output
20102024
most citedSpectral Methods for Learning Multivariate Latent Tree Structure

41 citations

18 papers

cs.LG2024★ 5 cited

Tackling Copyright Issues in AI Image Generation Through Originality Estimation and Genericization

Hiroaki Chiba-Okabe, Weijie J. Su

The rapid progress of generative AI technology has sparked significant copyright concerns, leading to numerous lawsuits filed against AI developers. Notably, generative AI's capaci…

stat.ME2019

A Test for Differential Ascertainment in Case-Control Studies with Application to Child Maltreatment

Matteo Sordello, Dylan S. Small

We propose a method to test for the presence of differential ascertainment in case-control studies, when data are collected by multiple sources. We show that, when differential asc…

math.ST2018★ 16 cited

Distributed linear regression by averaging

Edgar Dobriban, Yue Sheng

Distributed statistical learning problems arise commonly when dealing with large datasets. In this setup, datasets are partitioned over machines, which compute locally, and communi…

math.PR2018★ 3 cited

Capacity lower bound for the Ising perceptron

Jian Ding, Nike Sun

We consider the Ising perceptron with gaussian disorder, which is equivalent to the discrete cube intersected by random half-spaces. The perceptron's capacity is…

stat.ME2018

A general approach to detect gene (G)-environment (E) additive interaction leveraging G-E independence in case-control studies

Eric J. Tchetgen Tchetgen, Xu Shi, Tamar Sofer +1

It is increasingly of interest in statistical genetics to test for the presence of a mechanistic interaction between genetic (G) and environmental (E) risk factors by testing for t…

stat.ME2018★ 11 cited

Multiply Robust Causal Inference with Double Negative Control Adjustment for Categorical Unmeasured Confounding

Xu Shi, Wang Miao, Jennifer C. Nelson +1

Unmeasured confounding is a threat to causal inference in observational studies. In recent years, use of negative controls to mitigate unmeasured confounding has gained increasing…

math.ST2017

Weighted Message Passing and Minimum Energy Flow for Heterogeneous Stochastic Block Models with Side Information

T. Tony Cai, Tengyuan Liang, Alexander Rakhlin

We study the misclassification error for community detection in general heterogeneous stochastic block models (SBM) with noisy or partial label information. We establish a connecti…

math.ST2017★ 10 cited

Two-sample instrumental variable analyses using heterogeneous samples

Qingyuan Zhao, Jingshu Wang, Jack Bowden +1

Instrumental variable analysis is a widely used method to estimate causal effects in the presence of unmeasured confounding. When the instruments, exposure and outcome are not meas…

math.ST2016★ 6 cited

Models as Approximations II: A Model-Free Theory of Parametric Regression

Andreas Buja, Lawrence Brown, Arun Kumar Kuchibhotla +3

We develop a model-free theory of general types of parametric regression for iid observations. The theory replaces the parameters of parametric models with statistical functionals,…

cs.LG2016★ 13 cited

Fair Algorithms for Infinite and Contextual Bandits

Matthew Joseph, Michael Kearns, Jamie Morgenstern +2

We study fairness in linear bandit problems. Starting from the notion of meritocratic fairness introduced in Joseph et al. [2016], we carry out a more refined analysis of a more ge…

stat.ME2016

A Sparse PCA Approach to Clustering

T. Tony Cai, Linjun Zhang

We discuss a clustering method for Gaussian mixture model based on the sparse principal component analysis (SPCA) method and compare it with the IF-PCA method. We also discuss the…

stat.ME2016★ 18 cited

Covariate Balancing Propensity Score by Tailored Loss Functions

Qingyuan Zhao

In observational studies, propensity scores are commonly estimated by maxi- mum likelihood but may fail to balance high-dimensional pre-treatment covariates even after specificatio…

stat.ME2015★ 7 cited

High-Dimensional Gaussian Copula Regression: Adaptive Estimation and Statistical Inference

T. Tony Cai, Linjun Zhang

We develop adaptive estimation and inference methods for high-dimensional Gaussian copula regression that achieve the same performance without the knowledge of the marginal transfo…

stat.ME2014★ 2 cited

Instrumental Variables Estimation with Some Invalid Instruments and its Application to Mendelian Randomization

Hyunseung Kang, Anru Zhang, T. Tony Cai +1

Instrumental variables have been widely used for estimating the causal effect between exposure and outcome. Conventional estimation methods require complete knowledge about all the…

cs.IT2013★ 4 cited

Sparse Representation of a Polytope and Recovery of Sparse Signals and Low-rank Matrices

T. Tony Cai, Anru Zhang

This paper considers compressed sensing and affine rank minimization in both noiseless and noisy cases and establishes sharp restricted isometry conditions for sparse signal and lo…

math.PR2011★ 6 cited

A tail inequality for quadratic forms of subgaussian random vectors

Daniel Hsu, Sham M. Kakade, Tong Zhang

We prove an exponential probability tail inequality for positive semidefinite quadratic forms in a subgaussian random vector. The bound is analogous to one that holds when the vect…

cs.LG2011★ 41 cited

Spectral Methods for Learning Multivariate Latent Tree Structure

Animashree Anandkumar, Kamalika Chaudhuri, Daniel Hsu +3

This work considers the problem of learning the structure of multivariate linear tree models, which include a variety of directed tree graphical models with continuous, discrete, a…

stat.ML2010★ 25 cited

Robust Matrix Decomposition with Outliers

Daniel Hsu, Sham M. Kakade, Tong Zhang

Suppose a given observation matrix can be decomposed as the sum of a low-rank matrix and a sparse matrix (outliers), and the goal is to recover these individual components from the…