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Triangular systems for symmetric binary variables
- Electr. J. Statist
, 2009
"... Abstract We introduce and study distributions of sets of binary variables that are sym-metric, that is each has equally probable levels. The joint distribution of these special types of binary variables, if generated by a recursive process of linear main effects is essentially parametrized in terms ..."
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Cited by 10 (8 self)
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Abstract We introduce and study distributions of sets of binary variables that are sym-metric, that is each has equally probable levels. The joint distribution of these special types of binary variables, if generated by a recursive process of linear main effects is essentially parametrized in terms
Overlapping Clustering of Binary Variables
"... The process that groups similar objects together and forms clusters is often called segmentation or clustering. Clustered groups are homogeneous within and desirably heterogeneous in between. The rationale of intra-group homogeneity is that objects with ..."
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The process that groups similar objects together and forms clusters is often called segmentation or clustering. Clustered groups are homogeneous within and desirably heterogeneous in between. The rationale of intra-group homogeneity is that objects with
What energy functions can be minimized via graph cuts?
- IEEE TRANSACTIONS ON PATTERN ANALYSIS AND MACHINE INTELLIGENCE
, 2004
"... In the last few years, several new algorithms based on graph cuts have been developed to solve energy minimization problems in computer vision. Each of these techniques constructs a graph such that the minimum cut on the graph also minimizes the energy. Yet, because these graph constructions are co ..."
Abstract
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Cited by 1047 (23 self)
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are complex and highly specific to a particular energy function, graph cuts have seen limited application to date. In this paper, we give a characterization of the energy functions that can be minimized by graph cuts. Our results are restricted to functions of binary variables. However, our work generalizes
Almost Robust Optimization with Binary Variables
"... The main goal of this paper is to develop a simple and tractable methodology (both theoretical and computational) for incorporating data uncertainty into optimization problems in general and into discrete (binary decision variables) optimization problems in particular. We present the Almost Robust O ..."
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The main goal of this paper is to develop a simple and tractable methodology (both theoretical and computational) for incorporating data uncertainty into optimization problems in general and into discrete (binary decision variables) optimization problems in particular. We present the Almost Robust
Market Equilibrium Models with Continuous and Binary Variables by
, 2008
"... Social welfare maximizing equilibrium models with continuous and binary variables usually have no solutions if prices are related only to the continuous variable commodities. Previous re-search has shown that introduction of prices related to the binary variables, a type of multipart pricing, can pr ..."
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Cited by 1 (0 self)
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Social welfare maximizing equilibrium models with continuous and binary variables usually have no solutions if prices are related only to the continuous variable commodities. Previous re-search has shown that introduction of prices related to the binary variables, a type of multipart pricing, can
Approximate Algorithms for Credal Networks with Binary Variables
, 2007
"... This paper presents a family of algorithms for approximate inference in credal net-works (that is, models based on directed acyclic graphs and set-valued probabilities) that contain only binary variables. Such networks can represent incomplete or vague beliefs, lack of data, and disagreements among ..."
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Cited by 8 (1 self)
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This paper presents a family of algorithms for approximate inference in credal net-works (that is, models based on directed acyclic graphs and set-valued probabilities) that contain only binary variables. Such networks can represent incomplete or vague beliefs, lack of data, and disagreements among
The Longest Run Statistic Associated with Exchangeable Binary Variables
"... Since the hydrologic risk is dened as a risk of exceedance of a critical level during a period, the number of the longest successive exceedances which is referred to as the longest run statistic shows the length of the longest hydrologic risk period. This paper is concerned with the longest run stat ..."
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statistic associated with exceedances. In the derivation of a binary sequence, an independent sequence of random variables and a random threshold are considered. The elements of a binary sequence are assigned with respect to a random threshold. In such a consideration, the elements of the corresponding
Valid Inequalities for the Pooling Problem with Binary Variables
, 2010
"... The pooling problem consists of finding the optimal quantity of final products to obtain by blending different compositions of raw materials in pools. Bilinear terms are required to model the quality of products in the pools, making the pooling problem a non-convex continuous optimization problem. I ..."
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Cited by 3 (1 self)
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. In this paper we study a generalization of the standard pooling problem where binary variables are used to model fixed costs associated with using a raw material in a pool. We derive four classes of strong valid inequalities for the problem and demonstrate that the inequalities dominate classic flow cover
A Survey Design for a Sensitive Binary Variable Correlated with Another Nonsensitive Binary Variable
"... Tian et al. (2007) introduced a so-called hidden sensitivity model for evaluating the association of two sensitive questions with binary outcomes. However, in practice, we sometimes need to assess the association between one sensitive binary variable (e.g., whether or not a drug user, the number of ..."
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Tian et al. (2007) introduced a so-called hidden sensitivity model for evaluating the association of two sensitive questions with binary outcomes. However, in practice, we sometimes need to assess the association between one sensitive binary variable (e.g., whether or not a drug user, the number
Results 1 - 10
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