Search Results for author: Fang Han

Found 15 papers, 3 papers with code

Limit theorems of Chatterjee's rank correlation

1 code implementation17 Apr 2022 Zhexiao Lin, Fang Han

Establishing the limiting distribution of Chatterjee's rank correlation for a general, possibly non-independent, pair of random variables has been eagerly awaited to many.

Nonparametric mixture MLEs under Gaussian-smoothed optimal transport distance

no code implementations4 Dec 2021 Fang Han, Zhen Miao, Yandi Shen

The Gaussian-smoothed optimal transport (GOT) framework, pioneered in Goldfeld et al. (2020) and followed up by a series of subsequent papers, has quickly caught attention among researchers in statistics, machine learning, information theory, and related fields.

Fisher-Pitman permutation tests based on nonparametric Poisson mixtures with application to single cell genomics

no code implementations6 Jun 2021 Zhen Miao, Weihao Kong, Ramya Korlakai Vinayak, Wei Sun, Fang Han

This paper investigates the theoretical and empirical performance of Fisher-Pitman-type permutation tests for assessing the equality of unknown Poisson mixture distributions.

An Extreme-Value Approach for Testing the Equality of Large U-Statistic Based Correlation Matrices

no code implementations11 Feb 2015 Cheng Zhou, Fang Han, Xinsheng Zhang, Han Liu

Theoretically, we develop a theory for testing the equality of U-statistic based correlation matrices.

valid

High Dimensional Semiparametric Scale-Invariant Principal Component Analysis

no code implementations18 Feb 2014 Fang Han, Han Liu

We propose a new high dimensional semiparametric principal component analysis (PCA) method, named Copula Component Analysis (COCA).

feature selection Vocal Bursts Intensity Prediction

Joint Estimation of Multiple Graphical Models from High Dimensional Time Series

no code implementations1 Nov 2013 Huitong Qiu, Fang Han, Han Liu, Brian Caffo

In this manuscript we consider the problem of jointly estimating multiple graphical models in high dimensions.

Time Series Time Series Analysis +1

ECA: High Dimensional Elliptical Component Analysis in non-Gaussian Distributions

no code implementations14 Oct 2013 Fang Han, Han Liu

In the non-sparse setting, we show that ECA's performance is highly related to the effective rank of the covariance matrix.

Vocal Bursts Intensity Prediction

Challenges of Big Data Analysis

no code implementations7 Aug 2013 Jianqing Fan, Fang Han, Han Liu

Big Data bring new opportunities to modern society and challenges to data scientists.

A Direct Estimation of High Dimensional Stationary Vector Autoregressions

no code implementations1 Jul 2013 Fang Han, Huanran Lu, Han Liu

In addition, we provide thorough experiments on both synthetic and real-world equity data to show that there are empirical advantages of our method over the lasso-type estimators in both parameter estimation and forecasting.

Time Series Time Series Analysis +1

Sparse Principal Component Analysis for High Dimensional Vector Autoregressive Models

no code implementations30 Jun 2013 Zhaoran Wang, Fang Han, Han Liu

We study sparse principal component analysis for high dimensional vector autoregressive time series under a doubly asymptotic framework, which allows the dimension $d$ to scale with the series length $T$.

Time Series Time Series Analysis +1

Statistical analysis of latent generalized correlation matrix estimation in transelliptical distribution

no code implementations29 May 2013 Fang Han, Han Liu

The current state-of-the-art in estimating large correlation matrices focuses on the use of Pearson's sample correlation matrix.

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