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Xiaojun Lin

6 accepted papers

2025

Quantum Algorithms for Finite-horizon Markov Decision Processes

ICML 2025poster

In this work, we design quantum algorithms that are more efficient than classical algorithms to solve time-dependent and finite-horizon Markov Decision Processes (MDPs) in two distinct settings: (1) In the exact dynamics setting, where the agent has full knowledge of the environment's dynamics (i.e.…

Cited by 0SourcePDFScholar
2022

On the Generalization Power of the Overfitted Three-Layer Neural Tangent Kernel Model

NeurIPS 2022accept

In this paper, we study the generalization performance of overparameterized 3-layer NTK models. We show that, for a specific set of ground-truth functions (which we refer to as the "learnable set"), the test error of the overfitted 3-layer NTK is upper bounded by an expression that decreases with th…

Cited by 10SourcePDFScholar
2021

On the Generalization Power of Overfitted Two-Layer Neural Tangent Kernel Models

ICML 2021spotlight

In this paper, we study the generalization performance of min $\ell_2$-norm overfitting solutions for the neural tangent kernel (NTK) model of a two-layer neural network with ReLU activation that has no bias term. We show that, depending on the ground-truth function, the test error of overfitted NTK…

Cited by 15SourcePDFScholar
2020

Overfitting Can Be Harmless for Basis Pursuit, But Only to a Degree

NeurIPS 2020spotlight

Recently, there have been significant interests in studying the so-called "double-descent" of the generalization error of linear regression models under the overparameterized and overfitting regime, with the hope that such analysis may provide the first step towards understanding why overparameteriz…