Maximum Entropy Distributions with Applications to Graph Simulation
References
- (2018) Efficient simulation for expectations over the union of half-spaces. ACM Trans. Modeling Comput. Simululation 28(3):23.Crossref, Google Scholar
- (1994) Realizability and uniqueness in graphs. Discrete Math. 136(1):3–20.Crossref, Google Scholar
- (2018) The missing links: A global study on uncovering financial network structures from partial data. J. Financial Stability 35:107–119.Crossref, Google Scholar
- (2000) Weighted Monte Carlo: A new technique for calibrating asset-pricing models. Spigler R, ed. Applied and Industrial Mathematics, Venice—2 (Springer, Berlin), 1–31.Crossref, Google Scholar
- (2010) On the number of matrices and a random matrix with prescribed row and column sums and 0–1 entries. Adv. Math. 224(1):316–339.Crossref, Google Scholar
- (1997) Introduction to Linear Optimization (Athena Scientific, Belmont, MA).Google Scholar
- (2009) Entropy of network ensembles. Phys. Rev. E 79(3):036114.Crossref, Google Scholar
- (2009) Efficient importance sampling for binary contingency tables. Ann. Appl. Probability 19(3):949–982.Crossref, Google Scholar
- (2011) A sequential importance sampling algorithm for generating random graphs with prescribed degrees. Internet Math. 6(4):489–522.Crossref, Google Scholar
- (2006) Generating simple random graphs with prescribed degree distribution. J. Statist. Phys. 124:1377–1397.Crossref, Google Scholar
- (1986) Fundamentals of statistical exponential families with applications in statistical decision theory. Lecture Notes-Monograph Series (Institute of Mathematical Statistics, Hayward, CA), 9:i–279.Google Scholar
- (2017) Sufficient conditions for graphicality of bidegree sequences. SIAM J. Discrete Math. 31(1):50–62.Crossref, Google Scholar
- (2018) The sample size required in importance sampling. Ann. Appl. Probability 28(2):1099–1135.Crossref, Google Scholar
- (2013) Directed random graphs with given degree distributions. Stochastic Systems 3(1):147–186.Link, Google Scholar
- (2005) Sequential Monte Carlo methods for statistical analysis of tables. J. Amer. Statist. Assoc. 100(469):109–120.Crossref, Google Scholar
- (2006) Elements of Information Theory, 2nd ed. (John Wiley & Sons, Hoboken, NJ).Google Scholar
- (1975) I-divergence geometry of probability distributions and minimization problems. Ann. Probability 3(1):146–158.Crossref, Google Scholar
- (2001) Convex cores of measures on R d. Studia Sci. Math. Hungary 38(1–4):177–190.Google Scholar
- (2007) Interbank exposures: An empirical examination of contagion risk in the Belgian banking system. Internat. J. Central Bank 3(2):123–171.Google Scholar
- (2010) Gibbs measures and phase transitions on sparse random graphs. Brazilian J. Probability Statist. 24(2):137–211.Crossref, Google Scholar
- (2012) Statistical inference for valued-edge networks: The generalized exponential random graph model. PLoS One 7(1):1–12.Crossref, Google Scholar
- (1996) Monte Carlo (Springer Science & Business Media, New York).Crossref, Google Scholar
- (2018) Configuring random graph models with fixed degree sequences. SIAM Rev. 60(2):315–355.Crossref, Google Scholar
- (2016) A Bayesian methodology for systemic risk assessment in financial networks. Management Sci. 63(12):4428–4446.Link, Google Scholar
- (2008) Maximum likelihood: Extracting unbiased information from complex networks. Phys. Rev. 78(1):015101.Google Scholar
- (2013) Asymptotics for constrained Dirichlet distributions. Bayesian Anal. 8(1):89–110.Crossref, Google Scholar
- (2018) Simulation of bipartite or directed graphs with prescribed degree sequences using maximum entropy probabilities. Proc. Winter Simulation Conf. (IEEE, Piscataway, NJ), 1658–1669.Google Scholar
- (2016) Contagion in financial networks. J. Econom. Literature 54(3):779–831.Crossref, Google Scholar
- (2005) Large sample properties of weighted Monte Carlo estimators. Oper. Res. 53(2):298–312.Link, Google Scholar
- (2009) Random dense bipartite graphs and directed graphs with specified degrees. Random Structures Algorithms 35(2):222–249.Crossref, Google Scholar
- (2017) Representation learning on graphs: Methods and applications. Bulletin of the Committee on Data Engineering (IEEE Computer Society, Washington, DC), 40(3):52–74.Google Scholar
- (1981) An exponential family of probability distributions for directed graphs. J. Amer. Statist. Assoc. 76(373):33–50.Crossref, Google Scholar
- (1973) Algorithms for constructing graphs and digraphs with given valences and factors. Discrete Math. 6(1):79–88.Crossref, Google Scholar
- (1983) Integer programming with a fixed number of variables. Math. OR 8(4):538–548.Link, Google Scholar
- (2015) Distribution grid topology reconstruction: An information theoretic approach. Proc. North American Power Sympos. (IEEE, Piscataway, NJ), 1–6.Google Scholar
- (1998) Combinatorial Optimization: Algorithms and Complexity (Dover Publications, Mineola, NY).Google Scholar
- (2004) Statistical mechanics of networks. Phys. Rev. E 70(6):066117.Crossref, Google Scholar
- (1981) Algorithm AS 159: An efficient method of generating random R × C tables with given row and column totals. J. Royal Statist. Soc. Ser. C Appl. Statist. 30(1):91–97.Google Scholar
- (2007) Recent developments in exponential random graph (p*) models for social networks. Soc. Networks 29(2):192–215.Crossref, Google Scholar
- (2013) The Cross-Entropy Method: A Unified Approach to Combinatorial Optimization, Monte-Carlo Simulation, and Machine Learning (Springer Science & Business Media, New York).Google Scholar
- (2015) Randomizing bipartite networks: The case of the World Trade Web. Sci. Rep. 5:10595.Crossref, Google Scholar
- (2011) Analytical maximum-likelihood method to detect patterns in real networks. New J. Phys. 13(8):083001.Crossref, Google Scholar
- (2017) Maximum-Entropy Networks: Pattern Detection, Network Reconstruction and Graph Combinatorics (Springer, Berlin).Crossref, Google Scholar
- (2006) A Hilbert space approach to variance reduction. Handbook Oper. Res. Management Sci. 13:259–289.Google Scholar
- (2004) Estimating bilateral exposures in the German interbank market: Is there a danger of contagion? Eur. Econom. Rev. 48(4):827–849.Crossref, Google Scholar
- (2020) A fast MCMC algorithm for the uniform sampling of binary matrices with fixed margins. Electron. J. Statist. 14(1):1690–1706.Crossref, Google Scholar
- (1999) Models of random regular graphs. London Mathematical Society Lecture Note Series, vol. 267 (Cambridge University Press, Cambridge, UK), 239–298.Crossref, Google Scholar

