithm. For a monotone subadditive objective function over an arbitrary downward-closed feasibility constraint, we give an $O(\
Rubinstein, Aviad, Singla, Sahil
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Bucshbaum simplicial posets [PDF]
The family of Buchsbaum simplicial posets generalizes the family of simplicial cell manifolds. The $h'-$vector of a simplicial complex or simplicial poset encodes the combinatorial and topological data of its face numbers and the reduced Betti numbers of
Jonathan Browder, Steven Klee
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Combinatorial anti-concentration inequalities, with applications [PDF]
AbstractWe prove several different anti-concentration inequalities for functions of independent Bernoulli-distributed random variables. First, motivated by a conjecture of Alon, Hefetz, Krivelevich and Tyomkyn, we prove some “Poisson-type” anti-concentration theorems that give bounds of the form 1/e+o(1) for the point probabilities of certain ...
Fox, Jacob +2 more
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Grothendieck‐Type Inequalities in Combinatorial Optimization [PDF]
AbstractWe survey connections of the Grothendieck inequality and its variants to combinatorial optimization and computational complexity. © 2011 Wiley Periodicals, Inc.
Khot, Subhash, Naor, Assaf
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Mathematical modeling of the emergent dynamics of gene regulatory networks (GRN) faces a double challenge of (a) dependence of model dynamics on parameters, and (b) lack of reliable experimentally determined parameters.
Kishore Hari +5 more
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Exponential extrapolation memory for tabu search
Tabu search is a well-established metaheuristic framework for solving hard combinatorial optimization problems. At its core, the method uses different forms of memory to guide a local search through the solution space so as to identify high-quality local
Håkon Bentsen +2 more
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Measuring Accessibility to Medical Centers in Isfahan City Using 2SFCA Method [PDF]
One of the most important challenges facing policymakers and urban planners in recent decades is the issue of accessibility to a variety of urban services. The main purpose of this study was thecalculation of the accessibility of census blocks to medical
Ansar Gholami +3 more
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