
On the Risk of MinimumNorm Interpolants and Restricted Lower Isometry of Kernels
We study the risk of minimumnorm interpolants of data in a Reproducing ...
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FisherRao Metric, Geometry, and Complexity of Neural Networks
We study the relationship between geometry and capacity measures for dee...
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Weighted Message Passing and Minimum Energy Flow for Heterogeneous Stochastic Block Models with Side Information
We study the misclassification error for community detection in general ...
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Inference via Message Passing on Partially Labeled Stochastic Block Models
We study the community detection and recovery problem in partiallylabel...
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Learning with Square Loss: Localization through Offset Rademacher Complexity
We consider regression with square loss and general classes of functions...
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Computational and Statistical Boundaries for Submatrix Localization in a Large Noisy Matrix
The interplay between computational efficiency and statistical accuracy ...
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Geometric Inference for General HighDimensional Linear Inverse Problems
This paper presents a unified geometric framework for the statistical an...
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On ZerothOrder Stochastic Convex Optimization via Random Walks
We propose a method for zeroth order stochastic convex optimization that...
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How Well Can Generative Adversarial Networks (GAN) Learn Densities: A Nonparametric View
We study in this paper the rate of convergence for learning densities un...
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Local Optimality and Generalization Guarantees for the Langevin Algorithm via Empirical Metastability
We study the detailed pathwise behavior of the discretetime Langevin a...
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Statistical Inference for the Population Landscape via Moment Adjusted Stochastic Gradients
Modern statistical inference tasks often require iterative optimization ...
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How Well Can Generative Adversarial Networks Learn Densities: A Nonparametric View
We study in this paper the rate of convergence for learning densities un...
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Interaction Matters: A Note on Nonasymptotic Local Convergence of Generative Adversarial Networks
Motivated by the pursuit of a systematic computational and algorithmic u...
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Just Interpolate: Kernel "Ridgeless" Regression Can Generalize
In the absence of explicit regularization, Kernel "Ridgeless" Regression...
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Deep Neural Networks for Estimation and Inference: Application to Causal Effects and Other Semiparametric Estimands
We study deep neural networks and their use in semiparametric inference....
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On How Well Generative Adversarial Networks Learn Densities: Nonparametric and Parametric Results
We study in this paper the rate of convergence for learning distribution...
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Training Neural Networks as Learning Dataadaptive Kernels: Provable Representation and Approximation Benefits
Consider the problem: given data pair (x, y) drawn from a population wit...
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On the Minimax Optimality of Estimating the Wasserstein Metric
We study the minimax optimal rate for estimating the Wasserstein1 metri...
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Estimating Certain Integral Probability Metric (IPM) is as Hard as Estimating under the IPM
We study the minimax optimal rates for estimating a range of Integral Pr...
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A Precise HighDimensional Asymptotic Theory for Boosting and MinL1Norm Interpolated Classifiers
This paper establishes a precise highdimensional asymptotic theory for ...
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Mehler's Formula, Branching Process, and Compositional Kernels of Deep Neural Networks
In this paper, we utilize a connection between compositional kernels and...
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Tengyuan Liang
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Assistant professor at Chicago Booth. He is also the George C. Tiao faculty fellow in data science research.