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Universality of the mean-field for the Potts model
We consider the Potts model with q colors on a sequence of weighted graphs with adjacency matrices $$A_n$$An, allowing for both positive and negative weights. Under a mild regularity condition onExpand
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Estimation in exponential families on permutations
Asymptotics of the normalizing constant is computed for a class of one parameter exponential families on permutations which includes Mallows model with Spearmans's Footrule and Spearman's RankExpand
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No zero-crossings for random polynomials and the heat equation
Consider random polynomial ∑ni=0aixi of independent mean-zero normal coefficients ai, whose variance is a regularly varying function (in i) of order α. We derive general criteria for continuity ofExpand
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Exact and asymptotic results on coarse Ricci curvature of graphs
TLDR
We study Ollivier's coarse Ricci curvature for graphs and obtain exact formulas for the Ricci-curvature for bipartite graphs and for the graphs with girth at least 5. Expand
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Inference in Ising Models
The Ising spin glass is a one-parameter exponential family model for binary data with quadratic sufficient statistic. In this paper, we show that given a single realization from this model, theExpand
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Joint estimation of parameters in Ising model
We study joint estimation of the inverse temperature and magnetization parameters $(\beta,B)$ of an Ising model with a non-negative coupling matrix $A_n$ of size $n\times n$, given one sample fromExpand
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Estimation of parameters in non uniform models on permutations
Using large deviation results for a uniformly random permutation in $S_n$, asymptotics of normalizing constants are computed and limits of permutations obtained for some non uniform distributions onExpand
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Scaling single cell transcriptomics through split pool barcoding
Constructing an atlas of cell types in complex organisms will require a collective effort to characterize billions of individual cells. Single cell RNA sequencing (scRNA-seq) has emerged as the mainExpand
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Large deviation for the empirical degree distribution of an Erdos-Renyi graph
With $(d_1,\cdots,d_n)$ denoting the labeled degrees of an Erdos Renyi graph with parameter $\beta/n$, the large deviation principle for $\frac{1}{n}\sum\limits_{j=1}^n\delta_{d_j}$ (the empiricalExpand
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DEGREE SEQUENCE OF RANDOM PERMUTATION GRAPHS
In this paper we study the degree sequence of the permutation graph $G_{\pi_n}$ associated with a sequence $\pi_n\in S_n$ of random permutations. Joint limiting distributions of the degrees areExpand
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