Zobrazeno 1 - 10
of 39
pro vyhledávání: '"Deb, Nabarun"'
We prove that the sequence of marginals obtained from the iterations of the Sinkhorn algorithm or the iterative proportional fitting procedure (IPFP) on joint densities, converges to an absolutely continuous curve on the $2$-Wasserstein space, as the
Externí odkaz:
http://arxiv.org/abs/2307.16421
In this paper, we study a class of multilinear Gibbs measures with Hamiltonian given by a generalized $\mathrm{U}$-statistic and with a general base measure. Expressing the asymptotic free energy as an optimization problem over a space of functions,
Externí odkaz:
http://arxiv.org/abs/2307.14600
In this paper we derive a Large Deviation Principle (LDP) for inhomogeneous U/V-statistics of a general order. Using this, we derive a LDP for two types of statistics: random multilinear forms, and number of monochromatic copies of a subgraph. We sho
Externí odkaz:
http://arxiv.org/abs/2212.03944
Autor:
Deb, Nabarun
Statistical hypothesis testing is one of the most powerful and interpretable tools for arriving at real-world conclusions from empirical observations. The classical set-up for testing goes as follows: the practitioner is given a sequence of 𝑛 inde
Mean-based estimators of the causal effect in a completely randomized experiment may behave poorly if the potential outcomes have a heavy-tail, or contain outliers. We study an alternative estimator by Rosenbaum that estimates the constant additive t
Externí odkaz:
http://arxiv.org/abs/2111.15524
Optimal transport maps between two probability distributions $\mu$ and $\nu$ on $\mathbb{R}^d$ have found extensive applications in both machine learning and statistics. In practice, these maps need to be estimated from data sampled according to $\mu
Externí odkaz:
http://arxiv.org/abs/2107.01718
Recently, Chatterjee (2021) introduced a new rank-based correlation coefficient which can be used to measure the strength of dependence between two random variables. This coefficient has already attracted much attention as it converges to the Dette-S
Externí odkaz:
http://arxiv.org/abs/2104.15140
Distribution-free tests such as the Wilcoxon rank sum test are popular for testing the equality of two univariate distributions. Among the important reasons for their popularity are the striking results of Hodges-Lehmann (1956) and Chernoff-Savage (1
Externí odkaz:
http://arxiv.org/abs/2104.01986
Publikováno v:
Journal of Machine Learning Research 23 (216), 1-58 (2022)
In this paper we propose and study a class of simple, nonparametric, yet interpretable measures of conditional dependence between two random variables $Y$ and $Z$ given a third variable $X$, all taking values in general topological spaces. The popula
Externí odkaz:
http://arxiv.org/abs/2012.14804
In this paper, we study the effect of dependence on detecting a class of signals in Ising models, where the signals are present in a structured way. Examples include Ising Models on lattices, and Mean-Field type Ising Models (Erd\H{o}s-R\'{e}nyi, Ran
Externí odkaz:
http://arxiv.org/abs/2012.05784